%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC120-1 : 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 : n029.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 08:58:08 AM UTC 2026 % Result : Unsatisfiable 15.99s 16.96s % Output : Proof 15.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC120-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:15:47 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/16.15 --- Run --no-e-matching --full-saturate-quant at 6... % 15.99/16.96 % SZS status Unsatisfiable % 15.99/16.96 % SZS output start Proof % 15.99/16.97 ( % 15.99/16.97 (declare-sort $$unsorted 0) % 15.99/16.97 (declare-const tptp.sk4 $$unsorted) % 15.99/16.97 (declare-const tptp.sk2 $$unsorted) % 15.99/16.97 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.nil $$unsorted) % 15.99/16.97 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.sk1 $$unsorted) % 15.99/16.97 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skac2 $$unsorted) % 15.99/16.97 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.sk3 $$unsorted) % 15.99/16.97 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.ssList (-> $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skac3 $$unsorted) % 15.99/16.97 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.97 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 15.99/16.97 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 15.99/16.97 (define @t1 () (tptp.ssList tptp.nil)) % 15.99/16.97 (define @t2 () (@var "U" $$unsorted)) % 15.99/16.97 (define @t3 () (tptp.skaf83 @t2)) % 15.99/16.97 (define @t4 () (@list @t2)) % 15.99/16.97 (define @t5 () (tptp.skaf82 @t2)) % 15.99/16.97 (define @t6 () (tptp.skaf81 @t2)) % 15.99/16.97 (define @t7 () (tptp.skaf80 @t2)) % 15.99/16.97 (define @t8 () (tptp.skaf79 @t2)) % 15.99/16.97 (define @t9 () (tptp.skaf78 @t2)) % 15.99/16.97 (define @t10 () (tptp.skaf77 @t2)) % 15.99/16.97 (define @t11 () (tptp.skaf76 @t2)) % 15.99/16.97 (define @t12 () (tptp.skaf75 @t2)) % 15.99/16.97 (define @t13 () (tptp.skaf74 @t2)) % 15.99/16.97 (define @t14 () (tptp.skaf73 @t2)) % 15.99/16.97 (define @t15 () (tptp.skaf72 @t2)) % 15.99/16.97 (define @t16 () (tptp.skaf71 @t2)) % 15.99/16.97 (define @t17 () (tptp.skaf70 @t2)) % 15.99/16.97 (define @t18 () (tptp.skaf69 @t2)) % 15.99/16.97 (define @t19 () (tptp.skaf68 @t2)) % 15.99/16.97 (define @t20 () (tptp.skaf67 @t2)) % 15.99/16.97 (define @t21 () (tptp.skaf66 @t2)) % 15.99/16.97 (define @t22 () (tptp.skaf65 @t2)) % 15.99/16.97 (define @t23 () (tptp.skaf64 @t2)) % 15.99/16.97 (define @t24 () (tptp.skaf63 @t2)) % 15.99/16.97 (define @t25 () (tptp.skaf62 @t2)) % 15.99/16.97 (define @t26 () (tptp.skaf61 @t2)) % 15.99/16.97 (define @t27 () (tptp.skaf60 @t2)) % 15.99/16.97 (define @t28 () (tptp.skaf59 @t2)) % 15.99/16.97 (define @t29 () (tptp.skaf58 @t2)) % 15.99/16.97 (define @t30 () (tptp.skaf57 @t2)) % 15.99/16.97 (define @t31 () (tptp.skaf56 @t2)) % 15.99/16.97 (define @t32 () (tptp.skaf55 @t2)) % 15.99/16.97 (define @t33 () (tptp.skaf54 @t2)) % 15.99/16.97 (define @t34 () (tptp.skaf53 @t2)) % 15.99/16.97 (define @t35 () (tptp.skaf52 @t2)) % 15.99/16.97 (define @t36 () (tptp.skaf51 @t2)) % 15.99/16.97 (define @t37 () (tptp.skaf50 @t2)) % 15.99/16.97 (define @t38 () (tptp.skaf49 @t2)) % 15.99/16.97 (define @t39 () (tptp.skaf44 @t2)) % 15.99/16.97 (define @t40 () (@var "V" $$unsorted)) % 15.99/16.97 (define @t41 () (@list @t2 @t40)) % 15.99/16.97 (define @t42 () (tptp.skaf47 @t2 @t40)) % 15.99/16.97 (define @t43 () (tptp.skaf46 @t2 @t40)) % 15.99/16.97 (define @t44 () (tptp.skaf45 @t2 @t40)) % 15.99/16.97 (define @t45 () (tptp.skaf42 @t2 @t40)) % 15.99/16.97 (define @t46 () (not (tptp.ssItem @t2))) % 15.99/16.97 (define @t47 () (not (tptp.ssList @t2))) % 15.99/16.97 (define @t48 () (tptp.cons @t2 tptp.nil)) % 15.99/16.97 (define @t49 () (tptp.ssItem @t40)) % 15.99/16.97 (define @t50 () (tptp.duplicatefreeP @t2)) % 15.99/16.97 (define @t51 () (tptp.app tptp.nil @t2)) % 15.99/16.97 (define @t52 () (or @t47 (= @t51 @t2))) % 15.99/16.97 (define @t53 () (forall @t4 @t52)) % 15.99/16.97 (define @t54 () (= tptp.nil @t2)) % 15.99/16.97 (define @t55 () (tptp.tl @t2)) % 15.99/16.97 (define @t56 () (tptp.hd @t2)) % 15.99/16.97 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 15.99/16.97 (define @t58 () (not @t54)) % 15.99/16.97 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 15.99/16.97 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 15.99/16.97 (define @t61 () (tptp.app @t40 @t2)) % 15.99/16.97 (define @t62 () (not (tptp.ssList @t40))) % 15.99/16.97 (define @t63 () (tptp.cons @t2 @t40)) % 15.99/16.97 (define @t64 () (tptp.cyclefreeP @t2)) % 15.99/16.97 (define @t65 () (tptp.equalelemsP @t2)) % 15.99/16.97 (define @t66 () (tptp.strictorderedP @t2)) % 15.99/16.97 (define @t67 () (tptp.totalorderedP @t2)) % 15.99/16.97 (define @t68 () (tptp.strictorderP @t2)) % 15.99/16.97 (define @t69 () (tptp.totalorderP @t2)) % 15.99/16.97 (define @t70 () (not (= @t63 @t40))) % 15.99/16.97 (define @t71 () (or @t70 @t46 @t62)) % 15.99/16.97 (define @t72 () (forall @t41 @t71)) % 15.99/16.97 (define @t73 () (= @t40 @t2)) % 15.99/16.97 (define @t74 () (tptp.neq @t40 @t2)) % 15.99/16.97 (define @t75 () (or @t47 @t62 @t74 @t73)) % 15.99/16.97 (define @t76 () (forall @t41 @t75)) % 15.99/16.97 (define @t77 () (not @t49)) % 15.99/16.97 (define @t78 () (tptp.leq @t2 @t40)) % 15.99/16.97 (define @t79 () (tptp.lt @t2 @t40)) % 15.99/16.97 (define @t80 () (not @t79)) % 15.99/16.97 (define @t81 () (tptp.cons @t56 @t55)) % 15.99/16.97 (define @t82 () (or @t47 (= @t81 @t2) @t54)) % 15.99/16.97 (define @t83 () (forall @t4 @t82)) % 15.99/16.97 (define @t84 () (tptp.lt @t40 @t2)) % 15.99/16.97 (define @t85 () (not (tptp.gt @t2 @t40))) % 15.99/16.97 (define @t86 () (tptp.gt @t40 @t2)) % 15.99/16.97 (define @t87 () (tptp.leq @t40 @t2)) % 15.99/16.97 (define @t88 () (not (tptp.geq @t2 @t40))) % 15.99/16.97 (define @t89 () (tptp.geq @t40 @t2)) % 15.99/16.97 (define @t90 () (not @t78)) % 15.99/16.97 (define @t91 () (= @t2 @t40)) % 15.99/16.97 (define @t92 () (not @t91)) % 15.99/16.97 (define @t93 () (tptp.cons @t40 @t2)) % 15.99/16.97 (define @t94 () (not (tptp.neq @t2 @t40))) % 15.99/16.97 (define @t95 () (or @t92 @t94 @t62 @t47)) % 15.99/16.97 (define @t96 () (forall @t41 @t95)) % 15.99/16.97 (define @t97 () (tptp.app @t2 @t40)) % 15.99/16.97 (define @t98 () (= @t97 tptp.nil)) % 15.99/16.97 (define @t99 () (not @t98)) % 15.99/16.97 (define @t100 () (= tptp.nil @t40)) % 15.99/16.97 (define @t101 () (tptp.hd @t40)) % 15.99/16.97 (define @t102 () (tptp.strictorderedP @t40)) % 15.99/16.97 (define @t103 () (tptp.strictorderedP @t63)) % 15.99/16.97 (define @t104 () (not @t103)) % 15.99/16.97 (define @t105 () (tptp.totalorderedP @t40)) % 15.99/16.97 (define @t106 () (tptp.totalorderedP @t63)) % 15.99/16.97 (define @t107 () (not @t106)) % 15.99/16.97 (define @t108 () (not (tptp.segmentP @t2 @t40))) % 15.99/16.97 (define @t109 () (not (tptp.rearsegP @t2 @t40))) % 15.99/16.97 (define @t110 () (not (tptp.frontsegP @t2 @t40))) % 15.99/16.97 (define @t111 () (not @t87)) % 15.99/16.97 (define @t112 () (tptp.tl @t40)) % 15.99/16.97 (define @t113 () (tptp.lt @t2 @t101)) % 15.99/16.97 (define @t114 () (tptp.leq @t2 @t101)) % 15.99/16.97 (define @t115 () (@var "W" $$unsorted)) % 15.99/16.97 (define @t116 () (tptp.app @t115 @t2)) % 15.99/16.97 (define @t117 () (not (tptp.ssList @t115))) % 15.99/16.97 (define @t118 () (@list @t2 @t40 @t115)) % 15.99/16.97 (define @t119 () (tptp.app @t2 @t115)) % 15.99/16.97 (define @t120 () (tptp.cons @t40 @t115)) % 15.99/16.97 (define @t121 () (tptp.cons @t115 @t2)) % 15.99/16.97 (define @t122 () (not (tptp.ssItem @t115))) % 15.99/16.97 (define @t123 () (not (tptp.memberP @t2 @t40))) % 15.99/16.97 (define @t124 () (not (= @t97 @t115))) % 15.99/16.97 (define @t125 () (tptp.lt @t2 @t115)) % 15.99/16.97 (define @t126 () (not (tptp.lt @t40 @t115))) % 15.99/16.97 (define @t127 () (tptp.app @t115 @t40)) % 15.99/16.97 (define @t128 () (= @t40 @t115)) % 15.99/16.97 (define @t129 () (= @t2 @t115)) % 15.99/16.97 (define @t130 () (tptp.memberP @t40 @t115)) % 15.99/16.97 (define @t131 () (@var "X" $$unsorted)) % 15.99/16.97 (define @t132 () (not (tptp.ssList @t131))) % 15.99/16.97 (define @t133 () (tptp.cons @t115 @t131)) % 15.99/16.97 (define @t134 () (not (= @t63 @t133))) % 15.99/16.97 (define @t135 () (@list @t2 @t40 @t115 @t131)) % 15.99/16.97 (define @t136 () (not (tptp.frontsegP @t63 @t133))) % 15.99/16.97 (define @t137 () (tptp.app @t2 @t120)) % 15.99/16.97 (define @t138 () (not (tptp.ssItem @t131))) % 15.99/16.97 (define @t139 () (@var "Y" $$unsorted)) % 15.99/16.97 (define @t140 () (not (tptp.ssList @t139))) % 15.99/16.97 (define @t141 () (@list @t2 @t40 @t115 @t131 @t139)) % 15.99/16.97 (define @t142 () (tptp.lt @t40 @t131)) % 15.99/16.97 (define @t143 () (@var "Z" $$unsorted)) % 15.99/16.97 (define @t144 () (not (tptp.ssList @t143))) % 15.99/16.97 (define @t145 () (not (= (tptp.app @t137 (tptp.cons @t131 @t139)) @t143))) % 15.99/16.97 (define @t146 () (@list @t2 @t40 @t115 @t131 @t139 @t143)) % 15.99/16.97 (define @t147 () (tptp.leq @t40 @t131)) % 15.99/16.97 (define @t148 () (tptp.ssList tptp.sk3)) % 15.99/16.97 (define @t149 () (tptp.ssList tptp.sk4)) % 15.99/16.97 (define @t150 () (tptp.neq tptp.sk2 tptp.nil)) % 15.99/16.97 (define @t151 () (or @t150 @t150)) % 15.99/16.97 (define @t152 () (tptp.neq tptp.sk4 tptp.nil)) % 15.99/16.97 (define @t153 () (not @t152)) % 15.99/16.97 (define @t154 () (tptp.neq tptp.nil tptp.sk4)) % 15.99/16.97 (define @t155 () (not @t154)) % 15.99/16.97 (define @t156 () (@var "A" $$unsorted)) % 15.99/16.97 (define @t157 () (@var "B" $$unsorted)) % 15.99/16.97 (define @t158 () (tptp.app tptp.sk3 @t157)) % 15.99/16.97 (define @t159 () (not (= @t158 @t156))) % 15.99/16.97 (define @t160 () (tptp.tl tptp.sk4)) % 15.99/16.97 (define @t161 () (not (= @t160 @t157))) % 15.99/16.97 (define @t162 () (not (tptp.ssList @t157))) % 15.99/16.97 (define @t163 () (= tptp.sk4 @t156)) % 15.99/16.97 (define @t164 () (not (tptp.ssList @t156))) % 15.99/16.97 (define @t165 () (@list @t156 @t157)) % 15.99/16.97 (define @t166 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 15.99/16.97 (define @t167 () (not @t166)) % 15.99/16.97 (define @t168 () (tptp.neq tptp.sk1 tptp.nil)) % 15.99/16.97 (define @t169 () (not @t168)) % 15.99/16.97 (define @t170 () (or @t164 @t163 @t162 @t161 @t159 @t155 @t153)) % 15.99/16.97 (define @t171 () (forall @t165 @t170)) % 15.99/16.97 (define @t172 () (or @t169 @t167 @t153)) % 15.99/16.97 (define @t173 () (@list tptp.sk4)) % 15.99/16.97 (define @t174 () (not (tptp.neq @t40 @t40))) % 15.99/16.97 (define @t175 () (not (= @t40 @t40))) % 15.99/16.97 (define @t176 () (or @t175 @t174 @t62 @t62)) % 15.99/16.97 (define @t177 () (@list @t40)) % 15.99/16.97 (define @t178 () (or @t92 @t92 @t94 @t62 @t47)) % 15.99/16.97 (define @t179 () (forall @t4 @t95)) % 15.99/16.97 (define @t180 () (forall @t177 @t179)) % 15.99/16.97 (define @t181 () (forall (@list @t40 @t2) @t95)) % 15.99/16.97 (define @t182 () (not @t149)) % 15.99/16.97 (define @t183 () (tptp.neq tptp.sk4 tptp.sk4)) % 15.99/16.97 (define @t184 () (not @t183)) % 15.99/16.97 (define @t185 () (or @t184 @t182)) % 15.99/16.97 (define @t186 () (@list false false)) % 15.99/16.97 (define @t187 () (= tptp.nil tptp.sk4)) % 15.99/16.97 (define @t188 () (not @t187)) % 15.99/16.97 (define @t189 () (= false true)) % 15.99/16.97 (define @t190 () (tptp.ssList @t160)) % 15.99/16.97 (define @t191 () (or @t182 @t190 @t187)) % 15.99/16.97 (define @t192 () (@list false true false)) % 15.99/16.97 (define @t193 () (tptp.app tptp.sk3 @t160)) % 15.99/16.97 (define @t194 () (tptp.ssList @t193)) % 15.99/16.97 (define @t195 () (not @t148)) % 15.99/16.97 (define @t196 () (not @t190)) % 15.99/16.97 (define @t197 () (or @t196 @t195 @t194)) % 15.99/16.97 (define @t198 () (@list false false false)) % 15.99/16.97 (define @t199 () (not @t1)) % 15.99/16.97 (define @t200 () (or @t182 @t199 @t154 (= tptp.sk4 tptp.nil))) % 15.99/16.97 (define @t201 () (forall @t41 (or @t47 @t62 @t74 @t91))) % 15.99/16.97 (define @t202 () (or @t182 @t199 @t154 @t187)) % 15.99/16.97 (define @t203 () (and @t152 @t187 @t155)) % 15.99/16.97 (define @t204 () (@list false false false false false)) % 15.99/16.97 (define @t205 () (= tptp.sk4 @t193)) % 15.99/16.97 (define @t206 () (not @t194)) % 15.99/16.97 (define @t207 () (or @t196 @t206 @t205)) % 15.99/16.97 (define @t208 () (or @t206 @t205)) % 15.99/16.97 (define @t209 () (not (= @t193 @t193))) % 15.99/16.97 (define @t210 () (or @t206 @t205 @t209)) % 15.99/16.97 (define @t211 () (not (= @t156 @t193))) % 15.99/16.97 (define @t212 () (or @t211 @t164 @t163 @t211)) % 15.99/16.97 (define @t213 () (@list @t156)) % 15.99/16.97 (define @t214 () (or @t164 @t163 @t211)) % 15.99/16.97 (define @t215 () (forall @t213 @t214)) % 15.99/16.97 (define @t216 () (or @t196 @t215)) % 15.99/16.97 (define @t217 () (or @t196 @t214)) % 15.99/16.97 (define @t218 () (or @t164 @t163 @t196 @t211)) % 15.99/16.97 (define @t219 () (not (= @t160 @t160))) % 15.99/16.97 (define @t220 () (or @t164 @t163 @t196 @t219 @t211)) % 15.99/16.97 (define @t221 () (not (= @t156 @t158))) % 15.99/16.97 (define @t222 () (not (= @t157 @t160))) % 15.99/16.97 (define @t223 () (or @t222 @t164 @t163 @t162 @t222 @t221)) % 15.99/16.97 (define @t224 () (@list @t157)) % 15.99/16.97 (define @t225 () (or @t164 @t163 @t162 @t222 @t221)) % 15.99/16.97 (define @t226 () (forall @t224 @t225)) % 15.99/16.97 (define @t227 () (forall @t213 @t226)) % 15.99/16.97 (define @t228 () (forall @t165 @t225)) % 15.99/16.97 (define @t229 () (or @t155 @t153 @t228)) % 15.99/16.97 (define @t230 () (or @t155 @t153 @t225)) % 15.99/16.97 (define @t231 () (or @t164 @t163 @t162 @t222 @t221 @t155 @t153)) % 15.99/16.97 (define @t232 () (tptp.hd tptp.sk4)) % 15.99/16.97 (define @t233 () (tptp.cons @t232 @t160)) % 15.99/16.97 (define @t234 () (= tptp.sk4 @t233)) % 15.99/16.97 (define @t235 () (or @t182 @t234 @t187)) % 15.99/16.97 (define @t236 () (tptp.ssList @t233)) % 15.99/16.97 (define @t237 () (and @t149 @t234)) % 15.99/16.97 (define @t238 () (tptp.ssItem @t232)) % 15.99/16.97 (define @t239 () (or @t182 @t238 @t187)) % 15.99/16.97 (define @t240 () (not @t236)) % 15.99/16.97 (define @t241 () (not @t238)) % 15.99/16.97 (define @t242 () (= @t233 (tptp.cons @t232 @t233))) % 15.99/16.97 (define @t243 () (not @t242)) % 15.99/16.97 (define @t244 () (or @t243 @t241 @t240)) % 15.99/16.97 (define @t245 () (tptp.app tptp.nil @t160)) % 15.99/16.97 (define @t246 () (= @t160 @t245)) % 15.99/16.97 (define @t247 () (or @t196 @t246)) % 15.99/16.97 (define @t248 () (= tptp.nil tptp.sk3)) % 15.99/16.97 (define @t249 () (and @t205 @t248 @t246 @t234)) % 15.99/16.97 (define @t250 () (tptp.neq tptp.sk3 tptp.nil)) % 15.99/16.97 (define @t251 () (or @t199 @t195 @t250 @t248)) % 15.99/16.97 (define @t252 () (@list false false true false)) % 15.99/16.97 (define @t253 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 15.99/16.97 (define @t254 () (not @t253)) % 15.99/16.97 (define @t255 () (@list tptp.sk3)) % 15.99/16.97 (define @t256 () (tptp.app tptp.nil tptp.sk3)) % 15.99/16.97 (define @t257 () (= tptp.sk3 @t256)) % 15.99/16.97 (define @t258 () (or @t195 @t257)) % 15.99/16.97 (define @t259 () (tptp.segmentP tptp.sk3 tptp.sk3)) % 15.99/16.97 (define @t260 () (or @t195 @t259)) % 15.99/16.97 (define @t261 () (tptp.segmentP (tptp.app @t256 @t160) tptp.sk3)) % 15.99/16.97 (define @t262 () (not @t259)) % 15.99/16.97 (define @t263 () (or @t262 @t196 @t199 @t195 @t195 @t261)) % 15.99/16.97 (define @t264 () (not @t261)) % 15.99/16.97 (define @t265 () (not @t257)) % 15.99/16.97 (define @t266 () (not @t205)) % 15.99/16.97 (define @t267 () (and @t261 @t257 @t205 @t254)) % 15.99/16.97 (assume @p1 (tptp.equalelemsP tptp.nil)) % 15.99/16.97 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 15.99/16.97 (assume @p3 (tptp.strictorderedP tptp.nil)) % 15.99/16.97 (assume @p4 (tptp.totalorderedP tptp.nil)) % 15.99/16.97 (assume @p5 (tptp.strictorderP tptp.nil)) % 15.99/16.97 (assume @p6 (tptp.totalorderP tptp.nil)) % 15.99/16.97 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 15.99/16.97 (assume @p8 @t1) % 15.99/16.97 (assume @p9 (tptp.ssItem tptp.skac3)) % 15.99/16.97 (assume @p10 (tptp.ssItem tptp.skac2)) % 15.99/16.97 (assume @p11 (not (tptp.singletonP tptp.nil))) % 15.99/16.97 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 15.99/16.97 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 15.99/16.97 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 15.99/16.97 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 15.99/16.97 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 15.99/16.97 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 15.99/16.97 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 15.99/16.97 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 15.99/16.97 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 15.99/16.97 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 15.99/16.97 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 15.99/16.97 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 15.99/16.97 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 15.99/16.97 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 15.99/16.97 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 15.99/16.97 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 15.99/16.97 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 15.99/16.97 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 15.99/16.97 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 15.99/16.97 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 15.99/16.97 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 15.99/16.97 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 15.99/16.97 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 15.99/16.97 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 15.99/16.97 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 15.99/16.97 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 15.99/16.97 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 15.99/16.97 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 15.99/16.97 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 15.99/16.97 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 15.99/16.97 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 15.99/16.97 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 15.99/16.97 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 15.99/16.97 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 15.99/16.97 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 15.99/16.97 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 15.99/16.97 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 15.99/16.97 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 15.99/16.97 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 15.99/16.97 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 15.99/16.97 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 15.99/16.97 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 15.99/16.97 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 15.99/16.97 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 15.99/16.97 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 15.99/16.97 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 15.99/16.97 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 15.99/16.97 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 15.99/16.97 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 15.99/16.97 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 15.99/16.97 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 15.99/16.97 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 15.99/16.97 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 15.99/16.97 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 15.99/16.97 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 15.99/16.97 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 15.99/16.97 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 15.99/16.97 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 15.99/16.97 