%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC027-1 : 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 08:57:45 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.42s % Output : Proof 0.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC027-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 14:10:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.42 % SZS status Unsatisfiable % 0.15/0.42 % SZS output start Proof % 0.24/0.43 ( % 0.24/0.43 (declare-sort $$unsorted 0) % 0.24/0.43 (declare-const tptp.sk5 $$unsorted) % 0.24/0.43 (declare-const tptp.sk4 $$unsorted) % 0.24/0.43 (declare-const tptp.sk2 $$unsorted) % 0.24/0.43 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.nil $$unsorted) % 0.24/0.43 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.sk1 $$unsorted) % 0.24/0.43 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skac2 $$unsorted) % 0.24/0.43 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.sk3 $$unsorted) % 0.24/0.43 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skac3 $$unsorted) % 0.24/0.43 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.43 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.24/0.43 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.24/0.43 (define @t1 () (tptp.singletonP tptp.nil)) % 0.24/0.43 (define @t2 () (not @t1)) % 0.24/0.43 (define @t3 () (@var "U" $$unsorted)) % 0.24/0.43 (define @t4 () (tptp.skaf83 @t3)) % 0.24/0.43 (define @t5 () (@list @t3)) % 0.24/0.43 (define @t6 () (tptp.skaf82 @t3)) % 0.24/0.43 (define @t7 () (tptp.skaf81 @t3)) % 0.24/0.43 (define @t8 () (tptp.skaf80 @t3)) % 0.24/0.43 (define @t9 () (tptp.skaf79 @t3)) % 0.24/0.43 (define @t10 () (tptp.skaf78 @t3)) % 0.24/0.43 (define @t11 () (tptp.skaf77 @t3)) % 0.24/0.43 (define @t12 () (tptp.skaf76 @t3)) % 0.24/0.43 (define @t13 () (tptp.skaf75 @t3)) % 0.24/0.43 (define @t14 () (tptp.skaf74 @t3)) % 0.24/0.43 (define @t15 () (tptp.skaf73 @t3)) % 0.24/0.43 (define @t16 () (tptp.skaf72 @t3)) % 0.24/0.43 (define @t17 () (tptp.skaf71 @t3)) % 0.24/0.43 (define @t18 () (tptp.skaf70 @t3)) % 0.24/0.43 (define @t19 () (tptp.skaf69 @t3)) % 0.24/0.43 (define @t20 () (tptp.skaf68 @t3)) % 0.24/0.43 (define @t21 () (tptp.skaf67 @t3)) % 0.24/0.43 (define @t22 () (tptp.skaf66 @t3)) % 0.24/0.43 (define @t23 () (tptp.skaf65 @t3)) % 0.24/0.43 (define @t24 () (tptp.skaf64 @t3)) % 0.24/0.43 (define @t25 () (tptp.skaf63 @t3)) % 0.24/0.43 (define @t26 () (tptp.skaf62 @t3)) % 0.24/0.43 (define @t27 () (tptp.skaf61 @t3)) % 0.24/0.43 (define @t28 () (tptp.skaf60 @t3)) % 0.24/0.43 (define @t29 () (tptp.skaf59 @t3)) % 0.24/0.43 (define @t30 () (tptp.skaf58 @t3)) % 0.24/0.43 (define @t31 () (tptp.skaf57 @t3)) % 0.24/0.43 (define @t32 () (tptp.skaf56 @t3)) % 0.24/0.43 (define @t33 () (tptp.skaf55 @t3)) % 0.24/0.43 (define @t34 () (tptp.skaf54 @t3)) % 0.24/0.43 (define @t35 () (tptp.skaf53 @t3)) % 0.24/0.43 (define @t36 () (tptp.skaf52 @t3)) % 0.24/0.43 (define @t37 () (tptp.skaf51 @t3)) % 0.24/0.43 (define @t38 () (tptp.skaf50 @t3)) % 0.24/0.43 (define @t39 () (tptp.skaf49 @t3)) % 0.24/0.43 (define @t40 () (tptp.skaf44 @t3)) % 0.24/0.43 (define @t41 () (@var "V" $$unsorted)) % 0.24/0.43 (define @t42 () (@list @t3 @t41)) % 0.24/0.43 (define @t43 () (tptp.skaf47 @t3 @t41)) % 0.24/0.43 (define @t44 () (tptp.skaf46 @t3 @t41)) % 0.24/0.43 (define @t45 () (tptp.skaf45 @t3 @t41)) % 0.24/0.43 (define @t46 () (tptp.skaf42 @t3 @t41)) % 0.24/0.43 (define @t47 () (not (tptp.ssItem @t3))) % 0.24/0.43 (define @t48 () (not (tptp.ssList @t3))) % 0.24/0.43 (define @t49 () (tptp.cons @t3 tptp.nil)) % 0.24/0.43 (define @t50 () (tptp.ssItem @t41)) % 0.24/0.43 (define @t51 () (tptp.duplicatefreeP @t3)) % 0.24/0.43 (define @t52 () (= tptp.nil @t3)) % 0.24/0.43 (define @t53 () (tptp.tl @t3)) % 0.24/0.43 (define @t54 () (tptp.hd @t3)) % 0.24/0.43 (define @t55 () (tptp.segmentP tptp.nil @t3)) % 0.24/0.43 (define @t56 () (not @t52)) % 0.24/0.43 (define @t57 () (tptp.rearsegP tptp.nil @t3)) % 0.24/0.43 (define @t58 () (tptp.frontsegP tptp.nil @t3)) % 0.24/0.43 (define @t59 () (tptp.app @t41 @t3)) % 0.24/0.43 (define @t60 () (not (tptp.ssList @t41))) % 0.24/0.43 (define @t61 () (tptp.cons @t3 @t41)) % 0.24/0.43 (define @t62 () (tptp.cyclefreeP @t3)) % 0.24/0.43 (define @t63 () (tptp.equalelemsP @t3)) % 0.24/0.43 (define @t64 () (tptp.strictorderedP @t3)) % 0.24/0.43 (define @t65 () (tptp.totalorderedP @t3)) % 0.24/0.43 (define @t66 () (tptp.strictorderP @t3)) % 0.24/0.43 (define @t67 () (tptp.totalorderP @t3)) % 0.24/0.43 (define @t68 () (= @t41 @t3)) % 0.24/0.43 (define @t69 () (tptp.neq @t41 @t3)) % 0.24/0.43 (define @t70 () (not @t50)) % 0.24/0.43 (define @t71 () (tptp.leq @t3 @t41)) % 0.24/0.43 (define @t72 () (tptp.lt @t3 @t41)) % 0.24/0.43 (define @t73 () (not @t72)) % 0.24/0.43 (define @t74 () (tptp.lt @t41 @t3)) % 0.24/0.43 (define @t75 () (not (tptp.gt @t3 @t41))) % 0.24/0.43 (define @t76 () (tptp.gt @t41 @t3)) % 0.24/0.43 (define @t77 () (tptp.leq @t41 @t3)) % 0.24/0.43 (define @t78 () (not (tptp.geq @t3 @t41))) % 0.24/0.43 (define @t79 () (tptp.geq @t41 @t3)) % 0.24/0.43 (define @t80 () (not @t71)) % 0.24/0.43 (define @t81 () (= @t3 @t41)) % 0.24/0.43 (define @t82 () (not @t81)) % 0.24/0.43 (define @t83 () (tptp.cons @t41 @t3)) % 0.24/0.43 (define @t84 () (not (tptp.neq @t3 @t41))) % 0.24/0.43 (define @t85 () (tptp.singletonP @t41)) % 0.24/0.43 (define @t86 () (not (= @t49 @t41))) % 0.24/0.43 (define @t87 () (or @t86 @t47 @t60 @t85)) % 0.24/0.43 (define @t88 () (forall @t42 @t87)) % 0.24/0.43 (define @t89 () (tptp.app @t3 @t41)) % 0.24/0.43 (define @t90 () (= @t89 tptp.nil)) % 0.24/0.43 (define @t91 () (not @t90)) % 0.24/0.43 (define @t92 () (= tptp.nil @t41)) % 0.24/0.43 (define @t93 () (tptp.hd @t41)) % 0.24/0.43 (define @t94 () (tptp.strictorderedP @t41)) % 0.24/0.43 (define @t95 () (tptp.strictorderedP @t61)) % 0.24/0.43 (define @t96 () (not @t95)) % 0.24/0.43 (define @t97 () (tptp.totalorderedP @t41)) % 0.24/0.43 (define @t98 () (tptp.totalorderedP @t61)) % 0.24/0.43 (define @t99 () (not @t98)) % 0.24/0.43 (define @t100 () (not (tptp.segmentP @t3 @t41))) % 0.24/0.43 (define @t101 () (not (tptp.rearsegP @t3 @t41))) % 0.24/0.43 (define @t102 () (not (tptp.frontsegP @t3 @t41))) % 0.24/0.43 (define @t103 () (not @t77)) % 0.24/0.43 (define @t104 () (tptp.tl @t41)) % 0.24/0.43 (define @t105 () (tptp.lt @t3 @t93)) % 0.24/0.43 (define @t106 () (tptp.leq @t3 @t93)) % 0.24/0.43 (define @t107 () (@var "W" $$unsorted)) % 0.24/0.43 (define @t108 () (tptp.app @t107 @t3)) % 0.24/0.43 (define @t109 () (not (tptp.ssList @t107))) % 0.24/0.43 (define @t110 () (@list @t3 @t41 @t107)) % 0.24/0.43 (define @t111 () (tptp.app @t3 @t107)) % 0.24/0.43 (define @t112 () (tptp.cons @t41 @t107)) % 0.24/0.43 (define @t113 () (tptp.cons @t107 @t3)) % 0.24/0.43 (define @t114 () (not (tptp.ssItem @t107))) % 0.24/0.43 (define @t115 () (not (tptp.memberP @t3 @t41))) % 0.24/0.43 (define @t116 () (not (= @t89 @t107))) % 0.24/0.43 (define @t117 () (tptp.lt @t3 @t107)) % 0.24/0.43 (define @t118 () (not (tptp.lt @t41 @t107))) % 0.24/0.43 (define @t119 () (tptp.app @t107 @t41)) % 0.24/0.43 (define @t120 () (= @t41 @t107)) % 0.24/0.43 (define @t121 () (= @t3 @t107)) % 0.24/0.43 (define @t122 () (tptp.memberP @t41 @t107)) % 0.24/0.43 (define @t123 () (@var "X" $$unsorted)) % 0.24/0.43 (define @t124 () (not (tptp.ssList @t123))) % 0.24/0.43 (define @t125 () (tptp.cons @t107 @t123)) % 0.24/0.43 (define @t126 () (not (= @t61 @t125))) % 0.24/0.43 (define @t127 () (@list @t3 @t41 @t107 @t123)) % 0.24/0.43 (define @t128 () (not (tptp.frontsegP @t61 @t125))) % 0.24/0.43 (define @t129 () (tptp.app @t3 @t112)) % 0.24/0.43 (define @t130 () (not (tptp.ssItem @t123))) % 0.24/0.43 (define @t131 () (@var "Y" $$unsorted)) % 0.24/0.43 (define @t132 () (not (tptp.ssList @t131))) % 0.24/0.43 (define @t133 () (@list @t3 @t41 @t107 @t123 @t131)) % 0.24/0.43 (define @t134 () (tptp.lt @t41 @t123)) % 0.24/0.43 (define @t135 () (@var "Z" $$unsorted)) % 0.24/0.43 (define @t136 () (not (tptp.ssList @t135))) % 0.24/0.43 (define @t137 () (not (= (tptp.app @t129 (tptp.cons @t123 @t131)) @t135))) % 0.24/0.43 (define @t138 () (@list @t3 @t41 @t107 @t123 @t131 @t135)) % 0.24/0.43 (define @t139 () (tptp.leq @t41 @t123)) % 0.24/0.43 (define @t140 () (tptp.ssList tptp.sk1)) % 0.24/0.43 (define @t141 () (= tptp.sk2 tptp.sk4)) % 0.24/0.43 (define @t142 () (= tptp.sk1 tptp.sk3)) % 0.24/0.43 (define @t143 () (= tptp.nil tptp.sk4)) % 0.24/0.43 (define @t144 () (tptp.ssItem tptp.sk5)) % 0.24/0.43 (define @t145 () (= tptp.nil tptp.sk3)) % 0.24/0.43 (define @t146 () (tptp.cons tptp.sk5 tptp.nil)) % 0.24/0.43 (define @t147 () (= @t146 tptp.sk3)) % 0.24/0.43 (define @t148 () (or @t147 @t143)) % 0.24/0.43 (define @t149 () (tptp.memberP tptp.sk4 tptp.sk5)) % 0.24/0.43 (define @t150 () (@var "A" $$unsorted)) % 0.24/0.43 (define @t151 () (not (tptp.leq tptp.sk5 @t150))) % 0.24/0.43 (define @t152 () (not (tptp.memberP tptp.sk4 @t150))) % 0.24/0.43 (define @t153 () (= tptp.sk5 @t150)) % 0.24/0.43 (define @t154 () (not (tptp.ssItem @t150))) % 0.24/0.43 (define @t155 () (@list @t150)) % 0.24/0.43 (define @t156 () (= tptp.nil tptp.sk1)) % 0.24/0.43 (define @t157 () (= tptp.nil tptp.sk2)) % 0.24/0.43 (define @t158 () (not @t157)) % 0.24/0.43 (define @t159 () (not @t156)) % 0.24/0.43 (define @t160 () (and @t141 @t143)) % 0.24/0.43 (define @t161 () (not @t143)) % 0.24/0.43 (define @t162 () (not @t141)) % 0.24/0.43 (define @t163 () (not @t145)) % 0.24/0.43 (define @t164 () (not @t142)) % 0.24/0.43 (define @t165 () (and @t142 @t159)) % 0.24/0.43 (define @t166 () (@list tptp.sk5)) % 0.24/0.43 (define @t167 () (not @t144)) % 0.24/0.43 (define @t168 () (tptp.memberP tptp.nil tptp.sk5)) % 0.24/0.43 (define @t169 () (not @t168)) % 0.24/0.43 (define @t170 () (or @t169 @t167)) % 0.24/0.43 (define @t171 () (and @t143 @t149)) % 0.24/0.43 (define @t172 () (= tptp.sk3 @t146)) % 0.24/0.43 (define @t173 () (@list true)) % 0.24/0.43 (define @t174 () (@list @t143)) % 0.24/0.43 (define @t175 () (and @t141 @t161)) % 0.24/0.43 (define @t176 () (tptp.singletonP @t49)) % 0.24/0.43 (define @t177 () (not (tptp.ssList @t49))) % 0.24/0.43 (define @t178 () (not (= @t49 @t49))) % 0.24/0.43 (define @t179 () (or @t178 @t47 @t177 @t176)) % 0.24/0.43 (define @t180 () (not (= @t41 @t49))) % 0.24/0.43 (define @t181 () (or @t180 @t180 @t47 @t60 @t85)) % 0.24/0.43 (define @t182 () (@list @t41)) % 0.24/0.43 (define @t183 () (or @t180 @t47 @t60 @t85)) % 0.24/0.43 (define @t184 () (forall @t182 @t183)) % 0.24/0.43 (define @t185 () (forall @t5 @t184)) % 0.24/0.43 (define @t186 () (tptp.ssList @t146)) % 0.24/0.43 (define @t187 () (and @t140 @t142 @t172)) % 0.24/0.43 (define @t188 () (@list false false false)) % 0.24/0.43 (define @t189 () (tptp.singletonP @t146)) % 0.24/0.43 (define @t190 () (not @t186)) % 0.24/0.43 (define @t191 () (or @t167 @t190 @t189)) % 0.24/0.43 (define @t192 () (not @t189)) % 0.24/0.43 (define @t193 () (not @t172)) % 0.24/0.43 (define @t194 () (and @t2 @t142 @t156 @t172)) % 0.24/0.43 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.24/0.43 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.24/0.43 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.24/0.43 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.24/0.43 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.24/0.43 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.24/0.43 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.24/0.43 (assume @p8 (tptp.ssList tptp.nil)) % 0.24/0.43 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.24/0.43 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.24/0.43 (assume @p11 @t2) % 0.24/0.43 (assume @p12 (forall @t5 (tptp.ssItem @t4))) % 0.24/0.43 (assume @p13 (forall @t5 (tptp.ssList @t6))) % 0.24/0.43 (assume @p14 (forall @t5 (tptp.ssList @t7))) % 0.24/0.43 (assume @p15 (forall @t5 (tptp.ssList @t8))) % 0.24/0.43 (assume @p16 (forall @t5 (tptp.ssItem @t9))) % 0.24/0.43 (assume @p17 (forall @t5 (tptp.ssItem @t10))) % 0.24/0.43 (assume @p18 (forall @t5 (tptp.ssList @t11))) % 0.24/0.43 (assume @p19 (forall @t5 (tptp.ssList @t12))) % 0.24/0.43 (assume @p20 (forall @t5 (tptp.ssList @t13))) % 0.24/0.43 (assume @p21 (forall @t5 (tptp.ssItem @t14))) % 0.24/0.43 (assume @p22 (forall @t5 (tptp.ssList @t15))) % 0.24/0.43 (assume @p23 (forall @t5 (tptp.ssList @t16))) % 0.24/0.43 (assume @p24 (forall @t5 (tptp.ssList @t17))) % 0.24/0.43 (assume @p25 (forall @t5 (tptp.ssItem @t18))) % 0.24/0.43 (assume @p26 (forall @t5 (tptp.ssItem @t19))) % 0.24/0.43 (assume @p27 (forall @t5 (tptp.ssList @t20))) % 0.24/0.43 (assume @p28 (forall @t5 (tptp.ssList @t21))) % 0.24/0.43 (assume @p29 (forall @t5 (tptp.ssList @t22))) % 0.24/0.43 (assume @p30 (forall @t5 (tptp.ssItem @t23))) % 0.24/0.43 (assume @p31 (forall @t5 (tptp.ssItem @t24))) % 0.24/0.43 (assume @p32 (forall @t5 (tptp.ssList @t25))) % 0.24/0.43 (assume @p33 (forall @t5 (tptp.ssList @t26))) % 0.24/0.43 (assume @p34 (forall @t5 (tptp.ssList @t27))) % 0.24/0.43 (assume @p35 (forall @t5 (tptp.ssItem @t28))) % 0.24/0.43 (assume @p36 (forall @t5 (tptp.ssItem @t29))) % 0.24/0.43 (assume @p37 (forall @t5 (tptp.ssList @t30))) % 0.24/0.43 (assume @p38 (forall @t5 (tptp.ssList @t31))) % 0.24/0.43 (assume @p39 (forall @t5 (tptp.ssList @t32))) % 0.24/0.43 (assume @p40 (forall @t5 (tptp.ssItem @t33))) % 0.24/0.43 (assume @p41 (forall @t5 (tptp.ssItem @t34))) % 0.24/0.43 (assume @p42 (forall @t5 (tptp.ssList @t35))) % 0.24/0.43 (assume @p43 (forall @t5 (tptp.ssList @t36))) % 0.24/0.43 (assume @p44 (forall @t5 (tptp.ssList @t37))) % 0.24/0.43 (assume @p45 (forall @t5 (tptp.ssItem @t38))) % 0.24/0.43 (assume @p46 (forall @t5 (tptp.ssItem @t39))) % 0.24/0.43 (assume @p47 (forall @t5 (tptp.ssItem @t40))) % 0.24/0.43 (assume @p48 (forall @t42 (tptp.ssList (tptp.skaf48 @t3 @t41)))) % 0.24/0.43 (assume @p49 (forall @t42 (tptp.ssList @t43))) % 0.24/0.43 (assume @p50 (forall @t42 (tptp.ssList @t44))) % 0.24/0.43 (assume @p51 (forall @t42 (tptp.ssList @t45))) % 0.24/0.43 (assume @p52 (forall @t42 (tptp.ssList (tptp.skaf43 @t3 @t41)))) % 0.24/0.43 (assume @p53 (forall @t42 (tptp.ssList @t46))) % 0.24/0.43 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.24/0.43 (assume @p55 (forall @t5 (or @t47 (tptp.geq @t3 @t3)))) % 0.24/0.43 (assume @p56 (forall @t5 (or @t48 (tptp.segmentP @t3 tptp.nil)))) % 0.24/0.43 (assume @p57 (forall @t5 (or @t48 (tptp.segmentP @t3 @t3)))) % 0.24/0.43 (assume @p58 (forall @t5 (or @t48 (tptp.rearsegP @t3 tptp.nil)))) % 0.24/0.43 (assume @p59 (forall @t5 (or @t48 (tptp.rearsegP @t3 @t3)))) % 0.24/0.43 (assume @p60 (forall @t5 (or @t48 (tptp.frontsegP @t3 tptp.nil)))) % 0.24/0.43 (assume @p61 (forall @t5 (or @t48 (tptp.frontsegP @t3 @t3)))) % 0.24/0.43 (assume @p62 (forall @t5 (or @t47 (tptp.leq @t3 @t3)))) % 0.24/0.43 (assume @p63 (forall @t5 (or (not (tptp.lt @t3 @t3)) @t47))) % 0.24/0.43 (assume @p64 (forall @t5 (or @t47 (tptp.equalelemsP @t49)))) % 0.24/0.43 (assume @p65 (forall @t5 (or @t47 (tptp.duplicatefreeP @t49)))) % 0.24/0.43 (assume @p66 (forall @t5 (or @t47 (tptp.strictorderedP @t49)))) % 0.24/0.43 (assume @p67 (forall @t5 (or @t47 (tptp.totalorderedP @t49)))) % 0.24/0.43 (assume @p68 (forall @t5 (or @t47 (tptp.strictorderP @t49)))) % 0.24/0.43 (assume @p69 (forall @t5 (or @t47 (tptp.totalorderP @t49)))) % 0.24/0.43 (assume @p70 (forall @t5 (or @t47 (tptp.cyclefreeP @t49)))) % 0.24/0.43 (assume @p71 (forall @t5 (or (not (tptp.memberP tptp.nil @t3)) @t47))) % 0.24/0.43 (assume @p72 (forall @t42 (or @t48 @t51 @t50))) % 0.24/0.43 (assume @p73 (forall @t5 (or @t48 (= (tptp.app @t3 tptp.nil) @t3)))) % 0.24/0.43 (assume @p74 (forall @t5 (or @t48 (= (tptp.app tptp.nil @t3) @t3)))) % 0.24/0.43 (assume @p75 (forall @t5 (or @t48 (tptp.ssList @t53) @t52))) % 0.24/0.43 (assume @p76 (forall @t5 (or @t48 (tptp.ssItem @t54) @t52))) % 0.24/0.43 (assume @p77 (forall @t5 (or @t56 @t48 @t55))) % 0.24/0.43 (assume @p78 (forall @t5 (or (not @t55) @t48 @t52))) % 0.24/0.43 (assume @p79 (forall @t5 (or @t56 @t48 @t57))) % 0.24/0.43 (assume @p80 (forall @t5 (or (not @t57) @t48 @t52))) % 0.24/0.43 (assume @p81 (forall @t5 (or @t56 @t48 @t58))) % 0.24/0.43 (assume @p82 (forall @t5 (or (not @t58) @t48 @t52))) % 0.24/0.43 (assume @p83 (forall @t42 (or @t48 @t60 (tptp.ssList @t59)))) % 0.24/0.43 (assume @p84 (forall @t42 (or @t47 @t60 (tptp.ssList @t61)))) % 0.24/0.43 (assume @p85 (forall @t5 (or @t48 @t62 (tptp.leq @t38 @t39)))) % 0.24/0.43 (assume @p86 (forall @t5 (or @t48 @t62 (tptp.leq @t39 @t38)))) % 0.24/0.43 (assume @p87 (forall @t5 (or (not (= @t9 @t10)) @t48 @t63))) % 0.24/0.43 (assume @p88 (forall @t5 (or (not (tptp.lt @t19 @t18)) @t48 @t64))) % 0.24/0.43 (assume @p89 (forall @t5 (or (not (tptp.leq @t24 @t23)) @t48 @t65))) % 0.24/0.43 (assume @p90 (forall @t5 (or (not (tptp.lt @t28 @t29)) @t48 @t66))) % 0.24/0.43 (assume @p91 (forall @t5 (or (not (tptp.lt @t29 @t28)) @t48 @t66))) % 0.24/0.43 (assume @p92 (forall @t5 (or (not (tptp.leq @t33 @t34)) @t48 @t67))) % 0.24/0.43 (assume @p93 (forall @t5 (or (not (tptp.leq @t34 @t33)) @t48 @t67))) % 0.24/0.43 (assume @p94 (forall @t42 (or @t47 @t60 (= (tptp.tl @t61) @t41)))) % 0.24/0.43 (assume @p95 (forall @t42 (or @t47 @t60 (= (tptp.hd @t61) @t3)))) % 0.24/0.43 (assume @p96 (forall @t42 (or (not (= @t61 tptp.nil)) @t47 @t60))) % 0.24/0.43 (assume @p97 (forall @t42 (or (not (= @t61 @t41)) @t47 @t60))) % 0.24/0.43 (assume @p98 (forall @t42 (or @t48 @t60 @t69 @t68))) % 0.24/0.43 (assume @p99 (forall @t5 (or (not (tptp.singletonP @t3)) @t48 (= (tptp.cons @t40 tptp.nil) @t3)))) % 0.24/0.43 (assume @p100 (forall @t42 (or @t47 @t70 @t69 @t68))) % 0.24/0.43 (assume @p101 (forall @t42 (or @t73 @t70 @t47 @t71))) % 0.24/0.43 (assume @p102 (forall @t5 (or @t48 (= (tptp.cons @t54 @t53) @t3) @t52))) % 0.24/0.43 (assume @p103 (forall @t42 (or @t75 @t70 @t47 @t74))) % 0.24/0.43 (assume @p104 (forall @t42 (or @t73 @t47 @t70 @t76))) % 0.24/0.43 (assume @p105 (forall @t42 (or @t78 @t70 @t47 @t77))) % 0.24/0.43 (assume @p106 (forall @t42 (or @t80 @t47 @t70 @t79))) % 0.24/0.43 (assume @p107 (forall @t5 (or @t48 (= (tptp.cons @t4 @t6) @t3) @t52))) % 0.24/0.43 (assume @p108 (forall @t42 (or @t75 (not @t76) @t47 @t70))) % 0.24/0.43 (assume @p109 (forall @t42 (or @t82 @t73 @t70 @t47))) % 0.24/0.43 (assume @p110 (forall @t42 (or @t56 @t48 @t70 (tptp.strictorderedP @t83)))) % 0.24/0.43 (assume @p111 (forall @t42 (or @t56 @t48 @t70 (tptp.totalorderedP @t83)))) % 0.24/0.43 (assume @p112 (forall @t42 (or @t73 (not @t74) @t47 @t70))) % 0.24/0.43 (assume @p113 (forall @t42 (or @t82 @t84 @t60 @t48))) % 0.24/0.43 (assume @p114 @t88) % 0.24/0.43 (assume @p115 (forall @t42 (or @t82 @t84 @t70 @t47))) % 0.24/0.43 (assume @p116 (forall @t42 (or @t91 @t60 @t48 @t52))) % 0.24/0.43 (assume @p117 (forall @t42 (or @t91 @t60 @t48 @t92))) % 0.24/0.43 (assume @p118 (forall @t42 (or @t47 @t60 (= (tptp.app @t49 @t41) @t61)))) % 0.24/0.43 (assume @p119 (forall @t42 (or @t80 @t70 @t47 @t72 @t81))) % 0.24/0.43 (assume @p120 (forall @t42 (or @t48 @t60 @t92 (= (tptp.hd @t59) @t93)))) % 0.24/0.43 (assume @p121 (forall @t42 (or @t96 @t60 @t47 @t94 @t92))) % 0.24/0.43 (assume @p122 (forall @t42 (or @t99 @t60 @t47 @t97 @t92))) % 0.24/0.43 (assume @p123 (forall @t42 (or @t78 (not @t79) @t47 @t70 @t68))) % 0.24/0.43 (assume @p124 (forall @t42 (or @t100 (not (tptp.segmentP @t41 @t3)) @t48 @t60 @t68))) % 0.24/0.43 (assume @p125 (forall @t42 (or @t101 (not (tptp.rearsegP @t41 @t3)) @t48 @t60 @t68))) % 0.24/0.43 (assume @p126 (forall @t42 (or @t102 (not (tptp.frontsegP @t41 @t3)) @t48 @t60 @t68))) % 0.24/0.43 (assume @p127 (forall @t42 (or @t80 @t103 @t47 @t70 @t68))) % 0.24/0.43 (assume @p128 (forall @t42 (or @t101 @t60 @t48 (= (tptp.app @t44 @t41) @t3)))) % 0.24/0.43 (assume @p129 (forall @t42 (or @t102 @t60 @t48 (= (tptp.app @t41 @t45) @t3)))) % 0.24/0.43 (assume @p130 (forall @t42 (or @t48 @t60 @t92 (= (tptp.tl @t59) (tptp.app @t104 @t3))))) % 0.24/0.43 (assume @p131 (forall @t42 (or @t96 @t60 @t47 @t105 @t92))) % 0.24/0.43 (assume @p132 (forall @t42 (or @t99 @t60 @t47 @t106 @t92))) % 0.24/0.43 (assume @p133 (forall @t110 (or @t101 @t109 @t60 @t48 (tptp.rearsegP @t108 @t41)))) % 