%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC113-1 : 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 : n015.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 08:58:06 AM UTC 2026 % Result : Unsatisfiable 13.50s 13.77s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC113-1 : 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 : n015.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 19:16:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 13.50/13.77 % SZS status Unsatisfiable % 13.50/13.77 % SZS output start Proof % 13.50/13.78 ( % 13.50/13.78 (declare-sort $$unsorted 0) % 13.50/13.78 (declare-const tptp.sk5 $$unsorted) % 13.50/13.78 (declare-const tptp.sk4 $$unsorted) % 13.50/13.78 (declare-const tptp.sk2 $$unsorted) % 13.50/13.78 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.nil $$unsorted) % 13.50/13.78 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.sk1 $$unsorted) % 13.50/13.78 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skac2 $$unsorted) % 13.50/13.78 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.sk3 $$unsorted) % 13.50/13.78 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.ssList (-> $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skac3 $$unsorted) % 13.50/13.78 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 13.50/13.78 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 13.50/13.78 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 13.50/13.78 (define @t1 () (tptp.ssList tptp.nil)) % 13.50/13.78 (define @t2 () (@var "U" $$unsorted)) % 13.50/13.78 (define @t3 () (tptp.skaf83 @t2)) % 13.50/13.78 (define @t4 () (@list @t2)) % 13.50/13.78 (define @t5 () (tptp.skaf82 @t2)) % 13.50/13.78 (define @t6 () (tptp.skaf81 @t2)) % 13.50/13.78 (define @t7 () (tptp.skaf80 @t2)) % 13.50/13.78 (define @t8 () (tptp.skaf79 @t2)) % 13.50/13.78 (define @t9 () (tptp.skaf78 @t2)) % 13.50/13.78 (define @t10 () (tptp.skaf77 @t2)) % 13.50/13.78 (define @t11 () (tptp.skaf76 @t2)) % 13.50/13.78 (define @t12 () (tptp.skaf75 @t2)) % 13.50/13.78 (define @t13 () (tptp.skaf74 @t2)) % 13.50/13.78 (define @t14 () (tptp.skaf73 @t2)) % 13.50/13.78 (define @t15 () (tptp.skaf72 @t2)) % 13.50/13.78 (define @t16 () (tptp.skaf71 @t2)) % 13.50/13.78 (define @t17 () (tptp.skaf70 @t2)) % 13.50/13.78 (define @t18 () (tptp.skaf69 @t2)) % 13.50/13.78 (define @t19 () (tptp.skaf68 @t2)) % 13.50/13.78 (define @t20 () (tptp.skaf67 @t2)) % 13.50/13.78 (define @t21 () (tptp.skaf66 @t2)) % 13.50/13.78 (define @t22 () (tptp.skaf65 @t2)) % 13.50/13.78 (define @t23 () (tptp.skaf64 @t2)) % 13.50/13.78 (define @t24 () (tptp.skaf63 @t2)) % 13.50/13.78 (define @t25 () (tptp.skaf62 @t2)) % 13.50/13.78 (define @t26 () (tptp.skaf61 @t2)) % 13.50/13.78 (define @t27 () (tptp.skaf60 @t2)) % 13.50/13.78 (define @t28 () (tptp.skaf59 @t2)) % 13.50/13.78 (define @t29 () (tptp.skaf58 @t2)) % 13.50/13.78 (define @t30 () (tptp.skaf57 @t2)) % 13.50/13.78 (define @t31 () (tptp.skaf56 @t2)) % 13.50/13.78 (define @t32 () (tptp.skaf55 @t2)) % 13.50/13.78 (define @t33 () (tptp.skaf54 @t2)) % 13.50/13.78 (define @t34 () (tptp.skaf53 @t2)) % 13.50/13.78 (define @t35 () (tptp.skaf52 @t2)) % 13.50/13.78 (define @t36 () (tptp.skaf51 @t2)) % 13.50/13.78 (define @t37 () (tptp.skaf50 @t2)) % 13.50/13.78 (define @t38 () (tptp.skaf49 @t2)) % 13.50/13.78 (define @t39 () (tptp.skaf44 @t2)) % 13.50/13.78 (define @t40 () (@var "V" $$unsorted)) % 13.50/13.78 (define @t41 () (@list @t2 @t40)) % 13.50/13.78 (define @t42 () (tptp.skaf47 @t2 @t40)) % 13.50/13.78 (define @t43 () (tptp.skaf46 @t2 @t40)) % 13.50/13.78 (define @t44 () (tptp.skaf45 @t2 @t40)) % 13.50/13.78 (define @t45 () (tptp.skaf42 @t2 @t40)) % 13.50/13.78 (define @t46 () (not (tptp.ssItem @t2))) % 13.50/13.78 (define @t47 () (not (tptp.ssList @t2))) % 13.50/13.78 (define @t48 () (tptp.cons @t2 tptp.nil)) % 13.50/13.78 (define @t49 () (tptp.ssItem @t40)) % 13.50/13.78 (define @t50 () (tptp.duplicatefreeP @t2)) % 13.50/13.78 (define @t51 () (= tptp.nil @t2)) % 13.50/13.78 (define @t52 () (tptp.tl @t2)) % 13.50/13.78 (define @t53 () (tptp.hd @t2)) % 13.50/13.78 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 13.50/13.78 (define @t55 () (not @t51)) % 13.50/13.78 (define @t56 () (or @t55 @t47 @t54)) % 13.50/13.78 (define @t57 () (forall @t4 @t56)) % 13.50/13.78 (define @t58 () (tptp.rearsegP tptp.nil @t2)) % 13.50/13.78 (define @t59 () (tptp.frontsegP tptp.nil @t2)) % 13.50/13.78 (define @t60 () (tptp.app @t40 @t2)) % 13.50/13.78 (define @t61 () (not (tptp.ssList @t40))) % 13.50/13.78 (define @t62 () (tptp.cons @t2 @t40)) % 13.50/13.78 (define @t63 () (tptp.cyclefreeP @t2)) % 13.50/13.78 (define @t64 () (tptp.equalelemsP @t2)) % 13.50/13.78 (define @t65 () (tptp.strictorderedP @t2)) % 13.50/13.78 (define @t66 () (tptp.totalorderedP @t2)) % 13.50/13.78 (define @t67 () (tptp.strictorderP @t2)) % 13.50/13.78 (define @t68 () (tptp.totalorderP @t2)) % 13.50/13.78 (define @t69 () (not (= @t62 tptp.nil))) % 13.50/13.78 (define @t70 () (or @t69 @t46 @t61)) % 13.50/13.78 (define @t71 () (forall @t41 @t70)) % 13.50/13.78 (define @t72 () (= @t40 @t2)) % 13.50/13.78 (define @t73 () (tptp.neq @t40 @t2)) % 13.50/13.78 (define @t74 () (or @t47 @t61 @t73 @t72)) % 13.50/13.78 (define @t75 () (forall @t41 @t74)) % 13.50/13.78 (define @t76 () (not @t49)) % 13.50/13.78 (define @t77 () (tptp.leq @t2 @t40)) % 13.50/13.78 (define @t78 () (tptp.lt @t2 @t40)) % 13.50/13.78 (define @t79 () (not @t78)) % 13.50/13.78 (define @t80 () (tptp.lt @t40 @t2)) % 13.50/13.78 (define @t81 () (not (tptp.gt @t2 @t40))) % 13.50/13.78 (define @t82 () (tptp.gt @t40 @t2)) % 13.50/13.78 (define @t83 () (tptp.leq @t40 @t2)) % 13.50/13.78 (define @t84 () (not (tptp.geq @t2 @t40))) % 13.50/13.78 (define @t85 () (tptp.geq @t40 @t2)) % 13.50/13.78 (define @t86 () (not @t77)) % 13.50/13.78 (define @t87 () (= @t2 @t40)) % 13.50/13.78 (define @t88 () (not @t87)) % 13.50/13.78 (define @t89 () (tptp.cons @t40 @t2)) % 13.50/13.78 (define @t90 () (not (tptp.neq @t2 @t40))) % 13.50/13.78 (define @t91 () (or @t88 @t90 @t61 @t47)) % 13.50/13.78 (define @t92 () (forall @t41 @t91)) % 13.50/13.78 (define @t93 () (tptp.app @t2 @t40)) % 13.50/13.78 (define @t94 () (= @t93 tptp.nil)) % 13.50/13.78 (define @t95 () (not @t94)) % 13.50/13.78 (define @t96 () (= tptp.nil @t40)) % 13.50/13.78 (define @t97 () (tptp.app @t48 @t40)) % 13.50/13.78 (define @t98 () (or @t46 @t61 (= @t97 @t62))) % 13.50/13.78 (define @t99 () (forall @t41 @t98)) % 13.50/13.78 (define @t100 () (tptp.hd @t40)) % 13.50/13.78 (define @t101 () (tptp.strictorderedP @t40)) % 13.50/13.78 (define @t102 () (tptp.strictorderedP @t62)) % 13.50/13.78 (define @t103 () (not @t102)) % 13.50/13.78 (define @t104 () (tptp.totalorderedP @t40)) % 13.50/13.78 (define @t105 () (tptp.totalorderedP @t62)) % 13.50/13.78 (define @t106 () (not @t105)) % 13.50/13.78 (define @t107 () (not (tptp.segmentP @t2 @t40))) % 13.50/13.78 (define @t108 () (not (tptp.rearsegP @t2 @t40))) % 13.50/13.78 (define @t109 () (not (tptp.frontsegP @t2 @t40))) % 13.50/13.78 (define @t110 () (not @t83)) % 13.50/13.78 (define @t111 () (tptp.tl @t40)) % 13.50/13.78 (define @t112 () (tptp.lt @t2 @t100)) % 13.50/13.78 (define @t113 () (tptp.leq @t2 @t100)) % 13.50/13.78 (define @t114 () (@var "W" $$unsorted)) % 13.50/13.78 (define @t115 () (tptp.app @t114 @t2)) % 13.50/13.78 (define @t116 () (not (tptp.ssList @t114))) % 13.50/13.78 (define @t117 () (@list @t2 @t40 @t114)) % 13.50/13.78 (define @t118 () (tptp.app @t2 @t114)) % 13.50/13.78 (define @t119 () (tptp.cons @t40 @t114)) % 13.50/13.78 (define @t120 () (tptp.cons @t114 @t2)) % 13.50/13.78 (define @t121 () (not (tptp.ssItem @t114))) % 13.50/13.78 (define @t122 () (not (tptp.memberP @t2 @t40))) % 13.50/13.78 (define @t123 () (not (= @t93 @t114))) % 13.50/13.78 (define @t124 () (not @t96)) % 13.50/13.78 (define @t125 () (or @t55 @t124 @t61 @t47 @t94)) % 13.50/13.78 (define @t126 () (forall @t41 @t125)) % 13.50/13.78 (define @t127 () (tptp.lt @t2 @t114)) % 13.50/13.78 (define @t128 () (not (tptp.lt @t40 @t114))) % 13.50/13.78 (define @t129 () (tptp.app @t114 @t40)) % 13.50/13.78 (define @t130 () (= @t40 @t114)) % 13.50/13.78 (define @t131 () (= @t2 @t114)) % 13.50/13.78 (define @t132 () (tptp.memberP @t40 @t114)) % 13.50/13.78 (define @t133 () (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2))) % 13.50/13.78 (define @t134 () (or @t107 @t61 @t47 (= @t133 @t2))) % 13.50/13.78 (define @t135 () (forall @t41 @t134)) % 13.50/13.78 (define @t136 () (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2)))) % 13.50/13.78 (define @t137 () (or @t122 @t76 @t47 (= @t136 @t2))) % 13.50/13.78 (define @t138 () (forall @t41 @t137)) % 13.50/13.78 (define @t139 () (@var "X" $$unsorted)) % 13.50/13.78 (define @t140 () (not (tptp.ssList @t139))) % 13.50/13.78 (define @t141 () (tptp.cons @t114 @t139)) % 13.50/13.78 (define @t142 () (not (= @t62 @t141))) % 13.50/13.78 (define @t143 () (@list @t2 @t40 @t114 @t139)) % 13.50/13.78 (define @t144 () (not (tptp.frontsegP @t62 @t141))) % 13.50/13.78 (define @t145 () (tptp.app @t2 @t119)) % 13.50/13.78 (define @t146 () (not (tptp.ssItem @t139))) % 13.50/13.78 (define @t147 () (@var "Y" $$unsorted)) % 13.50/13.78 (define @t148 () (not (tptp.ssList @t147))) % 13.50/13.78 (define @t149 () (@list @t2 @t40 @t114 @t139 @t147)) % 13.50/13.78 (define @t150 () (tptp.lt @t40 @t139)) % 13.50/13.78 (define @t151 () (@var "Z" $$unsorted)) % 13.50/13.78 (define @t152 () (not (tptp.ssList @t151))) % 13.50/13.78 (define @t153 () (not (= (tptp.app @t145 (tptp.cons @t139 @t147)) @t151))) % 13.50/13.78 (define @t154 () (@list @t2 @t40 @t114 @t139 @t147 @t151)) % 13.50/13.78 (define @t155 () (tptp.leq @t40 @t139)) % 13.50/13.78 (define @t156 () (tptp.ssList tptp.sk1)) % 13.50/13.78 (define @t157 () (tptp.ssList tptp.sk4)) % 13.50/13.78 (define @t158 () (= tptp.sk2 tptp.sk4)) % 13.50/13.78 (define @t159 () (= tptp.sk1 tptp.sk3)) % 13.50/13.78 (define @t160 () (= tptp.nil tptp.sk4)) % 13.50/13.78 (define @t161 () (tptp.ssItem tptp.sk5)) % 13.50/13.78 (define @t162 () (= tptp.nil tptp.sk3)) % 13.50/13.78 (define @t163 () (tptp.cons tptp.sk5 tptp.nil)) % 13.50/13.78 (define @t164 () (= @t163 tptp.sk3)) % 13.50/13.78 (define @t165 () (or @t164 @t160)) % 13.50/13.78 (define @t166 () (tptp.memberP tptp.sk4 tptp.sk5)) % 13.50/13.78 (define @t167 () (or @t164 @t162)) % 13.50/13.78 (define @t168 () (tptp.neq tptp.sk2 tptp.nil)) % 13.50/13.78 (define @t169 () (= tptp.nil tptp.sk2)) % 13.50/13.78 (define @t170 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 13.50/13.78 (define @t171 () (not @t170)) % 13.50/13.78 (define @t172 () (tptp.neq tptp.sk1 tptp.nil)) % 13.50/13.78 (define @t173 () (not @t172)) % 13.50/13.78 (define @t174 () (= tptp.nil tptp.sk1)) % 13.50/13.78 (define @t175 () (not @t174)) % 13.50/13.78 (define @t176 () (= tptp.nil (tptp.app tptp.nil tptp.nil))) % 13.50/13.78 (define @t177 () (not @t1)) % 13.50/13.78 (define @t178 () (or @t177 @t176)) % 13.50/13.78 (define @t179 () (not (= tptp.nil tptp.nil))) % 13.50/13.78 (define @t180 () (or @t179 @t177 @t176)) % 13.50/13.78 (define @t181 () (= tptp.nil (tptp.app tptp.nil @t40))) % 13.50/13.78 (define @t182 () (@list @t40)) % 13.50/13.78 (define @t183 () (or @t124 @t124 @t61 @t181)) % 13.50/13.78 (define @t184 () (or @t124 @t61 @t181)) % 13.50/13.78 (define @t185 () (forall @t182 @t184)) % 13.50/13.78 (define @t186 () (or @t177 @t185)) % 13.50/13.78 (define @t187 () (or @t177 @t184)) % 13.50/13.78 (define @t188 () (or @t124 @t61 @t177 @t181)) % 13.50/13.78 (define @t189 () (or @t179 @t124 @t61 @t177 @t181)) % 13.50/13.78 (define @t190 () (= tptp.nil @t93)) % 13.50/13.78 (define @t191 () (not (= @t2 tptp.nil))) % 13.50/13.78 (define @t192 () (or @t55 @t55 @t124 @t61 @t47 @t190)) % 13.50/13.78 (define @t193 () (or @t55 @t124 @t61 @t47 @t190)) % 13.50/13.78 (define @t194 () (forall @t4 @t193)) % 13.50/13.78 (define @t195 () (forall @t182 @t194)) % 13.50/13.78 (define @t196 () (@list @t40 @t2)) % 13.50/13.78 (define @t197 () (forall @t196 @t193)) % 13.50/13.78 (define @t198 () (@list false)) % 13.50/13.78 (define @t199 () (@list @t1)) % 13.50/13.78 (define @t200 () (tptp.segmentP tptp.nil tptp.nil)) % 13.50/13.78 (define @t201 () (or @t179 @t177 @t200)) % 13.50/13.78 (define @t202 () (or @t55 @t55 @t47 @t54)) % 13.50/13.78 (define @t203 () (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) % 13.50/13.78 (define @t204 () (= tptp.nil @t203)) % 13.50/13.78 (define @t205 () (not @t200)) % 