%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC025-1 : 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 : n021.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 11.42s 11.69s % Output : Proof 11.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC025-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:11:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 11.42/11.69 % SZS status Unsatisfiable % 11.42/11.69 % SZS output start Proof % 11.52/11.70 ( % 11.52/11.70 (declare-sort $$unsorted 0) % 11.52/11.70 (declare-const tptp.sk4 $$unsorted) % 11.52/11.70 (declare-const tptp.sk2 $$unsorted) % 11.52/11.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.nil $$unsorted) % 11.52/11.70 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.sk1 $$unsorted) % 11.52/11.70 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skac2 $$unsorted) % 11.52/11.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.sk3 $$unsorted) % 11.52/11.70 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skac3 $$unsorted) % 11.52/11.70 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 11.52/11.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 11.52/11.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 11.52/11.70 (define @t1 () (tptp.ssList tptp.nil)) % 11.52/11.70 (define @t2 () (@var "U" $$unsorted)) % 11.52/11.70 (define @t3 () (tptp.skaf83 @t2)) % 11.52/11.70 (define @t4 () (@list @t2)) % 11.52/11.70 (define @t5 () (tptp.skaf82 @t2)) % 11.52/11.70 (define @t6 () (tptp.skaf81 @t2)) % 11.52/11.70 (define @t7 () (tptp.skaf80 @t2)) % 11.52/11.70 (define @t8 () (tptp.skaf79 @t2)) % 11.52/11.70 (define @t9 () (tptp.skaf78 @t2)) % 11.52/11.70 (define @t10 () (tptp.skaf77 @t2)) % 11.52/11.70 (define @t11 () (tptp.skaf76 @t2)) % 11.52/11.70 (define @t12 () (tptp.skaf75 @t2)) % 11.52/11.70 (define @t13 () (tptp.skaf74 @t2)) % 11.52/11.70 (define @t14 () (tptp.skaf73 @t2)) % 11.52/11.70 (define @t15 () (tptp.skaf72 @t2)) % 11.52/11.70 (define @t16 () (tptp.skaf71 @t2)) % 11.52/11.70 (define @t17 () (tptp.skaf70 @t2)) % 11.52/11.70 (define @t18 () (tptp.skaf69 @t2)) % 11.52/11.70 (define @t19 () (tptp.skaf68 @t2)) % 11.52/11.70 (define @t20 () (tptp.skaf67 @t2)) % 11.52/11.70 (define @t21 () (tptp.skaf66 @t2)) % 11.52/11.70 (define @t22 () (tptp.skaf65 @t2)) % 11.52/11.70 (define @t23 () (tptp.skaf64 @t2)) % 11.52/11.70 (define @t24 () (tptp.skaf63 @t2)) % 11.52/11.70 (define @t25 () (tptp.skaf62 @t2)) % 11.52/11.70 (define @t26 () (tptp.skaf61 @t2)) % 11.52/11.70 (define @t27 () (tptp.skaf60 @t2)) % 11.52/11.70 (define @t28 () (tptp.skaf59 @t2)) % 11.52/11.70 (define @t29 () (tptp.skaf58 @t2)) % 11.52/11.70 (define @t30 () (tptp.skaf57 @t2)) % 11.52/11.70 (define @t31 () (tptp.skaf56 @t2)) % 11.52/11.70 (define @t32 () (tptp.skaf55 @t2)) % 11.52/11.70 (define @t33 () (tptp.skaf54 @t2)) % 11.52/11.70 (define @t34 () (tptp.skaf53 @t2)) % 11.52/11.70 (define @t35 () (tptp.skaf52 @t2)) % 11.52/11.70 (define @t36 () (tptp.skaf51 @t2)) % 11.52/11.70 (define @t37 () (tptp.skaf50 @t2)) % 11.52/11.70 (define @t38 () (tptp.skaf49 @t2)) % 11.52/11.70 (define @t39 () (tptp.skaf44 @t2)) % 11.52/11.70 (define @t40 () (@var "V" $$unsorted)) % 11.52/11.70 (define @t41 () (@list @t2 @t40)) % 11.52/11.70 (define @t42 () (tptp.skaf47 @t2 @t40)) % 11.52/11.70 (define @t43 () (tptp.skaf46 @t2 @t40)) % 11.52/11.70 (define @t44 () (tptp.skaf45 @t2 @t40)) % 11.52/11.70 (define @t45 () (tptp.skaf42 @t2 @t40)) % 11.52/11.70 (define @t46 () (not (tptp.ssItem @t2))) % 11.52/11.70 (define @t47 () (not (tptp.ssList @t2))) % 11.52/11.70 (define @t48 () (tptp.cons @t2 tptp.nil)) % 11.52/11.70 (define @t49 () (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 11.52/11.70 (define @t50 () (tptp.ssItem @t40)) % 11.52/11.70 (define @t51 () (tptp.duplicatefreeP @t2)) % 11.52/11.70 (define @t52 () (= tptp.nil @t2)) % 11.52/11.70 (define @t53 () (tptp.tl @t2)) % 11.52/11.70 (define @t54 () (tptp.hd @t2)) % 11.52/11.70 (define @t55 () (tptp.segmentP tptp.nil @t2)) % 11.52/11.70 (define @t56 () (not @t52)) % 11.52/11.70 (define @t57 () (tptp.rearsegP tptp.nil @t2)) % 11.52/11.70 (define @t58 () (tptp.frontsegP tptp.nil @t2)) % 11.52/11.70 (define @t59 () (tptp.app @t40 @t2)) % 11.52/11.70 (define @t60 () (not (tptp.ssList @t40))) % 11.52/11.70 (define @t61 () (tptp.cons @t2 @t40)) % 11.52/11.70 (define @t62 () (tptp.cyclefreeP @t2)) % 11.52/11.70 (define @t63 () (tptp.equalelemsP @t2)) % 11.52/11.70 (define @t64 () (tptp.strictorderedP @t2)) % 11.52/11.70 (define @t65 () (tptp.totalorderedP @t2)) % 11.52/11.70 (define @t66 () (tptp.strictorderP @t2)) % 11.52/11.70 (define @t67 () (tptp.totalorderP @t2)) % 11.52/11.70 (define @t68 () (tptp.hd @t61)) % 11.52/11.70 (define @t69 () (or @t46 @t60 (= @t68 @t2))) % 11.52/11.70 (define @t70 () (forall @t41 @t69)) % 11.52/11.70 (define @t71 () (= @t40 @t2)) % 11.52/11.70 (define @t72 () (tptp.neq @t40 @t2)) % 11.52/11.70 (define @t73 () (not @t50)) % 11.52/11.70 (define @t74 () (tptp.leq @t2 @t40)) % 11.52/11.70 (define @t75 () (tptp.lt @t2 @t40)) % 11.52/11.70 (define @t76 () (not @t75)) % 11.52/11.70 (define @t77 () (tptp.lt @t40 @t2)) % 11.52/11.70 (define @t78 () (not (tptp.gt @t2 @t40))) % 11.52/11.70 (define @t79 () (tptp.gt @t40 @t2)) % 11.52/11.70 (define @t80 () (tptp.leq @t40 @t2)) % 11.52/11.70 (define @t81 () (not (tptp.geq @t2 @t40))) % 11.52/11.70 (define @t82 () (tptp.geq @t40 @t2)) % 11.52/11.70 (define @t83 () (not @t74)) % 11.52/11.70 (define @t84 () (tptp.cons @t3 @t5)) % 11.52/11.70 (define @t85 () (or @t47 (= @t84 @t2) @t52)) % 11.52/11.70 (define @t86 () (forall @t4 @t85)) % 11.52/11.70 (define @t87 () (= @t2 @t40)) % 11.52/11.70 (define @t88 () (not @t87)) % 11.52/11.70 (define @t89 () (tptp.cons @t40 @t2)) % 11.52/11.70 (define @t90 () (not (tptp.neq @t2 @t40))) % 11.52/11.70 (define @t91 () (tptp.app @t2 @t40)) % 11.52/11.70 (define @t92 () (= @t91 tptp.nil)) % 11.52/11.70 (define @t93 () (not @t92)) % 11.52/11.70 (define @t94 () (= tptp.nil @t40)) % 11.52/11.70 (define @t95 () (tptp.hd @t40)) % 11.52/11.70 (define @t96 () (tptp.strictorderedP @t40)) % 11.52/11.70 (define @t97 () (tptp.strictorderedP @t61)) % 11.52/11.70 (define @t98 () (not @t97)) % 11.52/11.70 (define @t99 () (tptp.totalorderedP @t40)) % 11.52/11.70 (define @t100 () (tptp.totalorderedP @t61)) % 11.52/11.70 (define @t101 () (not @t100)) % 11.52/11.70 (define @t102 () (not (tptp.segmentP @t2 @t40))) % 11.52/11.70 (define @t103 () (not (tptp.rearsegP @t2 @t40))) % 11.52/11.70 (define @t104 () (not (tptp.frontsegP @t2 @t40))) % 11.52/11.70 (define @t105 () (not @t80)) % 11.52/11.70 (define @t106 () (tptp.tl @t40)) % 11.52/11.70 (define @t107 () (tptp.lt @t2 @t95)) % 11.52/11.70 (define @t108 () (tptp.leq @t2 @t95)) % 11.52/11.70 (define @t109 () (@var "W" $$unsorted)) % 11.52/11.70 (define @t110 () (tptp.app @t109 @t2)) % 11.52/11.70 (define @t111 () (not (tptp.ssList @t109))) % 11.52/11.70 (define @t112 () (@list @t2 @t40 @t109)) % 11.52/11.70 (define @t113 () (tptp.app @t2 @t109)) % 11.52/11.70 (define @t114 () (tptp.cons @t40 @t109)) % 11.52/11.70 (define @t115 () (tptp.memberP @t114 @t2)) % 11.52/11.70 (define @t116 () (or @t88 @t111 @t73 @t46 @t115)) % 11.52/11.70 (define @t117 () (forall @t112 @t116)) % 11.52/11.70 (define @t118 () (tptp.cons @t109 @t2)) % 11.52/11.70 (define @t119 () (not (tptp.ssItem @t109))) % 11.52/11.70 (define @t120 () (not (tptp.memberP @t2 @t40))) % 11.52/11.70 (define @t121 () (not (= @t91 @t109))) % 11.52/11.70 (define @t122 () (not @t94)) % 11.52/11.70 (define @t123 () (or @t56 @t122 @t60 @t47 @t92)) % 11.52/11.70 (define @t124 () (forall @t41 @t123)) % 11.52/11.70 (define @t125 () (tptp.lt @t2 @t109)) % 11.52/11.70 (define @t126 () (not (tptp.lt @t40 @t109))) % 11.52/11.70 (define @t127 () (tptp.app @t109 @t40)) % 11.52/11.70 (define @t128 () (= @t40 @t109)) % 11.52/11.70 (define @t129 () (= @t2 @t109)) % 11.52/11.70 (define @t130 () (tptp.memberP @t40 @t109)) % 11.52/11.70 (define @t131 () (@var "X" $$unsorted)) % 11.52/11.70 (define @t132 () (not (tptp.ssList @t131))) % 11.52/11.70 (define @t133 () (tptp.cons @t109 @t131)) % 11.52/11.70 (define @t134 () (not (= @t61 @t133))) % 11.52/11.70 (define @t135 () (@list @t2 @t40 @t109 @t131)) % 11.52/11.70 (define @t136 () (not (tptp.frontsegP @t61 @t133))) % 11.52/11.70 (define @t137 () (tptp.app @t2 @t114)) % 11.52/11.70 (define @t138 () (not (tptp.ssItem @t131))) % 11.52/11.70 (define @t139 () (@var "Y" $$unsorted)) % 11.52/11.70 (define @t140 () (not (tptp.ssList @t139))) % 11.52/11.70 (define @t141 () (@list @t2 @t40 @t109 @t131 @t139)) % 11.52/11.70 (define @t142 () (tptp.lt @t40 @t131)) % 11.52/11.70 (define @t143 () (@var "Z" $$unsorted)) % 11.52/11.70 (define @t144 () (not (tptp.ssList @t143))) % 11.52/11.70 (define @t145 () (not (= (tptp.app @t137 (tptp.cons @t131 @t139)) @t143))) % 11.52/11.70 (define @t146 () (@list @t2 @t40 @t109 @t131 @t139 @t143)) % 11.52/11.70 (define @t147 () (tptp.leq @t40 @t131)) % 11.52/11.70 (define @t148 () (tptp.ssList tptp.sk1)) % 11.52/11.70 (define @t149 () (tptp.ssList tptp.sk2)) % 11.52/11.70 (define @t150 () (= tptp.sk2 tptp.sk4)) % 11.52/11.70 (define @t151 () (= tptp.sk1 tptp.sk3)) % 11.52/11.70 (define @t152 () (@var "A" $$unsorted)) % 11.52/11.70 (define @t153 () (tptp.memberP tptp.sk3 @t152)) % 11.52/11.70 (define @t154 () (tptp.memberP tptp.sk4 @t152)) % 11.52/11.70 (define @t155 () (not (tptp.ssItem @t152))) % 11.52/11.70 (define @t156 () (@list @t152)) % 11.52/11.70 (define @t157 () (= tptp.nil tptp.sk1)) % 11.52/11.70 (define @t158 () (= tptp.nil tptp.sk2)) % 11.52/11.70 (define @t159 () (not @t158)) % 11.52/11.70 (define @t160 () (not @t157)) % 11.52/11.70 (define @t161 () (@list tptp.sk2)) % 11.52/11.70 (define @t162 () (tptp.hd tptp.sk2)) % 11.52/11.70 (define @t163 () (tptp.ssItem @t162)) % 11.52/11.70 (define @t164 () (not @t149)) % 11.52/11.70 (define @t165 () (or @t164 @t163 @t158)) % 11.52/11.70 (define @t166 () (tptp.skaf82 tptp.sk2)) % 11.52/11.70 (define @t167 () (tptp.skaf83 tptp.sk2)) % 11.52/11.70 (define @t168 () (tptp.cons @t167 @t166)) % 11.52/11.70 (define @t169 () (= tptp.sk2 @t168)) % 11.52/11.70 (define @t170 () (or @t164 @t169 @t158)) % 11.52/11.70 (define @t171 () (@list @t162)) % 11.52/11.70 (define @t172 () (not @t163)) % 11.52/11.70 (define @t173 () (tptp.memberP tptp.nil @t162)) % 11.52/11.70 (define @t174 () (not @t173)) % 11.52/11.70 (define @t175 () (or @t174 @t172)) % 11.52/11.70 (define @t176 () (@list @t167 @t166)) % 11.52/11.70 (define @t177 () (= @t167 (tptp.hd @t168))) % 11.52/11.70 (define @t178 () (tptp.ssList @t166)) % 11.52/11.70 (define @t179 () (not @t178)) % 11.52/11.70 (define @t180 () (tptp.ssItem @t167)) % 11.52/11.70 (define @t181 () (not @t180)) % 11.52/11.70 (define @t182 () (or @t181 @t179 @t177)) % 11.52/11.70 (define @t183 () (@list false false false)) % 11.52/11.70 (define @t184 () (tptp.memberP @t114 @t40)) % 11.52/11.70 (define @t185 () (not (= @t40 @t40))) % 11.52/11.70 (define @t186 () (or @t185 @t111 @t73 @t73 @t184)) % 11.52/11.70 (define @t187 () (@list @t40 @t109)) % 11.52/11.70 (define @t188 () (or @t88 @t88 @t111 @t73 @t46 @t115)) % 11.52/11.70 (define @t189 () (forall @t4 @t116)) % 11.52/11.71 (define @t190 () (forall @t187 @t189)) % 11.52/11.71 (define @t191 () (forall (@list @t40 @t109 @t2) @t116)) % 11.52/11.71 (define @t192 () (tptp.memberP @t168 @t167)) % 11.52/11.71 (define @t193 () (or @t179 @t181 @t192)) % 11.52/11.71 (define @t194 () (tptp.memberP tptp.sk4 @t162)) % 11.52/11.71 (define @t195 () (and @t150 @t169 @t177 @t192)) % 11.52/11.71 (define @t196 () (tptp.app tptp.nil tptp.nil)) % 11.52/11.71 (define @t197 () (= tptp.nil @t196)) % 11.52/11.71 (define @t198 () (not @t1)) % 11.52/11.71 (define @t199 () (or @t198 @t197)) % 11.52/11.71 (define @t200 () (not (= tptp.nil tptp.nil))) % 11.52/11.71 (define @t201 () (or @t200 @t198 @t197)) % 11.52/11.71 (define @t202 () (= tptp.nil (tptp.app tptp.nil @t40))) % 11.52/11.71 (define @t203 () (@list @t40)) % 11.52/11.71 (define @t204 () (or @t122 @t122 @t60 @t202)) % 11.52/11.71 (define @t205 () (or @t122 @t60 @t202)) % 11.52/11.71 (define @t206 () (forall @t203 @t205)) % 11.52/11.71 (define @t207 () (or @t198 @t206)) % 11.52/11.71 (define @t208 () (or @t198 @t205)) % 11.52/11.71 (define @t209 () (or @t122 @t60 @t198 @t202)) % 11.52/11.71 (define @t210 () (or @t200 @t122 @t60 @t198 @t202)) % 11.52/11.71 (define @t211 () (= tptp.nil @t91)) % 11.52/11.71 (define @t212 () (or @t56 @t56 @t122 @t60 @t47 @t211)) % 11.52/11.71 (define @t213 () (or @t56 @t122 @t60 @t47 @t211)) % 11.52/11.71 (define @t214 () (forall @t4 @t213)) % 11.52/11.71 (define @t215 () (forall @t203 @t214)) % 11.52/11.71 (define @t216 () (forall (@list @t40 @t2) @t213)) % 11.52/11.71 (define @t217 () (tptp.memberP tptp.sk3 @t162)) % 11.52/11.71 (define @t218 () (not @t217)) % 11.52/11.71 (define @t219 () (not @t197)) % 11.52/11.71 (define @t220 () (not @t151)) % 11.52/11.71 (define @t221 () (and @t151 @t157 @t197 @t174)) % 11.52/11.71 (define @t222 () (not @t194)) % 11.52/11.71 (define @t223 () (or @t172 @t217 @t222)) % 11.52/11.71 (define @t224 () (@list tptp.sk1)) % 11.52/11.71 (define @t225 () (tptp.hd tptp.sk1)) % 11.52/11.71 (define @t226 () (tptp.ssItem @t225)) % 11.52/11.71 (define @t227 () (not @t148)) % 11.52/11.71 (define @t228 () (or @t227 @t226 @t157)) % 11.52/11.71 (define @t229 () (@list @t225)) % 11.52/11.71 (define @t230 () (not @t226)) % 11.52/11.71 (define @t231 () (tptp.memberP tptp.nil @t225)) % 11.52/11.71 (define @t232 () (not @t231)) % 11.52/11.71 (define @t233 () (or @t232 @t230)) % 11.52/11.71 (define @t234 () (tptp.skaf82 tptp.sk1)) % 11.52/11.71 (define @t235 () (tptp.skaf83 tptp.sk1)) % 11.52/11.71 (define @t236 () (tptp.cons @t235 @t234)) % 11.52/11.71 (define @t237 () (= tptp.sk1 @t236)) % 11.52/11.71 (define @t238 () (or @t227 @t237 @t157)) % 11.52/11.71 (define @t239 () (tptp.memberP tptp.sk4 @t225)) % 11.52/11.71 (define @t240 () (not @t239)) % 11.52/11.71 (define @t241 () (not @t150)) % 11.52/11.71 (define @t242 () (and @t150 @t158 @t232)) % 11.52/11.71 (define @t243 () (@list @t235 @t234)) % 11.52/11.71 (define @t244 () (= @t235 (tptp.hd @t236))) % 11.52/11.71 (define @t245 () (tptp.ssList @t234)) % 11.52/11.71 (define @t246 () (not @t245)) % 11.52/11.71 (define @t247 () (tptp.ssItem @t235)) % 11.52/11.71 (define @t248 () (not @t247)) % 11.52/11.71 (define @t249 () (or @t248 @t246 @t244)) % 11.52/11.71 (define @t250 () (tptp.memberP @t236 @t235)) % 11.52/11.71 (define @t251 () (or @t246 @t248 @t250)) % 11.52/11.71 (define @t252 () (tptp.memberP tptp.sk3 @t225)) % 11.52/11.71 (define @t253 () (and @t151 @t237 @t244 @t250)) % 11.52/11.71 (define @t254 () (not @t252)) % 11.52/11.71 (define @t255 () (or @t230 @t239 @t254)) % 11.52/11.71 (assume @p1 (tptp.equalelemsP tptp.nil)) % 11.52/11.71 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 11.52/11.71 (assume @p3 (tptp.strictorderedP tptp.nil)) % 11.52/11.71 (assume @p4 (tptp.totalorderedP tptp.nil)) % 11.52/11.71 (assume @p5 (tptp.strictorderP tptp.nil)) % 11.52/11.71 (assume @p6 (tptp.totalorderP tptp.nil)) % 11.52/11.71 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 11.52/11.71 (assume @p8 @t1) % 11.52/11.71 (assume @p9 (tptp.ssItem tptp.skac3)) % 11.52/11.71 (assume @p10 (tptp.ssItem tptp.skac2)) % 11.52/11.71 (assume @p11 (not (tptp.singletonP tptp.nil))) % 11.52/11.71 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 11.52/11.71 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 11.52/11.71 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 11.52/11.71 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 11.52/11.71 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 11.52/11.71 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 11.52/11.71 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 11.52/11.71 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 11.52/11.71 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 11.52/11.71 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 11.52/11.71 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 11.52/11.71 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 11.52/11.71 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 11.52/11.71 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 11.52/11.71 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 11.52/11.71 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 11.52/11.71 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 11.52/11.71 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 11.52/11.71 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 11.52/11.71 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 11.52/11.71 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 11.52/11.71 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 11.52/11.71 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 11.52/11.71 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 11.52/11.71 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 11.52/11.71 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 11.52/11.71 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 11.52/11.71 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 11.52/11.71 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 11.52/11.71 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 11.52/11.71 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 11.52/11.71 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 11.52/11.71 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 11.52/11.71 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 11.52/11.71 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 11.52/11.71 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 11.52/11.71 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 11.52/11.71 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 11.52/11.71 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 11.52/11.71 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 11.52/11.71 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 11.52/11.71 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 11.52/11.71 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 11.52/11.71 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 11.52/11.71 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 11.52/11.71 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 11.52/11.71 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 11.52/11.71 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 11.52/11.71 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 11.52/11.71 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 11.52/11.71 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 11.52/11.71 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 11.52/11.71 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 11.52/11.71 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 11.52/11.71 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 11.52/11.71 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 