%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC374-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:59:04 AM UTC 2026 % Result : Unsatisfiable 12.95s 13.18s % Output : Proof 13.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC374-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.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 19:45:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 12.95/13.18 % SZS status Unsatisfiable % 12.95/13.18 % SZS output start Proof % 13.00/13.20 ( % 13.00/13.20 (declare-sort $$unsorted 0) % 13.00/13.20 (declare-const tptp.sk4 $$unsorted) % 13.00/13.20 (declare-const tptp.sk2 $$unsorted) % 13.00/13.20 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.nil $$unsorted) % 13.00/13.20 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.sk1 $$unsorted) % 13.00/13.20 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skac2 $$unsorted) % 13.00/13.20 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.sk3 $$unsorted) % 13.00/13.20 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.sk5 $$unsorted) % 13.00/13.20 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.ssList (-> $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skac3 $$unsorted) % 13.00/13.20 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 13.00/13.20 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 13.00/13.20 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 13.00/13.21 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 13.00/13.21 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 13.00/13.21 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 13.00/13.21 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 13.00/13.21 (define @t1 () (tptp.ssList tptp.nil)) % 13.00/13.21 (define @t2 () (@var "U" $$unsorted)) % 13.00/13.21 (define @t3 () (tptp.skaf83 @t2)) % 13.00/13.21 (define @t4 () (@list @t2)) % 13.00/13.21 (define @t5 () (tptp.skaf82 @t2)) % 13.00/13.21 (define @t6 () (tptp.skaf81 @t2)) % 13.00/13.21 (define @t7 () (tptp.skaf80 @t2)) % 13.00/13.21 (define @t8 () (tptp.skaf79 @t2)) % 13.00/13.21 (define @t9 () (tptp.skaf78 @t2)) % 13.00/13.21 (define @t10 () (tptp.skaf77 @t2)) % 13.00/13.21 (define @t11 () (tptp.skaf76 @t2)) % 13.00/13.21 (define @t12 () (tptp.skaf75 @t2)) % 13.00/13.21 (define @t13 () (tptp.skaf74 @t2)) % 13.00/13.21 (define @t14 () (tptp.skaf73 @t2)) % 13.00/13.21 (define @t15 () (tptp.skaf72 @t2)) % 13.00/13.21 (define @t16 () (tptp.skaf71 @t2)) % 13.00/13.21 (define @t17 () (tptp.skaf70 @t2)) % 13.00/13.21 (define @t18 () (tptp.skaf69 @t2)) % 13.00/13.21 (define @t19 () (tptp.skaf68 @t2)) % 13.00/13.21 (define @t20 () (tptp.skaf67 @t2)) % 13.00/13.21 (define @t21 () (tptp.skaf66 @t2)) % 13.00/13.21 (define @t22 () (tptp.skaf65 @t2)) % 13.00/13.21 (define @t23 () (tptp.skaf64 @t2)) % 13.00/13.21 (define @t24 () (tptp.skaf63 @t2)) % 13.00/13.21 (define @t25 () (tptp.skaf62 @t2)) % 13.00/13.21 (define @t26 () (tptp.skaf61 @t2)) % 13.00/13.21 (define @t27 () (tptp.skaf60 @t2)) % 13.00/13.21 (define @t28 () (tptp.skaf59 @t2)) % 13.00/13.21 (define @t29 () (tptp.skaf58 @t2)) % 13.00/13.21 (define @t30 () (tptp.skaf57 @t2)) % 13.00/13.21 (define @t31 () (tptp.skaf56 @t2)) % 13.00/13.21 (define @t32 () (tptp.skaf55 @t2)) % 13.00/13.21 (define @t33 () (tptp.skaf54 @t2)) % 13.00/13.21 (define @t34 () (tptp.skaf53 @t2)) % 13.00/13.21 (define @t35 () (tptp.skaf52 @t2)) % 13.00/13.21 (define @t36 () (tptp.skaf51 @t2)) % 13.00/13.21 (define @t37 () (tptp.skaf50 @t2)) % 13.00/13.21 (define @t38 () (tptp.skaf49 @t2)) % 13.00/13.21 (define @t39 () (tptp.skaf44 @t2)) % 13.00/13.21 (define @t40 () (@var "V" $$unsorted)) % 13.00/13.21 (define @t41 () (@list @t2 @t40)) % 13.00/13.21 (define @t42 () (tptp.skaf47 @t2 @t40)) % 13.00/13.21 (define @t43 () (tptp.skaf46 @t2 @t40)) % 13.00/13.21 (define @t44 () (tptp.skaf45 @t2 @t40)) % 13.00/13.21 (define @t45 () (tptp.skaf42 @t2 @t40)) % 13.00/13.21 (define @t46 () (not (tptp.ssItem @t2))) % 13.00/13.21 (define @t47 () (not (tptp.ssList @t2))) % 13.00/13.21 (define @t48 () (tptp.cons @t2 tptp.nil)) % 13.00/13.21 (define @t49 () (tptp.ssItem @t40)) % 13.00/13.21 (define @t50 () (tptp.duplicatefreeP @t2)) % 13.00/13.21 (define @t51 () (= tptp.nil @t2)) % 13.00/13.21 (define @t52 () (tptp.tl @t2)) % 13.00/13.21 (define @t53 () (tptp.hd @t2)) % 13.00/13.21 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 13.00/13.21 (define @t55 () (not @t51)) % 13.00/13.21 (define @t56 () (or @t55 @t47 @t54)) % 13.00/13.21 (define @t57 () (forall @t4 @t56)) % 13.00/13.21 (define @t58 () (tptp.rearsegP tptp.nil @t2)) % 13.00/13.21 (define @t59 () (tptp.frontsegP tptp.nil @t2)) % 13.00/13.21 (define @t60 () (tptp.app @t40 @t2)) % 13.00/13.21 (define @t61 () (not (tptp.ssList @t40))) % 13.00/13.21 (define @t62 () (tptp.cons @t2 @t40)) % 13.00/13.21 (define @t63 () (tptp.cyclefreeP @t2)) % 13.00/13.21 (define @t64 () (tptp.equalelemsP @t2)) % 13.00/13.21 (define @t65 () (tptp.strictorderedP @t2)) % 13.00/13.21 (define @t66 () (tptp.totalorderedP @t2)) % 13.00/13.21 (define @t67 () (tptp.strictorderP @t2)) % 13.00/13.21 (define @t68 () (tptp.totalorderP @t2)) % 13.00/13.21 (define @t69 () (= @t40 @t2)) % 13.00/13.21 (define @t70 () (tptp.neq @t40 @t2)) % 13.00/13.21 (define @t71 () (not @t49)) % 13.00/13.21 (define @t72 () (tptp.leq @t2 @t40)) % 13.00/13.21 (define @t73 () (tptp.lt @t2 @t40)) % 13.00/13.21 (define @t74 () (not @t73)) % 13.00/13.21 (define @t75 () (tptp.lt @t40 @t2)) % 13.00/13.21 (define @t76 () (not (tptp.gt @t2 @t40))) % 13.00/13.21 (define @t77 () (tptp.gt @t40 @t2)) % 13.00/13.21 (define @t78 () (tptp.leq @t40 @t2)) % 13.00/13.21 (define @t79 () (not (tptp.geq @t2 @t40))) % 13.00/13.21 (define @t80 () (tptp.geq @t40 @t2)) % 13.00/13.21 (define @t81 () (not @t72)) % 13.00/13.21 (define @t82 () (= @t2 @t40)) % 13.00/13.21 (define @t83 () (not @t82)) % 13.00/13.21 (define @t84 () (tptp.cons @t40 @t2)) % 13.00/13.21 (define @t85 () (not (tptp.neq @t2 @t40))) % 13.00/13.21 (define @t86 () (tptp.app @t2 @t40)) % 13.00/13.21 (define @t87 () (= @t86 tptp.nil)) % 13.00/13.21 (define @t88 () (not @t87)) % 13.00/13.21 (define @t89 () (or @t88 @t61 @t47 @t51)) % 13.00/13.21 (define @t90 () (forall @t41 @t89)) % 13.00/13.21 (define @t91 () (= tptp.nil @t40)) % 13.00/13.21 (define @t92 () (tptp.app @t48 @t40)) % 13.00/13.21 (define @t93 () (or @t46 @t61 (= @t92 @t62))) % 13.00/13.21 (define @t94 () (forall @t41 @t93)) % 13.00/13.21 (define @t95 () (tptp.hd @t40)) % 13.00/13.21 (define @t96 () (tptp.strictorderedP @t40)) % 13.00/13.21 (define @t97 () (tptp.strictorderedP @t62)) % 13.00/13.21 (define @t98 () (not @t97)) % 13.00/13.21 (define @t99 () (tptp.totalorderedP @t40)) % 13.00/13.21 (define @t100 () (tptp.totalorderedP @t62)) % 13.00/13.21 (define @t101 () (not @t100)) % 13.00/13.21 (define @t102 () (not (tptp.segmentP @t2 @t40))) % 13.00/13.21 (define @t103 () (not (tptp.rearsegP @t2 @t40))) % 13.00/13.21 (define @t104 () (not (tptp.frontsegP @t2 @t40))) % 13.00/13.21 (define @t105 () (not @t78)) % 13.00/13.21 (define @t106 () (tptp.tl @t40)) % 13.00/13.21 (define @t107 () (tptp.lt @t2 @t95)) % 13.00/13.21 (define @t108 () (tptp.leq @t2 @t95)) % 13.00/13.21 (define @t109 () (@var "W" $$unsorted)) % 13.00/13.21 (define @t110 () (tptp.app @t109 @t2)) % 13.00/13.21 (define @t111 () (not (tptp.ssList @t109))) % 13.00/13.21 (define @t112 () (@list @t2 @t40 @t109)) % 13.00/13.21 (define @t113 () (tptp.app @t2 @t109)) % 13.00/13.21 (define @t114 () (tptp.cons @t40 @t109)) % 13.00/13.21 (define @t115 () (tptp.cons @t109 @t2)) % 13.00/13.21 (define @t116 () (not (tptp.ssItem @t109))) % 13.00/13.21 (define @t117 () (not (tptp.memberP @t2 @t40))) % 13.00/13.21 (define @t118 () (not (= @t86 @t109))) % 13.00/13.21 (define @t119 () (tptp.lt @t2 @t109)) % 13.00/13.21 (define @t120 () (not (tptp.lt @t40 @t109))) % 13.00/13.21 (define @t121 () (tptp.app @t109 @t40)) % 13.00/13.21 (define @t122 () (= @t40 @t109)) % 13.00/13.21 (define @t123 () (= @t2 @t109)) % 13.00/13.21 (define @t124 () (tptp.memberP @t40 @t109)) % 13.00/13.21 (define @t125 () (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2))) % 13.00/13.21 (define @t126 () (or @t102 @t61 @t47 (= @t125 @t2))) % 13.00/13.21 (define @t127 () (forall @t41 @t126)) % 13.00/13.21 (define @t128 () (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2)))) % 13.00/13.21 (define @t129 () (or @t117 @t71 @t47 (= @t128 @t2))) % 13.00/13.21 (define @t130 () (forall @t41 @t129)) % 13.00/13.21 (define @t131 () (@var "X" $$unsorted)) % 13.00/13.21 (define @t132 () (not (tptp.ssList @t131))) % 13.00/13.21 (define @t133 () (tptp.cons @t109 @t131)) % 13.00/13.21 (define @t134 () (not (= @t62 @t133))) % 13.00/13.21 (define @t135 () (@list @t2 @t40 @t109 @t131)) % 13.00/13.21 (define @t136 () (tptp.segmentP @t131 @t40)) % 13.00/13.21 (define @t137 () (tptp.app @t86 @t109)) % 13.00/13.21 (define @t138 () (not (= @t137 @t131))) % 13.00/13.21 (define @t139 () (or @t138 @t111 @t47 @t61 @t132 @t136)) % 13.00/13.21 (define @t140 () (forall @t135 @t139)) % 13.00/13.21 (define @t141 () (not (tptp.frontsegP @t62 @t133))) % 13.00/13.21 (define @t142 () (tptp.app @t2 @t114)) % 13.00/13.21 (define @t143 () (not (tptp.ssItem @t131))) % 13.00/13.21 (define @t144 () (@var "Y" $$unsorted)) % 13.00/13.21 (define @t145 () (not (tptp.ssList @t144))) % 13.00/13.21 (define @t146 () (@list @t2 @t40 @t109 @t131 @t144)) % 13.00/13.21 (define @t147 () (tptp.lt @t40 @t131)) % 13.00/13.21 (define @t148 () (@var "Z" $$unsorted)) % 13.00/13.21 (define @t149 () (not (tptp.ssList @t148))) % 13.00/13.21 (define @t150 () (not (= (tptp.app @t142 (tptp.cons @t131 @t144)) @t148))) % 13.00/13.21 (define @t151 () (@list @t2 @t40 @t109 @t131 @t144 @t148)) % 13.00/13.21 (define @t152 () (tptp.leq @t40 @t131)) % 13.00/13.21 (define @t153 () (tptp.ssList tptp.sk1)) % 13.00/13.21 (define @t154 () (tptp.ssList tptp.sk2)) % 13.00/13.21 (define @t155 () (tptp.ssList tptp.sk4)) % 13.00/13.21 (define @t156 () (= tptp.sk2 tptp.sk4)) % 13.00/13.21 (define @t157 () (= tptp.sk1 tptp.sk3)) % 13.00/13.21 (define @t158 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 13.00/13.21 (define @t159 () (not @t158)) % 13.00/13.21 (define @t160 () (= tptp.nil tptp.sk4)) % 13.00/13.21 (define @t161 () (tptp.ssItem tptp.sk5)) % 13.00/13.21 (define @t162 () (= tptp.nil tptp.sk3)) % 13.00/13.21 (define @t163 () (tptp.cons tptp.sk5 tptp.nil)) % 13.00/13.21 (define @t164 () (= @t163 tptp.sk3)) % 13.00/13.21 (define @t165 () (or @t164 @t160)) % 13.00/13.21 (define @t166 () (tptp.memberP tptp.sk4 tptp.sk5)) % 13.00/13.21 (define @t167 () (or @t164 @t162)) % 13.00/13.21 (define @t168 () (@list tptp.sk4 tptp.sk5)) % 13.00/13.21 (define @t169 () (tptp.skaf48 tptp.nil tptp.nil)) % 13.00/13.21 (define @t170 () (tptp.skaf47 tptp.nil tptp.nil)) % 13.00/13.21 (define @t171 () (tptp.app @t170 tptp.nil)) % 13.00/13.21 (define @t172 () (@list tptp.nil tptp.nil)) % 13.00/13.21 (define @t173 () (tptp.ssList @t171)) % 13.00/13.21 (define @t174 () (tptp.ssList @t170)) % 13.00/13.21 (define @t175 () (not @t174)) % 13.00/13.21 (define @t176 () (not @t1)) % 13.00/13.21 (define @t177 () (or @t176 @t175 @t173)) % 13.00/13.21 (define @t178 () (@list false false false)) % 13.00/13.21 (define @t179 () (tptp.segmentP tptp.nil tptp.nil)) % 13.00/13.21 (define @t180 () (not (= tptp.nil tptp.nil))) % 13.00/13.21 (define @t181 () (or @t180 @t176 @t179)) % 13.00/13.21 (define @t182 () (or @t55 @t55 @t47 @t54)) % 13.00/13.21 (define @t183 () (= tptp.nil (tptp.app @t171 @t169))) % 13.00/13.21 (define @t184 () (not @t179)) % 13.00/13.21 (define @t185 () (or @t184 @t176 @t176 @t183)) % 13.00/13.21 (define @t186 () (= tptp.nil @t171)) % 13.00/13.21 (define @t187 () (not @t173)) % 13.00/13.21 (define @t188 () (tptp.ssList @t169)) % 13.00/13.21 (define @t189 () (not @t188)) % 