%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC068-1 : 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 : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:55 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.62s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC068-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 14:12:30 EDT 2026 % 0.06/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.62 % SZS status Unsatisfiable % 0.44/0.62 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.sk4 $$unsorted) % 0.44/0.63 (declare-const tptp.sk2 $$unsorted) % 0.44/0.63 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.nil $$unsorted) % 0.44/0.63 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.sk1 $$unsorted) % 0.44/0.63 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skac2 $$unsorted) % 0.44/0.63 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.sk3 $$unsorted) % 0.44/0.63 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skac3 $$unsorted) % 0.44/0.63 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (define @t1 () (tptp.ssList tptp.nil)) % 0.44/0.63 (define @t2 () (@var "U" $$unsorted)) % 0.44/0.63 (define @t3 () (tptp.skaf83 @t2)) % 0.44/0.63 (define @t4 () (@list @t2)) % 0.44/0.63 (define @t5 () (tptp.skaf82 @t2)) % 0.44/0.63 (define @t6 () (tptp.skaf81 @t2)) % 0.44/0.63 (define @t7 () (tptp.skaf80 @t2)) % 0.44/0.63 (define @t8 () (tptp.skaf79 @t2)) % 0.44/0.63 (define @t9 () (tptp.skaf78 @t2)) % 0.44/0.63 (define @t10 () (tptp.skaf77 @t2)) % 0.44/0.63 (define @t11 () (tptp.skaf76 @t2)) % 0.44/0.63 (define @t12 () (tptp.skaf75 @t2)) % 0.44/0.63 (define @t13 () (tptp.skaf74 @t2)) % 0.44/0.63 (define @t14 () (tptp.skaf73 @t2)) % 0.44/0.63 (define @t15 () (tptp.skaf72 @t2)) % 0.44/0.63 (define @t16 () (tptp.skaf71 @t2)) % 0.44/0.63 (define @t17 () (tptp.skaf70 @t2)) % 0.44/0.63 (define @t18 () (tptp.skaf69 @t2)) % 0.44/0.63 (define @t19 () (tptp.skaf68 @t2)) % 0.44/0.63 (define @t20 () (tptp.skaf67 @t2)) % 0.44/0.63 (define @t21 () (tptp.skaf66 @t2)) % 0.44/0.63 (define @t22 () (tptp.skaf65 @t2)) % 0.44/0.63 (define @t23 () (tptp.skaf64 @t2)) % 0.44/0.63 (define @t24 () (tptp.skaf63 @t2)) % 0.44/0.63 (define @t25 () (tptp.skaf62 @t2)) % 0.44/0.63 (define @t26 () (tptp.skaf61 @t2)) % 0.44/0.63 (define @t27 () (tptp.skaf60 @t2)) % 0.44/0.63 (define @t28 () (tptp.skaf59 @t2)) % 0.44/0.63 (define @t29 () (tptp.skaf58 @t2)) % 0.44/0.63 (define @t30 () (tptp.skaf57 @t2)) % 0.44/0.63 (define @t31 () (tptp.skaf56 @t2)) % 0.44/0.63 (define @t32 () (tptp.skaf55 @t2)) % 0.44/0.63 (define @t33 () (tptp.skaf54 @t2)) % 0.44/0.63 (define @t34 () (tptp.skaf53 @t2)) % 0.44/0.63 (define @t35 () (tptp.skaf52 @t2)) % 0.44/0.63 (define @t36 () (tptp.skaf51 @t2)) % 0.44/0.63 (define @t37 () (tptp.skaf50 @t2)) % 0.44/0.63 (define @t38 () (tptp.skaf49 @t2)) % 0.44/0.63 (define @t39 () (tptp.skaf44 @t2)) % 0.44/0.63 (define @t40 () (@var "V" $$unsorted)) % 0.44/0.63 (define @t41 () (@list @t2 @t40)) % 0.44/0.63 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.44/0.63 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.44/0.63 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.44/0.63 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.44/0.63 (define @t46 () (not (tptp.ssItem @t2))) % 0.44/0.63 (define @t47 () (not (tptp.ssList @t2))) % 0.44/0.63 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.44/0.63 (define @t49 () (tptp.ssItem @t40)) % 0.44/0.63 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.44/0.63 (define @t51 () (tptp.app @t2 tptp.nil)) % 0.44/0.63 (define @t52 () (or @t47 (= @t51 @t2))) % 0.44/0.63 (define @t53 () (forall @t4 @t52)) % 0.44/0.63 (define @t54 () (= tptp.nil @t2)) % 0.44/0.63 (define @t55 () (tptp.tl @t2)) % 0.44/0.63 (define @t56 () (tptp.hd @t2)) % 0.44/0.63 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.44/0.63 (define @t58 () (not @t54)) % 0.44/0.63 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.44/0.63 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.44/0.63 (define @t61 () (tptp.app @t40 @t2)) % 0.44/0.63 (define @t62 () (not (tptp.ssList @t40))) % 0.44/0.63 (define @t63 () (tptp.cons @t2 @t40)) % 0.44/0.63 (define @t64 () (tptp.cyclefreeP @t2)) % 0.44/0.63 (define @t65 () (tptp.equalelemsP @t2)) % 0.44/0.63 (define @t66 () (tptp.strictorderedP @t2)) % 0.44/0.63 (define @t67 () (tptp.totalorderedP @t2)) % 0.44/0.63 (define @t68 () (tptp.strictorderP @t2)) % 0.44/0.63 (define @t69 () (tptp.totalorderP @t2)) % 0.44/0.63 (define @t70 () (= @t40 @t2)) % 0.44/0.63 (define @t71 () (tptp.neq @t40 @t2)) % 0.44/0.63 (define @t72 () (or @t47 @t62 @t71 @t70)) % 0.44/0.63 (define @t73 () (forall @t41 @t72)) % 0.44/0.63 (define @t74 () (not @t49)) % 0.44/0.63 (define @t75 () (tptp.leq @t2 @t40)) % 0.44/0.63 (define @t76 () (tptp.lt @t2 @t40)) % 0.44/0.63 (define @t77 () (not @t76)) % 0.44/0.63 (define @t78 () (tptp.lt @t40 @t2)) % 0.44/0.63 (define @t79 () (not (tptp.gt @t2 @t40))) % 0.44/0.63 (define @t80 () (tptp.gt @t40 @t2)) % 0.44/0.63 (define @t81 () (tptp.leq @t40 @t2)) % 0.44/0.63 (define @t82 () (not (tptp.geq @t2 @t40))) % 0.44/0.63 (define @t83 () (tptp.geq @t40 @t2)) % 0.44/0.63 (define @t84 () (not @t75)) % 0.44/0.63 (define @t85 () (= @t2 @t40)) % 0.44/0.63 (define @t86 () (not @t85)) % 0.44/0.63 (define @t87 () (tptp.cons @t40 @t2)) % 0.44/0.63 (define @t88 () (not (tptp.neq @t2 @t40))) % 0.44/0.63 (define @t89 () (tptp.app @t2 @t40)) % 0.44/0.63 (define @t90 () (= @t89 tptp.nil)) % 0.44/0.63 (define @t91 () (not @t90)) % 0.44/0.63 (define @t92 () (= tptp.nil @t40)) % 0.44/0.63 (define @t93 () (tptp.hd @t40)) % 0.44/0.63 (define @t94 () (tptp.strictorderedP @t40)) % 0.44/0.63 (define @t95 () (tptp.strictorderedP @t63)) % 0.44/0.63 (define @t96 () (not @t95)) % 0.44/0.63 (define @t97 () (tptp.totalorderedP @t40)) % 0.44/0.63 (define @t98 () (tptp.totalorderedP @t63)) % 0.44/0.63 (define @t99 () (not @t98)) % 0.44/0.63 (define @t100 () (not (tptp.segmentP @t2 @t40))) % 0.44/0.63 (define @t101 () (not (tptp.rearsegP @t2 @t40))) % 0.44/0.63 (define @t102 () (not (tptp.frontsegP @t2 @t40))) % 0.44/0.63 (define @t103 () (not @t81)) % 0.44/0.63 (define @t104 () (tptp.tl @t40)) % 0.44/0.63 (define @t105 () (tptp.lt @t2 @t93)) % 0.44/0.63 (define @t106 () (tptp.leq @t2 @t93)) % 0.44/0.63 (define @t107 () (@var "W" $$unsorted)) % 0.44/0.63 (define @t108 () (tptp.app @t107 @t2)) % 0.44/0.63 (define @t109 () (not (tptp.ssList @t107))) % 0.44/0.63 (define @t110 () (@list @t2 @t40 @t107)) % 0.44/0.63 (define @t111 () (tptp.app @t2 @t107)) % 0.44/0.63 (define @t112 () (tptp.cons @t40 @t107)) % 0.44/0.63 (define @t113 () (tptp.cons @t107 @t2)) % 0.44/0.63 (define @t114 () (not (tptp.ssItem @t107))) % 0.44/0.63 (define @t115 () (not (tptp.memberP @t2 @t40))) % 0.44/0.63 (define @t116 () (tptp.rearsegP @t107 @t40)) % 0.44/0.63 (define @t117 () (not (= @t89 @t107))) % 0.44/0.63 (define @t118 () (or @t117 @t47 @t62 @t109 @t116)) % 0.44/0.63 (define @t119 () (forall @t110 @t118)) % 0.44/0.63 (define @t120 () (not @t92)) % 0.44/0.63 (define @t121 () (or @t58 @t120 @t62 @t47 @t90)) % 0.44/0.63 (define @t122 () (forall @t41 @t121)) % 0.44/0.63 (define @t123 () (tptp.lt @t2 @t107)) % 0.44/0.63 (define @t124 () (not (tptp.lt @t40 @t107))) % 0.44/0.63 (define @t125 () (tptp.app @t107 @t40)) % 0.44/0.63 (define @t126 () (= @t40 @t107)) % 0.44/0.63 (define @t127 () (= @t2 @t107)) % 0.44/0.63 (define @t128 () (tptp.memberP @t40 @t107)) % 0.44/0.63 (define @t129 () (@var "X" $$unsorted)) % 0.44/0.63 (define @t130 () (not (tptp.ssList @t129))) % 0.44/0.63 (define @t131 () (tptp.cons @t107 @t129)) % 0.44/0.63 (define @t132 () (not (= @t63 @t131))) % 0.44/0.63 (define @t133 () (@list @t2 @t40 @t107 @t129)) % 0.44/0.63 (define @t134 () (tptp.segmentP @t129 @t40)) % 0.44/0.63 (define @t135 () (tptp.app @t89 @t107)) % 0.44/0.63 (define @t136 () (not (= @t135 @t129))) % 0.44/0.63 (define @t137 () (or @t136 @t109 @t47 @t62 @t130 @t134)) % 0.44/0.63 (define @t138 () (forall @t133 @t137)) % 0.44/0.63 (define @t139 () (not (tptp.frontsegP @t63 @t131))) % 0.44/0.63 (define @t140 () (tptp.app @t2 @t112)) % 0.44/0.63 (define @t141 () (not (tptp.ssItem @t129))) % 0.44/0.63 (define @t142 () (@var "Y" $$unsorted)) % 0.44/0.63 (define @t143 () (not (tptp.ssList @t142))) % 0.44/0.63 (define @t144 () (@list @t2 @t40 @t107 @t129 @t142)) % 0.44/0.63 (define @t145 () (tptp.lt @t40 @t129)) % 0.44/0.63 (define @t146 () (@var "Z" $$unsorted)) % 0.44/0.63 (define @t147 () (not (tptp.ssList @t146))) % 0.44/0.63 (define @t148 () (not (= (tptp.app @t140 (tptp.cons @t129 @t142)) @t146))) % 0.44/0.63 (define @t149 () (@list @t2 @t40 @t107 @t129 @t142 @t146)) % 0.44/0.63 (define @t150 () (tptp.leq @t40 @t129)) % 0.44/0.63 (define @t151 () (tptp.ssList tptp.sk1)) % 0.44/0.63 (define @t152 () (tptp.ssList tptp.sk2)) % 0.44/0.63 (define @t153 () (tptp.ssList tptp.sk4)) % 0.44/0.63 (define @t154 () (tptp.app tptp.sk4 tptp.sk4)) % 0.44/0.63 (define @t155 () (= tptp.sk2 tptp.sk4)) % 0.44/0.63 (define @t156 () (= tptp.sk1 tptp.sk3)) % 0.44/0.63 (define @t157 () (@var "A" $$unsorted)) % 0.44/0.63 (define @t158 () (= tptp.nil tptp.sk1)) % 0.44/0.63 (define @t159 () (not @t158)) % 0.44/0.63 (define @t160 () (= tptp.nil tptp.sk2)) % 0.44/0.63 (define @t161 () (not @t160)) % 0.44/0.63 (define @t162 () (= tptp.nil (tptp.app tptp.nil tptp.nil))) % 0.44/0.63 (define @t163 () (not @t1)) % 0.44/0.63 (define @t164 () (or @t163 @t162)) % 0.44/0.63 (define @t165 () (not (= tptp.nil tptp.nil))) % 0.44/0.63 (define @t166 () (or @t165 @t163 @t162)) % 0.44/0.63 (define @t167 () (= tptp.nil (tptp.app tptp.nil @t40))) % 0.44/0.63 (define @t168 () (@list @t40)) % 0.44/0.63 (define @t169 () (or @t120 @t120 @t62 @t167)) % 0.44/0.63 (define @t170 () (or @t120 @t62 @t167)) % 0.44/0.63 (define @t171 () (forall @t168 @t170)) % 0.44/0.63 (define @t172 () (or @t163 @t171)) % 0.44/0.63 (define @t173 () (or @t163 @t170)) % 0.44/0.63 (define @t174 () (or @t120 @t62 @t163 @t167)) % 0.44/0.63 (define @t175 () (or @t165 @t120 @t62 @t163 @t167)) % 0.44/0.63 (define @t176 () (= tptp.nil @t89)) % 0.44/0.63 (define @t177 () (or @t58 @t58 @t120 @t62 @t47 @t176)) % 0.44/0.63 (define @t178 () (or @t58 @t120 @t62 @t47 @t176)) % 0.44/0.63 (define @t179 () (forall @t4 @t178)) % 0.44/0.63 (define @t180 () (forall @t168 @t179)) % 0.44/0.63 (define @t181 () (forall (@list @t40 @t2) @t178)) % 0.44/0.63 (define @t182 () (@list tptp.sk2)) % 0.44/0.63 (define @t183 () (tptp.app tptp.sk2 tptp.nil)) % 0.44/0.63 (define @t184 () (= tptp.sk2 @t183)) % 0.44/0.63 (define @t185 () (not @t152)) % 0.44/0.63 (define @t186 () (or @t185 @t184)) % 0.44/0.63 (define @t187 () (@list false false)) % 0.44/0.63 (define @t188 () (@list @t152 @t186)) % 0.44/0.63 (define @t189 () (tptp.rearsegP tptp.nil tptp.sk2)) % 0.44/0.63 (define @t190 () (not @t189)) % 0.44/0.63 (define @t191 () (or @t190 @t185 @t160)) % 0.44/0.63 (define @t192 () (tptp.rearsegP @t89 @t40)) % 0.44/0.63 (define @t193 () (not (tptp.ssList @t89))) % 0.44/0.63 (define @t194 () (not (= @t89 @t89))) % 0.44/0.63 (define @t195 () (or @t194 @t47 @t62 @t193 @t192)) % 0.44/0.63 (define @t196 () (@list @t107)) % 0.44/0.63 (define @t197 () (or @t117 @t117 @t47 @t62 @t109 @t116)) % 0.44/0.63 (define @t198 () (forall @t196 @t118)) % 0.44/0.63 (define @t199 () (forall @t41 @t198)) % 0.44/0.63 (define @t200 () (tptp.ssList @t154)) % 0.44/0.63 (define @t201 () (tptp.rearsegP @t154 tptp.sk4)) % 0.44/0.63 (define @t202 () (not @t200)) % 0.44/0.63 (define @t203 () (not @t153)) % 0.44/0.63 (define @t204 () (or @t203 @t203 @t202 @t201)) % 0.44/0.63 (define @t205 () (= tptp.sk3 @t154)) % 0.44/0.63 (define @t206 () (and @t155 @t156 @t158 @t205 @t201)) % 0.44/0.63 (define @t207 () (not @t156)) % 0.44/0.63 (define @t208 () (not @t155)) % 0.44/0.63 (define @t209 () (not @t205)) % 0.44/0.63 (define @t210 () (tptp.segmentP @t135 @t40)) % 0.44/0.63 (define @t211 () (not (tptp.ssList @t135))) % 0.44/0.63 (define @t212 () (not (= @t135 @t135))) % 0.44/0.63 (define @t213 () (or @t212 @t109 @t47 @t62 @t211 @t210)) % 0.44/0.63 (define @t214 () (not (= @t129 @t135))) % 0.44/0.63 (define @t215 () (or @t214 @t214 @t109 @t47 @t62 @t130 @t134)) % 0.44/0.63 (define @t216 () (@list @t129)) % 0.44/0.63 (define @t217 () (or @t214 @t109 @t47 @t62 @t130 @t134)) % 0.44/0.63 (define @t218 () (forall @t216 @t217)) % 0.44/0.63 (define @t219 () (forall @t110 @t218)) % 0.44/0.63 (define @t220 () (tptp.app tptp.sk1 tptp.nil)) % 0.44/0.63 (define @t221 () (= tptp.sk1 @t220)) % 0.44/0.63 (define @t222 () (not @t151)) % 0.44/0.63 (define @t223 () (or @t222 @t221)) % 0.44/0.63 (define @t224 () (tptp.app @t154 tptp.nil)) % 0.44/0.63 (define @t225 () (tptp.ssList @t224)) % 0.44/0.63 (define @t226 () (tptp.segmentP @t224 tptp.sk4)) % 0.44/0.63 (define @t227 () (not @t225)) % 0.44/0.63 (define @t228 () (or @t163 @t203 @t203 @t227 @t226)) % 0.44/0.63 (define @t229 () (@list false false false false)) % 0.44/0.63 (define @t230 () (tptp.segmentP tptp.sk1 tptp.sk2)) % 0.44/0.63 (define @t231 () (tptp.segmentP tptp.sk2 tptp.sk2)) % 0.44/0.63 (define @t232 () (or @t185 @t231)) % 0.44/0.63 (define @t233 () (not @t230)) % 0.44/0.63 (define @t234 () (not @t231)) % 0.44/0.63 (define @t235 () (tptp.neq tptp.sk2 tptp.nil)) % 0.44/0.63 (define @t236 () (not @t235)) % 0.44/0.63 (define @t237 () (or @t185 @t236 @t234 @t233)) % 0.44/0.63 (define @t238 () (or @t163 @t185 @t235 @t160)) % 0.44/0.63 (define @t239 () (not @t184)) % 0.44/0.63 (define @t240 () (not @t162)) % 0.44/0.63 (define @t241 () (= tptp.sk4 @t154)) % 0.44/0.63 (define @t242 () (tptp.app tptp.sk4 tptp.sk2)) % 0.44/0.63 (define @t243 () (and @t162 @t160 @t155 @t241 @t205 @t156 @t159)) % 0.44/0.63 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.44/0.63 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.44/0.63 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.44/0.63 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.44/0.63 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.44/0.63 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.44/0.63 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.44/0.63 (assume @p8 @t1) % 0.44/0.63 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.44/0.63 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.44/0.63 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.44/0.63 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.44/0.63 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.44/0.63 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.44/0.63 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.44/0.63 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.44/0.63 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.44/0.63 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.44/0.63 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.44/0.63 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.44/0.63 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.44/0.63 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.44/0.63 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.44/0.63 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.44/0.63 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.44/0.63 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.44/0.63 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.44/0.63 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.44/0.63 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.44/0.63 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.44/0.63 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.44/0.63 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.44/0.63 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.44/0.63 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.44/0.63 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.44/0.63 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.44/0.63 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.44/0.63 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.44/0.63 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.44/0.63 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.44/0.63 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.44/0.63 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.44/0.63 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.44/0.63 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.44/0.63 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.44/0.63 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.44/0.63 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.44/0.63 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.44/0.63 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.44/0.63 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.44/0.63 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.44/0.63 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.44/0.63 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.44/0.63 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.44/0.63 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.44/0.63 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.44/0.63 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.44/0.63 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.44/0.63 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.44/0.63 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.44/0.63 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.44/0.63 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.44/0.63 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.44/0.63 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.44/0.63 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.44/0.63 