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 15.99/16.97 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 15.99/16.97 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 15.99/16.97 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 15.99/16.97 (assume @p74 @t53) % 15.99/16.97 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 15.99/16.97 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 15.99/16.97 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 15.99/16.97 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 15.99/16.97 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 15.99/16.97 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 15.99/16.97 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 15.99/16.97 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 15.99/16.97 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 15.99/16.97 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 15.99/16.97 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 15.99/16.97 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 15.99/16.97 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 15.99/16.97 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 15.99/16.97 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 15.99/16.97 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 15.99/16.97 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 15.99/16.97 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 15.99/16.97 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 15.99/16.97 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 15.99/16.97 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 15.99/16.97 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 15.99/16.98 (assume @p97 @t72) % 15.99/16.98 (assume @p98 @t76) % 15.99/16.98 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 15.99/16.98 (assume @p100 (forall @t41 (or @t46 @t77 @t74 @t73))) % 15.99/16.98 (assume @p101 (forall @t41 (or @t80 @t77 @t46 @t78))) % 15.99/16.98 (assume @p102 @t83) % 15.99/16.98 (assume @p103 (forall @t41 (or @t85 @t77 @t46 @t84))) % 15.99/16.98 (assume @p104 (forall @t41 (or @t80 @t46 @t77 @t86))) % 15.99/16.98 (assume @p105 (forall @t41 (or @t88 @t77 @t46 @t87))) % 15.99/16.98 (assume @p106 (forall @t41 (or @t90 @t46 @t77 @t89))) % 15.99/16.98 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 15.99/16.98 (assume @p108 (forall @t41 (or @t85 (not @t86) @t46 @t77))) % 15.99/16.98 (assume @p109 (forall @t41 (or @t92 @t80 @t77 @t46))) % 15.99/16.98 (assume @p110 (forall @t41 (or @t58 @t47 @t77 (tptp.strictorderedP @t93)))) % 15.99/16.98 (assume @p111 (forall @t41 (or @t58 @t47 @t77 (tptp.totalorderedP @t93)))) % 15.99/16.98 (assume @p112 (forall @t41 (or @t80 (not @t84) @t46 @t77))) % 15.99/16.98 (assume @p113 @t96) % 15.99/16.98 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 15.99/16.98 (assume @p115 (forall @t41 (or @t92 @t94 @t77 @t46))) % 15.99/16.98 (assume @p116 (forall @t41 (or @t99 @t62 @t47 @t54))) % 15.99/16.98 (assume @p117 (forall @t41 (or @t99 @t62 @t47 @t100))) % 15.99/16.98 (assume @p118 (forall @t41 (or @t46 @t62 (= (tptp.app @t48 @t40) @t63)))) % 15.99/16.98 (assume @p119 (forall @t41 (or @t90 @t77 @t46 @t79 @t91))) % 15.99/16.98 (assume @p120 (forall @t41 (or @t47 @t62 @t100 (= (tptp.hd @t61) @t101)))) % 15.99/16.98 (assume @p121 (forall @t41 (or @t104 @t62 @t46 @t102 @t100))) % 15.99/16.98 (assume @p122 (forall @t41 (or @t107 @t62 @t46 @t105 @t100))) % 15.99/16.98 (assume @p123 (forall @t41 (or @t88 (not @t89) @t46 @t77 @t73))) % 15.99/16.98 (assume @p124 (forall @t41 (or @t108 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t73))) % 15.99/16.98 (assume @p125 (forall @t41 (or @t109 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t73))) % 15.99/16.98 (assume @p126 (forall @t41 (or @t110 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t73))) % 15.99/16.98 (assume @p127 (forall @t41 (or @t90 @t111 @t46 @t77 @t73))) % 15.99/16.98 (assume @p128 (forall @t41 (or @t109 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 15.99/16.98 (assume @p129 (forall @t41 (or @t110 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 15.99/16.98 (assume @p130 (forall @t41 (or @t47 @t62 @t100 (= (tptp.tl @t61) (tptp.app @t112 @t2))))) % 15.99/16.98 (assume @p131 (forall @t41 (or @t104 @t62 @t46 @t113 @t100))) % 15.99/16.98 (assume @p132 (forall @t41 (or @t107 @t62 @t46 @t114 @t100))) % 15.99/16.98 (assume @p133 (forall @t118 (or @t109 @t117 @t62 @t47 (tptp.rearsegP @t116 @t40)))) % 15.99/16.98 (assume @p134 (forall @t118 (or @t110 @t117 @t62 @t47 (tptp.frontsegP @t119 @t40)))) % 15.99/16.98 (assume @p135 (forall @t118 (or @t92 @t117 @t77 @t46 (tptp.memberP @t120 @t2)))) % 15.99/16.98 (assume @p136 (forall @t118 (or @t123 @t47 @t122 @t77 (tptp.memberP @t121 @t40)))) % 15.99/16.98 (assume @p137 (forall @t118 (or @t123 @t117 @t47 @t77 (tptp.memberP @t119 @t40)))) % 15.99/16.98 (assume @p138 (forall @t118 (or @t123 @t47 @t117 @t77 (tptp.memberP @t116 @t40)))) % 15.99/16.98 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 15.99/16.98 (assume @p140 (forall @t118 (or @t124 @t47 @t62 @t117 (tptp.rearsegP @t115 @t40)))) % 15.99/16.98 (assume @p141 (forall @t118 (or @t124 @t62 @t47 @t117 (tptp.frontsegP @t115 @t2)))) % 15.99/16.98 (assume @p142 (forall @t41 (or @t58 (not @t100) @t62 @t47 @t98))) % 15.99/16.98 (assume @p143 (forall @t118 (or @t85 (not (tptp.gt @t40 @t115)) @t122 @t77 @t46 (tptp.gt @t2 @t115)))) % 15.99/16.98 (assume @p144 (forall @t118 (or @t90 @t126 @t122 @t77 @t46 @t125))) % 15.99/16.98 (assume @p145 (forall @t118 (or @t88 (not (tptp.geq @t40 @t115)) @t122 @t77 @t46 (tptp.geq @t2 @t115)))) % 15.99/16.98 (assume @p146 (forall @t118 (or @t47 @t62 @t117 (= (tptp.app @t127 @t2) (tptp.app @t115 @t61))))) % 15.99/16.98 (assume @p147 (forall @t118 (or (not (= @t97 @t119)) @t62 @t47 @t117 @t128))) % 15.99/16.98 (assume @p148 (forall @t118 (or (not (= @t97 @t127)) @t47 @t62 @t117 @t129))) % 15.99/16.98 (assume @p149 (forall @t118 (or @t108 (not (tptp.segmentP @t40 @t115)) @t117 @t62 @t47 (tptp.segmentP @t2 @t115)))) % 15.99/16.98 (assume @p150 (forall @t118 (or @t109 (not (tptp.rearsegP @t40 @t115)) @t117 @t62 @t47 (tptp.rearsegP @t2 @t115)))) % 15.99/16.98 (assume @p151 (forall @t118 (or @t110 (not (tptp.frontsegP @t40 @t115)) @t117 @t62 @t47 (tptp.frontsegP @t2 @t115)))) % 15.99/16.98 (assume @p152 (forall @t118 (or @t80 @t126 @t122 @t77 @t46 @t125))) % 15.99/16.98 (assume @p153 (forall @t118 (or @t90 (not (tptp.leq @t40 @t115)) @t122 @t77 @t46 (tptp.leq @t2 @t115)))) % 15.99/16.98 (assume @p154 (forall @t118 (or @t46 @t62 @t117 (= (tptp.cons @t2 (tptp.app @t40 @t115)) (tptp.app @t63 @t115))))) % 15.99/16.98 (assume @p155 (forall @t118 (or (not (tptp.memberP @t97 @t115)) @t62 @t47 @t122 @t130 (tptp.memberP @t2 @t115)))) % 15.99/16.98 (assume @p156 (forall @t41 (or (not @t114) (not @t105) @t62 @t46 @t106 @t100))) % 15.99/16.98 (assume @p157 (forall @t41 (or (not @t113) (not @t102) @t62 @t46 @t103 @t100))) % 15.99/16.98 (assume @p158 (forall @t118 (or (not (tptp.memberP @t63 @t115)) @t62 @t46 @t122 @t130 (= @t115 @t2)))) % 15.99/16.98 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 15.99/16.98 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 15.99/16.98 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 15.99/16.98 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 15.99/16.98 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 15.99/16.98 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 15.99/16.98 (assume @p165 (forall @t41 (or @t108 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 15.99/16.98 (assume @p166 (forall @t41 (or @t123 @t77 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 15.99/16.98 (assume @p167 (forall @t135 (or @t134 @t122 @t46 @t132 @t62 @t129))) % 15.99/16.98 (assume @p168 (forall @t135 (or @t134 @t122 @t46 @t132 @t62 (= @t131 @t40)))) % 15.99/16.98 (assume @p169 (forall @t135 (or @t108 @t117 @t132 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t131 @t2) @t115) @t40)))) % 15.99/16.98 (assume @p170 (forall @t135 (or (not (= (tptp.app @t97 @t115) @t131)) @t117 @t47 @t62 @t132 (tptp.segmentP @t131 @t40)))) % 15.99/16.98 (assume @p171 (forall @t135 (or @t136 @t132 @t62 @t122 @t46 (tptp.frontsegP @t40 @t131)))) % 15.99/16.98 (assume @p172 (forall @t135 (or (not (= @t137 @t131)) @t117 @t47 @t77 @t132 (tptp.memberP @t131 @t40)))) % 15.99/16.98 (assume @p173 (forall @t135 (or @t136 @t132 @t62 @t122 @t46 @t129))) % 15.99/16.98 (assume @p174 (forall @t41 (or (not (= @t55 @t112)) (not (= @t56 @t101)) @t47 @t62 @t100 @t91 @t54))) % 15.99/16.98 (assume @p175 (forall @t135 (or @t110 (not (= @t115 @t131)) @t62 @t47 @t138 @t122 (tptp.frontsegP @t121 (tptp.cons @t131 @t40))))) % 15.99/16.98 (assume @p176 (forall @t141 (or (not (= (tptp.app @t137 (tptp.cons @t40 @t131)) @t139)) @t132 @t117 @t47 @t77 (not (tptp.duplicatefreeP @t139)) @t140))) % 15.99/16.98 (assume @p177 (forall @t141 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t133)) @t139)) @t132 @t47 @t122 @t77 (not (tptp.equalelemsP @t139)) @t140 @t128))) % 15.99/16.98 (assume @p178 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t77 (not (tptp.strictorderedP @t143)) @t144 @t142))) % 15.99/16.98 (assume @p179 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t77 (not (tptp.totalorderedP @t143)) @t144 @t147))) % 15.99/16.98 (assume @p180 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t77 (not (tptp.strictorderP @t143)) @t144 @t142 (tptp.lt @t131 @t40)))) % 15.99/16.98 (assume @p181 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t77 (not (tptp.totalorderP @t143)) @t144 @t147 (tptp.leq @t131 @t40)))) % 15.99/16.98 (assume @p182 (forall @t146 (or @t90 @t111 (not (= (tptp.app (tptp.app @t115 (tptp.cons @t2 @t131)) (tptp.cons @t40 @t139)) @t143)) @t140 @t132 @t117 @t77 @t46 (not (tptp.cyclefreeP @t143)) @t144))) % 15.99/16.98 (assume @p183 (tptp.ssList tptp.sk1)) % 15.99/16.98 (assume @p184 (tptp.ssList tptp.sk2)) % 15.99/16.98 (assume @p185 @t148) % 15.99/16.98 (assume @p186 @t149) % 15.99/16.98 (assume @p187 (= tptp.sk2 tptp.sk4)) % 15.99/16.98 (assume @p188 (= tptp.sk1 tptp.sk3)) % 15.99/16.98 (assume @p189 @t151) % 15.99/16.98 (assume @p190 (or @t150 @t153)) % 15.99/16.98 (assume @p191 (forall @t165 (or @t164 @t163 @t162 @t161 @t159 @t155 @t150))) % 15.99/16.98 (assume @p192 (or @t169 @t167 @t150)) % 15.99/16.98 (assume @p193 @t171) % 15.99/16.98 (assume @p194 @t172) % 15.99/16.98 (step @p195 :rule instantiate :premises (@p83) :args ((@list @t160 tptp.sk3))) % 15.99/16.98 (step @p196 :rule instantiate :premises (@p75) :args (@t173)) % 15.99/16.98 (step @p197 :rule aci_norm :args ((= (or false @t174 @t62 @t62) (or @t174 @t62)))) % 15.99/16.98 (step @p198 :rule refl :args (@t62)) % 15.99/16.98 (step @p199 :rule refl :args (@t174)) % 15.99/16.98 (step @p200 :rule evaluate :args ((not true))) % 15.99/16.98 (step @p201 :rule eq-refl :args (@t40)) % 15.99/16.98 (step @p202 :rule cong :premises (@p201) :args (@t175)) % 15.99/16.98 (step @p203 :rule trans :premises (@p202 @p200)) % 15.99/16.98 (step @p204 :rule nary_cong :premises (@p203 @p199 @p198 @p198) :args (@t176)) % 15.99/16.98 (step @p205 :rule trans :premises (@p204 @p197)) % 15.99/16.98 (step @p206 :rule cong :premises (@p205) :args ((forall @t177 @t176))) % 15.99/16.98 (step @p207 :rule quant-var-elim-eq :args ((= (forall @t4 @t178) @t176))) % 15.99/16.98 (step @p208 :rule aci_norm :args ((= @t95 @t178))) % 15.99/16.98 (step @p209 :rule cong :premises (@p208) :args (@t179)) % 15.99/16.98 (step @p210 :rule trans :premises (@p209 @p207)) % 15.99/16.98 (step @p211 :rule cong :premises (@p210) :args (@t180)) % 15.99/16.98 (step @p212 :rule quant-merge-prenex :args ((= @t180 @t181))) % 15.99/16.98 (step @p213 :rule symm :premises (@p212)) % 15.99/16.98 (step @p214 :rule quant_var_reordering :args ((= @t96 @t181))) % 15.99/16.98 (step @p215 :rule trans :premises (@p214 @p213 @p211)) % 15.99/16.98 (step @p216 :rule trans :premises (@p215 @p206)) % 15.99/16.98 (step @p217 :rule eq_resolve :premises (@p113 @p216)) % 15.99/16.98 (step @p218 :rule instantiate :premises (@p217) :args (@t173)) % 15.99/16.98 (step @p219 :rule cnf_or_pos :args (@t185)) % 15.99/16.98 (step @p220 :rule reordering :premises (@p219) :args ((or @t182 @t184 (not @t185)))) % 15.99/16.98 (step @p221 :rule chain_m_resolution :premises (@p220 @p186 @p218) :args (@t184 @t186 (@list @t149 @t185))) % 15.99/16.98 (step @p222 :rule refl :args (tptp.nil)) % 15.99/16.98 (step @p223 :rule cong :premises (@p187 @p222) :args (@t150)) % 15.99/16.98 (step @p224 :rule aci_norm :args ((= @t151 @t150))) % 15.99/16.98 (step @p225 :rule trans :premises (@p224 @p223)) % 15.99/16.98 (step @p226 :rule eq_resolve :premises (@p189 @p225)) % 15.99/16.98 (step @p227 :rule bool-double-not-elim :args (@t183)) % 15.99/16.98 (step @p228 :rule refl :args (@t188)) % 15.99/16.98 (step @p229 :rule refl :args (@t153)) % 15.99/16.98 (step @p230 :rule nary_cong :premises (@p229 @p228 @p227) :args ((or @t153 @t188 (not @t184)))) % 15.99/16.98 (assume-push @p514 @t152) % 15.99/16.98 (assume-push @p515 @t187) % 15.99/16.98 (assume-push @p516 @t184) % 15.99/16.98 (step @p234 :rule evaluate :args (@t189)) % 15.99/16.98 (step @p235 :rule true_intro :premises (@p226)) % 15.99/16.98 (step @p236 :rule symm :premises (@p515)) % 15.99/16.98 (step @p237 :rule refl :args (tptp.sk4)) % 15.99/16.98 (step @p238 :rule cong :premises (@p237 @p236) :args (@t183)) % 15.99/16.98 (step @p239 :rule false_intro :premises (@p221)) % 15.99/16.98 (step @p240 :rule symm :premises (@p239)) % 15.99/16.98 (step @p241 :rule trans :premises (@p240 @p238 @p235)) % 15.99/16.98 (step @p242 false :rule eq_resolve :premises (@p241 @p234)) % 15.99/16.98 (step-pop @p517 :rule scope :premises (@p242)) % 15.99/16.98 (step-pop @p518 :rule scope :premises (@p517)) % 15.99/16.98 (step-pop @p519 :rule scope :premises (@p518)) % 15.99/16.98 (step @p243 :rule process_scope :premises (@p519) :args (false)) % 15.99/16.98 (step @p247 :rule not_and :premises (@p243)) % 15.99/16.98 (step @p248 :rule eq_resolve :premises (@p247 @p230)) % 15.99/16.98 (step @p249 :rule chain_m_resolution :premises (@p248 @p226 @p221) :args (@t188 (@list false true) (@list @t152 @t183))) % 15.99/16.98 (step @p250 :rule cnf_or_pos :args (@t191)) % 15.99/16.98 (step @p251 :rule reordering :premises (@p250) :args ((or @t190 @t182 @t187 (not @t191)))) % 15.99/16.98 (step @p252 :rule chain_m_resolution :premises (@p251 @p186 @p249 @p196) :args (@t190 @t192 (@list @t149 @t187 @t191))) % 15.99/16.98 (step @p253 :rule cnf_or_pos :args (@t197)) % 15.99/16.98 (step @p254 :rule reordering :premises (@p253) :args ((or @t196 @t194 @t195 (not @t197)))) % 15.99/16.98 (step @p255 :rule chain_m_resolution :premises (@p254 @p252 @p185 @p195) :args (@t194 @t198 (@list @t190 @t148 @t197))) % 15.99/16.98 (step @p256 :rule eq-symm :args (@t40 @t2)) % 15.99/16.98 (step @p257 :rule refl :args (@t74)) % 15.99/16.98 (step @p258 :rule refl :args (@t47)) % 15.99/16.98 (step @p259 :rule nary_cong :premises (@p258 @p198 @p257 @p256) :args (@t75)) % 15.99/16.98 (step @p260 :rule cong :premises (@p259) :args (@t76)) % 15.99/16.98 (step @p261 :rule eq_resolve :premises (@p98 @p260)) % 15.99/16.98 (step @p262 :rule eq-symm :args (tptp.sk4 tptp.nil)) % 15.99/16.98 (step @p263 :rule refl :args (@t154)) % 15.99/16.98 (step @p264 :rule refl :args (@t199)) % 15.99/16.98 (step @p265 :rule refl :args (@t182)) % 15.99/16.98 (step @p266 :rule nary_cong :premises (@p265 @p264 @p263 @p262) :args (@t200)) % 15.99/16.98 (step @p267 :rule refl :args (@t201)) % 15.99/16.98 (step @p268 :rule cong :premises (@p267 @p266) :args ((=> @t201 @t200))) % 15.99/16.98 (assume-push @p520 @t201) % 15.99/16.98 (step @p270 :rule instantiate :premises (@p261) :args ((@list tptp.sk4 tptp.nil))) % 15.99/16.98 (step-pop @p521 :rule scope :premises (@p270)) % 15.99/16.98 (step @p271 :rule process_scope :premises (@p521) :args (@t200)) % 15.99/16.98 (step @p273 :rule eq_resolve :premises (@p271 @p268)) % 15.99/16.98 (step @p274 :rule implies_elim :premises (@p273)) % 15.99/16.98 (step @p275 :rule chain_m_resolution :premises (@p274 @p261) :args (@t202 (@list false) (@list @t201))) % 15.99/16.98 (step @p276 :rule cnf_or_pos :args (@t202)) % 15.99/16.98 (step @p277 :rule reordering :premises (@p276) :args ((or @t154 @t199 @t182 @t187 (not @t202)))) % 15.99/16.98 (step @p278 :rule bool-double-not-elim :args (@t154)) % 15.99/16.98 (step @p279 :rule nary_cong :premises (@p229 @p278 @p228) :args ((or @t153 (not @t155) @t188))) % 15.99/16.98 (assume-push @p522 @t152) % 15.99/16.98 (assume-push @p523 @t187) % 15.99/16.98 (assume-push @p524 @t155) % 15.99/16.98 (step @p234 :rule evaluate :args (@t189)) % 15.99/16.98 (step @p235 :rule true_intro :premises (@p226)) % 15.99/16.98 (step @p283 :rule symm :premises (@p523)) % 15.99/16.98 (step @p284 :rule cong :premises (@p523 @p283) :args (@t154)) % 15.99/16.98 (step @p285 :rule false_intro :premises (@p524)) % 15.99/16.98 (step @p286 :rule symm :premises (@p285)) % 15.99/16.98 (step @p287 :rule trans :premises (@p286 @p284 @p235)) % 15.99/16.98 (step @p288 false :rule eq_resolve :premises (@p287 @p234)) % 15.99/16.98 (step-pop @p525 :rule scope :premises (@p288)) % 15.99/16.98 (step-pop @p526 :rule scope :premises (@p525)) % 15.99/16.98 (step-pop @p527 :rule scope :premises (@p526)) % 15.99/16.98 (step @p289 :rule process_scope :premises (@p527) :args (false)) % 15.99/16.98 (assume-push @p528 @t152) % 15.99/16.98 (assume-push @p529 @t155) % 15.99/16.98 (assume-push @p530 @t187) % 15.99/16.98 (step @p296 :rule and_intro :premises (@p226 @p530 @p529)) % 15.99/16.98 (step-pop @p531 :rule scope :premises (@p296)) % 15.99/16.98 (step-pop @p532 :rule scope :premises (@p531)) % 15.99/16.98 (step-pop @p533 :rule scope :premises (@p532)) % 15.99/16.98 (step @p297 :rule process_scope :premises (@p533) :args (@t203)) % 15.99/16.98 (step @p301 :rule implies_elim :premises (@p297)) % 15.99/16.98 (step @p302 :rule resolution :premises (@p301 @p289) :args (true @t203)) % 15.99/16.98 (step @p303 :rule not_and :premises (@p302)) % 15.99/16.98 (step @p304 :rule eq_resolve :premises (@p303 @p279)) % 15.99/16.98 (step @p305 :rule chain_m_resolution :premises (@p304 @p226 @p277 @p275 @p186 @p8) :args (@t154 @t204 (@list @t152 @t187 @t202 @t149 @t1))) % 15.99/16.98 (step @p306 :rule aci_norm :args ((= (or @t155 @t153 @t207) (or @t155 @t153 @t196 @t206 @t205)))) % 15.99/16.98 (step @p307 :rule aci_norm :args ((= (or @t196 @t208) @t207))) % 15.99/16.98 (step @p308 :rule aci_norm :args ((= (or @t206 @t205 false) @t208))) % 15.99/16.98 (step @p309 :rule eq-refl :args (@t193)) % 15.99/16.98 (step @p310 :rule cong :premises (@p309) :args (@t209)) % 15.99/16.98 (step @p311 :rule trans :premises (@p310 @p200)) % 15.99/16.98 (step @p312 :rule refl :args (@t205)) % 15.99/16.98 (step @p313 :rule refl :args (@t206)) % 15.99/16.98 (step @p314 :rule nary_cong :premises (@p313 @p312 @p311) :args (@t210)) % 15.99/16.98 (step @p315 :rule trans :premises (@p314 @p308)) % 15.99/16.98 (step @p316 :rule quant-var-elim-eq :args ((= (forall @t213 @t212) @t210))) % 15.99/16.98 (step @p317 :rule aci_norm :args ((= @t214 @t212))) % 15.99/16.98 (step @p318 :rule cong :premises (@p317) :args (@t215)) % 15.99/16.98 (step @p319 :rule trans :premises (@p318 @p316)) % 15.99/16.98 (step @p320 :rule trans :premises (@p319 @p315)) % 15.99/16.98 (step @p321 :rule refl :args (@t196)) % 15.99/16.98 (step @p322 :rule nary_cong :premises (@p321 @p320) :args (@t216)) % 15.99/16.98 (step @p323 :rule trans :premises (@p322 @p307)) % 15.99/16.98 (step @p324 :rule quant-miniscope-or :args ((= (forall @t213 @t217) @t216))) % 15.99/16.98 (step @p325 :rule aci_norm :args ((= @t218 @t217))) % 15.99/16.98 (step @p326 :rule cong :premises (@p325) :args ((forall @t213 @t218))) % 15.99/16.98 (step @p327 :rule trans :premises (@p326 @p324)) % 15.99/16.98 (step @p328 :rule trans :premises (@p327 @p323)) % 15.99/16.98 (step @p329 :rule aci_norm :args ((= (or @t164 @t163 @t196 false @t211) @t218))) % 15.99/16.98 (step @p330 :rule refl :args (@t211)) % 15.99/16.98 (step @p331 :rule eq-refl :args (@t160)) % 