13.50/13.78 (define @t206 () (or @t205 @t177 @t177 @t204)) % 13.50/13.78 (define @t207 () (@list false false false)) % 13.50/13.78 (define @t208 () (and @t159 @t162)) % 13.50/13.78 (define @t209 () (not @t162)) % 13.50/13.78 (define @t210 () (not @t159)) % 13.50/13.78 (define @t211 () (not (tptp.neq @t40 @t40))) % 13.50/13.78 (define @t212 () (not (= @t40 @t40))) % 13.50/13.78 (define @t213 () (or @t212 @t211 @t61 @t61)) % 13.50/13.78 (define @t214 () (or @t88 @t88 @t90 @t61 @t47)) % 13.50/13.78 (define @t215 () (forall @t4 @t91)) % 13.50/13.78 (define @t216 () (forall @t182 @t215)) % 13.50/13.78 (define @t217 () (forall @t196 @t91)) % 13.50/13.78 (define @t218 () (@list tptp.sk1)) % 13.50/13.78 (define @t219 () (not @t156)) % 13.50/13.78 (define @t220 () (tptp.neq tptp.sk1 tptp.sk1)) % 13.50/13.78 (define @t221 () (not @t220)) % 13.50/13.78 (define @t222 () (or @t221 @t219)) % 13.50/13.78 (define @t223 () (@list false false)) % 13.50/13.78 (define @t224 () (not @t168)) % 13.50/13.78 (define @t225 () (not @t160)) % 13.50/13.78 (define @t226 () (not @t158)) % 13.50/13.78 (define @t227 () (and @t158 @t159 @t160 @t162 @t221)) % 13.50/13.78 (define @t228 () (tptp.app @t163 tptp.nil)) % 13.50/13.78 (define @t229 () (= @t163 @t228)) % 13.50/13.78 (define @t230 () (not @t161)) % 13.50/13.78 (define @t231 () (or @t230 @t177 @t229)) % 13.50/13.78 (define @t232 () (@list tptp.sk5 tptp.sk1)) % 13.50/13.78 (define @t233 () (tptp.cons tptp.sk5 tptp.sk1)) % 13.50/13.78 (define @t234 () (= tptp.nil @t233)) % 13.50/13.78 (define @t235 () (not @t234)) % 13.50/13.78 (define @t236 () (or @t235 @t230 @t219)) % 13.50/13.78 (define @t237 () (tptp.app @t163 tptp.sk1)) % 13.50/13.78 (define @t238 () (= @t233 @t237)) % 13.50/13.78 (define @t239 () (or @t230 @t219 @t238)) % 13.50/13.78 (define @t240 () (= tptp.sk3 @t163)) % 13.50/13.78 (define @t241 () (@list tptp.sk4 tptp.sk5)) % 13.50/13.78 (define @t242 () (tptp.skaf43 tptp.sk5 tptp.sk4)) % 13.50/13.78 (define @t243 () (tptp.cons tptp.sk5 @t242)) % 13.50/13.78 (define @t244 () (tptp.skaf42 tptp.sk4 tptp.sk5)) % 13.50/13.78 (define @t245 () (tptp.app @t244 @t243)) % 13.50/13.78 (define @t246 () (= tptp.sk4 @t245)) % 13.50/13.78 (define @t247 () (not @t157)) % 13.50/13.78 (define @t248 () (not @t166)) % 13.50/13.78 (define @t249 () (or @t248 @t230 @t247 @t246)) % 13.50/13.78 (define @t250 () (tptp.memberP tptp.nil tptp.sk5)) % 13.50/13.78 (define @t251 () (not @t250)) % 13.50/13.78 (define @t252 () (or @t251 @t230)) % 13.50/13.78 (define @t253 () (not @t169)) % 13.50/13.78 (define @t254 () (and @t158 @t169 @t251)) % 13.50/13.78 (define @t255 () (and @t159 @t209)) % 13.50/13.78 (define @t256 () (tptp.ssList @t163)) % 13.50/13.78 (define @t257 () (and @t156 @t159 @t240)) % 13.50/13.78 (define @t258 () (tptp.segmentP tptp.sk1 tptp.sk1)) % 13.50/13.78 (define @t259 () (or @t219 @t258)) % 13.50/13.78 (define @t260 () (tptp.segmentP @t163 tptp.sk1)) % 13.50/13.78 (define @t261 () (and @t159 @t240 @t258)) % 13.50/13.78 (define @t262 () (or @t177 @t219 @t172 @t174)) % 13.50/13.78 (define @t263 () (tptp.app @t163 @t242)) % 13.50/13.78 (define @t264 () (tptp.app (tptp.app @t244 @t163) @t242)) % 13.50/13.78 (define @t265 () (= @t264 (tptp.app @t244 @t263))) % 13.50/13.78 (define @t266 () (tptp.ssList @t244)) % 13.50/13.78 (define @t267 () (not @t266)) % 13.50/13.78 (define @t268 () (not @t256)) % 13.50/13.78 (define @t269 () (tptp.ssList @t242)) % 13.50/13.78 (define @t270 () (not @t269)) % 13.50/13.78 (define @t271 () (or @t270 @t268 @t267 @t265)) % 13.50/13.78 (define @t272 () (tptp.segmentP @t264 tptp.sk1)) % 13.50/13.78 (define @t273 () (not @t260)) % 13.50/13.78 (define @t274 () (or @t273 @t270 @t267 @t219 @t268 @t272)) % 13.50/13.78 (define @t275 () (= @t243 @t263)) % 13.50/13.78 (define @t276 () (or @t230 @t270 @t275)) % 13.50/13.78 (define @t277 () (and @t158 @t246 @t275 @t265 @t272)) % 13.50/13.78 (define @t278 () (not @t238)) % 13.50/13.78 (define @t279 () (not @t204)) % 13.50/13.78 (define @t280 () (not @t229)) % 13.50/13.78 (define @t281 () (not @t240)) % 13.50/13.78 (define @t282 () (not @t176)) % 13.50/13.78 (define @t283 () (= @t228 @t237)) % 13.50/13.78 (define @t284 () (and @t176 @t162 @t240 @t229 @t283 @t238 @t235)) % 13.50/13.78 (assume @p1 (tptp.equalelemsP tptp.nil)) % 13.50/13.78 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 13.50/13.78 (assume @p3 (tptp.strictorderedP tptp.nil)) % 13.50/13.78 (assume @p4 (tptp.totalorderedP tptp.nil)) % 13.50/13.78 (assume @p5 (tptp.strictorderP tptp.nil)) % 13.50/13.78 (assume @p6 (tptp.totalorderP tptp.nil)) % 13.50/13.78 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 13.50/13.78 (assume @p8 @t1) % 13.50/13.78 (assume @p9 (tptp.ssItem tptp.skac3)) % 13.50/13.78 (assume @p10 (tptp.ssItem tptp.skac2)) % 13.50/13.78 (assume @p11 (not (tptp.singletonP tptp.nil))) % 13.50/13.78 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 13.50/13.78 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 13.50/13.78 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 13.50/13.78 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 13.50/13.78 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 13.50/13.78 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 13.50/13.78 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 13.50/13.78 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 13.50/13.78 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 13.50/13.78 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 13.50/13.78 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 13.50/13.78 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 13.50/13.78 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 13.50/13.78 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 13.50/13.78 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 13.50/13.78 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 13.50/13.78 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 13.50/13.78 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 13.50/13.78 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 13.50/13.78 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 13.50/13.78 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 