11.52/11.71 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 11.52/11.71 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 11.52/11.71 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 11.52/11.71 (assume @p71 @t49) % 11.52/11.71 (assume @p72 (forall @t41 (or @t47 @t51 @t50))) % 11.52/11.71 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 11.52/11.71 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 11.52/11.71 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t53) @t52))) % 11.52/11.71 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t54) @t52))) % 11.52/11.71 (assume @p77 (forall @t4 (or @t56 @t47 @t55))) % 11.52/11.71 (assume @p78 (forall @t4 (or (not @t55) @t47 @t52))) % 11.52/11.71 (assume @p79 (forall @t4 (or @t56 @t47 @t57))) % 11.52/11.71 (assume @p80 (forall @t4 (or (not @t57) @t47 @t52))) % 11.52/11.71 (assume @p81 (forall @t4 (or @t56 @t47 @t58))) % 11.52/11.71 (assume @p82 (forall @t4 (or (not @t58) @t47 @t52))) % 11.52/11.71 (assume @p83 (forall @t41 (or @t47 @t60 (tptp.ssList @t59)))) % 11.52/11.71 (assume @p84 (forall @t41 (or @t46 @t60 (tptp.ssList @t61)))) % 11.52/11.71 (assume @p85 (forall @t4 (or @t47 @t62 (tptp.leq @t37 @t38)))) % 11.52/11.71 (assume @p86 (forall @t4 (or @t47 @t62 (tptp.leq @t38 @t37)))) % 11.52/11.71 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t63))) % 11.52/11.71 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t64))) % 11.52/11.71 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t65))) % 11.52/11.71 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t66))) % 11.52/11.71 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t66))) % 11.52/11.71 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t67))) % 11.52/11.71 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t67))) % 11.52/11.71 (assume @p94 (forall @t41 (or @t46 @t60 (= (tptp.tl @t61) @t40)))) % 11.52/11.71 (assume @p95 @t70) % 11.52/11.71 (assume @p96 (forall @t41 (or (not (= @t61 tptp.nil)) @t46 @t60))) % 11.52/11.71 (assume @p97 (forall @t41 (or (not (= @t61 @t40)) @t46 @t60))) % 11.52/11.71 (assume @p98 (forall @t41 (or @t47 @t60 @t72 @t71))) % 11.52/11.71 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 11.52/11.71 (assume @p100 (forall @t41 (or @t46 @t73 @t72 @t71))) % 11.52/11.71 (assume @p101 (forall @t41 (or @t76 @t73 @t46 @t74))) % 11.52/11.71 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t54 @t53) @t2) @t52))) % 11.52/11.71 (assume @p103 (forall @t41 (or @t78 @t73 @t46 @t77))) % 11.52/11.71 (assume @p104 (forall @t41 (or @t76 @t46 @t73 @t79))) % 11.52/11.71 (assume @p105 (forall @t41 (or @t81 @t73 @t46 @t80))) % 11.52/11.71 (assume @p106 (forall @t41 (or @t83 @t46 @t73 @t82))) % 11.52/11.71 (assume @p107 @t86) % 11.52/11.71 (assume @p108 (forall @t41 (or @t78 (not @t79) @t46 @t73))) % 11.52/11.71 (assume @p109 (forall @t41 (or @t88 @t76 @t73 @t46))) % 11.52/11.71 (assume @p110 (forall @t41 (or @t56 @t47 @t73 (tptp.strictorderedP @t89)))) % 11.52/11.71 (assume @p111 (forall @t41 (or @t56 @t47 @t73 (tptp.totalorderedP @t89)))) % 11.52/11.71 (assume @p112 (forall @t41 (or @t76 (not @t77) @t46 @t73))) % 11.52/11.71 (assume @p113 (forall @t41 (or @t88 @t90 @t60 @t47))) % 11.52/11.71 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t60 (tptp.singletonP @t40)))) % 11.52/11.71 (assume @p115 (forall @t41 (or @t88 @t90 @t73 @t46))) % 11.52/11.71 (assume @p116 (forall @t41 (or @t93 @t60 @t47 @t52))) % 11.52/11.71 (assume @p117 (forall @t41 (or @t93 @t60 @t47 @t94))) % 11.52/11.71 (assume @p118 (forall @t41 (or @t46 @t60 (= (tptp.app @t48 @t40) @t61)))) % 11.52/11.71 (assume @p119 (forall @t41 (or @t83 @t73 @t46 @t75 @t87))) % 11.52/11.71 (assume @p120 (forall @t41 (or @t47 @t60 @t94 (= (tptp.hd @t59) @t95)))) % 11.52/11.71 (assume @p121 (forall @t41 (or @t98 @t60 @t46 @t96 @t94))) % 11.52/11.71 (assume @p122 (forall @t41 (or @t101 @t60 @t46 @t99 @t94))) % 11.52/11.71 (assume @p123 (forall @t41 (or @t81 (not @t82) @t46 @t73 @t71))) % 11.52/11.71 (assume @p124 (forall @t41 (or @t102 (not (tptp.segmentP @t40 @t2)) @t47 @t60 @t71))) % 11.52/11.71 (assume @p125 (forall @t41 (or @t103 (not (tptp.rearsegP @t40 @t2)) @t47 @t60 @t71))) % 11.52/11.71 (assume @p126 (forall @t41 (or @t104 (not (tptp.frontsegP @t40 @t2)) @t47 @t60 @t71))) % 11.52/11.71 (assume @p127 (forall @t41 (or @t83 @t105 @t46 @t73 @t71))) % 11.52/11.71 (assume @p128 (forall @t41 (or @t103 @t60 @t47 (= (tptp.app @t43 @t40) @t2)))) % 11.52/11.71 (assume @p129 (forall @t41 (or @t104 @t60 @t47 (= (tptp.app @t40 @t44) @t2)))) % 11.52/11.71 (assume @p130 (forall @t41 (or @t47 @t60 @t94 (= (tptp.tl @t59) (tptp.app @t106 @t2))))) % 11.52/11.71 (assume @p131 (forall @t41 (or @t98 @t60 @t46 @t107 @t94))) % 11.52/11.71 (assume @p132 (forall @t41 (or @t101 @t60 @t46 @t108 @t94))) % 11.52/11.71 (assume @p133 (forall @t112 (or @t103 @t111 @t60 @t47 (tptp.rearsegP @t110 @t40)))) % 11.52/11.71 (assume @p134 (forall @t112 (or @t104 @t111 @t60 @t47 (tptp.frontsegP @t113 @t40)))) % 11.52/11.71 (assume @p135 @t117) % 11.52/11.71 (assume @p136 (forall @t112 (or @t120 @t47 @t119 @t73 (tptp.memberP @t118 @t40)))) % 11.52/11.71 (assume @p137 (forall @t112 (or @t120 @t111 @t47 @t73 (tptp.memberP @t113 @t40)))) % 11.52/11.71 (assume @p138 (forall @t112 (or @t120 @t47 @t111 @t73 (tptp.memberP @t110 @t40)))) % 11.52/11.71 (assume @p139 (forall @t4 (or @t47 @t63 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 11.52/11.71 (assume @p140 (forall @t112 (or @t121 @t47 @t60 @t111 (tptp.rearsegP @t109 @t40)))) % 11.52/11.71 (assume @p141 (forall @t112 (or @t121 @t60 @t47 @t111 (tptp.frontsegP @t109 @t2)))) % 11.52/11.71 (assume @p142 @t124) % 11.52/11.71 (assume @p143 (forall @t112 (or @t78 (not (tptp.gt @t40 @t109)) @t119 @t73 @t46 (tptp.gt @t2 @t109)))) % 11.52/11.71 (assume @p144 (forall @t112 (or @t83 @t126 @t119 @t73 @t46 @t125))) % 11.52/11.71 (assume @p145 (forall @t112 (or @t81 (not (tptp.geq @t40 @t109)) @t119 @t73 @t46 (tptp.geq @t2 @t109)))) % 11.52/11.71 (assume @p146 (forall @t112 (or @t47 @t60 @t111 (= (tptp.app @t127 @t2) (tptp.app @t109 @t59))))) % 11.52/11.71 (assume @p147 (forall @t112 (or (not (= @t91 @t113)) @t60 @t47 @t111 @t128))) % 11.52/11.71 (assume @p148 (forall @t112 (or (not (= @t91 @t127)) @t47 @t60 @t111 @t129))) % 11.52/11.71 (assume @p149 (forall @t112 (or @t102 (not (tptp.segmentP @t40 @t109)) @t111 @t60 @t47 (tptp.segmentP @t2 @t109)))) % 11.52/11.71 (assume @p150 (forall @t112 (or @t103 (not (tptp.rearsegP @t40 @t109)) @t111 @t60 @t47 (tptp.rearsegP @t2 @t109)))) % 11.52/11.71 (assume @p151 (forall @t112 (or @t104 (not (tptp.frontsegP @t40 @t109)) @t111 @t60 @t47 (tptp.frontsegP @t2 @t109)))) % 11.52/11.71 (assume @p152 (forall @t112 (or @t76 @t126 @t119 @t73 @t46 @t125))) % 11.52/11.71 (assume @p153 (forall @t112 (or @t83 (not (tptp.leq @t40 @t109)) @t119 @t73 @t46 (tptp.leq @t2 @t109)))) % 11.52/11.71 (assume @p154 (forall @t112 (or @t46 @t60 @t111 (= (tptp.cons @t2 (tptp.app @t40 @t109)) (tptp.app @t61 @t109))))) % 11.52/11.71 (assume @p155 (forall @t112 (or (not (tptp.memberP @t91 @t109)) @t60 @t47 @t119 @t130 (tptp.memberP @t2 @t109)))) % 11.52/11.71 (assume @p156 (forall @t41 (or (not @t108) (not @t99) @t60 @t46 @t100 @t94))) % 11.52/11.71 (assume @p157 (forall @t41 (or (not @t107) (not @t96) @t60 @t46 @t97 @t94))) % 11.52/11.71 (assume @p158 (forall @t112 (or (not (tptp.memberP @t61 @t109)) @t60 @t46 @t119 @t130 (= @t109 @t2)))) % 11.52/11.71 (assume @p159 (forall @t4 (or @t47 @t51 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 11.52/11.71 (assume @p160 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 11.52/11.71 (assume @p161 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 11.52/11.71 (assume @p162 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 11.52/11.71 (assume @p163 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 11.52/11.71 (assume @p164 (forall @t4 (or @t47 @t62 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 11.52/11.71 (assume @p165 (forall @t41 (or @t102 @t60 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 11.52/11.71 (assume @p166 (forall @t41 (or @t120 @t73 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 11.52/11.71 (assume @p167 (forall @t135 (or @t134 @t119 @t46 @t132 @t60 @t129))) % 11.52/11.71 (assume @p168 (forall @t135 (or @t134 @t119 @t46 @t132 @t60 (= @t131 @t40)))) % 11.52/11.71 (assume @p169 (forall @t135 (or @t102 @t111 @t132 @t60 @t47 (tptp.segmentP (tptp.app (tptp.app @t131 @t2) @t109) @t40)))) % 11.52/11.71 (assume @p170 (forall @t135 (or (not (= (tptp.app @t91 @t109) @t131)) @t111 @t47 @t60 @t132 (tptp.segmentP @t131 @t40)))) % 11.52/11.71 (assume @p171 (forall @t135 (or @t136 @t132 @t60 @t119 @t46 (tptp.frontsegP @t40 @t131)))) % 11.52/11.71 (assume @p172 (forall @t135 (or (not (= @t137 @t131)) @t111 @t47 @t73 @t132 (tptp.memberP @t131 @t40)))) % 11.52/11.71 (assume @p173 (forall @t135 (or @t136 @t132 @t60 @t119 @t46 @t129))) % 11.52/11.71 (assume @p174 (forall @t41 (or (not (= @t53 @t106)) (not (= @t54 @t95)) @t47 @t60 @t94 @t87 @t52))) % 11.52/11.71 (assume @p175 (forall @t135 (or @t104 (not (= @t109 @t131)) @t60 @t47 @t138 @t119 (tptp.frontsegP @t118 (tptp.cons @t131 @t40))))) % 11.52/11.71 (assume @p176 (forall @t141 (or (not (= (tptp.app @t137 (tptp.cons @t40 @t131)) @t139)) @t132 @t111 @t47 @t73 (not (tptp.duplicatefreeP @t139)) @t140))) % 11.52/11.71 (assume @p177 (forall @t141 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t133)) @t139)) @t132 @t47 @t119 @t73 (not (tptp.equalelemsP @t139)) @t140 @t128))) % 11.52/11.71 (assume @p178 (forall @t146 (or @t145 @t140 @t111 @t47 @t138 @t73 (not (tptp.strictorderedP @t143)) @t144 @t142))) % 11.52/11.71 (assume @p179 (forall @t146 (or @t145 @t140 @t111 @t47 @t138 @t73 (not (tptp.totalorderedP @t143)) @t144 @t147))) % 11.52/11.71 (assume @p180 (forall @t146 (or @t145 @t140 @t111 @t47 @t138 @t73 (not (tptp.strictorderP @t143)) @t144 @t142 (tptp.lt @t131 @t40)))) % 11.52/11.71 (assume @p181 (forall @t146 (or @t145 @t140 @t111 @t47 @t138 @t73 (not (tptp.totalorderP @t143)) @t144 @t147 (tptp.leq @t131 @t40)))) % 11.52/11.71 (assume @p182 (forall @t146 (or @t83 @t105 (not (= (tptp.app (tptp.app @t109 (tptp.cons @t2 @t131)) (tptp.cons @t40 @t139)) @t143)) @t140 @t132 @t111 @t73 @t46 (not (tptp.cyclefreeP @t143)) @t144))) % 11.52/11.71 (assume @p183 @t148) % 11.52/11.71 (assume @p184 @t149) % 11.52/11.71 (assume @p185 (tptp.ssList tptp.sk3)) % 11.52/11.71 (assume @p186 (tptp.ssList tptp.sk4)) % 11.52/11.71 (assume @p187 @t150) % 11.52/11.71 (assume @p188 @t151) % 11.52/11.71 (assume @p189 (tptp.duplicatefreeP tptp.sk3)) % 11.52/11.71 (assume @p190 (forall @t156 (or @t155 @t154 (not @t153)))) % 11.52/11.71 (assume @p191 (forall @t156 (or @t155 @t153 (not @t154)))) % 11.52/11.71 (assume @p192 (or @t158 @t157)) % 11.52/11.71 (assume @p193 (or @t158 @t159)) % 11.52/11.71 (assume @p194 (or @t160 @t157)) % 11.52/11.71 (assume @p195 (or @t160 @t159)) % 11.52/11.71 (step @p196 :rule reordering :premises (@p195) :args ((or @t159 @t160))) % 11.52/11.71 (step @p197 :rule instantiate :premises (@p76) :args (@t161)) % 11.52/11.71 (step @p198 :rule cnf_or_pos :args (@t165)) % 11.52/11.71 (step @p199 :rule reordering :premises (@p198) :args ((or @t158 @t164 @t163 (not @t165)))) % 11.52/11.71 (step @p200 :rule refl :args (@t52)) % 11.52/11.71 (step @p201 :rule eq-symm :args (@t84 @t2)) % 11.52/11.71 (step @p202 :rule refl :args (@t47)) % 11.52/11.71 (step @p203 :rule nary_cong :premises (@p202 @p201 @p200) :args (@t85)) % 11.52/11.71 (step @p204 :rule cong :premises (@p203) :args (@t86)) % 11.52/11.71 (step @p205 :rule eq_resolve :premises (@p107 @p204)) % 11.52/11.71 (step @p206 :rule instantiate :premises (@p205) :args (@t161)) % 11.52/11.71 (step @p207 :rule cnf_or_pos :args (@t170)) % 11.52/11.71 (step @p208 :rule reordering :premises (@p207) :args ((or @t158 @t164 @t169 (not @t170)))) % 11.52/11.71 (step @p209 :rule instantiate :premises (@p71) :args (@t171)) % 11.52/11.71 (step @p210 :rule cnf_or_pos :args (@t175)) % 11.52/11.71 (step @p211 :rule reordering :premises (@p210) :args ((or @t172 @t174 (not @t175)))) % 11.52/11.71 (step @p212 :rule eq-symm :args (@t68 @t2)) % 11.52/11.71 (step @p213 :rule refl :args (@t60)) % 11.52/11.71 (step @p214 :rule refl :args (@t46)) % 11.52/11.71 (step @p215 :rule nary_cong :premises (@p214 @p213 @p212) :args (@t69)) % 11.52/11.71 (step @p216 :rule cong :premises (@p215) :args (@t70)) % 11.52/11.71 (step @p217 :rule eq_resolve :premises (@p95 @p216)) % 11.52/11.71 (step @p218 :rule instantiate :premises (@p217) :args (@t176)) % 11.52/11.71 (step @p219 :rule instantiate :premises (@p13) :args (@t161)) % 11.52/11.71 (step @p220 :rule instantiate :premises (@p12) :args (@t161)) % 11.52/11.71 (step @p221 :rule cnf_or_pos :args (@t182)) % 11.52/11.71 (step @p222 :rule reordering :premises (@p221) :args ((or @t181 @t179 @t177 (not @t182)))) % 11.52/11.71 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p219 @p218) :args (@t177 @t183 (@list @t180 @t178 @t182))) % 11.52/11.71 (step @p224 :rule aci_norm :args ((= (or false @t111 @t73 @t73 @t184) (or @t111 @t73 @t184)))) % 11.52/11.71 (step @p225 :rule refl :args (@t184)) % 11.52/11.71 (step @p226 :rule refl :args (@t73)) % 11.52/11.71 (step @p227 :rule refl :args (@t111)) % 11.52/11.71 (step @p228 :rule evaluate :args ((not true))) % 11.52/11.71 (step @p229 :rule eq-refl :args (@t40)) % 11.52/11.71 (step @p230 :rule cong :premises (@p229) :args (@t185)) % 11.52/11.71 (step @p231 :rule trans :premises (@p230 @p228)) % 11.52/11.71 (step @p232 :rule nary_cong :premises (@p231 @p227 @p226 @p226 @p225) :args (@t186)) % 11.52/11.71 (step @p233 :rule trans :premises (@p232 @p224)) % 11.52/11.71 (step @p234 :rule cong :premises (@p233) :args ((forall @t187 @t186))) % 11.52/11.71 (step @p235 :rule quant-var-elim-eq :args ((= (forall @t4 @t188) @t186))) % 11.52/11.71 (step @p236 :rule aci_norm :args ((= @t116 @t188))) % 11.52/11.71 (step @p237 :rule cong :premises (@p236) :args (@t189)) % 11.52/11.71 (step @p238 :rule trans :premises (@p237 @p235)) % 11.52/11.71 (step @p239 :rule cong :premises (@p238) :args (@t190)) % 11.52/11.71 (step @p240 :rule quant-merge-prenex :args ((= @t190 @t191))) % 11.52/11.71 (step @p241 :rule symm :premises (@p240)) % 11.52/11.71 (step @p242 :rule quant_var_reordering :args ((= @t117 @t191))) % 11.52/11.71 (step @p243 :rule trans :premises (@p242 @p241 @p239)) % 11.52/11.71 (step @p244 :rule trans :premises (@p243 @p234)) % 11.52/11.71 (step @p245 :rule eq_resolve :premises (@p135 @p244)) % 11.52/11.71 (step @p246 :rule instantiate :premises (@p245) :args (@t176)) % 11.52/11.71 (step @p247 :rule cnf_or_pos :args (@t193)) % 11.52/11.71 (step @p248 :rule reordering :premises (@p247) :args ((or @t181 @t179 @t192 (not @t193)))) % 11.52/11.71 (step @p249 :rule chain_m_resolution :premises (@p248 @p220 @p219 @p246) :args (@t192 @t183 (@list @t180 @t178 @t193))) % 11.52/11.71 (assume-push @p487 @t150) % 11.52/11.71 (assume-push @p488 @t169) % 11.52/11.71 (assume-push @p489 @t177) % 11.52/11.71 (assume-push @p490 @t192) % 11.52/11.71 (assume-push @p491 @t192) % 11.52/11.71 (assume-push @p492 @t169) % 11.52/11.71 (assume-push @p493 @t150) % 11.52/11.71 (assume-push @p494 @t177) % 11.52/11.71 (step @p258 :rule true_intro :premises (@p249)) % 11.52/11.71 (step @p259 :rule refl :args (@t167)) % 11.52/11.71 (step @p260 :rule symm :premises (@p187)) % 11.52/11.71 (step @p261 :rule trans :premises (@p260 @p488)) % 11.52/11.71 (step @p262 :rule cong :premises (@p261 @p259) :args ((tptp.memberP tptp.sk4 @t167))) % 11.52/11.71 (step @p263 :rule symm :premises (@p223)) % 11.52/11.71 (step @p264 :rule cong :premises (@p488) :args (@t162)) % 11.52/11.71 (step @p265 :rule trans :premises (@p264 @p263)) % 11.52/11.71 (step @p266 :rule refl :args (tptp.sk4)) % 11.52/11.71 (step @p267 :rule cong :premises (@p266 @p265) :args (@t194)) % 11.52/11.71 (step @p268 :rule trans :premises (@p267 @p262 @p258)) % 11.52/11.71 (step @p269 :rule true_elim :premises (@p268)) % 11.52/11.71 (step-pop @p495 :rule scope :premises (@p269)) % 11.52/11.71 (step-pop @p496 :rule scope :premises (@p495)) % 11.52/11.71 (step-pop @p497 :rule scope :premises (@p496)) % 11.52/11.71 (step-pop @p498 :rule scope :premises (@p497)) % 11.52/11.71 (step @p270 :rule process_scope :premises (@p498) :args (@t194)) % 11.52/11.71 (step @p275 :rule and_intro :premises (@p249 @p488 @p187 @p223)) % 11.52/11.71 (step @p276 :rule modus_ponens :premises (@p275 @p270)) % 11.52/11.71 (step-pop @p499 :rule scope :premises (@p276)) % 11.52/11.71 (step-pop @p500 :rule scope :premises (@p499)) % 11.52/11.71 (step-pop @p501 :rule scope :premises (@p500)) % 11.52/11.71 (step-pop @p502 :rule scope :premises (@p501)) % 11.52/11.71 (step @p277 :rule process_scope :premises (@p502) :args (@t194)) % 11.52/11.71 (step @p282 :rule implies_elim :premises (@p277)) % 11.52/11.71 (step @p283 :rule cnf_and_neg :args (@t195)) % 11.52/11.71 (step @p284 :rule resolution :premises (@p283 @p282) :args (true @t195)) % 11.52/11.71 (step @p285 :rule aci_norm :args ((= (or @t198 @t199) @t199))) % 11.52/11.71 (step @p286 :rule aci_norm :args ((= (or false @t198 @t197) @t199))) % 11.52/11.71 (step @p287 :rule refl :args (@t197)) % 11.52/11.71 (step @p288 :rule refl :args (@t198)) % 11.52/11.71 (step @p289 :rule eq-refl :args (tptp.nil)) % 11.52/11.71 (step @p290 :rule cong :premises (@p289) :args (@t200)) % 11.52/11.71 (step @p291 :rule trans :premises (@p290 @p228)) % 11.52/11.71 (step @p292 :rule nary_cong :premises (@p291 @p288 @p287) :args (@t201)) % 11.52/11.71 (step @p293 :rule trans :premises (@p292 @p286)) % 11.52/11.71 (step @p294 :rule quant-var-elim-eq :args ((= (forall @t203 (or (not (= @t40 tptp.nil)) @t122 @t60 @t202)) @t201))) % 11.52/11.71 (step @p295 :rule refl :args (@t202)) % 11.52/11.71 (step @p296 :rule refl :args (@t60)) % 11.52/11.71 (step @p297 :rule refl :args (@t122)) % 11.52/11.71 (step @p298 :rule eq-symm :args (tptp.nil @t40)) % 11.52/11.71 (step @p299 :rule cong :premises (@p298) :args (@t122)) % 11.52/11.71 (step @p300 :rule nary_cong :premises (@p299 @p297 @p296 @p295) :args (@t204)) % 11.52/11.71 (step @p301 :rule aci_norm :args ((= @t205 @t204))) % 11.52/11.71 (step @p302 :rule trans :premises (@p301 @p300)) % 11.52/11.71 (step @p303 :rule cong :premises (@p302) :args (@t206)) % 11.52/11.71 (step @p304 :rule trans :premises (@p303 @p294)) % 11.52/11.71 (step @p305 :rule trans :premises (@p304 @p293)) % 11.52/11.71 (step @p306 :rule nary_cong :premises (@p288 @p305) :args (@t207)) % 11.52/11.71 (step @p307 :rule trans :premises (@p306 @p285)) % 11.52/11.71 (step @p308 :rule quant-miniscope-or :args ((= (forall @t203 @t208) @t207))) % 11.52/11.71 (step @p309 :rule aci_norm :args ((= @t209 @t208))) % 11.52/11.71 (step @p310 :rule cong :premises (@p309) :args ((forall @t203 @t209))) % 11.52/11.71 (step @p311 :rule trans :premises (@p310 @p308)) % 11.52/11.71 (step @p312 :rule trans :premises (@p311 @p307)) % 11.52/11.71 (step @p313 :rule aci_norm :args ((= (or