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.44/0.63 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.44/0.63 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.44/0.63 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.44/0.63 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.44/0.63 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.44/0.63 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.44/0.63 (assume @p73 @t53) % 0.44/0.63 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.44/0.63 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.44/0.63 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.44/0.63 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.44/0.63 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.44/0.63 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 0.44/0.63 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.44/0.63 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 0.44/0.63 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 0.44/0.63 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 0.44/0.63 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 0.44/0.63 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 0.44/0.63 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 0.44/0.63 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 0.44/0.63 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 0.44/0.63 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 0.44/0.63 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 0.44/0.63 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 0.44/0.63 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 0.44/0.63 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 0.44/0.63 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 0.44/0.63 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 0.44/0.63 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 0.44/0.63 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 0.44/0.63 (assume @p98 @t73) % 0.44/0.63 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.44/0.63 (assume @p100 (forall @t41 (or @t46 @t74 @t71 @t70))) % 0.44/0.63 (assume @p101 (forall @t41 (or @t77 @t74 @t46 @t75))) % 0.44/0.63 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 0.44/0.63 (assume @p103 (forall @t41 (or @t79 @t74 @t46 @t78))) % 0.44/0.63 (assume @p104 (forall @t41 (or @t77 @t46 @t74 @t80))) % 0.44/0.63 (assume @p105 (forall @t41 (or @t82 @t74 @t46 @t81))) % 0.44/0.63 (assume @p106 (forall @t41 (or @t84 @t46 @t74 @t83))) % 0.44/0.63 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 0.44/0.63 (assume @p108 (forall @t41 (or @t79 (not @t80) @t46 @t74))) % 0.44/0.63 (assume @p109 (forall @t41 (or @t86 @t77 @t74 @t46))) % 0.44/0.63 (assume @p110 (forall @t41 (or @t58 @t47 @t74 (tptp.strictorderedP @t87)))) % 0.44/0.63 (assume @p111 (forall @t41 (or @t58 @t47 @t74 (tptp.totalorderedP @t87)))) % 0.44/0.63 (assume @p112 (forall @t41 (or @t77 (not @t78) @t46 @t74))) % 0.44/0.63 (assume @p113 (forall @t41 (or @t86 @t88 @t62 @t47))) % 0.44/0.63 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 0.44/0.63 (assume @p115 (forall @t41 (or @t86 @t88 @t74 @t46))) % 0.44/0.63 (assume @p116 (forall @t41 (or @t91 @t62 @t47 @t54))) % 0.44/0.63 (assume @p117 (forall @t41 (or @t91 @t62 @t47 @t92))) % 0.44/0.63 (assume @p118 (forall @t41 (or @t46 @t62 (= (tptp.app @t48 @t40) @t63)))) % 0.44/0.63 (assume @p119 (forall @t41 (or @t84 @t74 @t46 @t76 @t85))) % 0.44/0.63 (assume @p120 (forall @t41 (or @t47 @t62 @t92 (= (tptp.hd @t61) @t93)))) % 0.44/0.63 (assume @p121 (forall @t41 (or @t96 @t62 @t46 @t94 @t92))) % 0.44/0.63 (assume @p122 (forall @t41 (or @t99 @t62 @t46 @t97 @t92))) % 0.44/0.63 (assume @p123 (forall @t41 (or @t82 (not @t83) @t46 @t74 @t70))) % 0.44/0.63 (assume @p124 (forall @t41 (or @t100 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t70))) % 0.44/0.63 (assume @p125 (forall @t41 (or @t101 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t70))) % 0.44/0.63 (assume @p126 (forall @t41 (or @t102 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t70))) % 0.44/0.63 (assume @p127 (forall @t41 (or @t84 @t103 @t46 @t74 @t70))) % 0.44/0.63 (assume @p128 (forall @t41 (or @t101 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.44/0.63 (assume @p129 (forall @t41 (or @t102 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.44/0.63 (assume @p130 (forall @t41 (or @t47 @t62 @t92 (= (tptp.tl @t61) (tptp.app @t104 @t2))))) % 0.44/0.63 (assume @p131 (forall @t41 (or @t96 @t62 @t46 @t105 @t92))) % 0.44/0.63 (assume @p132 (forall @t41 (or @t99 @t62 @t46 @t106 @t92))) % 0.44/0.63 (assume @p133 (forall @t110 (or @t101 @t109 @t62 @t47 (tptp.rearsegP @t108 @t40)))) % 0.44/0.63 (assume @p134 (forall @t110 (or @t102 @t109 @t62 @t47 (tptp.frontsegP @t111 @t40)))) % 0.44/0.63 (assume @p135 (forall @t110 (or @t86 @t109 @t74 @t46 (tptp.memberP @t112 @t2)))) % 0.44/0.63 (assume @p136 (forall @t110 (or @t115 @t47 @t114 @t74 (tptp.memberP @t113 @t40)))) % 0.44/0.63 (assume @p137 (forall @t110 (or @t115 @t109 @t47 @t74 (tptp.memberP @t111 @t40)))) % 0.44/0.63 (assume @p138 (forall @t110 (or @t115 @t47 @t109 @t74 (tptp.memberP @t108 @t40)))) % 0.44/0.63 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.44/0.63 (assume @p140 @t119) % 0.44/0.63 (assume @p141 (forall @t110 (or @t117 @t62 @t47 @t109 (tptp.frontsegP @t107 @t2)))) % 0.44/0.63 (assume @p142 @t122) % 0.44/0.63 (assume @p143 (forall @t110 (or @t79 (not (tptp.gt @t40 @t107)) @t114 @t74 @t46 (tptp.gt @t2 @t107)))) % 0.44/0.63 (assume @p144 (forall @t110 (or @t84 @t124 @t114 @t74 @t46 @t123))) % 0.44/0.63 (assume @p145 (forall @t110 (or @t82 (not (tptp.geq @t40 @t107)) @t114 @t74 @t46 (tptp.geq @t2 @t107)))) % 0.44/0.63 (assume @p146 (forall @t110 (or @t47 @t62 @t109 (= (tptp.app @t125 @t2) (tptp.app @t107 @t61))))) % 0.44/0.63 (assume @p147 (forall @t110 (or (not (= @t89 @t111)) @t62 @t47 @t109 @t126))) % 0.44/0.63 (assume @p148 (forall @t110 (or (not (= @t89 @t125)) @t47 @t62 @t109 @t127))) % 0.44/0.63 (assume @p149 (forall @t110 (or @t100 (not (tptp.segmentP @t40 @t107)) @t109 @t62 @t47 (tptp.segmentP @t2 @t107)))) % 0.44/0.63 (assume @p150 (forall @t110 (or @t101 (not (tptp.rearsegP @t40 @t107)) @t109 @t62 @t47 (tptp.rearsegP @t2 @t107)))) % 0.44/0.63 (assume @p151 (forall @t110 (or @t102 (not (tptp.frontsegP @t40 @t107)) @t109 @t62 @t47 (tptp.frontsegP @t2 @t107)))) % 0.44/0.63 (assume @p152 (forall @t110 (or @t77 @t124 @t114 @t74 @t46 @t123))) % 0.44/0.63 (assume @p153 (forall @t110 (or @t84 (not (tptp.leq @t40 @t107)) @t114 @t74 @t46 (tptp.leq @t2 @t107)))) % 0.44/0.63 (assume @p154 (forall @t110 (or @t46 @t62 @t109 (= (tptp.cons @t2 (tptp.app @t40 @t107)) (tptp.app @t63 @t107))))) % 0.44/0.63 (assume @p155 (forall @t110 (or (not (tptp.memberP @t89 @t107)) @t62 @t47 @t114 @t128 (tptp.memberP @t2 @t107)))) % 0.44/0.63 (assume @p156 (forall @t41 (or (not @t106) (not @t97) @t62 @t46 @t98 @t92))) % 0.44/0.63 (assume @p157 (forall @t41 (or (not @t105) (not @t94) @t62 @t46 @t95 @t92))) % 0.44/0.63 (assume @p158 (forall @t110 (or (not (tptp.memberP @t63 @t107)) @t62 @t46 @t114 @t128 (= @t107 @t2)))) % 0.44/0.63 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.44/0.63 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.44/0.63 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.44/0.63 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.44/0.63 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.44/0.63 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.44/0.63 (assume @p165 (forall @t41 (or @t100 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.44/0.63 (assume @p166 (forall @t41 (or @t115 @t74 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.44/0.63 (assume @p167 (forall @t133 (or @t132 @t114 @t46 @t130 @t62 @t127))) % 0.44/0.63 (assume @p168 (forall @t133 (or @t132 @t114 @t46 @t130 @t62 (= @t129 @t40)))) % 0.44/0.63 (assume @p169 (forall @t133 (or @t100 @t109 @t130 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t129 @t2) @t107) @t40)))) % 0.44/0.63 (assume @p170 @t138) % 0.44/0.63 (assume @p171 (forall @t133 (or @t139 @t130 @t62 @t114 @t46 (tptp.frontsegP @t40 @t129)))) % 0.44/0.63 (assume @p172 (forall @t133 (or (not (= @t140 @t129)) @t109 @t47 @t74 @t130 (tptp.memberP @t129 @t40)))) % 0.44/0.63 (assume @p173 (forall @t133 (or @t139 @t130 @t62 @t114 @t46 @t127))) % 0.44/0.63 (assume @p174 (forall @t41 (or (not (= @t55 @t104)) (not (= @t56 @t93)) @t47 @t62 @t92 @t85 @t54))) % 0.44/0.63 (assume @p175 (forall @t133 (or @t102 (not (= @t107 @t129)) @t62 @t47 @t141 @t114 (tptp.frontsegP @t113 (tptp.cons @t129 @t40))))) % 0.44/0.63 (assume @p176 (forall @t144 (or (not (= (tptp.app @t140 (tptp.cons @t40 @t129)) @t142)) @t130 @t109 @t47 @t74 (not (tptp.duplicatefreeP @t142)) @t143))) % 0.44/0.63 (assume @p177 (forall @t144 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t131)) @t142)) @t130 @t47 @t114 @t74 (not (tptp.equalelemsP @t142)) @t143 @t126))) % 0.44/0.63 (assume @p178 (forall @t149 (or @t148 @t143 @t109 @t47 @t141 @t74 (not (tptp.strictorderedP @t146)) @t147 @t145))) % 0.44/0.63 (assume @p179 (forall @t149 (or @t148 @t143 @t109 @t47 @t141 @t74 (not (tptp.totalorderedP @t146)) @t147 @t150))) % 0.44/0.63 (assume @p180 (forall @t149 (or @t148 @t143 @t109 @t47 @t141 @t74 (not (tptp.strictorderP @t146)) @t147 @t145 (tptp.lt @t129 @t40)))) % 0.44/0.63 (assume @p181 (forall @t149 (or @t148 @t143 @t109 @t47 @t141 @t74 (not (tptp.totalorderP @t146)) @t147 @t150 (tptp.leq @t129 @t40)))) % 0.44/0.63 (assume @p182 (forall @t149 (or @t84 @t103 (not (= (tptp.app (tptp.app @t107 (tptp.cons @t2 @t129)) (tptp.cons @t40 @t142)) @t146)) @t143 @t130 @t109 @t74 @t46 (not (tptp.cyclefreeP @t146)) @t147))) % 0.44/0.63 (assume @p183 @t151) % 0.44/0.63 (assume @p184 @t152) % 0.44/0.63 (assume @p185 (tptp.ssList tptp.sk3)) % 0.44/0.63 (assume @p186 @t153) % 0.44/0.63 (assume @p187 (= @t154 tptp.sk3)) % 0.44/0.63 (assume @p188 @t155) % 0.44/0.63 (assume @p189 @t156) % 0.44/0.63 (assume @p190 (forall (@list @t157) (or (not (tptp.ssList @t157)) (not (tptp.neq @t157 tptp.nil)) (not (tptp.segmentP tptp.sk2 @t157)) (not (tptp.segmentP tptp.sk1 @t157))))) % 0.44/0.63 (assume @p191 (or @t161 @t159)) % 0.44/0.63 (step @p192 :rule aci_norm :args ((= (or @t163 @t164) @t164))) % 0.44/0.63 (step @p193 :rule aci_norm :args ((= (or false @t163 @t162) @t164))) % 0.44/0.63 (step @p194 :rule refl :args (@t162)) % 0.44/0.63 (step @p195 :rule refl :args (@t163)) % 0.44/0.63 (step @p196 :rule evaluate :args ((not true))) % 0.44/0.63 (step @p197 :rule eq-refl :args (tptp.nil)) % 0.44/0.63 (step @p198 :rule cong :premises (@p197) :args (@t165)) % 0.44/0.63 (step @p199 :rule trans :premises (@p198 @p196)) % 0.44/0.63 (step @p200 :rule nary_cong :premises (@p199 @p195 @p194) :args (@t166)) % 0.44/0.63 (step @p201 :rule trans :premises (@p200 @p193)) % 0.44/0.63 (step @p202 :rule quant-var-elim-eq :args ((= (forall @t168 (or (not (= @t40 tptp.nil)) @t120 @t62 @t167)) @t166))) % 0.44/0.63 (step @p203 :rule refl :args (@t167)) % 0.44/0.63 (step @p204 :rule refl :args (@t62)) % 0.44/0.63 (step @p205 :rule refl :args (@t120)) % 0.44/0.63 (step @p206 :rule eq-symm :args (tptp.nil @t40)) % 0.44/0.63 (step @p207 :rule cong :premises (@p206) :args (@t120)) % 0.44/0.63 (step @p208 :rule nary_cong :premises (@p207 @p205 @p204 @p203) :args (@t169)) % 0.44/0.63 (step @p209 :rule aci_norm :args ((= @t170 @t169))) % 0.44/0.63 (step @p210 :rule trans :premises (@p209 @p208)) % 0.44/0.63 (step @p211 :rule cong :premises (@p210) :args (@t171)) % 0.44/0.63 (step @p212 :rule trans :premises (@p211 @p202)) % 0.44/0.63 (step @p213 :rule trans :premises (@p212 @p201)) % 0.44/0.63 (step @p214 :rule nary_cong :premises (@p195 @p213) :args (@t172)) % 0.44/0.63 (step @p215 :rule trans :premises (@p214 @p192)) % 