13.00/13.21 (define @t190 () (not @t183)) % 13.00/13.21 (define @t191 () (or @t190 @t189 @t187 @t186)) % 13.00/13.21 (define @t192 () (@list false false false false)) % 13.00/13.21 (define @t193 () (= tptp.sk3 @t163)) % 13.00/13.21 (define @t194 () (not @t162)) % 13.00/13.21 (define @t195 () (not @t160)) % 13.00/13.21 (define @t196 () (not @t157)) % 13.00/13.21 (define @t197 () (not @t156)) % 13.00/13.21 (define @t198 () (not @t159)) % 13.00/13.21 (define @t199 () (and @t179 @t160 @t156 @t162 @t157 @t159)) % 13.00/13.21 (define @t200 () (tptp.skaf43 tptp.sk5 tptp.sk4)) % 13.00/13.21 (define @t201 () (tptp.cons tptp.sk5 @t200)) % 13.00/13.21 (define @t202 () (tptp.skaf42 tptp.sk4 tptp.sk5)) % 13.00/13.21 (define @t203 () (= tptp.sk4 (tptp.app @t202 @t201))) % 13.00/13.21 (define @t204 () (not @t155)) % 13.00/13.21 (define @t205 () (not @t161)) % 13.00/13.21 (define @t206 () (not @t166)) % 13.00/13.21 (define @t207 () (or @t206 @t205 @t204 @t203)) % 13.00/13.21 (define @t208 () (tptp.app @t163 @t200)) % 13.00/13.21 (define @t209 () (= @t201 @t208)) % 13.00/13.21 (define @t210 () (tptp.ssList @t200)) % 13.00/13.21 (define @t211 () (not @t210)) % 13.00/13.21 (define @t212 () (or @t205 @t211 @t209)) % 13.00/13.21 (define @t213 () (tptp.cons tptp.sk5 @t171)) % 13.00/13.21 (define @t214 () (tptp.ssList @t163)) % 13.00/13.21 (define @t215 () (and @t153 @t157 @t193 @t186)) % 13.00/13.21 (define @t216 () (not @t193)) % 13.00/13.21 (define @t217 () (tptp.app @t202 @t208)) % 13.00/13.21 (define @t218 () (tptp.app (tptp.app @t202 @t163) @t200)) % 13.00/13.21 (define @t219 () (= @t218 @t217)) % 13.00/13.21 (define @t220 () (tptp.ssList @t202)) % 13.00/13.21 (define @t221 () (not @t220)) % 13.00/13.21 (define @t222 () (not @t214)) % 13.00/13.21 (define @t223 () (or @t211 @t222 @t221 @t219)) % 13.00/13.21 (define @t224 () (tptp.ssList @t218)) % 13.00/13.21 (define @t225 () (and @t154 @t156 @t203 @t209 @t219)) % 13.00/13.21 (define @t226 () (tptp.segmentP @t218 @t163)) % 13.00/13.21 (define @t227 () (not @t226)) % 13.00/13.21 (define @t228 () (not @t219)) % 13.00/13.21 (define @t229 () (not @t209)) % 13.00/13.21 (define @t230 () (not @t203)) % 13.00/13.21 (define @t231 () (and @t156 @t157 @t159 @t193 @t203 @t209 @t219)) % 13.00/13.21 (define @t232 () (tptp.segmentP @t137 @t40)) % 13.00/13.21 (define @t233 () (not (tptp.ssList @t137))) % 13.00/13.21 (define @t234 () (not (= @t137 @t137))) % 13.00/13.21 (define @t235 () (or @t234 @t111 @t47 @t61 @t233 @t232)) % 13.00/13.21 (define @t236 () (not (= @t131 @t137))) % 13.00/13.21 (define @t237 () (or @t236 @t236 @t111 @t47 @t61 @t132 @t136)) % 13.00/13.21 (define @t238 () (@list @t131)) % 13.00/13.21 (define @t239 () (or @t236 @t111 @t47 @t61 @t132 @t136)) % 13.00/13.21 (define @t240 () (forall @t238 @t239)) % 13.00/13.21 (define @t241 () (forall @t112 @t240)) % 13.00/13.21 (define @t242 () (not @t224)) % 13.00/13.21 (define @t243 () (or @t211 @t221 @t222 @t242 @t226)) % 13.00/13.21 (define @t244 () (@list true)) % 13.00/13.21 (define @t245 () (@list @t162)) % 13.00/13.21 (assume @p1 (tptp.equalelemsP tptp.nil)) % 13.00/13.21 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 13.00/13.21 (assume @p3 (tptp.strictorderedP tptp.nil)) % 13.00/13.21 (assume @p4 (tptp.totalorderedP tptp.nil)) % 13.00/13.21 (assume @p5 (tptp.strictorderP tptp.nil)) % 13.00/13.21 (assume @p6 (tptp.totalorderP tptp.nil)) % 13.00/13.21 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 13.00/13.21 (assume @p8 @t1) % 13.00/13.21 (assume @p9 (tptp.ssItem tptp.skac3)) % 13.00/13.21 (assume @p10 (tptp.ssItem tptp.skac2)) % 13.00/13.21 (assume @p11 (not (tptp.singletonP tptp.nil))) % 13.00/13.21 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 13.00/13.21 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 13.00/13.21 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 13.00/13.21 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 13.00/13.21 