0.24/0.43 (assume @p134 (forall @t110 (or @t102 @t109 @t60 @t48 (tptp.frontsegP @t111 @t41)))) % 0.24/0.43 (assume @p135 (forall @t110 (or @t82 @t109 @t70 @t47 (tptp.memberP @t112 @t3)))) % 0.24/0.43 (assume @p136 (forall @t110 (or @t115 @t48 @t114 @t70 (tptp.memberP @t113 @t41)))) % 0.24/0.43 (assume @p137 (forall @t110 (or @t115 @t109 @t48 @t70 (tptp.memberP @t111 @t41)))) % 0.24/0.43 (assume @p138 (forall @t110 (or @t115 @t48 @t109 @t70 (tptp.memberP @t108 @t41)))) % 0.24/0.43 (assume @p139 (forall @t5 (or @t48 @t63 (= (tptp.app @t8 (tptp.cons @t10 (tptp.cons @t9 @t7))) @t3)))) % 0.24/0.43 (assume @p140 (forall @t110 (or @t116 @t48 @t60 @t109 (tptp.rearsegP @t107 @t41)))) % 0.24/0.43 (assume @p141 (forall @t110 (or @t116 @t60 @t48 @t109 (tptp.frontsegP @t107 @t3)))) % 0.24/0.43 (assume @p142 (forall @t42 (or @t56 (not @t92) @t60 @t48 @t90))) % 0.24/0.43 (assume @p143 (forall @t110 (or @t75 (not (tptp.gt @t41 @t107)) @t114 @t70 @t47 (tptp.gt @t3 @t107)))) % 0.24/0.43 (assume @p144 (forall @t110 (or @t80 @t118 @t114 @t70 @t47 @t117))) % 0.24/0.43 (assume @p145 (forall @t110 (or @t78 (not (tptp.geq @t41 @t107)) @t114 @t70 @t47 (tptp.geq @t3 @t107)))) % 0.24/0.43 (assume @p146 (forall @t110 (or @t48 @t60 @t109 (= (tptp.app @t119 @t3) (tptp.app @t107 @t59))))) % 0.24/0.43 (assume @p147 (forall @t110 (or (not (= @t89 @t111)) @t60 @t48 @t109 @t120))) % 0.24/0.43 (assume @p148 (forall @t110 (or (not (= @t89 @t119)) @t48 @t60 @t109 @t121))) % 0.24/0.43 (assume @p149 (forall @t110 (or @t100 (not (tptp.segmentP @t41 @t107)) @t109 @t60 @t48 (tptp.segmentP @t3 @t107)))) % 0.24/0.43 (assume @p150 (forall @t110 (or @t101 (not (tptp.rearsegP @t41 @t107)) @t109 @t60 @t48 (tptp.rearsegP @t3 @t107)))) % 0.24/0.43 (assume @p151 (forall @t110 (or @t102 (not (tptp.frontsegP @t41 @t107)) @t109 @t60 @t48 (tptp.frontsegP @t3 @t107)))) % 0.24/0.43 (assume @p152 (forall @t110 (or @t73 @t118 @t114 @t70 @t47 @t117))) % 0.24/0.43 (assume @p153 (forall @t110 (or @t80 (not (tptp.leq @t41 @t107)) @t114 @t70 @t47 (tptp.leq @t3 @t107)))) % 0.24/0.43 (assume @p154 (forall @t110 (or @t47 @t60 @t109 (= (tptp.cons @t3 (tptp.app @t41 @t107)) (tptp.app @t61 @t107))))) % 0.24/0.43 (assume @p155 (forall @t110 (or (not (tptp.memberP @t89 @t107)) @t60 @t48 @t114 @t122 (tptp.memberP @t3 @t107)))) % 0.24/0.43 (assume @p156 (forall @t42 (or (not @t106) (not @t97) @t60 @t47 @t98 @t92))) % 0.24/0.43 (assume @p157 (forall @t42 (or (not @t105) (not @t94) @t60 @t47 @t95 @t92))) % 0.24/0.43 (assume @p158 (forall @t110 (or (not (tptp.memberP @t61 @t107)) @t60 @t47 @t114 @t122 (= @t107 @t3)))) % 0.24/0.43 (assume @p159 (forall @t5 (or @t48 @t51 (= (tptp.app (tptp.app @t13 (tptp.cons @t14 @t12)) (tptp.cons @t14 @t11)) @t3)))) % 0.24/0.43 (assume @p160 (forall @t5 (or @t48 @t64 (= (tptp.app (tptp.app @t17 (tptp.cons @t19 @t16)) (tptp.cons @t18 @t15)) @t3)))) % 0.24/0.43 (assume @p161 (forall @t5 (or @t48 @t65 (= (tptp.app (tptp.app @t22 (tptp.cons @t24 @t21)) (tptp.cons @t23 @t20)) @t3)))) % 0.24/0.43 (assume @p162 (forall @t5 (or @t48 @t66 (= (tptp.app (tptp.app @t27 (tptp.cons @t29 @t26)) (tptp.cons @t28 @t25)) @t3)))) % 0.24/0.43 (assume @p163 (forall @t5 (or @t48 @t67 (= (tptp.app (tptp.app @t32 (tptp.cons @t34 @t31)) (tptp.cons @t33 @t30)) @t3)))) % 0.24/0.43 (assume @p164 (forall @t5 (or @t48 @t62 (= (tptp.app (tptp.app @t37 (tptp.cons @t39 @t36)) (tptp.cons @t38 @t35)) @t3)))) % 0.24/0.43 (assume @p165 (forall @t42 (or @t100 @t60 @t48 (= (tptp.app (tptp.app @t43 @t41) (tptp.skaf48 @t41 @t3)) @t3)))) % 0.24/0.43 (assume @p166 (forall @t42 (or @t115 @t70 @t48 (= (tptp.app @t46 (tptp.cons @t41 (tptp.skaf43 @t41 @t3))) @t3)))) % 0.24/0.43 (assume @p167 (forall @t127 (or @t126 @t114 @t47 @t124 @t60 @t121))) % 0.24/0.43 (assume @p168 (forall @t127 (or @t126 @t114 @t47 @t124 @t60 (= @t123 @t41)))) % 0.24/0.43 (assume @p169 (forall @t127 (or @t100 @t109 @t124 @t60 @t48 (tptp.segmentP (tptp.app (tptp.app @t123 @t3) @t107) @t41)))) % 0.24/0.43 (assume @p170 (forall @t127 (or (not (= (tptp.app @t89 @t107) @t123)) @t109 @t48 @t60 @t124 (tptp.segmentP @t123 @t41)))) % 0.24/0.43 (assume @p171 (forall @t127 (or @t128 @t124 @t60 @t114 @t47 (tptp.frontsegP @t41 @t123)))) % 0.24/0.43 (assume @p172 (forall @t127 (or (not (= @t129 @t123)) @t109 @t48 @t70 @t124 (tptp.memberP @t123 @t41)))) % 0.24/0.43 (assume @p173 (forall @t127 (or @t128 @t124 @t60 @t114 @t47 @t121))) % 0.24/0.43 (assume @p174 (forall @t42 (or (not (= @t53 @t104)) (not (= @t54 @t93)) @t48 @t60 @t92 @t81 @t52))) % 0.24/0.43 (assume @p175 (forall @t127 (or @t102 (not (= @t107 @t123)) @t60 @t48 @t130 @t114 (tptp.frontsegP @t113 (tptp.cons @t123 @t41))))) % 0.24/0.43 (assume @p176 (forall @t133 (or (not (= (tptp.app @t129 (tptp.cons @t41 @t123)) @t131)) @t124 @t109 @t48 @t70 (not (tptp.duplicatefreeP @t131)) @t132))) % 0.24/0.43 (assume @p177 (forall @t133 (or (not (= (tptp.app @t3 (tptp.cons @t41 @t125)) @t131)) @t124 @t48 @t114 @t70 (not (tptp.equalelemsP @t131)) @t132 @t120))) % 0.24/0.43 (assume @p178 (forall @t138 (or @t137 @t132 @t109 @t48 @t130 @t70 (not (tptp.strictorderedP @t135)) @t136 @t134))) % 0.24/0.43 (assume @p179 (forall @t138 (or @t137 @t132 @t109 @t48 @t130 @t70 (not (tptp.totalorderedP @t135)) @t136 @t139))) % 0.24/0.43 (assume @p180 (forall @t138 (or @t137 @t132 @t109 @t48 @t130 @t70 (not (tptp.strictorderP @t135)) @t136 @t134 (tptp.lt @t123 @t41)))) % 0.24/0.43 (assume @p181 (forall @t138 (or @t137 @t132 @t109 @t48 @t130 @t70 (not (tptp.totalorderP @t135)) @t136 @t139 (tptp.leq @t123 @t41)))) % 0.24/0.43 (assume @p182 (forall @t138 (or @t80 @t103 (not (= (tptp.app (tptp.app @t107 (tptp.cons @t3 @t123)) (tptp.cons @t41 @t131)) @t135)) @t132 @t124 @t109 @t70 @t47 (not (tptp.cyclefreeP @t135)) @t136))) % 0.24/0.43 (assume @p183 @t140) % 0.24/0.43 (assume @p184 (tptp.ssList tptp.sk2)) % 0.24/0.43 (assume @p185 (tptp.ssList tptp.sk3)) % 0.24/0.43 (assume @p186 (tptp.ssList tptp.sk4)) % 0.24/0.43 (assume @p187 @t141) % 0.24/0.43 (assume @p188 @t142) % 0.24/0.43 (assume @p189 (or @t144 @t143)) % 0.24/0.43 (assume @p190 (or @t144 @t145)) % 0.24/0.43 (assume @p191 @t148) % 0.24/0.43 (assume @p192 (or @t149 @t143)) % 0.24/0.43 (assume @p193 (forall @t155 (or @t154 @t153 @t152 @t151 @t143))) % 0.24/0.43 (assume @p194 (or @t147 @t145)) % 0.24/0.43 (assume @p195 (or @t149 @t145)) % 0.24/0.43 (assume @p196 (forall @t155 (or @t154 @t153 @t152 @t151 @t145))) % 0.24/0.43 (assume @p197 (or @t157 @t156)) % 0.24/0.43 (assume @p198 (or @t157 @t158)) % 0.24/0.43 (assume @p199 (or @t159 @t156)) % 0.24/0.43 (assume @p200 (or @t159 @t158)) % 0.24/0.43 (assume-push @p403 @t141) % 0.24/0.43 (assume-push @p404 @t143) % 0.24/0.43 (assume-push @p405 @t141) % 0.24/0.43 (assume-push @p406 @t143) % 0.24/0.43 (step @p205 :rule symm :premises (@p187)) % 0.24/0.43 (step @p206 :rule trans :premises (@p404 @p205)) % 0.24/0.43 (step-pop @p407 :rule scope :premises (@p206)) % 0.24/0.43 (step-pop @p408 :rule scope :premises (@p407)) % 0.24/0.43 (step @p207 :rule process_scope :premises (@p408) :args (@t157)) % 0.24/0.43 (step @p210 :rule and_intro :premises (@p187 @p404)) % 0.24/0.43 (step @p211 :rule modus_ponens :premises (@p210 @p207)) % 0.24/0.43 (step-pop @p409 :rule scope :premises (@p211)) % 0.24/0.43 (step-pop @p410 :rule scope :premises (@p409)) % 0.24/0.43 (step @p212 :rule process_scope :premises (@p410) :args (@t157)) % 0.24/0.43 (step @p215 :rule implies_elim :premises (@p212)) % 0.24/0.43 (step @p216 :rule cnf_and_neg :args (@t160)) % 0.24/0.43 (step @p217 :rule resolution :premises (@p216 @p215) :args (true @t160)) % 0.24/0.43 (step @p218 :rule reordering :premises (@p217) :args ((or @t157 @t162 @t161))) % 0.24/0.43 (step @p219 :rule reordering :premises (@p200) :args ((or @t158 @t159))) % 0.24/0.43 (step @p220 :rule refl :args (@t163)) % 0.24/0.43 (step @p221 :rule bool-double-not-elim :args (@t156)) % 0.24/0.43 (step @p222 :rule refl :args (@t164)) % 0.24/0.43 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220) :args ((or @t164 (not @t159) @t163))) % 0.24/0.43 (assume-push @p411 @t142) % 0.24/0.43 (assume-push @p412 @t159) % 0.24/0.43 (assume-push @p413 @t159) % 0.24/0.43 (assume-push @p414 @t142) % 0.24/0.43 (step @p228 :rule false_intro :premises (@p412)) % 0.24/0.43 (step @p229 :rule symm :premises (@p188)) % 0.24/0.43 (step @p230 :rule refl :args (tptp.nil)) % 0.24/0.43 (step @p231 :rule cong :premises (@p230 @p229) :args (@t145)) % 0.24/0.43 (step @p232 :rule trans :premises (@p231 @p228)) % 0.24/0.43 (step @p233 :rule false_elim :premises (@p232)) % 0.24/0.43 (step-pop @p415 :rule scope :premises (@p233)) % 0.24/0.43 (step-pop @p416 :rule scope :premises (@p415)) % 0.24/0.43 (step @p234 :rule process_scope :premises (@p416) :args (@t163)) % 0.24/0.43 (step @p237 :rule and_intro :premises (@p412 @p188)) % 0.24/0.43 (step @p238 :rule modus_ponens :premises (@p237 @p234)) % 0.24/0.43 (step-pop @p417 :rule scope :premises (@p238)) % 0.24/0.43 (step-pop @p418 :rule scope :premises (@p417)) % 0.24/0.43 (step @p239 :rule process_scope :premises (@p418) :args (@t163)) % 0.24/0.43 (step @p242 :rule implies_elim :premises (@p239)) % 0.24/0.43 (step @p243 :rule cnf_and_neg :args (@t165)) % 0.24/0.43 (step @p244 :rule resolution :premises (@p243 @p242) :args (true @t165)) % 0.24/0.43 (step @p245 :rule eq_resolve :premises (@p244 @p223)) % 0.24/0.43 (step @p246 :rule reordering :premises (@p245) :args ((or @t156 @t164 @t163))) % 0.24/0.43 (step @p247 :rule reordering :premises (@p195) :args ((or @t145 @t149))) % 0.24/0.43 (step @p248 :rule instantiate :premises (@p71) :args (@t166)) % 0.24/0.43 (step @p249 :rule cnf_or_pos :args (@t170)) % 0.24/0.43 (step @p250 :rule reordering :premises (@p249) :args ((or @t167 @t169 (not @t170)))) % 0.24/0.43 (assume-push @p419 @t143) % 0.24/0.43 (assume-push @p420 @t149) % 0.24/0.43 (assume-push @p421 @t149) % 0.24/0.43 (assume-push @p422 @t143) % 0.24/0.43 (step @p255 :rule true_intro :premises (@p420)) % 0.24/0.43 (step @p256 :rule refl :args (tptp.sk5)) % 0.24/0.43 (step @p257 :rule cong :premises (@p419 @p256) :args (@t168)) % 0.24/0.43 (step @p258 :rule trans :premises (@p257 @p255)) % 0.24/0.43 (step @p259 :rule true_elim :premises (@p258)) % 0.24/0.43 (step-pop @p423 :rule scope :premises (@p259)) % 0.24/0.43 (step-pop @p424 :rule scope :premises (@p423)) % 0.24/0.43 (step @p260 :rule process_scope :premises (@p424) :args (@t168)) % 0.24/0.43 (step @p263 :rule and_intro :premises (@p420 @p419)) % 0.24/0.43 (step @p264 :rule modus_ponens :premises (@p263 @p260)) % 0.24/0.43 (step-pop @p425 :rule scope :premises (@p264)) % 0.24/0.43 (step-pop @p426 :rule scope :premises (@p425)) % 0.24/0.43 (step @p265 :rule process_scope :premises (@p426) :args (@t168)) % 0.24/0.43 (step @p268 :rule implies_elim :premises (@p265)) % 0.24/0.43 (step @p269 :rule cnf_and_neg :args (@t171)) % 0.24/0.43 (step @p270 :rule resolution :premises (@p269 @p268) :args (true @t171)) % 0.24/0.43 (step @p271 :rule chain_m_resolution :premises (@p270 @p250 @p248 @p247 @p190 @p246 @p188 @p219 @p218 @p187) :args (@t161 (@list true false false false true false true false false) (@list @t168 @t170 @t149 @t144 @t145 @t142 @t156 @t157 @t141))) % 0.24/0.43 (step @p272 :rule refl :args (@t143)) % 0.24/0.43 (step @p273 :rule eq-symm :args (@t146 tptp.sk3)) % 0.24/0.43 (step @p274 :rule nary_cong :premises (@p273 @p272) :args (@t148)) % 0.24/0.43 (step @p275 :rule eq_resolve :premises (@p191 @p274)) % 0.24/0.43 (step @p276 :rule reordering :premises (@p275) :args ((or @t143 @t172))) % 0.24/0.43 (step @p277 :rule chain_m_resolution :premises (@p276 @p271) :args (@t172 @t173 @t174)) % 0.24/0.43 (step @p278 :rule refl :args (@t158)) % 0.24/0.43 (step @p279 :rule bool-double-not-elim :args (@t143)) % 0.24/0.43 (step @p280 :rule refl :args (@t162)) % 0.24/0.43 (step @p281 :rule nary_cong :premises (@p280 @p279 @p278) :args ((or @t162 (not @t161) @t158))) % 0.24/0.43 (assume-push @p427 @t141) % 0.24/0.43 (assume-push @p428 @t161) % 0.24/0.43 (assume-push @p429 @t161) % 0.24/0.43 (assume-push @p430 @t141) % 0.24/0.43 (step @p286 :rule false_intro :premises (@p428)) % 0.24/0.43 (step @p230 :rule refl :args (tptp.nil)) % 0.24/0.43 (step @p287 :rule cong :premises (@p230 @p187) :args (@t157)) % 0.24/0.43 (step @p288 :rule trans :premises (@p287 @p286)) % 0.24/0.43 (step @p289 :rule false_elim :premises (@p288)) % 0.24/0.43 (step-pop @p431 :rule scope :premises (@p289)) % 0.24/0.43 (step-pop @p432 :rule scope :premises (@p431)) % 0.24/0.43 (step @p290 :rule process_scope :premises (@p432) :args (@t158)) % 0.24/0.43 (step @p293 :rule and_intro :premises (@p428 @p187)) % 0.24/0.43 (step @p294 :rule modus_ponens :premises (@p293 @p290)) % 0.24/0.43 (step-pop @p433 :rule scope :premises (@p294)) % 0.24/0.43 (step-pop @p434 :rule scope :premises (@p433)) % 0.24/0.43 (step @p295 :rule process_scope :premises (@p434) :args (@t158)) % 0.24/0.43 (step @p298 :rule implies_elim :premises (@p295)) % 0.24/0.43 (step @p299 :rule cnf_and_neg :args (@t175)) % 0.24/0.43 (step @p300 :rule resolution :premises (@p299 @p298) :args (true @t175)) % 0.24/0.43 (step @p301 :rule eq_resolve :premises (@p300 @p281)) % 0.24/0.43 (step @p302 :rule reordering :premises (@p301) :args ((or @t143 @t158 @t162))) % 0.24/0.43 (step @p303 :rule chain_m_resolution :premises (@p302 @p271 @p187) :args (@t158 (@list true false) (@list @t143 @t141))) % 0.24/0.43 (step @p304 :rule chain_m_resolution :premises (@p197 @p303) :args (@t156 @t173 (@list @t157))) % 0.24/0.43 (step @p305 :rule aci_norm :args ((= (or false @t47 @t177 @t176) (or @t47 @t177 @t176)))) % 0.24/0.43 (step @p306 :rule refl :args (@t176)) % 0.24/0.43 (step @p307 :rule refl :args (@t177)) % 0.24/0.43 (step @p308 :rule refl :args (@t47)) % 0.24/0.43 (step @p309 :rule evaluate :args ((not true))) % 0.24/0.43 (step @p310 :rule eq-refl :args (@t49)) % 0.24/0.43 (step @p311 :rule cong :premises (@p310) :args (@t178)) % 0.24/0.43 (step @p312 :rule trans :premises (@p311 @p309)) % 0.24/0.43 (step @p313 :rule nary_cong :premises (@p312 @p308 @p307 @p306) :args (@t179)) % 0.24/0.43 (step @p314 :rule trans :premises (@p313 @p305)) % 0.24/0.43 (step @p315 :rule cong :premises (@p314) :args ((forall @t5 @t179))) % 0.24/0.43 (step @p316 :rule quant-var-elim-eq :args ((= (forall @t182 @t181) @t179))) % 0.24/0.43 (step @p317 :rule aci_norm :args ((= @t183 @t181))) % 0.24/0.43 (step @p318 :rule cong :premises (@p317) :args (@t184)) % 0.24/0.43 (step @p319 :rule trans :premises (@p318 @p316)) % 0.24/0.43 (step @p320 :rule cong :premises (@p319) :args (@t185)) % 0.24/0.43 (step @p321 :rule quant-merge-prenex :args ((= @t185 (forall @t42 @t183)))) % 0.24/0.43 (step @p322 :rule symm :premises (@p321)) % 0.24/0.43 (step @p323 :rule trans :premises (@p322 @p320)) % 0.24/0.43 (step @p324 :rule trans :premises (@p323 @p315)) % 0.24/0.43 (step @p325 :rule refl :args (@t85)) % 0.24/0.43 (step @p326 :rule refl :args (@t60)) % 0.24/0.43 (step @p327 :rule eq-symm :args (@t49 @t41)) % 0.24/0.43 (step @p328 :rule cong :premises (@p327) :args (@t86)) % 0.24/0.43 (step @p329 :rule nary_cong :premises (@p328 @p308 @p326 @p325) :args (@t87)) % 0.24/0.43 (step @p330 :rule cong :premises (@p329) :args (@t88)) % 0.24/0.43 (step @p331 :rule trans :premises (@p330 @p324)) % 0.24/0.43 (step @p332 :rule eq_resolve :premises (@p114 @p331)) % 0.24/0.43 (step @p333 :rule instantiate :premises (@p332) :args (@t166)) % 0.24/0.43 (assume-push @p435 @t140) % 0.24/0.43 (assume-push @p436 @t142) % 0.24/0.43 (assume-push @p437 @t172) % 0.24/0.43 (assume-push @p438 @t140) % 0.24/0.43 (assume-push @p439 @t142) % 0.24/0.43 (assume-push @p440 @t172) % 0.24/0.43 (step @p340 :rule true_intro :premises (@p183)) % 0.24/0.43 (step @p229 :rule symm :premises (@p188)) % 0.24/0.43 (step @p341 :rule symm :premises (@p437)) % 0.24/0.43 (step @p342 :rule trans :premises (@p341 @p229)) % 0.24/0.43 (step @p343 :rule cong :premises (@p342) :args (@t186)) % 0.24/0.43 (step @p344 :rule trans :premises (@p343 @p340)) % 0.24/0.43 (step @p345 :rule true_elim :premises (@p344)) % 0.24/0.43 (step-pop @p441 :rule scope :premises (@p345)) % 0.24/0.43 (step-pop @p442 :rule scope :premises (@p441)) % 0.24/0.43 (step-pop @p443 :rule scope :premises (@p442)) % 0.24/0.43 (step @p346 :rule process_scope :premises (@p443) :args (@t186)) % 0.24/0.43 (step @p350 :rule and_intro :premises (@p183 @p188 @p437)) % 0.24/0.43 (step @p351 :rule modus_ponens :premises (@p350 @p346)) % 0.24/0.43 (step-pop @p444 :rule scope :premises (@p351)) % 0.24/0.43 (step-pop @p445 :rule scope :premises (@p444)) % 0.24/0.43 (step-pop @p446 :rule scope :premises (@p445)) % 0.24/0.43 (step @p352 :rule process_scope :premises (@p446) :args (@t186)) % 0.24/0.43 (step @p356 :rule implies_elim :premises (@p352)) % 0.24/0.43 (step @p357 :rule cnf_and_neg :args (@t187)) % 0.24/0.43 (step @p358 :rule resolution :premises (@p357 @p356) :args (true @t187)) % 0.24/0.43 (step @p359 :rule chain_m_resolution :premises (@p358 @p183 @p188 @p277) :args (@t186 @t188 (@list @t140 @t142 @t172))) % 0.24/0.43 (step @p360 :rule chain_m_resolution :premises (@p189 @p271) :args (@t144 @t173 @t174)) % 0.24/0.43 (step @p361 :rule cnf_or_pos :args (@t191)) % 0.24/0.43 (step @p362 :rule reordering :premises (@p361) :args ((or @t167 @t190 @t189 (not @t191)))) % 0.24/0.43 (step @p363 :rule chain_m_resolution :premises (@p362 @p360 @p359 @p333) :args (@t189 @t188 (@list @t144 @t186 @t191))) % 0.24/0.43 (step @p364 :rule refl :args (@t192)) % 0.24/0.43 (step @p365 :rule refl :args (@t193)) % 0.24/0.43 (step @p366 :rule refl :args (@t159)) % 0.24/0.43 (step @p367 :rule bool-double-not-elim :args (@t1)) % 0.24/0.43 (step @p368 :rule nary_cong :premises (@p367 @p222 @p366 @p365 @p364) :args ((or (not @t2) @t164 @t159 @t193 @t192))) % 0.24/0.43 (assume-push @p447 @t2) % 0.24/0.43 (assume-push @p448 @t142) % 0.24/0.43 (assume-push @p449 @t156) % 0.24/0.43 (assume-push @p450 @t172) % 0.24/0.43 (assume-push @p451 @t2) % 0.24/0.43 (assume-push @p452 @t156) % 0.24/0.43 (assume-push @p453 @t142) % 0.24/0.43 (assume-push @p454 @t172) % 0.24/0.43 (step @p377 :rule false_intro :premises (@p11)) % 0.24/0.43 (step @p378 :rule symm :premises (@p449)) % 0.24/0.43 (step @p379 :rule cong :premises (@p378) :args ((tptp.singletonP tptp.sk1))) % 0.24/0.43 (step @p229 :rule symm :premises (@p188)) % 0.24/0.43 (step @p380 :rule symm :premises (@p450)) % 0.24/0.43 (step @p381 :rule trans :premises (@p380 @p229)) % 0.24/0.43 (step @p382 :rule cong :premises (@p381) :args (@t189)) % 0.24/0.43 (step @p383 :rule trans :premises (@p382 @p379 @p377)) % 0.24/0.43 (step @p384 :rule false_elim :premises (@p383)) % 0.24/0.43 (step-pop @p455 :rule scope :premises (@p384)) % 0.24/0.43 (step-pop @p456 :rule scope :premises (@p455)) % 0.24/0.43 (step-pop @p457 :rule scope :premises (@p456)) % 0.24/0.43 (step-pop @p458 :rule scope :premises (@p457)) % 0.24/0.43 (step @p385 :rule process_scope :premises (@p458) :args (@t192)) % 0.24/0.43 (step @p390 :rule and_intro :premises (@p11 @p449 @p188 @p450)) % 0.24/0.43 (step @p391 :rule modus_ponens :premises (@p390 @p385)) % 0.24/0.43 (step-pop @p459 :rule scope :premises (@p391)) % 0.24/0.43 (step-pop @p460 :rule scope :premises (@p459)) % 0.24/0.43 (step-pop @p461 :rule scope :premises (@p460)) % 0.24/0.43 (step-pop @p462 :rule scope :premises (@p461)) % 0.24/0.43 (step @p392 :rule process_scope :premises (@p462) :args (@t192)) % 0.24/0.43 (step @p397 :rule implies_elim :premises (@p392)) % 0.24/0.43 (step @p398 :rule cnf_and_neg :args (@t194)) % 0.24/0.43 (step @p399 :rule resolution :premises (@p398 @p397) :args (true @t194)) % 0.24/0.43 (step @p400 :rule eq_resolve :premises (@p399 @p368)) % 0.24/0.43 (step @p401 :rule reordering :premises (@p400) :args ((or @t1 @t159 @t164 @t193 @t192))) % 0.24/0.43 (step @p402 false :rule chain_m_resolution :premises (@p401 @p363 @p304 @p277 @p188 @p11) :args (false (@list false false false false true) (@list @t189 @t156 @t172 @t142 @t1))) % 0.24/0.43 ) % 0.24/0.43 % SZS output end Proof % 0.24/0.43 % cvc5 exiting %------------------------------------------------------------------------------