15.99/16.98 (step @p332 :rule cong :premises (@p331) :args (@t219)) % 15.99/16.98 (step @p333 :rule trans :premises (@p332 @p200)) % 15.99/16.98 (step @p334 :rule refl :args (@t163)) % 15.99/16.98 (step @p335 :rule refl :args (@t164)) % 15.99/16.98 (step @p336 :rule nary_cong :premises (@p335 @p334 @p321 @p333 @p330) :args (@t220)) % 15.99/16.98 (step @p337 :rule trans :premises (@p336 @p329)) % 15.99/16.98 (step @p338 :rule cong :premises (@p337) :args ((forall @t213 @t220))) % 15.99/16.98 (step @p339 :rule trans :premises (@p338 @p328)) % 15.99/16.98 (step @p340 :rule quant-var-elim-eq :args ((= (forall @t224 @t223) @t220))) % 15.99/16.98 (step @p341 :rule aci_norm :args ((= @t225 @t223))) % 15.99/16.98 (step @p342 :rule cong :premises (@p341) :args (@t226)) % 15.99/16.98 (step @p343 :rule trans :premises (@p342 @p340)) % 15.99/16.98 (step @p344 :rule cong :premises (@p343) :args (@t227)) % 15.99/16.98 (step @p345 :rule quant-merge-prenex :args ((= @t227 @t228))) % 15.99/16.98 (step @p346 :rule symm :premises (@p345)) % 15.99/16.98 (step @p347 :rule trans :premises (@p346 @p344)) % 15.99/16.98 (step @p348 :rule trans :premises (@p347 @p339)) % 15.99/16.98 (step @p349 :rule refl :args (@t155)) % 15.99/16.98 (step @p350 :rule nary_cong :premises (@p349 @p229 @p348) :args (@t229)) % 15.99/16.98 (step @p351 :rule trans :premises (@p350 @p306)) % 15.99/16.98 (step @p352 :rule quant-miniscope-or :args ((= (forall @t165 @t230) @t229))) % 15.99/16.98 (step @p353 :rule aci_norm :args ((= @t231 @t230))) % 15.99/16.98 (step @p354 :rule cong :premises (@p353) :args ((forall @t165 @t231))) % 15.99/16.98 (step @p355 :rule trans :premises (@p354 @p352)) % 15.99/16.98 (step @p356 :rule trans :premises (@p355 @p351)) % 15.99/16.98 (step @p357 :rule eq-symm :args (@t158 @t156)) % 15.99/16.98 (step @p358 :rule cong :premises (@p357) :args (@t159)) % 15.99/16.98 (step @p359 :rule eq-symm :args (@t160 @t157)) % 15.99/16.98 (step @p360 :rule cong :premises (@p359) :args (@t161)) % 15.99/16.98 (step @p361 :rule refl :args (@t162)) % 15.99/16.98 (step @p362 :rule nary_cong :premises (@p335 @p334 @p361 @p360 @p358 @p349 @p229) :args (@t170)) % 15.99/16.98 (step @p363 :rule cong :premises (@p362) :args (@t171)) % 15.99/16.98 (step @p364 :rule trans :premises (@p363 @p356)) % 15.99/16.98 (step @p365 :rule eq_resolve :premises (@p193 @p364)) % 15.99/16.98 (step @p366 :rule reordering :premises (@p365) :args ((or @t153 @t155 @t196 @t206 @t205))) % 15.99/16.98 (step @p367 :rule chain_m_resolution :premises (@p366 @p226 @p305 @p252 @p255) :args (@t205 (@list false false false false) (@list @t152 @t154 @t190 @t194))) % 15.99/16.98 (step @p368 :rule instantiate :premises (@p261) :args ((@list tptp.nil tptp.sk3))) % 15.99/16.98 (step @p369 :rule refl :args (@t46)) % 15.99/16.98 (step @p370 :rule eq-symm :args (@t63 @t40)) % 15.99/16.98 (step @p371 :rule cong :premises (@p370) :args (@t70)) % 15.99/16.98 (step @p372 :rule nary_cong :premises (@p371 @p369 @p198) :args (@t71)) % 15.99/16.98 (step @p373 :rule cong :premises (@p372) :args (@t72)) % 15.99/16.98 (step @p374 :rule eq_resolve :premises (@p97 @p373)) % 15.99/16.98 (step @p375 :rule instantiate :premises (@p374) :args ((@list @t232 @t233))) % 15.99/16.98 (step @p376 :rule refl :args (@t54)) % 15.99/16.98 (step @p377 :rule eq-symm :args (@t81 @t2)) % 15.99/16.98 (step @p378 :rule nary_cong :premises (@p258 @p377 @p376) :args (@t82)) % 15.99/16.98 (step @p379 :rule cong :premises (@p378) :args (@t83)) % 15.99/16.98 (step @p380 :rule eq_resolve :premises (@p102 @p379)) % 15.99/16.98 (step @p381 :rule instantiate :premises (@p380) :args (@t173)) % 15.99/16.98 (step @p382 :rule cnf_or_pos :args (@t235)) % 15.99/16.98 (step @p383 :rule reordering :premises (@p382) :args ((or @t182 @t187 @t234 (not @t235)))) % 15.99/16.98 (step @p384 :rule chain_m_resolution :premises (@p383 @p186 @p249 @p381) :args (@t234 @t192 (@list @t149 @t187 @t235))) % 15.99/16.98 (assume-push @p534 @t149) % 15.99/16.98 (assume-push @p535 @t234) % 15.99/16.98 (assume-push @p536 @t149) % 15.99/16.98 (assume-push @p537 @t234) % 15.99/16.98 (step @p389 :rule true_intro :premises (@p186)) % 15.99/16.98 (step @p390 :rule symm :premises (@p535)) % 15.99/16.98 (step @p391 :rule cong :premises (@p390) :args (@t236)) % 15.99/16.98 (step @p392 :rule trans :premises (@p391 @p389)) % 15.99/16.98 (step @p393 :rule true_elim :premises (@p392)) % 15.99/16.98 (step-pop @p538 :rule scope :premises (@p393)) % 15.99/16.98 (step-pop @p539 :rule scope :premises (@p538)) % 15.99/16.98 (step @p394 :rule process_scope :premises (@p539) :args (@t236)) % 15.99/16.98 (step @p397 :rule and_intro :premises (@p186 @p535)) % 15.99/16.98 (step @p398 :rule modus_ponens :premises (@p397 @p394)) % 15.99/16.98 (step-pop @p540 :rule scope :premises (@p398)) % 15.99/16.98 (step-pop @p541 :rule scope :premises (@p540)) % 15.99/16.98 (step @p399 :rule process_scope :premises (@p541) :args (@t236)) % 15.99/16.98 (step @p402 :rule implies_elim :premises (@p399)) % 15.99/16.98 (step @p403 :rule cnf_and_neg :args (@t237)) % 15.99/16.98 (step @p404 :rule resolution :premises (@p403 @p402) :args (true @t237)) % 15.99/16.98 (step @p405 :rule chain_m_resolution :premises (@p404 @p186 @p384) :args (@t236 @t186 (@list @t149 @t234))) % 15.99/16.98 (step @p406 :rule instantiate :premises (@p76) :args (@t173)) % 15.99/16.98 (step @p407 :rule cnf_or_pos :args (@t239)) % 15.99/16.98 (step @p408 :rule reordering :premises (@p407) :args ((or @t182 @t187 @t238 (not @t239)))) % 15.99/16.98 (step @p409 :rule chain_m_resolution :premises (@p408 @p186 @p249 @p406) :args (@t238 @t192 (@list @t149 @t187 @t239))) % 15.99/16.98 (step @p410 :rule cnf_or_pos :args (@t244)) % 15.99/16.98 (step @p411 :rule reordering :premises (@p410) :args ((or @t241 @t243 @t240 (not @t244)))) % 15.99/16.98 (step @p412 :rule chain_m_resolution :premises (@p411 @p409 @p405 @p375) :args (@t243 @t198 (@list @t238 @t236 @t244))) % 15.99/16.98 (step @p413 :rule eq-symm :args (@t51 @t2)) % 15.99/16.98 (step @p414 :rule nary_cong :premises (@p258 @p413) :args (@t52)) % 15.99/16.98 (step @p415 :rule cong :premises (@p414) :args (@t53)) % 15.99/16.98 (step @p416 :rule eq_resolve :premises (@p74 @p415)) % 15.99/16.98 (step @p417 :rule instantiate :premises (@p416) :args ((@list @t160))) % 15.99/16.98 (step @p418 :rule cnf_or_pos :args (@t247)) % 15.99/16.98 (step @p419 :rule reordering :premises (@p418) :args ((or @t196 @t246 (not @t247)))) % 15.99/16.98 (step @p420 :rule chain_m_resolution :premises (@p419 @p252 @p417) :args (@t246 @t186 (@list @t190 @t247))) % 15.99/16.98 (assume-push @p542 @t205) % 15.99/16.98 (assume-push @p543 @t248) % 15.99/16.98 (assume-push @p544 @t246) % 15.99/16.98 (assume-push @p545 @t234) % 15.99/16.98 (assume-push @p546 @t234) % 15.99/16.98 (assume-push @p547 @t205) % 15.99/16.98 (assume-push @p548 @t248) % 15.99/16.98 (assume-push @p549 @t246) % 15.99/16.98 (step @p429 :rule symm :premises (@p542)) % 15.99/16.98 (step @p430 :rule refl :args (@t160)) % 15.99/16.98 (step @p431 :rule cong :premises (@p543 @p430) :args (@t245)) % 15.99/16.98 (step @p432 :rule trans :premises (@p544 @p431 @p429 @p545)) % 15.99/16.98 (step @p433 :rule refl :args (@t232)) % 15.99/16.98 (step @p434 :rule cong :premises (@p433 @p432) :args (@t233)) % 15.99/16.98 (step-pop @p550 :rule scope :premises (@p434)) % 15.99/16.98 (step-pop @p551 :rule scope :premises (@p550)) % 15.99/16.98 (step-pop @p552 :rule scope :premises (@p551)) % 15.99/16.98 (step-pop @p553 :rule scope :premises (@p552)) % 15.99/16.98 (step @p435 :rule process_scope :premises (@p553) :args (@t242)) % 15.99/16.98 (step @p440 :rule and_intro :premises (@p545 @p542 @p543 @p544)) % 15.99/16.98 (step @p441 :rule modus_ponens :premises (@p440 @p435)) % 15.99/16.98 (step-pop @p554 :rule scope :premises (@p441)) % 15.99/16.98 (step-pop @p555 :rule scope :premises (@p554)) % 15.99/16.98 (step-pop @p556 :rule scope :premises (@p555)) % 15.99/16.98 (step-pop @p557 :rule scope :premises (@p556)) % 15.99/16.98 (step @p442 :rule process_scope :premises (@p557) :args (@t242)) % 15.99/16.98 (step @p447 :rule implies_elim :premises (@p442)) % 15.99/16.98 (step @p448 :rule cnf_and_neg :args (@t249)) % 15.99/16.98 (step @p449 :rule resolution :premises (@p448 @p447) :args (true @t249)) % 15.99/16.98 (step @p450 :rule chain_m_resolution :premises (@p449 @p367 @p420 @p384 @p412) :args ((not @t248) (@list false false false true) (@list @t205 @t246 @t234 @t242))) % 15.99/16.98 (step @p451 :rule cnf_or_pos :args (@t251)) % 15.99/16.98 (step @p452 :rule reordering :premises (@p451) :args ((or @t199 @t250 @t195 @t248 (not @t251)))) % 15.99/16.98 (step @p453 :rule chain_m_resolution :premises (@p452 @p8 @p185 @p450 @p368) :args (@t250 @t252 (@list @t1 @t148 @t248 @t251))) % 15.99/16.98 (step @p454 :rule cong :premises (@p187 @p188) :args (@t166)) % 15.99/16.98 (step @p455 :rule cong :premises (@p454) :args (@t167)) % 15.99/16.98 (step @p456 :rule cong :premises (@p188 @p222) :args (@t168)) % 15.99/16.98 (step @p457 :rule cong :premises (@p456) :args (@t169)) % 15.99/16.98 (step @p458 :rule nary_cong :premises (@p457 @p455 @p229) :args (@t172)) % 15.99/16.98 (step @p459 :rule eq_resolve :premises (@p194 @p458)) % 15.99/16.98 (step @p460 :rule reordering :premises (@p459) :args ((or @t153 @t254 (not @t250)))) % 15.99/16.98 (step @p461 :rule chain_m_resolution :premises (@p460 @p226 @p453) :args (@t254 @t186 (@list @t152 @t250))) % 15.99/16.98 (step @p462 :rule instantiate :premises (@p416) :args (@t255)) % 15.99/16.98 (step @p463 :rule cnf_or_pos :args (@t258)) % 15.99/16.98 (step @p464 :rule reordering :premises (@p463) :args ((or @t195 @t257 (not @t258)))) % 15.99/16.98 (step @p465 :rule chain_m_resolution :premises (@p464 @p185 @p462) :args (@t257 @t186 (@list @t148 @t258))) % 15.99/16.98 (step @p466 :rule instantiate :premises (@p169) :args ((@list tptp.sk3 tptp.sk3 @t160 tptp.nil))) % 15.99/16.98 (step @p467 :rule instantiate :premises (@p57) :args (@t255)) % 15.99/16.98 (step @p468 :rule cnf_or_pos :args (@t260)) % 15.99/16.98 (step @p469 :rule reordering :premises (@p468) :args ((or @t195 @t259 (not @t260)))) % 15.99/16.98 (step @p470 :rule chain_m_resolution :premises (@p469 @p185 @p467) :args (@t259 @t186 (@list @t148 @t260))) % 15.99/16.98 (step @p471 :rule cnf_or_pos :args (@t263)) % 15.99/16.98 (step @p472 :rule factoring :premises (@p471)) % 15.99/16.98 (step @p473 :rule reordering :premises (@p472) :args ((or @t199 @t196 @t195 @t262 @t261 (not @t263)))) % 15.99/16.98 (step @p474 :rule chain_m_resolution :premises (@p473 @p8 @p252 @p185 @p470 @p466) :args (@t261 @t204 (@list @t1 @t190 @t148 @t259 @t263))) % 15.99/16.98 (step @p475 :rule refl :args (@t264)) % 15.99/16.98 (step @p476 :rule refl :args (@t265)) % 15.99/16.98 (step @p477 :rule bool-double-not-elim :args (@t253)) % 15.99/16.98 (step @p478 :rule refl :args (@t266)) % 15.99/16.98 (step @p479 :rule nary_cong :premises (@p478 @p477 @p476 @p475) :args ((or @t266 (not @t254) @t265 @t264))) % 15.99/16.98 (assume-push @p558 @t261) % 15.99/16.98 (assume-push @p559 @t257) % 15.99/16.98 (assume-push @p560 @t205) % 15.99/16.98 (assume-push @p561 @t254) % 15.99/16.98 (step @p234 :rule evaluate :args (@t189)) % 15.99/16.98 (step @p484 :rule true_intro :premises (@p558)) % 15.99/16.98 (step @p485 :rule refl :args (tptp.sk3)) % 15.99/16.98 (step @p430 :rule refl :args (@t160)) % 15.99/16.98 (step @p486 :rule cong :premises (@p465 @p430) :args (@t193)) % 15.99/16.98 (step @p487 :rule trans :premises (@p560 @p486)) % 15.99/16.98 (step @p488 :rule cong :premises (@p487 @p485) :args (@t253)) % 15.99/16.98 (step @p489 :rule false_intro :premises (@p561)) % 15.99/16.98 (step @p490 :rule symm :premises (@p489)) % 15.99/16.98 (step @p491 :rule trans :premises (@p490 @p488 @p484)) % 15.99/16.98 (step @p492 false :rule eq_resolve :premises (@p491 @p234)) % 15.99/16.98 (step-pop @p562 :rule scope :premises (@p492)) % 15.99/16.98 (step-pop @p563 :rule scope :premises (@p562)) % 15.99/16.98 (step-pop @p564 :rule scope :premises (@p563)) % 15.99/16.98 (step-pop @p565 :rule scope :premises (@p564)) % 15.99/16.98 (step @p493 :rule process_scope :premises (@p565) :args (false)) % 15.99/16.98 (assume-push @p566 @t205) % 15.99/16.98 (assume-push @p567 @t254) % 15.99/16.98 (assume-push @p568 @t257) % 15.99/16.98 (assume-push @p569 @t261) % 15.99/16.98 (step @p502 :rule and_intro :premises (@p569 @p465 @p566 @p567)) % 15.99/16.98 (step-pop @p570 :rule scope :premises (@p502)) % 15.99/16.98 (step-pop @p571 :rule scope :premises (@p570)) % 15.99/16.98 (step-pop @p572 :rule scope :premises (@p571)) % 15.99/16.98 (step-pop @p573 :rule scope :premises (@p572)) % 15.99/16.98 (step @p503 :rule process_scope :premises (@p573) :args (@t267)) % 15.99/16.98 (step @p508 :rule implies_elim :premises (@p503)) % 15.99/16.98 (step @p509 :rule resolution :premises (@p508 @p493) :args (true @t267)) % 15.99/16.98 (step @p510 :rule not_and :premises (@p509)) % 15.99/16.98 (step @p511 :rule eq_resolve :premises (@p510 @p479)) % 15.99/16.98 (step @p512 :rule reordering :premises (@p511) :args ((or @t253 @t266 @t265 @t264))) % 15.99/16.98 (step @p513 false :rule chain_m_resolution :premises (@p512 @p474 @p465 @p461 @p367) :args (false @t252 (@list @t261 @t257 @t253 @t205))) % 15.99/16.98 ) % 15.99/16.98 % SZS output end Proof % 15.99/16.98 % cvc5 exiting %------------------------------------------------------------------------------