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 13.00/13.21 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 13.00/13.21 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 13.00/13.21 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 13.00/13.21 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 13.00/13.21 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 13.00/13.21 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 13.00/13.21 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 13.00/13.21 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 13.00/13.21 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 13.00/13.21 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 13.00/13.21 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 13.00/13.21 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 13.00/13.21 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 13.00/13.21 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 13.00/13.21 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 13.00/13.21 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 13.00/13.21 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 13.00/13.21 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 13.00/13.21 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 13.00/13.21 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 13.00/13.21 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 13.00/13.21 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 13.00/13.21 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 13.00/13.21 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 13.00/13.21 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 13.00/13.21 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 13.00/13.21 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 13.00/13.21 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 13.00/13.21 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 13.00/13.21 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 13.00/13.21 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 13.00/13.21 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 13.00/13.21 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 13.00/13.21 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 13.00/13.21 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 13.00/13.21 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 13.00/13.21 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 13.00/13.21 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 13.00/13.21 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 13.00/13.21 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 13.00/13.21 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 13.00/13.21 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 13.00/13.21 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 13.00/13.21 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 13.00/13.21 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 13.00/13.21 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 13.00/13.21 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 13.00/13.21 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 13.00/13.21 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 13.00/13.21 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 13.00/13.21 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 13.00/13.21 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 13.00/13.21 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 13.00/13.21 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 13.00/13.21 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 13.00/13.21 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 13.00/13.21 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 13.00/13.21 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 13.00/13.21 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 