false @t122 @t60 @t198 @t202) @t209))) % 11.52/11.71 (step @p314 :rule refl :args (@t202)) % 11.52/11.71 (step @p315 :rule refl :args (@t122)) % 11.52/11.71 (step @p316 :rule nary_cong :premises (@p291 @p315 @p213 @p288 @p314) :args (@t210)) % 11.52/11.71 (step @p317 :rule trans :premises (@p316 @p313)) % 11.52/11.71 (step @p318 :rule cong :premises (@p317) :args ((forall @t203 @t210))) % 11.52/11.71 (step @p319 :rule trans :premises (@p318 @p312)) % 11.52/11.71 (step @p320 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t56 @t122 @t60 @t47 @t211)) @t210))) % 11.52/11.71 (step @p321 :rule refl :args (@t211)) % 11.52/11.71 (step @p322 :rule refl :args (@t47)) % 11.52/11.71 (step @p323 :rule refl :args (@t56)) % 11.52/11.71 (step @p324 :rule eq-symm :args (tptp.nil @t2)) % 11.52/11.71 (step @p325 :rule cong :premises (@p324) :args (@t56)) % 11.52/11.71 (step @p326 :rule nary_cong :premises (@p325 @p323 @p297 @p296 @p322 @p321) :args (@t212)) % 11.52/11.71 (step @p327 :rule aci_norm :args ((= @t213 @t212))) % 11.52/11.71 (step @p328 :rule trans :premises (@p327 @p326)) % 11.52/11.71 (step @p329 :rule cong :premises (@p328) :args (@t214)) % 11.52/11.71 (step @p330 :rule trans :premises (@p329 @p320)) % 11.52/11.71 (step @p331 :rule cong :premises (@p330) :args (@t215)) % 11.52/11.71 (step @p332 :rule quant-merge-prenex :args ((= @t215 @t216))) % 11.52/11.71 (step @p333 :rule symm :premises (@p332)) % 11.52/11.71 (step @p334 :rule quant_var_reordering :args ((= (forall @t41 @t213) @t216))) % 11.52/11.71 (step @p335 :rule trans :premises (@p334 @p333 @p331)) % 11.52/11.71 (step @p336 :rule trans :premises (@p335 @p319)) % 11.52/11.71 (step @p337 :rule eq-symm :args (@t91 tptp.nil)) % 11.52/11.71 (step @p338 :rule refl :args (@t56)) % 11.52/11.71 (step @p339 :rule nary_cong :premises (@p338 @p315 @p213 @p202 @p337) :args (@t123)) % 11.52/11.71 (step @p340 :rule cong :premises (@p339) :args (@t124)) % 11.52/11.71 (step @p341 :rule trans :premises (@p340 @p336)) % 11.52/11.71 (step @p342 :rule eq_resolve :premises (@p142 @p341)) % 11.52/11.71 (step @p343 :rule chain_m_resolution :premises (@p342 @p8) :args (@t197 (@list false) (@list @t1))) % 11.52/11.71 (step @p344 :rule refl :args (@t218)) % 11.52/11.71 (step @p345 :rule bool-double-not-elim :args (@t173)) % 11.52/11.71 (step @p346 :rule refl :args (@t219)) % 11.52/11.71 (step @p347 :rule refl :args (@t160)) % 11.52/11.71 (step @p348 :rule refl :args (@t220)) % 11.52/11.71 (step @p349 :rule nary_cong :premises (@p348 @p347 @p346 @p345 @p344) :args ((or @t220 @t160 @t219 (not @t174) @t218))) % 11.52/11.71 (assume-push @p503 @t151) % 11.52/11.71 (assume-push @p504 @t157) % 11.52/11.71 (assume-push @p505 @t197) % 11.52/11.71 (assume-push @p506 @t174) % 11.52/11.71 (assume-push @p507 @t174) % 11.52/11.71 (assume-push @p508 @t197) % 11.52/11.71 (assume-push @p509 @t157) % 11.52/11.71 (assume-push @p510 @t151) % 11.52/11.71 (step @p358 :rule false_intro :premises (@p506)) % 11.52/11.71 (step @p359 :rule refl :args (@t162)) % 11.52/11.71 (step @p360 :rule symm :premises (@p343)) % 11.52/11.71 (step @p361 :rule cong :premises (@p360 @p359) :args ((tptp.memberP @t196 @t162))) % 11.52/11.71 (step @p362 :rule symm :premises (@p504)) % 11.52/11.71 (step @p363 :rule symm :premises (@p188)) % 11.52/11.71 (step @p364 :rule trans :premises (@p363 @p362)) % 11.52/11.71 (step @p365 :rule trans :premises (@p364 @p343)) % 11.52/11.71 (step @p366 :rule cong :premises (@p365 @p359) :args (@t217)) % 11.52/11.71 (step @p367 :rule trans :premises (@p366 @p361 @p358)) % 11.52/11.71 (step @p368 :rule false_elim :premises (@p367)) % 11.52/11.71 (step-pop @p511 :rule scope :premises (@p368)) % 11.52/11.71 (step-pop @p512 :rule scope :premises (@p511)) % 11.52/11.71 (step-pop @p513 :rule scope :premises (@p512)) % 11.52/11.71 (step-pop @p514 :rule scope :premises (@p513)) % 11.52/11.71 (step @p369 :rule process_scope :premises (@p514) :args (@t218)) % 11.52/11.71 (step @p374 :rule and_intro :premises (@p506 @p343 @p504 @p188)) % 11.52/11.71 (step @p375 :rule modus_ponens :premises (@p374 @p369)) % 11.52/11.71 (step-pop @p515 :rule scope :premises (@p375)) % 11.52/11.71 (step-pop @p516 :rule scope :premises (@p515)) % 11.52/11.71 (step-pop @p517 :rule scope :premises (@p516)) % 11.52/11.71 (step-pop @p518 :rule scope :premises (@p517)) % 11.52/11.71 (step @p376 :rule process_scope :premises (@p518) :args (@t218)) % 11.52/11.71 (step @p381 :rule implies_elim :premises (@p376)) % 11.52/11.71 (step @p382 :rule cnf_and_neg :args (@t221)) % 11.52/11.71 (step @p383 :rule resolution :premises (@p382 @p381) :args (true @t221)) % 11.52/11.71 (step @p384 :rule eq_resolve :premises (@p383 @p349)) % 11.52/11.71 (step @p385 :rule reordering :premises (@p384) :args ((or @t160 @t219 @t220 @t173 @t218))) % 11.52/11.71 (step @p386 :rule instantiate :premises (@p191) :args (@t171)) % 11.52/11.71 (step @p387 :rule cnf_or_pos :args (@t223)) % 11.52/11.71 (step @p388 :rule reordering :premises (@p387) :args ((or @t172 @t217 @t222 (not @t223)))) % 11.52/11.71 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p385 @p188 @p343 @p284 @p249 @p223 @p187 @p211 @p209 @p208 @p206 @p184 @p199 @p197 @p184 @p196) :args (@t160 (@list false true false false false false false false true false false false false false false false true) (@list @t223 @t217 @t151 @t197 @t194 @t192 @t177 @t150 @t173 @t175 @t169 @t170 @t149 @t163 @t165 @t149 @t158))) % 11.52/11.71 (step @p390 :rule chain_m_resolution :premises (@p192 @p389) :args (@t158 (@list true) (@list @t157))) % 11.52/11.71 (step @p391 :rule instantiate :premises (@p76) :args (@t224)) % 11.52/11.71 (step @p392 :rule cnf_or_pos :args (@t228)) % 11.52/11.71 (step @p393 :rule reordering :premises (@p392) :args ((or @t157 @t227 @t226 (not @t228)))) % 11.52/11.71 (step @p394 :rule chain_m_resolution :premises (@p393 @p389 @p183 @p391) :args (@t226 (@list true false false) (@list @t157 @t148 @t228))) % 11.52/11.71 (assume-push @p519 @t49) % 11.52/11.71 (step @p396 :rule instantiate :premises (@p71) :args (@t229)) % 11.52/11.71 (step-pop @p520 :rule scope :premises (@p396)) % 11.52/11.71 (step @p397 :rule process_scope :premises (@p520) :args (@t233)) % 11.52/11.71 (step @p399 :rule implies_elim :premises (@p397)) % 11.52/11.71 (step @p400 :rule cnf_or_pos :args (@t233)) % 11.52/11.71 (step @p401 :rule reordering :premises (@p400) :args ((or @t230 @t232 (not @t233)))) % 11.52/11.71 (step @p402 :rule instantiate :premises (@p205) :args (@t224)) % 11.52/11.71 (step @p403 :rule cnf_or_pos :args (@t238)) % 11.52/11.71 (step @p404 :rule reordering :premises (@p403) :args ((or @t157 @t227 @t237 (not @t238)))) % 11.52/11.71 (step @p405 :rule refl :args (@t240)) % 11.52/11.71 (step @p406 :rule bool-double-not-elim :args (@t231)) % 11.52/11.71 (step @p407 :rule refl :args (@t159)) % 11.52/11.71 (step @p408 :rule refl :args (@t241)) % 11.52/11.71 (step @p409 :rule nary_cong :premises (@p408 @p407 @p406 @p405) :args ((or @t241 @t159 (not @t232) @t240))) % 11.52/11.71 (assume-push @p521 @t150) % 11.52/11.71 (assume-push @p522 @t158) % 11.52/11.71 (assume-push @p523 @t232) % 11.52/11.71 (assume-push @p524 @t232) % 11.52/11.71 (assume-push @p525 @t158) % 11.52/11.71 (assume-push @p526 @t150) % 11.52/11.71 (step @p416 :rule false_intro :premises (@p523)) % 11.52/11.71 (step @p417 :rule refl :args (@t225)) % 11.52/11.71 (step @p418 :rule symm :premises (@p522)) % 11.52/11.71 (step @p260 :rule symm :premises (@p187)) % 11.52/11.71 (step @p419 :rule trans :premises (@p260 @p418)) % 11.52/11.71 (step @p420 :rule cong :premises (@p419 @p417) :args (@t239)) % 11.52/11.71 (step @p421 :rule trans :premises (@p420 @p416)) % 11.52/11.71 (step @p422 :rule false_elim :premises (@p421)) % 11.52/11.71 (step-pop @p527 :rule scope :premises (@p422)) % 11.52/11.71 (step-pop @p528 :rule scope :premises (@p527)) % 11.52/11.71 (step-pop @p529 :rule scope :premises (@p528)) % 11.52/11.71 (step @p423 :rule process_scope :premises (@p529) :args (@t240)) % 11.52/11.71 (step @p427 :rule and_intro :premises (@p523 @p522 @p187)) % 11.52/11.71 (step @p428 :rule modus_ponens :premises (@p427 @p423)) % 11.52/11.71 (step-pop @p530 :rule scope :premises (@p428)) % 11.52/11.71 (step-pop @p531 :rule scope :premises (@p530)) % 11.52/11.71 (step-pop @p532 :rule scope :premises (@p531)) % 11.52/11.71 (step @p429 :rule process_scope :premises (@p532) :args (@t240)) % 11.52/11.71 (step @p433 :rule implies_elim :premises (@p429)) % 11.52/11.71 (step @p434 :rule cnf_and_neg :args (@t242)) % 11.52/11.71 (step @p435 :rule resolution :premises (@p434 @p433) :args (true @t242)) % 11.52/11.71 (step @p436 :rule eq_resolve :premises (@p435 @p409)) % 11.52/11.71 (step @p437 :rule reordering :premises (@p436) :args ((or @t159 @t241 @t231 @t240))) % 11.52/11.71 (step @p438 :rule instantiate :premises (@p217) :args (@t243)) % 11.52/11.71 (step @p439 :rule instantiate :premises (@p13) :args (@t224)) % 11.52/11.71 (step @p440 :rule instantiate :premises (@p12) :args (@t224)) % 11.52/11.71 (step @p441 :rule cnf_or_pos :args (@t249)) % 11.52/11.71 (step @p442 :rule reordering :premises (@p441) :args ((or @t248 @t246 @t244 (not @t249)))) % 11.52/11.71 (step @p443 :rule chain_m_resolution :premises (@p442 @p440 @p439 @p438) :args (@t244 @t183 (@list @t247 @t245 @t249))) % 11.52/11.71 (step @p444 :rule instantiate :premises (@p245) :args (@t243)) % 11.52/11.71 (step @p445 :rule cnf_or_pos :args (@t251)) % 11.52/11.71 (step @p446 :rule reordering :premises (@p445) :args ((or @t248 @t246 @t250 (not @t251)))) % 11.52/11.71 (step @p447 :rule chain_m_resolution :premises (@p446 @p440 @p439 @p444) :args (@t250 @t183 (@list @t247 @t245 @t251))) % 11.52/11.71 (assume-push @p533 @t151) % 11.52/11.71 (assume-push @p534 @t237) % 11.52/11.71 (assume-push @p535 @t244) % 11.52/11.71 (assume-push @p536 @t250) % 11.52/11.71 (assume-push @p537 @t250) % 11.52/11.71 (assume-push @p538 @t237) % 11.52/11.71 (assume-push @p539 @t151) % 11.52/11.71 (assume-push @p540 @t244) % 11.52/11.71 (step @p456 :rule true_intro :premises (@p447)) % 11.52/11.71 (step @p457 :rule refl :args (@t235)) % 11.52/11.71 (step @p363 :rule symm :premises (@p188)) % 11.52/11.71 (step @p458 :rule trans :premises (@p363 @p534)) % 11.52/11.71 (step @p459 :rule cong :premises (@p458 @p457) :args ((tptp.memberP tptp.sk3 @t235))) % 11.52/11.71 (step @p460 :rule symm :premises (@p443)) % 11.52/11.71 (step @p461 :rule cong :premises (@p534) :args (@t225)) % 11.52/11.71 (step @p462 :rule trans :premises (@p461 @p460)) % 11.52/11.71 (step @p463 :rule refl :args (tptp.sk3)) % 11.52/11.71 (step @p464 :rule cong :premises (@p463 @p462) :args (@t252)) % 11.52/11.71 (step @p465 :rule trans :premises (@p464 @p459 @p456)) % 11.52/11.71 (step @p466 :rule true_elim :premises (@p465)) % 11.52/11.71 (step-pop @p541 :rule scope :premises (@p466)) % 11.52/11.71 (step-pop @p542 :rule scope :premises (@p541)) % 11.52/11.71 (step-pop @p543 :rule scope :premises (@p542)) % 11.52/11.71 (step-pop @p544 :rule scope :premises (@p543)) % 11.52/11.71 (step @p467 :rule process_scope :premises (@p544) :args (@t252)) % 11.52/11.71 (step @p472 :rule and_intro :premises (@p447 @p534 @p188 @p443)) % 11.52/11.71 (step @p473 :rule modus_ponens :premises (@p472 @p467)) % 11.52/11.71 (step-pop @p545 :rule scope :premises (@p473)) % 11.52/11.71 (step-pop @p546 :rule scope :premises (@p545)) % 11.52/11.71 (step-pop @p547 :rule scope :premises (@p546)) % 11.52/11.71 (step-pop @p548 :rule scope :premises (@p547)) % 11.52/11.71 (step @p474 :rule process_scope :premises (@p548) :args (@t252)) % 11.52/11.71 (step @p479 :rule implies_elim :premises (@p474)) % 11.52/11.71 (step @p480 :rule cnf_and_neg :args (@t253)) % 11.52/11.71 (step @p481 :rule resolution :premises (@p480 @p479) :args (true @t253)) % 11.52/11.71 (step @p482 :rule instantiate :premises (@p190) :args (@t229)) % 11.52/11.71 (step @p483 :rule cnf_or_pos :args (@t255)) % 11.52/11.71 (step @p484 :rule reordering :premises (@p483) :args ((or @t230 @t239 @t254 (not @t255)))) % 11.52/11.71 (step @p485 :rule chain_m_resolution :premises (@p484 @p482 @p481 @p447 @p443 @p188 @p437 @p187 @p404 @p402 @p183 @p196 @p401 @p399 @p71) :args ((or @t159 @t230) (@list false false false false false true false false false false true true false false) (@list @t255 @t252 @t250 @t244 @t151 @t239 @t150 @t237 @t238 @t148 @t157 @t231 @t233 @t49))) % 11.52/11.71 (step @p486 false :rule chain_m_resolution :premises (@p485 @p394 @p390) :args (false (@list false false) (@list @t226 @t158))) % 11.52/11.71 ) % 11.52/11.75 % SZS output end Proof % 11.52/11.75 % cvc5 exiting %------------------------------------------------------------------------------