0.44/0.63 (step @p216 :rule quant-miniscope-or :args ((= (forall @t168 @t173) @t172))) % 0.44/0.63 (step @p217 :rule aci_norm :args ((= @t174 @t173))) % 0.44/0.63 (step @p218 :rule cong :premises (@p217) :args ((forall @t168 @t174))) % 0.44/0.63 (step @p219 :rule trans :premises (@p218 @p216)) % 0.44/0.63 (step @p220 :rule trans :premises (@p219 @p215)) % 0.44/0.63 (step @p221 :rule aci_norm :args ((= (or false @t120 @t62 @t163 @t167) @t174))) % 0.44/0.63 (step @p222 :rule refl :args (@t167)) % 0.44/0.63 (step @p223 :rule refl :args (@t62)) % 0.44/0.63 (step @p224 :rule refl :args (@t120)) % 0.44/0.63 (step @p225 :rule nary_cong :premises (@p199 @p224 @p223 @p195 @p222) :args (@t175)) % 0.44/0.63 (step @p226 :rule trans :premises (@p225 @p221)) % 0.44/0.63 (step @p227 :rule cong :premises (@p226) :args ((forall @t168 @t175))) % 0.44/0.63 (step @p228 :rule trans :premises (@p227 @p220)) % 0.44/0.63 (step @p229 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t58 @t120 @t62 @t47 @t176)) @t175))) % 0.44/0.63 (step @p230 :rule refl :args (@t176)) % 0.44/0.63 (step @p231 :rule refl :args (@t47)) % 0.44/0.63 (step @p232 :rule refl :args (@t58)) % 0.44/0.63 (step @p233 :rule eq-symm :args (tptp.nil @t2)) % 0.44/0.63 (step @p234 :rule cong :premises (@p233) :args (@t58)) % 0.44/0.63 (step @p235 :rule nary_cong :premises (@p234 @p232 @p205 @p204 @p231 @p230) :args (@t177)) % 0.44/0.63 (step @p236 :rule aci_norm :args ((= @t178 @t177))) % 0.44/0.63 (step @p237 :rule trans :premises (@p236 @p235)) % 0.44/0.63 (step @p238 :rule cong :premises (@p237) :args (@t179)) % 0.44/0.63 (step @p239 :rule trans :premises (@p238 @p229)) % 0.44/0.63 (step @p240 :rule cong :premises (@p239) :args (@t180)) % 0.44/0.63 (step @p241 :rule quant-merge-prenex :args ((= @t180 @t181))) % 0.44/0.63 (step @p242 :rule symm :premises (@p241)) % 0.44/0.63 (step @p243 :rule quant_var_reordering :args ((= (forall @t41 @t178) @t181))) % 0.44/0.63 (step @p244 :rule trans :premises (@p243 @p242 @p240)) % 0.44/0.63 (step @p245 :rule trans :premises (@p244 @p228)) % 0.44/0.63 (step @p246 :rule eq-symm :args (@t89 tptp.nil)) % 0.44/0.63 (step @p247 :rule refl :args (@t47)) % 0.44/0.63 (step @p248 :rule refl :args (@t58)) % 0.44/0.63 (step @p249 :rule nary_cong :premises (@p248 @p224 @p223 @p247 @p246) :args (@t121)) % 0.44/0.63 (step @p250 :rule cong :premises (@p249) :args (@t122)) % 0.44/0.63 (step @p251 :rule trans :premises (@p250 @p245)) % 0.44/0.63 (step @p252 :rule eq_resolve :premises (@p142 @p251)) % 0.44/0.63 (step @p253 :rule chain_m_resolution :premises (@p252 @p8) :args (@t162 (@list false) (@list @t1))) % 0.44/0.63 (step @p254 :rule symm :premises (@p187)) % 0.44/0.63 (step @p255 :rule eq-symm :args (@t51 @t2)) % 0.44/0.63 (step @p256 :rule nary_cong :premises (@p247 @p255) :args (@t52)) % 0.44/0.63 (step @p257 :rule cong :premises (@p256) :args (@t53)) % 0.44/0.63 (step @p258 :rule eq_resolve :premises (@p73 @p257)) % 0.44/0.63 (step @p259 :rule instantiate :premises (@p258) :args (@t182)) % 0.44/0.63 (step @p260 :rule cnf_or_pos :args (@t186)) % 0.44/0.63 (step @p261 :rule reordering :premises (@p260) :args ((or @t185 @t184 (not @t186)))) % 0.44/0.63 (step @p262 :rule chain_m_resolution :premises (@p261 @p184 @p259) :args (@t184 @t187 @t188)) % 0.44/0.63 (step @p263 :rule instantiate :premises (@p80) :args (@t182)) % 0.44/0.63 (step @p264 :rule cnf_or_pos :args (@t191)) % 0.44/0.63 (step @p265 :rule reordering :premises (@p264) :args ((or @t160 @t185 @t190 (not @t191)))) % 0.44/0.63 (step @p266 :rule aci_norm :args ((= (or false @t47 @t62 @t193 @t192) (or @t47 @t62 @t193 @t192)))) % 0.44/0.63 (step @p267 :rule refl :args (@t192)) % 0.44/0.63 (step @p268 :rule refl :args (@t193)) % 0.44/0.63 (step @p269 :rule eq-refl :args (@t89)) % 0.44/0.63 (step @p270 :rule cong :premises (@p269) :args (@t194)) % 0.44/0.63 (step @p271 :rule trans :premises (@p270 @p196)) % 0.44/0.63 (step @p272 :rule nary_cong :premises (@p271 @p247 @p223 @p268 @p267) :args (@t195)) % 0.44/0.63 (step @p273 :rule trans :premises (@p272 @p266)) % 0.44/0.63 (step @p274 :rule cong :premises (@p273) :args ((forall @t41 @t195))) % 0.44/0.63 (step @p275 :rule quant-var-elim-eq :args ((= (forall @t196 (or (not (= @t107 @t89)) @t117 @t47 @t62 @t109 @t116)) @t195))) % 0.44/0.63 (step @p276 :rule refl :args (@t116)) % 0.44/0.63 (step @p277 :rule refl :args (@t109)) % 0.44/0.63 (step @p278 :rule refl :args (@t117)) % 0.44/0.63 (step @p279 :rule eq-symm :args (@t89 @t107)) % 0.44/0.63 (step @p280 :rule cong :premises (@p279) :args (@t117)) % 0.44/0.63 (step @p281 :rule nary_cong :premises (@p280 @p278 @p231 @p204 @p277 @p276) :args (@t197)) % 0.44/0.63 (step @p282 :rule aci_norm :args ((= @t118 @t197))) % 0.44/0.63 (step @p283 :rule trans :premises (@p282 @p281)) % 0.44/0.63 (step @p284 :rule cong :premises (@p283) :args (@t198)) % 0.44/0.63 (step @p285 :rule trans :premises (@p284 @p275)) % 0.44/0.63 (step @p286 :rule cong :premises (@p285) :args (@t199)) % 0.44/0.63 (step @p287 :rule quant-merge-prenex :args ((= @t199 @t119))) % 0.44/0.63 (step @p288 :rule symm :premises (@p287)) % 0.44/0.63 (step @p289 :rule trans :premises (@p288 @p286)) % 0.44/0.63 (step @p290 :rule trans :premises (@p289 @p274)) % 0.44/0.63 (step @p291 :rule eq_resolve :premises (@p140 @p290)) % 0.44/0.63 (step @p292 :rule instantiate :premises (@p291) :args ((@list tptp.sk4 tptp.sk4))) % 0.44/0.63 (step @p293 :rule true_intro :premises (@p185)) % 0.44/0.63 (step @p294 :rule cong :premises (@p187) :args (@t200)) % 0.44/0.63 (step @p295 :rule trans :premises (@p294 @p293)) % 0.44/0.63 (step @p296 :rule true_elim :premises (@p295)) % 0.44/0.63 (step @p297 :rule cnf_or_pos :args (@t204)) % 0.44/0.63 (step @p298 :rule factoring :premises (@p297)) % 0.44/0.63 (step @p299 :rule reordering :premises (@p298) :args ((or @t203 @t202 @t201 (not @t204)))) % 0.44/0.63 (step @p300 :rule