13.50/13.78 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 13.50/13.78 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 13.50/13.78 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 13.50/13.78 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 13.50/13.78 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 13.50/13.78 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 13.50/13.78 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 13.50/13.78 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 13.50/13.78 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 13.50/13.78 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 13.50/13.78 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 13.50/13.78 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 13.50/13.78 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 13.50/13.78 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 13.50/13.78 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 13.50/13.78 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 13.50/13.78 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 13.50/13.78 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 13.50/13.78 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 13.50/13.78 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 13.50/13.78 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 13.50/13.78 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 13.50/13.78 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 13.50/13.78 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 13.50/13.78 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 13.50/13.78 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 13.50/13.78 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 13.50/13.78 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 13.50/13.78 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 13.50/13.78 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 13.50/13.78 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 13.50/13.78 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 13.50/13.78 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 13.50/13.78 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 13.50/13.78 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 13.50/13.78 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 13.50/13.78 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 13.50/13.78 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 13.50/13.78 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 13.50/13.78 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 13.50/13.78 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 13.50/13.78 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 13.50/13.78 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 13.50/13.78 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 13.50/13.78 (assume @p77 @t57) % 13.50/13.78 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 13.50/13.78 (assume @p79 (forall @t4 (or @t55 @t47 @t58))) % 13.50/13.78 (assume @p80 (forall @t4 (or (not @t58) @t47 @t51))) % 13.50/13.78 (assume @p81 (forall @t4 (or @t55 @t47 @t59))) % 13.50/13.78 (assume @p82 (forall @t4 (or (not @t59) @t47 @t51))) % 13.50/13.78 (assume @p83 (forall @t41 (or @t47 @t61 (tptp.ssList @t60)))) % 13.50/13.78 (assume @p84 (forall @t41 (or @t46 @t61 (tptp.ssList @t62)))) % 13.50/13.78 (assume @p85 (forall @t4 (or @t47 @t63 (tptp.leq @t37 @t38)))) % 13.50/13.78 (assume @p86 (forall @t4 (or @t47 @t63 (tptp.leq @t38 @t37)))) % 13.50/13.78 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t64))) % 13.50/13.78 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t65))) % 13.50/13.78 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t66))) % 13.50/13.78 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t67))) % 13.50/13.78 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t67))) % 13.50/13.78 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t68))) % 13.50/13.78 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t68))) % 13.50/13.78 (assume @p94 (forall @t41 (or @t46 @t61 (= (tptp.tl @t62) @t40)))) % 13.50/13.78 (assume @p95 (forall @t41 (or @t46 @t61 (= (tptp.hd @t62) @t2)))) % 13.50/13.78 (assume @p96 @t71) % 13.50/13.78 (assume @p97 (forall @t41 (or (not (= @t62 @t40)) @t46 @t61))) % 13.50/13.78 (assume @p98 @t75) % 13.50/13.78 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 13.50/13.78 (assume @p100 (forall @t41 (or @t46 @t76 @t73 @t72))) % 13.50/13.78 (assume @p101 (forall @t41 (or @t79 @t76 @t46 @t77))) % 13.50/13.78 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 13.50/13.78 (assume @p103 (forall @t41 (or @t81 @t76 @t46 @t80))) % 13.50/13.78 (assume @p104 (forall @t41 (or @t79 @t46 @t76 @t82))) % 13.50/13.78 (assume @p105 (forall @t41 (or @t84 @t76 @t46 @t83))) % 13.50/13.78 (assume @p106 (forall @t41 (or @t86 @t46 @t76 @t85))) % 13.50/13.78 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 13.50/13.78 (assume @p108 (forall @t41 (or @t81 (not @t82) @t46 @t76))) % 13.50/13.78 (assume @p109 (forall @t41 (or @t88 @t79 @t76 @t46))) % 13.50/13.78 (assume @p110 (forall @t41 (or @t55 @t47 @t76 (tptp.strictorderedP @t89)))) % 13.50/13.78 (assume @p111 (forall @t41 (or @t55 @t47 @t76 (tptp.totalorderedP @t89)))) % 13.50/13.78 (assume @p112 (forall @t41 (or @t79 (not @t80) @t46 @t76))) % 13.50/13.78 (assume @p113 @t92) % 13.50/13.78 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t61 (tptp.singletonP @t40)))) % 13.50/13.78 (assume @p115 (forall @t41 (or @t88 @t90 @t76 @t46))) % 13.50/13.78 (assume @p116 (forall @t41 (or @t95 @t61 @t47 @t51))) % 13.50/13.78 (assume @p117 (forall @t41 (or @t95 @t61 @t47 @t96))) % 13.50/13.78 (assume @p118 @t99) % 13.50/13.78 (assume @p119 (forall @t41 (or @t86 @t76 @t46 @t78 @t87))) % 13.50/13.78 (assume @p120 (forall @t41 (or @t47 @t61 @t96 (= (tptp.hd @t60) @t100)))) % 13.50/13.78 (assume @p121 (forall @t41 (or @t103 @t61 @t46 @t101 @t96))) % 13.50/13.78 (assume @p122 (forall @t41 (or @t106 @t61 @t46 @t104 @t96))) % 13.50/13.78 (assume @p123 (forall @t41 (or @t84 (not @t85) @t46 @t76 @t72))) % 13.50/13.78 (assume @p124 (forall @t41 (or @t107 (not (tptp.segmentP @t40 @t2)) @t47 @t61 @t72))) % 13.50/13.78 (assume @p125 (forall @t41 (or @t108 (not (tptp.rearsegP @t40 @t2)) @t47 @t61 @t72))) % 13.50/13.78 (assume @p126 (forall @t41 (or @t109 (not (tptp.frontsegP @t40 @t2)) @t47 @t61 @t72))) % 13.50/13.78 (assume @p127 (forall @t41 (or @t86 @t110 @t46 @t76 @t72))) % 13.50/13.78 (assume @p128 (forall @t41 (or @t108 @t61 @t47 (= (tptp.app @t43 @t40) @t2)))) % 13.50/13.78 (assume @p129 (forall @t41 (or @t109 @t61 @t47 (= (tptp.app @t40 @t44) @t2)))) % 13.50/13.78 (assume @p130 (forall @t41 (or @t47 @t61 @t96 (= (tptp.tl @t60) (tptp.app @t111 @t2))))) % 13.50/13.78 (assume @p131 (forall @t41 (or @t103 @t61 @t46 @t112 @t96))) % 13.50/13.78 (assume @p132 (forall @t41 (or @t106 @t61 @t46 @t113 @t96))) % 13.50/13.78 (assume @p133 (forall @t117 (or @t108 @t116 @t61 @t47 (tptp.rearsegP @t115 @t40)))) % 13.50/13.78 (assume @p134 (forall @t117 (or @t109 @t116 @t61 @t47 (tptp.frontsegP @t118 @t40)))) % 13.50/13.78 (assume @p135 (forall @t117 (or @t88 @t116 @t76 @t46 (tptp.memberP @t119 @t2)))) % 13.50/13.78 (assume @p136 (forall @t117 (or @t122 @t47 @t121 @t76 (tptp.memberP @t120 @t40)))) % 13.50/13.78 (assume @p137 (forall @t117 (or @t122 @t116 @t47 @t76 (tptp.memberP @t118 @t40)))) % 13.50/13.78 (assume @p138 (forall @t117 (or @t122 @t47 @t116 @t76 (tptp.memberP @t115 @t40)))) % 13.50/13.78 (assume @p139 (forall @t4 (or @t47 @t64 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 13.50/13.78 (assume @p140 (forall @t117 (or @t123 @t47 @t61 @t116 (tptp.rearsegP @t114 @t40)))) % 13.50/13.78 (assume @p141 (forall @t117 (or @t123 @t61 @t47 @t116 (tptp.frontsegP @t114 @t2)))) % 13.50/13.78 (assume @p142 @t126) % 13.50/13.78 (assume @p143 (forall @t117 (or @t81 (not (tptp.gt @t40 @t114)) @t121 @t76 @t46 (tptp.gt @t2 @t114)))) % 13.50/13.78 (assume @p144 (forall @t117 (or @t86 @t128 @t121 @t76 @t46 @t127))) % 13.50/13.78 (assume @p145 (forall @t117 (or @t84 (not (tptp.geq @t40 @t114)) @t121 @t76 @t46 (tptp.geq @t2 @t114)))) % 13.50/13.78 (assume @p146 (forall @t117 (or @t47 @t61 @t116 (= (tptp.app @t129 @t2) (tptp.app @t114 @t60))))) % 13.50/13.78 (assume @p147 (forall @t117 (or (not (= @t93 @t118)) @t61 @t47 @t116 @t130))) % 13.50/13.78 (assume @p148 (forall @t117 (or (not (= @t93 @t129)) @t47 @t61 @t116 @t131))) % 13.50/13.78 (assume @p149 (forall @t117 (or @t107 (not (tptp.segmentP @t40 @t114)) @t116 @t61 @t47 (tptp.segmentP @t2 @t114)))) % 13.50/13.78 (assume @p150 (forall @t117 (or @t108 (not (tptp.rearsegP @t40 @t114)) @t116 @t61 @t47 (tptp.rearsegP @t2 @t114)))) % 13.50/13.78 (assume @p151 (forall @t117 (or @t109 (not (tptp.frontsegP @t40 @t114)) @t116 @t61 @t47 (tptp.frontsegP @t2 @t114)))) % 13.50/13.78 (assume @p152 (forall @t117 (or @t79 @t128 @t121 @t76 @t46 @t127))) % 13.50/13.78 (assume @p153 (forall @t117 (or @t86 (not (tptp.leq @t40 @t114)) @t121 @t76 @t46 (tptp.leq @t2 @t114)))) % 13.50/13.78 (assume @p154 (forall @t117 (or @t46 @t61 @t116 (= (tptp.cons @t2 (tptp.app @t40 @t114)) (tptp.app @t62 @t114))))) % 13.50/13.78 (assume @p155 (forall @t117 (or (not (tptp.memberP @t93 @t114)) @t61 @t47 @t121 @t132 (tptp.memberP @t2 @t114)))) % 13.50/13.78 (assume @p156 (forall @t41 (or (not @t113) (not @t104) @t61 @t46 @t105 @t96))) % 13.50/13.78 (assume @p157 (forall @t41 (or (not @t112) (not @t101) @t61 @t46 @t102 @t96))) % 13.50/13.78 (assume @p158 (forall @t117 (or (not (tptp.memberP @t62 @t114)) @t61 @t46 @t121 @t132 (= @t114 @t2)))) % 13.50/13.78 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 13.50/13.78 (assume @p160 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 13.50/13.78 (assume @p161 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 13.50/13.78 (assume @p162 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 13.50/13.78 (assume @p163 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 13.50/13.78 (assume @p164 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 13.50/13.78 (assume @p165 @t135) % 13.50/13.78 (assume @p166 @t138) % 13.50/13.78 (assume @p167 (forall @t143 (or @t142 @t121 @t46 @t140 @t61 @t131))) % 13.50/13.78 (assume @p168 (forall @t143 (or @t142 @t121 @t46 @t140 @t61 (= @t139 @t40)))) % 13.50/13.78 (assume @p169 (forall @t143 (or @t107 @t116 @t140 @t61 @t47 (tptp.segmentP (tptp.app (tptp.app @t139 @t2) @t114) @t40)))) % 13.50/13.78 (assume @p170 (forall @t143 (or (not (= (tptp.app @t93 @t114) @t139)) @t116 @t47 @t61 @t140 (tptp.segmentP @t139 @t40)))) % 13.50/13.78 (assume @p171 (forall @t143 (or @t144 @t140 @t61 @t121 @t46 (tptp.frontsegP @t40 @t139)))) % 13.50/13.78 (assume @p172 (forall @t143 (or (not (= @t145 @t139)) @t116 @t47 @t76 @t140 (tptp.memberP @t139 @t40)))) % 13.50/13.78 (assume @p173 (forall @t143 (or @t144 @t140 @t61 @t121 @t46 @t131))) % 13.50/13.78 (assume @p174 (forall @t41 (or (not (= @t52 @t111)) (not (= @t53 @t100)) @t47 @t61 @t96 @t87 @t51))) % 13.50/13.78 (assume @p175 (forall @t143 (or @t109 (not (= @t114 @t139)) @t61 @t47 @t146 @t121 (tptp.frontsegP @t120 (tptp.cons @t139 @t40))))) % 13.50/13.78 (assume @p176 (forall @t149 (or (not (= (tptp.app @t145 (tptp.cons @t40 @t139)) @t147)) @t140 @t116 @t47 @t76 (not (tptp.duplicatefreeP @t147)) @t148))) % 13.50/13.78 (assume @p177 (forall @t149 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t141)) @t147)) @t140 @t47 @t121 @t76 (not (tptp.equalelemsP @t147)) @t148 @t130))) % 13.50/13.78 (assume @p178 (forall @t154 (or @t153 @t148 @t116 @t47 @t146 @t76 (not (tptp.strictorderedP @t151)) @t152 @t150))) % 13.50/13.78 (assume @p179 (forall @t154 (or @t153 @t148 @t116 @t47 @t146 @t76 (not (tptp.totalorderedP @t151)) @t152 @t155))) % 13.50/13.78 (assume @p180 (forall @t154 (or @t153 @t148 @t116 @t47 @t146 @t76 (not (tptp.strictorderP @t151)) @t152 @t150 (tptp.lt @t139 @t40)))) % 13.50/13.78 (assume @p181 (forall @t154 (or @t153 @t148 @t116 @t47 @t146 @t76 (not (tptp.totalorderP @t151)) @t152 @t155 (tptp.leq @t139 @t40)))) % 13.50/13.78 (assume @p182 (forall @t154 (or @t86 @t110 (not (= (tptp.app (tptp.app @t114 (tptp.cons @t2 @t139)) (tptp.cons @t40 @t147)) @t151)) @t148 @t140 @t116 @t76 @t46 (not (tptp.cyclefreeP @t151)) @t152))) % 13.50/13.78 (assume @p183 @t156) % 13.50/13.78 (assume @p184 (tptp.ssList tptp.sk2)) % 13.50/13.78 (assume @p185 (tptp.ssList tptp.sk3)) % 