chain_m_resolution :premises (@p299 @p186 @p296 @p292) :args (@t201 (@list false false false) (@list @t153 @t200 @t204))) % 0.44/0.63 (assume-push @p468 @t155) % 0.44/0.63 (assume-push @p469 @t156) % 0.44/0.63 (assume-push @p470 @t158) % 0.44/0.63 (assume-push @p471 @t205) % 0.44/0.63 (assume-push @p472 @t201) % 0.44/0.63 (assume-push @p473 @t201) % 0.44/0.63 (assume-push @p474 @t205) % 0.44/0.63 (assume-push @p475 @t156) % 0.44/0.63 (assume-push @p476 @t158) % 0.44/0.63 (assume-push @p477 @t155) % 0.44/0.63 (step @p311 :rule true_intro :premises (@p300)) % 0.44/0.63 (step @p312 :rule trans :premises (@p189 @p254)) % 0.44/0.63 (step @p313 :rule trans :premises (@p470 @p312)) % 0.44/0.63 (step @p314 :rule cong :premises (@p313 @p188) :args (@t189)) % 0.44/0.63 (step @p315 :rule trans :premises (@p314 @p311)) % 0.44/0.63 (step @p316 :rule true_elim :premises (@p315)) % 0.44/0.63 (step-pop @p478 :rule scope :premises (@p316)) % 0.44/0.63 (step-pop @p479 :rule scope :premises (@p478)) % 0.44/0.63 (step-pop @p480 :rule scope :premises (@p479)) % 0.44/0.63 (step-pop @p481 :rule scope :premises (@p480)) % 0.44/0.63 (step-pop @p482 :rule scope :premises (@p481)) % 0.44/0.63 (step @p317 :rule process_scope :premises (@p482) :args (@t189)) % 0.44/0.63 (step @p323 :rule and_intro :premises (@p300 @p254 @p189 @p470 @p188)) % 0.44/0.63 (step @p324 :rule modus_ponens :premises (@p323 @p317)) % 0.44/0.63 (step-pop @p483 :rule scope :premises (@p324)) % 0.44/0.63 (step-pop @p484 :rule scope :premises (@p483)) % 0.44/0.63 (step-pop @p485 :rule scope :premises (@p484)) % 0.44/0.63 (step-pop @p486 :rule scope :premises (@p485)) % 0.44/0.63 (step-pop @p487 :rule scope :premises (@p486)) % 0.44/0.63 (step @p325 :rule process_scope :premises (@p487) :args (@t189)) % 0.44/0.63 (step @p331 :rule implies_elim :premises (@p325)) % 0.44/0.63 (step @p332 :rule cnf_and_neg :args (@t206)) % 0.44/0.63 (step @p333 :rule resolution :premises (@p332 @p331) :args (true @t206)) % 0.44/0.63 (step @p334 :rule reordering :premises (@p333) :args ((or @t159 @t209 @t208 @t207 @t189 (not @t201)))) % 0.44/0.63 (step @p335 :rule chain_m_resolution :premises (@p334 @p300 @p189 @p188 @p254 @p265 @p263 @p184 @p191) :args (@t159 (@list false false false false true false false true) (@list @t201 @t156 @t155 @t205 @t189 @t191 @t152 @t160))) % 0.44/0.63 (step @p336 :rule eq-symm :args (@t40 @t2)) % 0.44/0.63 (step @p337 :rule refl :args (@t71)) % 0.44/0.63 (step @p338 :rule nary_cong :premises (@p247 @p223 @p337 @p336) :args (@t72)) % 0.44/0.63 (step @p339 :rule cong :premises (@p338) :args (@t73)) % 0.44/0.63 (step @p340 :rule eq_resolve :premises (@p98 @p339)) % 0.44/0.63 (step @p341 :rule instantiate :premises (@p340) :args ((@list tptp.nil tptp.sk2))) % 0.44/0.63 (step @p342 :rule instantiate :premises (@p190) :args (@t182)) % 0.44/0.63 (step @p343 :rule aci_norm :args ((= (or false @t109 @t47 @t62 @t211 @t210) (or @t109 @t47 @t62 @t211 @t210)))) % 0.44/0.63 (step @p344 :rule refl :args (@t210)) % 0.44/0.63 (step @p345 :rule refl :args (@t211)) % 0.44/0.63 (step @p346 :rule refl :args (@t109)) % 0.44/0.63 (step @p347 :rule eq-refl :args (@t135)) % 0.44/0.63 (step @p348 :rule cong :premises (@p347) :args (@t212)) % 0.44/0.63 (step @p349 :rule trans :premises (@p348 @p196)) % 0.44/0.63 (step @p350 :rule nary_cong :premises (@p349 @p346 @p247 @p223 @p345 @p344) :args (@t213)) % 0.44/0.63 (step @p351 :rule trans :premises (@p350 @p343)) % 0.44/0.63 (step @p352 :rule cong :premises (@p351) :args ((forall @t110 @t213))) % 0.44/0.63 (step @p353 :rule quant-var-elim-eq :args ((= (forall @t216 @t215) @t213))) % 0.44/0.63 (step @p354 :rule aci_norm :args ((= @t217 @t215))) % 0.44/0.63 (step @p355 :rule cong :premises (@p354) :args (@t218)) % 0.44/0.63 (step @p356 :rule trans :premises (@p355 @p353)) % 0.44/0.63 (step @p357 :rule cong :premises (@p356) :args (@t219)) % 0.44/0.63 (step @p358 :rule quant-merge-prenex :args ((= @t219 (forall @t133 @t217)))) % 0.44/0.63 (step @p359 :rule symm :premises (@p358)) % 0.44/0.63 (step @p360 :rule trans :premises (@p359 @p357)) % 0.44/0.63 (step @p361 :rule trans :premises (@p360 @p352)) % 0.44/0.63 (step @p362 :rule refl :args (@t134)) % 0.44/0.63 (step @p363 :rule refl :args (@t130)) % 0.44/0.63 (step @p364 :rule eq-symm :args (@t135 @t129)) % 0.44/0.63 (step @p365 :rule cong :premises (@p364) :args (@t136)) % 0.44/0.63 (step @p366 :rule nary_cong :premises (@p365 @p346 @p247 @p223 @p363 @p362) :args (@t137)) % 0.44/0.63 (step @p367 :rule cong :premises (@p366) :args (@t138)) % 0.44/0.63 (step @p368 :rule trans :premises (@p367 @p361)) % 0.44/0.63 (step @p369 :rule eq_resolve :premises (@p170 @p368)) % 0.44/0.63 (step @p370 :rule instantiate :premises (@p369) :args ((@list tptp.sk4 tptp.sk4 tptp.nil))) % 0.44/0.63 (step @p371 :rule instantiate :premises (@p258) :args ((@list tptp.sk1))) % 0.44/0.63 (step @p372 :rule cnf_or_pos :args (@t223)) % 0.44/0.63 (step @p373 :rule reordering :premises (@p372) :args ((or @t222 @t221 (not @t223)))) % 0.44/0.63 (step @p374 :rule chain_m_resolution :premises (@p373 @p183 @p371) :args (@t221 @t187 (@list @t151 @t223))) % 0.44/0.63 (step @p375 :rule symm :premises (@p374)) % 0.44/0.63 (step @p376 :rule refl :args (tptp.nil)) % 0.44/0.63 (step @p377 :rule symm :premises (@p189)) % 0.44/0.63 (step @p378 :rule trans :premises (@p187 @p377)) % 0.44/0.63 (step @p379 :rule cong :premises (@p378 @p376) :args (@t224)) % 0.44/0.63 (step @p380 :rule trans :premises (@p379 @p375 @p189)) % 0.44/0.63 (step @p381 :rule cong :premises (@p380) :args (@t225)) % 0.44/0.63 (step @p382 :rule trans :premises (@p381 @p293)) % 0.44/0.63 (step @p383 :rule true_elim :premises (@p382)) % 0.44/0.63 (step @p384 :rule cnf_or_pos :args (@t228)) % 0.44/0.63 (step @p385 :rule factoring :premises (@p384)) % 0.44/0.63 (step @p386 :rule reordering :premises (@p385) :args ((or @t163 @t203 @t227 @t226 (not @t228)))) % 0.44/0.63 (step @p387 :rule chain_m_resolution :premises (@p386 @p8 @p186 @p383 @p370) :args (@t226 @t229 (@list @t1 @t153 @t225 @t228))) % 0.44/0.63 (step @p388 :rule true_intro :premises (@p387)) % 0.44/0.63 (step @p312 :rule trans :premises (@p189 @p254)) % 0.44/0.63 (step @p389 :rule cong :premises (@p312 @p376) :args (@t220)) % 0.44/0.63 (step @p390 :rule trans :premises (@p374 @p389)) % 0.44/0.63 (step @p391 :rule cong :premises (@p390 @p188) :args (@t230)) % 0.44/0.63 (step @p392 :rule trans :premises (@p391 @p388)) % 0.44/0.63 (step @p393 :rule true_elim :premises (@p392)) % 0.44/0.63 (step @p394 :rule instantiate :premises (@p57) :args (@t182)) % 0.44/0.63 (step @p395 :rule cnf_or_pos :args (@t232)) % 0.44/0.63 (step @p396 :rule reordering :premises (@p395) :args ((or @t185 @t231 (not @t232)))) % 0.44/0.63 (step @p397 :rule chain_m_resolution :premises (@p396 @p184 @p394) :args (@t231 @t187 (@list @t152 @t232))) % 0.44/0.63 (step @p398 :rule cnf_or_pos :args (@t237)) % 0.44/0.63 (step @p399 :rule reordering :premises (@p398) :args ((or @t185 @t236 @t234 @t233 (not @t237)))) % 0.44/0.63 (step @p400 :rule chain_m_resolution :premises (@p399 @p184 @p397 @p393 @p342) :args (@t236 @t229 (@list @t152 @t231 @t230 @t237))) % 0.44/0.63 (step @p401 :rule cnf_or_pos :args (@t238)) % 0.44/0.63 (step @p402 :rule reordering :premises (@p401) :args ((or @t160 @t163 @t185 @t235 (not @t238)))) % 0.44/0.63 (step @p403 :rule chain_m_resolution :premises (@p402 @p8 @p184 @p400 @p341) :args (@t160 (@list false false true false) (@list @t1 @t152 @t235 @t238))) % 0.44/0.63 (step @p404 :rule refl :args (@t239)) % 0.44/0.63 (step @p405 :rule refl :args (@t209)) % 0.44/0.63 (step @p406 :rule refl :args (@t240)) % 0.44/0.63 (step @p407 :rule bool-double-not-elim :args (@t158)) % 0.44/0.63 (step @p408 :rule refl :args (@t161)) % 0.44/0.63 (step @p409 :rule refl :args (@t207)) % 0.44/0.63 (step @p410 :rule refl :args (@t208)) % 0.44/0.63 (step @p411 :rule nary_cong :premises (@p410 @p409 @p408 @p407 @p406 @p405 @p404) :args ((or @t208 @t207 @t161 (not @t159) @t240 @t209 @t239))) % 0.44/0.63 (assume-push @p488 @t162) % 0.44/0.63 (assume-push @p489 @t160) % 0.44/0.63 (assume-push @p490 @t155) % 0.44/0.63 (assume-push @p491 @t241) % 0.44/0.63 (assume-push @p492 @t205) % 0.44/0.63 (assume-push @p493 @t156) % 0.44/0.63 (assume-push @p494 @t159) % 0.44/0.63 (step @p419 :rule evaluate :args ((= false true))) % 0.44/0.63 (step @p420 :rule symm :premises (@p403)) % 0.44/0.63 (step @p421 :rule symm :premises (@p188)) % 0.44/0.63 (step @p422 :rule refl :args (tptp.sk4)) % 0.44/0.63 (step @p423 :rule cong :premises (@p422 @p188) :args (@t242)) % 0.44/0.63 (step @p424 :rule cong :premises (@p188 @p403) :args (@t183)) % 0.44/0.63 (step @p425 :rule chain_m_resolution :premises (@p261 @p184 @p259) :args (@t184 @t187 @t188)) % 0.44/0.63 (step @p426 :rule symm :premises (@p188)) % 0.44/0.63 (step @p427 :rule trans :premises (@p426 @p425 @p424 @p423)) % 0.44/0.63 (step @p428 :rule symm :premises (@p427)) % 0.44/0.63 (step @p429 :rule trans :premises (@p189 @p254 @p428 @p421 @p420 @p253)) % 0.44/0.63 (step @p430 :rule symm :premises (@p429)) % 0.44/0.63 (step @p431 :rule trans :premises (@p253 @p430)) % 0.44/0.63 (step @p432 :rule true_intro :premises (@p431)) % 0.44/0.63 (step @p433 :rule false_intro :premises (@p494)) % 0.44/0.63 (step @p434 :rule symm :premises (@p433)) % 0.44/0.63 (step @p435 :rule trans :premises (@p434 @p432)) % 0.44/0.63 (step @p436 false :rule eq_resolve :premises (@p435 @p419)) % 0.44/0.63 (step-pop @p495 :rule scope :premises (@p436)) % 0.44/0.63 (step-pop @p496 :rule scope :premises (@p495)) % 0.44/0.63 (step-pop @p497 :rule scope :premises (@p496)) % 0.44/0.63 (step-pop @p498 :rule scope :premises (@p497)) % 0.44/0.63 (step-pop @p499 :rule scope :premises (@p498)) % 0.44/0.63 (step-pop @p500 :rule scope :premises (@p499)) % 0.44/0.63 (step-pop @p501 :rule scope :premises (@p500)) % 0.44/0.63 (step @p437 :rule process_scope :premises (@p501) :args (false)) % 0.44/0.63 (assume-push @p502 @t155) % 0.44/0.63 (assume-push @p503 @t156) % 0.44/0.63 (assume-push @p504 @t160) % 0.44/0.63 (assume-push @p505 @t159) % 0.44/0.63 (assume-push @p506 @t162) % 0.44/0.63 (assume-push @p507 @t205) % 0.44/0.63 (assume-push @p508 @t184) % 0.44/0.63 (step @p422 :rule refl :args (tptp.sk4)) % 0.44/0.63 (step @p423 :rule cong :premises (@p422 @p188) :args (@t242)) % 0.44/0.63 (step @p424 :rule cong :premises (@p188 @p403) :args (@t183)) % 0.44/0.63 (step @p421 :rule symm :premises (@p188)) % 0.44/0.63 (step @p452 :rule trans :premises (@p421 @p262 @p424 @p423)) % 0.44/0.63 (step @p453 :rule and_intro :premises (@p253 @p403 @p188 @p452 @p254 @p189 @p505)) % 0.44/0.63 (step-pop @p509 :rule scope :premises (@p453)) % 0.44/0.63 (step-pop @p510 :rule scope :premises (@p509)) % 0.44/0.63 (step-pop @p511 :rule scope :premises (@p510)) % 0.44/0.63 (step-pop @p512 :rule scope :premises (@p511)) % 0.44/0.63 (step-pop @p513 :rule scope :premises (@p512)) % 0.44/0.63 (step-pop @p514 :rule scope :premises (@p513)) % 0.44/0.63 (step-pop @p515 :rule scope :premises (@p514)) % 0.44/0.63 (step @p454 :rule process_scope :premises (@p515) :args (@t243)) % 0.44/0.63 (step @p462 :rule implies_elim :premises (@p454)) % 0.44/0.63 (step @p463 :rule resolution :premises (@p462 @p437) :args (true @t243)) % 0.44/0.63 (step @p464 :rule not_and :premises (@p463)) % 0.44/0.63 (step @p465 :rule eq_resolve :premises (@p464 @p411)) % 0.44/0.63 (step @p466 :rule reordering :premises (@p465) :args ((or @t161 @t158 @t240 @t209 @t208 @t207 @t239))) % 0.44/0.63 (step @p467 false :rule chain_m_resolution :premises (@p466 @p403 @p335 @p262 @p189 @p188 @p254 @p253) :args (false (@list false true false false false false false) (@list @t160 @t158 @t184 @t156 @t155 @t205 @t162))) % 0.44/0.63 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------