13.50/13.78 (assume @p186 @t157) % 13.50/13.78 (assume @p187 @t158) % 13.50/13.78 (assume @p188 @t159) % 13.50/13.78 (assume @p189 (or @t161 @t160)) % 13.50/13.78 (assume @p190 (or @t161 @t162)) % 13.50/13.78 (assume @p191 @t165) % 13.50/13.78 (assume @p192 (or @t166 @t160)) % 13.50/13.78 (assume @p193 @t167) % 13.50/13.78 (assume @p194 (or @t166 @t162)) % 13.50/13.78 (assume @p195 (or @t169 @t168)) % 13.50/13.78 (assume @p196 (or @t169 @t173 @t171)) % 13.50/13.78 (assume @p197 (or @t175 @t168)) % 13.50/13.78 (assume @p198 (or @t175 @t173 @t171)) % 13.50/13.78 (step @p199 :rule aci_norm :args ((= (or @t177 @t178) @t178))) % 13.50/13.78 (step @p200 :rule aci_norm :args ((= (or false @t177 @t176) @t178))) % 13.50/13.78 (step @p201 :rule refl :args (@t176)) % 13.50/13.78 (step @p202 :rule refl :args (@t177)) % 13.50/13.78 (step @p203 :rule evaluate :args ((not true))) % 13.50/13.78 (step @p204 :rule eq-refl :args (tptp.nil)) % 13.50/13.78 (step @p205 :rule cong :premises (@p204) :args (@t179)) % 13.50/13.78 (step @p206 :rule trans :premises (@p205 @p203)) % 13.50/13.78 (step @p207 :rule nary_cong :premises (@p206 @p202 @p201) :args (@t180)) % 13.50/13.78 (step @p208 :rule trans :premises (@p207 @p200)) % 13.50/13.78 (step @p209 :rule quant-var-elim-eq :args ((= (forall @t182 (or (not (= @t40 tptp.nil)) @t124 @t61 @t181)) @t180))) % 13.50/13.78 (step @p210 :rule refl :args (@t181)) % 13.50/13.78 (step @p211 :rule refl :args (@t61)) % 13.50/13.78 (step @p212 :rule refl :args (@t124)) % 13.50/13.78 (step @p213 :rule eq-symm :args (tptp.nil @t40)) % 13.50/13.78 (step @p214 :rule cong :premises (@p213) :args (@t124)) % 13.50/13.78 (step @p215 :rule nary_cong :premises (@p214 @p212 @p211 @p210) :args (@t183)) % 13.50/13.78 (step @p216 :rule aci_norm :args ((= @t184 @t183))) % 13.50/13.78 (step @p217 :rule trans :premises (@p216 @p215)) % 13.50/13.78 (step @p218 :rule cong :premises (@p217) :args (@t185)) % 13.50/13.78 (step @p219 :rule trans :premises (@p218 @p209)) % 13.50/13.78 (step @p220 :rule trans :premises (@p219 @p208)) % 13.50/13.78 (step @p221 :rule nary_cong :premises (@p202 @p220) :args (@t186)) % 13.50/13.78 (step @p222 :rule trans :premises (@p221 @p199)) % 13.50/13.78 (step @p223 :rule quant-miniscope-or :args ((= (forall @t182 @t187) @t186))) % 13.50/13.78 (step @p224 :rule aci_norm :args ((= @t188 @t187))) % 13.50/13.78 (step @p225 :rule cong :premises (@p224) :args ((forall @t182 @t188))) % 13.50/13.78 (step @p226 :rule trans :premises (@p225 @p223)) % 13.50/13.78 (step @p227 :rule trans :premises (@p226 @p222)) % 13.50/13.78 (step @p228 :rule aci_norm :args ((= (or false @t124 @t61 @t177 @t181) @t188))) % 13.50/13.78 (step @p229 :rule refl :args (@t181)) % 13.50/13.78 (step @p230 :rule refl :args (@t61)) % 13.50/13.78 (step @p231 :rule refl :args (@t124)) % 13.50/13.78 (step @p232 :rule nary_cong :premises (@p206 @p231 @p230 @p202 @p229) :args (@t189)) % 13.50/13.78 (step @p233 :rule trans :premises (@p232 @p228)) % 13.50/13.78 (step @p234 :rule cong :premises (@p233) :args ((forall @t182 @t189))) % 13.50/13.78 (step @p235 :rule trans :premises (@p234 @p227)) % 13.50/13.78 (step @p236 :rule quant-var-elim-eq :args ((= (forall @t4 (or @t191 @t55 @t124 @t61 @t47 @t190)) @t189))) % 13.50/13.78 (step @p237 :rule refl :args (@t190)) % 13.50/13.78 (step @p238 :rule refl :args (@t47)) % 13.50/13.78 (step @p239 :rule refl :args (@t55)) % 13.50/13.78 (step @p240 :rule eq-symm :args (tptp.nil @t2)) % 13.50/13.78 (step @p241 :rule cong :premises (@p240) :args (@t55)) % 13.50/13.78 (step @p242 :rule nary_cong :premises (@p241 @p239 @p212 @p211 @p238 @p237) :args (@t192)) % 13.50/13.78 (step @p243 :rule aci_norm :args ((= @t193 @t192))) % 13.50/13.78 (step @p244 :rule trans :premises (@p243 @p242)) % 13.50/13.78 (step @p245 :rule cong :premises (@p244) :args (@t194)) % 13.50/13.78 (step @p246 :rule trans :premises (@p245 @p236)) % 13.50/13.78 (step @p247 :rule cong :premises (@p246) :args (@t195)) % 13.50/13.78 (step @p248 :rule quant-merge-prenex :args ((= @t195 @t197))) % 13.50/13.78 (step @p249 :rule symm :premises (@p248)) % 13.50/13.78 (step @p250 :rule quant_var_reordering :args ((= (forall @t41 @t193) @t197))) % 13.50/13.78 (step @p251 :rule trans :premises (@p250 @p249 @p247)) % 13.50/13.78 (step @p252 :rule trans :premises (@p251 @p235)) % 13.50/13.78 (step @p253 :rule eq-symm :args (@t93 tptp.nil)) % 13.50/13.78 (step @p254 :rule refl :args (@t47)) % 13.50/13.78 (step @p255 :rule refl :args (@t55)) % 13.50/13.78 (step @p256 :rule nary_cong :premises (@p255 @p231 @p230 @p254 @p253) :args (@t125)) % 13.50/13.78 (step @p257 :rule cong :premises (@p256) :args (@t126)) % 13.50/13.78 (step @p258 :rule trans :premises (@p257 @p252)) % 13.50/13.78 (step @p259 :rule eq_resolve :premises (@p142 @p258)) % 13.50/13.78 (step @p260 :rule chain_m_resolution :premises (@p259 @p8) :args (@t176 @t198 @t199)) % 13.50/13.78 (step @p261 :rule eq-symm :args (@t133 @t2)) % 13.50/13.78 (step @p262 :rule refl :args (@t107)) % 13.50/13.78 (step @p263 :rule nary_cong :premises (@p262 @p230 @p254 @p261) :args (@t134)) % 13.50/13.78 (step @p264 :rule cong :premises (@p263) :args (@t135)) % 13.50/13.78 (step @p265 :rule eq_resolve :premises (@p165 @p264)) % 13.50/13.78 (step @p266 :rule instantiate :premises (@p265) :args ((@list tptp.nil tptp.nil))) % 13.50/13.78 (step @p267 :rule aci_norm :args ((= (or false @t177 @t200) (or @t177 @t200)))) % 13.50/13.78 (step @p268 :rule refl :args (@t200)) % 13.50/13.78 (step @p269 :rule nary_cong :premises (@p206 @p202 @p268) :args (@t201)) % 13.50/13.78 (step @p270 :rule trans :premises (@p269 @p267)) % 13.50/13.78 (step @p271 :rule quant-var-elim-eq :args ((= (forall @t4 (or @t191 @t55 @t47 @t54)) @t201))) % 13.50/13.78 (step @p272 :rule refl :args (@t54)) % 13.50/13.78 (step @p273 :rule nary_cong :premises (@p241 @p239 @p238 @p272) :args (@t202)) % 13.50/13.78 (step @p274 :rule aci_norm :args ((= @t56 @t202))) % 13.50/13.78 (step @p275 :rule trans :premises (@p274 @p273)) % 13.50/13.78 (step @p276 :rule cong :premises (@p275) :args (@t57)) % 13.50/13.78 (step @p277 :rule trans :premises (@p276 @p271)) % 13.50/13.78 (step @p278 :rule trans :premises (@p277 @p270)) % 13.50/13.78 (step @p279 :rule eq_resolve :premises (@p77 @p278)) % 13.50/13.78 (step @p280 :rule chain_m_resolution :premises (@p279 @p8) :args (@t200 @t198 @t199)) % 13.50/13.78 (step @p281 :rule cnf_or_pos :args (@t206)) % 13.50/13.78 (step @p282 :rule factoring :premises (@p281)) % 13.50/13.78 (step @p283 :rule reordering :premises (@p282) :args ((or @t177 @t205 @t204 (not @t206)))) % 13.50/13.78 (step @p284 :rule chain_m_resolution :premises (@p283 @p8 @p280 @p266) :args (@t204 @t207 (@list @t1 @t200 @t206))) % 13.50/13.78 (step @p285 :rule eq-symm :args (@t97 @t62)) % 13.50/13.78 (step @p286 :rule refl :args (@t46)) % 13.50/13.78 (step @p287 :rule nary_cong :premises (@p286 @p230 @p285) :args (@t98)) % 13.50/13.78 (step @p288 :rule cong :premises (@p287) :args (@t99)) % 13.50/13.78 (step @p289 :rule eq_resolve :premises (@p118 @p288)) % 13.50/13.78 (step @p290 :rule instantiate :premises (@p289) :args ((@list tptp.sk5 tptp.nil))) % 13.50/13.78 (assume-push @p664 @t159) % 13.50/13.78 (assume-push @p665 @t162) % 13.50/13.78 (assume-push @p666 @t159) % 13.50/13.78 (assume-push @p667 @t162) % 13.50/13.78 (step @p295 :rule symm :premises (@p188)) % 13.50/13.78 (step @p296 :rule trans :premises (@p665 @p295)) % 13.50/13.78 (step-pop @p668 :rule scope :premises (@p296)) % 13.50/13.78 (step-pop @p669 :rule scope :premises (@p668)) % 13.50/13.78 (step @p297 :rule process_scope :premises (@p669) :args (@t174)) % 13.50/13.78 (step @p300 :rule and_intro :premises (@p188 @p665)) % 13.50/13.78 (step @p301 :rule modus_ponens :premises (@p300 @p297)) % 13.50/13.78 (step-pop @p670 :rule scope :premises (@p301)) % 13.50/13.78 (step-pop @p671 :rule scope :premises (@p670)) % 13.50/13.78 (step @p302 :rule process_scope :premises (@p671) :args (@t174)) % 13.50/13.78 (step @p305 :rule implies_elim :premises (@p302)) % 13.50/13.78 (step @p306 :rule cnf_and_neg :args (@t208)) % 13.50/13.78 (step @p307 :rule resolution :premises (@p306 @p305) :args (true @t208)) % 13.50/13.78 (step @p308 :rule reordering :premises (@p307) :args ((or @t174 @t210 @t209))) % 13.50/13.78 (step @p309 :rule aci_norm :args ((= (or false @t211 @t61 @t61) (or @t211 @t61)))) % 13.50/13.78 (step @p310 :rule refl :args (@t211)) % 13.50/13.78 (step @p311 :rule eq-refl :args (@t40)) % 13.50/13.78 (step @p312 :rule cong :premises (@p311) :args (@t212)) % 13.50/13.78 (step @p313 :rule trans :premises (@p312 @p203)) % 13.50/13.78 (step @p314 :rule nary_cong :premises (@p313 @p310 @p230 @p230) :args (@t213)) % 13.50/13.78 (step @p315 :rule trans :premises (@p314 @p309)) % 13.50/13.78 (step @p316 :rule cong :premises (@p315) :args ((forall @t182 @t213))) % 13.50/13.78 (step @p317 :rule quant-var-elim-eq :args ((= 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:rule instantiate :premises (@p52) :args ((@list tptp.sk5 tptp.sk4))) % 13.50/13.78 (step @p535 :rule instantiate :premises (@p53) :args (@t241)) % 13.50/13.78 (step @p536 :rule instantiate :premises (@p146) :args ((@list @t242 @t163 @t244))) % 13.50/13.78 (step @p537 :rule cnf_or_pos :args (@t271)) % 13.50/13.78 (step @p538 :rule reordering :premises (@p537) :args ((or @t268 @t270 @t267 @t265 (not @t271)))) % 13.50/13.78 (step @p539 :rule instantiate :premises (@p169) :args ((@list @t163 tptp.sk1 @t242 @t244))) % 13.50/13.78 (step @p540 :rule cnf_or_pos :args (@t274)) % 13.50/13.78 (step @p541 :rule reordering :premises (@p540) :args ((or @t219 @t268 @t270 @t267 @t273 @t272 (not @t274)))) % 13.50/13.78 (step @p542 :rule instantiate :premises (@p289) :args ((@list tptp.sk5 @t242))) % 13.50/13.78 (step @p543 :rule cnf_or_pos :args (@t276)) % 13.50/13.78 (step @p544 :rule reordering :premises (@p543) :args ((or @t230 @t270 @t275 (not @t276)))) % 13.50/13.78 (step @p545 :rule chain_m_resolution :premises (@p544 @p379 @p534 @p542) :args (@t275 @t207 (@list @t161 @t269 @t276))) % 13.50/13.78 (assume-push @p736 @t158) % 13.50/13.78 (assume-push @p737 @t246) % 13.50/13.78 (assume-push @p738 @t275) % 13.50/13.78 (assume-push @p739 @t265) % 13.50/13.78 (assume-push @p740 @t272) % 13.50/13.78 (assume-push @p741 @t272) % 13.50/13.78 (assume-push @p742 @t265) % 13.50/13.78 (assume-push @p743 @t275) % 13.50/13.78 (assume-push @p744 @t246) % 13.50/13.78 (assume-push @p745 @t158) % 13.50/13.78 (step @p556 :rule true_intro :premises (@p740)) % 13.50/13.78 (step @p351 :rule refl :args (tptp.sk1)) % 13.50/13.78 (step @p557 :rule symm :premises (@p739)) % 13.50/13.78 (step @p558 :rule refl :args (@t244)) % 13.50/13.78 (step @p559 :rule cong :premises (@p558 @p738) :args (@t245)) % 13.50/13.78 (step @p560 :rule trans :premises (@p187 @p737 @p559 @p557)) % 13.50/13.78 (step @p561 :rule cong :premises (@p560 @p351) :args (@t170)) % 13.50/13.78 (step @p562 :rule trans :premises (@p561 @p556)) % 13.50/13.78 (step @p563 :rule true_elim :premises (@p562)) % 13.50/13.78 (step-pop @p746 :rule scope :premises (@p563)) % 13.50/13.78 (step-pop @p747 :rule scope :premises (@p746)) % 13.50/13.78 (step-pop @p748 :rule scope :premises (@p747)) % 13.50/13.78 (step-pop @p749 :rule scope :premises (@p748)) % 13.50/13.78 (step-pop @p750 :rule scope :premises (@p749)) % 13.50/13.78 (step @p564 :rule process_scope :premises (@p750) :args (@t170)) % 13.50/13.78 (step @p570 :rule and_intro :premises (@p740 @p739 @p738 @p737 @p187)) % 13.50/13.78 (step @p571 :rule modus_ponens :premises (@p570 @p564)) % 13.50/13.78 (step-pop @p751 :rule scope :premises (@p571)) % 13.50/13.78 (step-pop @p752 :rule scope :premises (@p751)) % 13.50/13.78 (step-pop @p753 :rule scope :premises (@p752)) % 13.50/13.78 (step-pop @p754 :rule scope :premises (@p753)) % 13.50/13.78 (step-pop @p755 :rule scope :premises (@p754)) % 13.50/13.78 (step @p572 :rule process_scope :premises (@p755) :args (@t170)) % 13.50/13.78 (step @p578 :rule implies_elim :premises (@p572)) % 13.50/13.78 (step @p579 :rule cnf_and_neg :args (@t277)) % 13.50/13.78 (step @p580 :rule resolution :premises (@p579 @p578) :args (true @t277)) % 13.50/13.78 (step @p581 :rule reordering :premises (@p580) :args ((or @t170 @t226 (not @t246) (not @t275) (not @t265) (not @t272)))) % 13.50/13.78 (step @p582 :rule chain_m_resolution :premises (@p581 @p545 @p187 @p196 @p541 @p539 @p535 @p534 @p183 @p538 @p536 @p535 @p534 @p533 @p531 @p183 @p8 @p525 @p500 @p188 @p496 @p188 @p183 @p471 @p188 @p447 @p414 @p187 @p410 @p408 @p379 @p186 @p401 @p400) :args (@t162 (@list false false true false false false false false false false false false false false false false false false false false false false true false true true false false false false false false false) (@list @t275 @t158 @t170 @t272 @t274 @t266 @t269 @t156 @t265 @t271 @t266 @t269 @t172 @t262 @t156 @t1 @t260 @t258 @t159 @t256 @t159 @t156 @t174 @t159 @t169 @t250 @t158 @t246 @t249 @t161 @t157 @t166 @t240))) % 13.50/13.78 (step @p583 :rule chain_m_resolution :premises (@p447 @p414 @p187 @p401 @p308 @p188 @p378 @p195) :args (@t168 (@list true false false true false true false) (@list @t250 @t158 @t166 @t162 @t159 @t174 @t169))) % 13.50/13.78 (step @p584 :rule chain_m_resolution :premises (@p377 @p187 @p188 @p582 @p583 @p331) :args (@t225 (@list false false false false true) (@list @t158 @t159 @t162 @t168 @t220))) % 13.50/13.78 (step @p585 :rule refl :args (@t160)) % 13.50/13.78 (step @p586 :rule nary_cong :premises (@p397 @p585) :args (@t165)) % 13.50/13.78 (step @p587 :rule eq_resolve :premises (@p191 @p586)) % 13.50/13.78 (step @p588 :rule reordering :premises (@p587) :args ((or @t160 @t240))) % 13.50/13.78 (step @p589 :rule chain_m_resolution :premises (@p588 @p584) :args (@t240 (@list true) (@list @t160))) % 13.50/13.78 (step @p590 :rule refl :args (@t278)) % 13.50/13.78 (step @p591 :rule bool-double-not-elim :args (@t234)) % 13.50/13.78 (step @p592 :rule refl :args (@t279)) % 13.50/13.78 (step @p593 :rule refl :args (@t280)) % 13.50/13.78 (step @p594 :rule refl :args (@t281)) % 13.50/13.78 (step @p595 :rule refl :args (@t282)) % 13.50/13.78 (step @p596 :rule nary_cong :premises (@p336 @p334 @p595 @p594 @p593 @p592 @p591 @p590) :args ((or @t210 @t209 @t282 @t281 @t280 @t279 (not @t235) @t278))) % 13.50/13.78 (assume-push @p756 @t176) % 13.50/13.78 (assume-push @p757 @t162) % 13.50/13.78 (assume-push @p758 @t240) % 13.50/13.78 (assume-push @p759 @t229) % 13.50/13.78 (assume-push @p760 @t283) % 13.50/13.78 (assume-push @p761 @t238) % 13.50/13.78 (assume-push @p762 @t235) % 13.50/13.78 (step @p604 :rule evaluate :args ((= false true))) % 13.50/13.78 (step @p605 :rule symm :premises (@p757)) % 13.50/13.79 (step @p606 :rule symm :premises (@p758)) % 13.50/13.79 (step @p607 :rule symm :premises (@p759)) % 13.50/13.79 (step @p608 :rule symm :premises (@p760)) % 13.50/13.79 (step @p609 :rule trans :premises (@p761 @p608 @p607 @p606 @p605 @p260)) % 13.50/13.79 (step @p610 :rule symm :premises (@p609)) % 13.50/13.79 (step @p611 :rule trans :premises (@p260 @p610)) % 13.50/13.79 (step @p612 :rule true_intro :premises (@p611)) % 13.50/13.79 (step @p613 :rule false_intro :premises (@p762)) % 13.50/13.79 (step @p614 :rule symm :premises (@p613)) % 13.50/13.79 (step @p615 :rule trans :premises (@p614 @p612)) % 13.50/13.79 (step @p616 false :rule eq_resolve :premises (@p615 @p604)) % 13.50/13.79 (step-pop @p763 :rule scope :premises (@p616)) % 13.50/13.79 (step-pop @p764 :rule scope :premises (@p763)) % 13.50/13.79 (step-pop @p765 :rule scope :premises (@p764)) % 13.50/13.79 (step-pop @p766 :rule scope :premises (@p765)) % 13.50/13.79 (step-pop @p767 :rule scope :premises (@p766)) % 13.50/13.79 (step-pop @p768 :rule scope :premises (@p767)) % 13.50/13.79 (step-pop @p769 :rule scope :premises (@p768)) % 13.50/13.79 (step @p617 :rule process_scope :premises (@p769) :args (false)) % 13.50/13.79 (assume-push @p770 @t159) % 13.50/13.79 (assume-push @p771 @t162) % 13.50/13.79 (assume-push @p772 @t176) % 13.50/13.79 (assume-push @p773 @t240) % 13.50/13.79 (assume-push @p774 @t229) % 13.50/13.79 (assume-push @p775 @t204) % 13.50/13.79 (assume-push @p776 @t235) % 13.50/13.79 (assume-push @p777 @t238) % 13.50/13.79 (assume-push @p778 @t159) % 13.50/13.79 (assume-push @p779 @t162) % 13.50/13.79 (assume-push @p780 @t204) % 13.50/13.79 (step @p295 :rule symm :premises (@p188)) % 13.50/13.79 (step @p636 :rule symm :premises (@p284)) % 13.50/13.79 (step @p637 :rule trans :premises (@p636 @p771 @p295)) % 13.50/13.79 (step @p638 :rule refl :args (@t163)) % 13.50/13.79 (step @p639 :rule cong :premises (@p638 @p637) :args ((tptp.app @t163 @t203))) % 13.50/13.79 (step @p640 :rule cong :premises (@p638 @p284) :args (@t228)) % 13.50/13.79 (step @p641 :rule trans :premises (@p640 @p639)) % 13.50/13.79 (step-pop @p781 :rule scope :premises (@p641)) % 13.50/13.79 (step-pop @p782 :rule scope :premises (@p781)) % 13.50/13.79 (step-pop @p783 :rule scope :premises (@p782)) % 13.50/13.79 (step @p642 :rule process_scope :premises (@p783) :args (@t283)) % 13.50/13.79 (step @p646 :rule and_intro :premises (@p188 @p771 @p284)) % 13.50/13.79 (step @p647 :rule modus_ponens :premises (@p646 @p642)) % 13.50/13.79 (step @p648 :rule and_intro :premises (@p260 @p771 @p773 @p774 @p647 @p777 @p776)) % 13.50/13.79 (step-pop @p784 :rule scope :premises (@p648)) % 13.50/13.79 (step-pop @p785 :rule scope :premises (@p784)) % 13.50/13.79 (step-pop @p786 :rule scope :premises (@p785)) % 13.50/13.79 (step-pop @p787 :rule scope :premises (@p786)) % 13.50/13.79 (step-pop @p788 :rule scope :premises (@p787)) % 13.50/13.79 (step-pop @p789 :rule scope :premises (@p788)) % 13.50/13.79 (step-pop @p790 :rule scope :premises (@p789)) % 13.50/13.79 (step-pop @p791 :rule scope :premises (@p790)) % 13.50/13.79 (step @p649 :rule process_scope :premises (@p791) :args (@t284)) % 13.50/13.79 (step @p658 :rule implies_elim :premises (@p649)) % 13.50/13.79 (step @p659 :rule resolution :premises (@p658 @p617) :args (true @t284)) % 13.50/13.79 (step @p660 :rule not_and :premises (@p659)) % 13.50/13.79 (step @p661 :rule eq_resolve :premises (@p660 @p596)) % 13.50/13.79 (step @p662 :rule reordering :premises (@p661) :args ((or @t282 @t210 @t209 @t281 @t280 @t279 @t234 @t278))) % 13.50/13.79 (step @p663 false :rule chain_m_resolution :premises (@p662 @p589 @p582 @p395 @p391 @p382 @p284 @p188 @p260) :args (false (@list false false false true false false false false) (@list @t240 @t162 @t238 @t234 @t229 @t204 @t159 @t176))) % 13.50/13.79 ) % 0.36/13.84 % SZS output end Proof % 0.36/13.84 % cvc5 exiting %------------------------------------------------------------------------------