13.00/13.21 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 13.00/13.21 (assume @p77 @t57) % 13.00/13.21 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 13.00/13.21 (assume @p79 (forall @t4 (or @t55 @t47 @t58))) % 13.00/13.21 (assume @p80 (forall @t4 (or (not @t58) @t47 @t51))) % 13.00/13.21 (assume @p81 (forall @t4 (or @t55 @t47 @t59))) % 13.00/13.21 (assume @p82 (forall @t4 (or (not @t59) @t47 @t51))) % 13.00/13.21 (assume @p83 (forall @t41 (or @t47 @t61 (tptp.ssList @t60)))) % 13.00/13.21 (assume @p84 (forall @t41 (or @t46 @t61 (tptp.ssList @t62)))) % 13.00/13.21 (assume @p85 (forall @t4 (or @t47 @t63 (tptp.leq @t37 @t38)))) % 13.00/13.21 (assume @p86 (forall @t4 (or @t47 @t63 (tptp.leq @t38 @t37)))) % 13.00/13.21 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t64))) % 13.00/13.21 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t65))) % 13.00/13.21 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t66))) % 13.00/13.21 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t67))) % 13.00/13.21 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t67))) % 13.00/13.21 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t68))) % 13.00/13.21 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t68))) % 13.00/13.21 (assume @p94 (forall @t41 (or @t46 @t61 (= (tptp.tl @t62) @t40)))) % 13.00/13.21 (assume @p95 (forall @t41 (or @t46 @t61 (= (tptp.hd @t62) @t2)))) % 13.00/13.21 (assume @p96 (forall @t41 (or (not (= @t62 tptp.nil)) @t46 @t61))) % 13.00/13.21 (assume @p97 (forall @t41 (or (not (= @t62 @t40)) @t46 @t61))) % 13.00/13.21 (assume @p98 (forall @t41 (or @t47 @t61 @t70 @t69))) % 13.00/13.21 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 13.00/13.21 (assume @p100 (forall @t41 (or @t46 @t71 @t70 @t69))) % 13.00/13.21 (assume @p101 (forall @t41 (or @t74 @t71 @t46 @t72))) % 13.00/13.21 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 13.00/13.21 (assume @p103 (forall @t41 (or @t76 @t71 @t46 @t75))) % 13.00/13.21 (assume @p104 (forall @t41 (or @t74 @t46 @t71 @t77))) % 13.00/13.21 (assume @p105 (forall @t41 (or @t79 @t71 @t46 @t78))) % 13.00/13.21 (assume @p106 (forall @t41 (or @t81 @t46 @t71 @t80))) % 13.00/13.21 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 13.00/13.21 (assume @p108 (forall @t41 (or @t76 (not @t77) @t46 @t71))) % 13.00/13.21 (assume @p109 (forall @t41 (or @t83 @t74 @t71 @t46))) % 13.00/13.21 (assume @p110 (forall @t41 (or @t55 @t47 @t71 (tptp.strictorderedP @t84)))) % 13.00/13.21 (assume @p111 (forall @t41 (or @t55 @t47 @t71 (tptp.totalorderedP @t84)))) % 13.00/13.21 (assume @p112 (forall @t41 (or @t74 (not @t75) @t46 @t71))) % 13.00/13.21 (assume @p113 (forall @t41 (or @t83 @t85 @t61 @t47))) % 13.00/13.21 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t61 (tptp.singletonP @t40)))) % 13.00/13.21 (assume @p115 (forall @t41 (or @t83 @t85 @t71 @t46))) % 13.00/13.21 (assume @p116 @t90) % 13.00/13.21 (assume @p117 (forall @t41 (or @t88 @t61 @t47 @t91))) % 13.00/13.21 (assume @p118 @t94) % 13.00/13.21 (assume @p119 (forall @t41 (or @t81 @t71 @t46 @t73 @t82))) % 13.00/13.21 (assume @p120 (forall @t41 (or @t47 @t61 @t91 (= (tptp.hd @t60) @t95)))) % 13.00/13.21 (assume @p121 (forall @t41 (or @t98 @t61 @t46 @t96 @t91))) % 13.00/13.21 (assume @p122 (forall @t41 (or @t101 @t61 @t46 @t99 @t91))) % 13.00/13.21 (assume @p123 (forall @t41 (or @t79 (not @t80) @t46 @t71 @t69))) % 13.00/13.21 (assume @p124 (forall @t41 (or @t102 (not (tptp.segmentP @t40 @t2)) @t47 @t61 @t69))) % 13.00/13.21 (assume @p125 (forall @t41 (or @t103 (not (tptp.rearsegP @t40 @t2)) @t47 @t61 @t69))) % 13.00/13.21 (assume @p126 (forall @t41 (or @t104 (not (tptp.frontsegP @t40 @t2)) @t47 @t61 @t69))) % 13.00/13.21 (assume @p127 (forall @t41 (or @t81 @t105 @t46 @t71 @t69))) % 13.00/13.21 (assume @p128 (forall @t41 (or @t103 @t61 @t47 (= (tptp.app @t43 @t40) @t2)))) % 13.00/13.21 (assume @p129 (forall @t41 (or @t104 @t61 @t47 (= (tptp.app @t40 @t44) @t2)))) % 13.00/13.21 (assume @p130 (forall @t41 (or @t47 @t61 @t91 (= (tptp.tl @t60) (tptp.app @t106 @t2))))) % 13.00/13.21 (assume @p131 (forall @t41 (or @t98 @t61 @t46 @t107 @t91))) % 13.00/13.21 (assume @p132 (forall @t41 (or @t101 @t61 @t46 @t108 @t91))) % 13.00/13.21 (assume @p133 (forall @t112 (or @t103 @t111 @t61 @t47 (tptp.rearsegP @t110 @t40)))) % 13.00/13.21 (assume @p134 (forall @t112 (or @t104 @t111 @t61 @t47 (tptp.frontsegP @t113 @t40)))) % 13.00/13.21 (assume @p135 (forall @t112 (or @t83 @t111 @t71 @t46 (tptp.memberP @t114 @t2)))) % 13.00/13.21 (assume @p136 (forall @t112 (or @t117 @t47 @t116 @t71 (tptp.memberP @t115 @t40)))) % 13.00/13.21 (assume @p137 (forall @t112 (or @t117 @t111 @t47 @t71 (tptp.memberP @t113 @t40)))) % 13.00/13.21 (assume @p138 (forall @t112 (or @t117 @t47 @t111 @t71 (tptp.memberP @t110 @t40)))) % 13.00/13.21 (assume @p139 (forall @t4 (or @t47 @t64 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 13.00/13.21 (assume @p140 (forall @t112 (or @t118 @t47 @t61 @t111 (tptp.rearsegP @t109 @t40)))) % 13.00/13.21 (assume @p141 (forall @t112 (or @t118 @t61 @t47 @t111 (tptp.frontsegP @t109 @t2)))) % 13.00/13.21 (assume @p142 (forall @t41 (or @t55 (not @t91) @t61 @t47 @t87))) % 13.00/13.21 (assume @p143 (forall @t112 (or @t76 (not (tptp.gt @t40 @t109)) @t116 @t71 @t46 (tptp.gt @t2 @t109)))) % 13.00/13.21 (assume @p144 (forall @t112 (or @t81 @t120 @t116 @t71 @t46 @t119))) % 13.00/13.21 (assume @p145 (forall @t112 (or @t79 (not (tptp.geq @t40 @t109)) @t116 @t71 @t46 (tptp.geq @t2 @t109)))) % 13.00/13.21 (assume @p146 (forall @t112 (or @t47 @t61 @t111 (= (tptp.app @t121 @t2) (tptp.app @t109 @t60))))) % 13.00/13.21 (assume @p147 (forall @t112 (or (not (= @t86 @t113)) @t61 @t47 @t111 @t122))) % 13.00/13.21 (assume @p148 (forall @t112 (or (not (= @t86 @t121)) @t47 @t61 @t111 @t123))) % 13.00/13.21 (assume @p149 (forall @t112 (or @t102 (not (tptp.segmentP @t40 @t109)) @t111 @t61 @t47 (tptp.segmentP @t2 @t109)))) % 13.00/13.21 (assume @p150 (forall @t112 (or @t103 (not (tptp.rearsegP @t40 @t109)) @t111 @t61 @t47 (tptp.rearsegP @t2 @t109)))) % 13.00/13.21 (assume @p151 (forall @t112 (or @t104 (not (tptp.frontsegP @t40 @t109)) @t111 @t61 @t47 (tptp.frontsegP @t2 @t109)))) % 13.00/13.21 (assume @p152 (forall @t112 (or @t74 @t120 @t116 @t71 @t46 @t119))) % 13.00/13.21 (assume @p153 (forall @t112 (or @t81 (not (tptp.leq @t40 @t109)) @t116 @t71 @t46 (tptp.leq @t2 @t109)))) % 13.00/13.21 (assume @p154 (forall @t112 (or @t46 @t61 @t111 (= (tptp.cons @t2 (tptp.app @t40 @t109)) (tptp.app @t62 @t109))))) % 13.00/13.21 (assume @p155 (forall @t112 (or (not (tptp.memberP @t86 @t109)) @t61 @t47 @t116 @t124 (tptp.memberP @t2 @t109)))) % 13.00/13.21 (assume @p156 (forall @t41 (or (not @t108) (not @t99) @t61 @t46 @t100 @t91))) % 13.00/13.21 (assume @p157 (forall @t41 (or (not @t107) (not @t96) @t61 @t46 @t97 @t91))) % 13.00/13.21 (assume @p158 (forall @t112 (or (not (tptp.memberP @t62 @t109)) @t61 @t46 @t116 @t124 (= @t109 @t2)))) % 13.00/13.21 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 13.00/13.21 (assume @p160 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 13.00/13.21 (assume @p161 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 13.00/13.21 (assume @p162 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 13.00/13.21 (assume @p163 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 13.00/13.21 (assume @p164 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 13.00/13.21 (assume @p165 @t127) % 13.00/13.21 (assume @p166 @t130) % 13.00/13.21 (assume @p167 (forall @t135 (or @t134 @t116 @t46 @t132 @t61 @t123))) % 13.00/13.21 (assume @p168 (forall @t135 (or @t134 @t116 @t46 @t132 @t61 (= @t131 @t40)))) % 13.00/13.21 (assume @p169 (forall @t135 (or @t102 @t111 @t132 @t61 @t47 (tptp.segmentP (tptp.app (tptp.app @t131 @t2) @t109) @t40)))) % 13.00/13.21 (assume @p170 @t140) % 13.00/13.21 (assume @p171 (forall @t135 (or @t141 @t132 @t61 @t116 @t46 (tptp.frontsegP @t40 @t131)))) % 13.00/13.21 (assume @p172 (forall @t135 (or (not (= @t142 @t131)) @t111 @t47 @t71 @t132 (tptp.memberP @t131 @t40)))) % 13.00/13.21 (assume @p173 (forall @t135 (or @t141 @t132 @t61 @t116 @t46 @t123))) % 13.00/13.21 (assume @p174 (forall @t41 (or (not (= @t52 @t106)) (not (= @t53 @t95)) @t47 @t61 @t91 @t82 @t51))) % 13.00/13.21 (assume @p175 (forall @t135 (or @t104 (not (= @t109 @t131)) @t61 @t47 @t143 @t116 (tptp.frontsegP @t115 (tptp.cons @t131 @t40))))) % 13.00/13.21 (assume @p176 (forall @t146 (or (not (= (tptp.app @t142 (tptp.cons @t40 @t131)) @t144)) @t132 @t111 @t47 @t71 (not (tptp.duplicatefreeP @t144)) @t145))) % 13.00/13.21 (assume @p177 (forall @t146 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t133)) @t144)) @t132 @t47 @t116 @t71 (not (tptp.equalelemsP @t144)) @t145 @t122))) % 13.00/13.21 (assume @p178 (forall @t151 (or @t150 @t145 @t111 @t47 @t143 @t71 (not (tptp.strictorderedP @t148)) @t149 @t147))) % 13.00/13.21 (assume @p179 (forall @t151 (or @t150 @t145 @t111 @t47 @t143 @t71 (not (tptp.totalorderedP @t148)) @t149 @t152))) % 13.00/13.21 (assume @p180 (forall @t151 (or @t150 @t145 @t111 @t47 @t143 @t71 (not (tptp.strictorderP @t148)) @t149 @t147 (tptp.lt @t131 @t40)))) % 13.00/13.21 (assume @p181 (forall @t151 (or @t150 @t145 @t111 @t47 @t143 @t71 (not (tptp.totalorderP @t148)) @t149 @t152 (tptp.leq @t131 @t40)))) % 13.00/13.21 (assume @p182 (forall @t151 (or @t81 @t105 (not (= (tptp.app (tptp.app @t109 (tptp.cons @t2 @t131)) (tptp.cons @t40 @t144)) @t148)) @t145 @t132 @t111 @t71 @t46 (not (tptp.cyclefreeP @t148)) @t149))) % 13.00/13.21 (assume @p183 @t153) % 13.00/13.21 (assume @p184 @t154) % 13.00/13.21 (assume @p185 (tptp.ssList tptp.sk3)) % 13.00/13.21 (assume @p186 @t155) % 13.00/13.21 (assume @p187 @t156) % 13.00/13.21 (assume @p188 @t157) % 13.00/13.21 (assume @p189 @t159) % 13.00/13.21 (assume @p190 (or @t161 @t160)) % 13.00/13.21 (assume @p191 (or @t161 @t162)) % 13.00/13.21 (assume @p192 @t165) % 13.00/13.21 (assume @p193 (or @t166 @t160)) % 13.00/13.21 (assume @p194 @t167) % 13.00/13.21 (assume @p195 (or @t166 @t162)) % 13.00/13.21 (step @p196 :rule instantiate :premises (@p52) :args ((@list tptp.sk5 tptp.sk4))) % 13.00/13.21 (step @p197 :rule instantiate :premises (@p53) :args (@t168)) % 13.00/13.21 (step @p198 :rule refl :args (@t51)) % 13.00/13.21 (step @p199 :rule refl :args (@t47)) % 13.00/13.21 (step @p200 :rule refl :args (@t61)) % 13.00/13.21 (step @p201 :rule eq-symm :args (@t86 tptp.nil)) % 13.00/13.21 (step @p202 :rule cong :premises (@p201) :args (@t88)) % 13.00/13.21 (step @p203 :rule nary_cong :premises (@p202 @p200 @p199 @p198) :args (@t89)) % 13.00/13.21 (step @p204 :rule cong :premises (@p203) :args (@t90)) % 13.00/13.21 (step @p205 :rule eq_resolve :premises (@p116 @p204)) % 13.00/13.21 (step @p206 :rule instantiate :premises (@p205) :args ((@list @t171 @t169))) % 13.00/13.21 (step @p207 :rule instantiate :premises (@p83) :args ((@list tptp.nil @t170))) % 13.00/13.21 (step @p208 :rule instantiate :premises (@p49) :args (@t172)) % 13.00/13.21 (step @p209 :rule cnf_or_pos :args (@t177)) % 13.00/13.21 (step @p210 :rule reordering :premises (@p209) :args ((or @t176 @t175 @t173 (not @t177)))) % 13.00/13.21 (step @p211 :rule chain_m_resolution :premises (@p210 @p8 @p208 @p207) :args (@t173 @t178 (@list @t1 @t174 @t177))) % 13.00/13.21 (step @p212 :rule instantiate :premises (@p48) :args (@t172)) % 13.00/13.21 (step @p213 :rule eq-symm :args (@t125 @t2)) % 13.00/13.21 (step @p214 :rule refl :args (@t102)) % 13.00/13.21 (step @p215 :rule nary_cong :premises (@p214 @p200 @p199 @p213) :args (@t126)) % 13.00/13.21 (step @p216 :rule cong :premises (@p215) :args (@t127)) % 13.00/13.21 (step @p217 :rule eq_resolve :premises (@p165 @p216)) % 13.00/13.21 (step @p218 :rule instantiate :premises (@p217) :args (@t172)) % 13.00/13.21 (step @p219 :rule aci_norm :args ((= (or false @t176 @t179) (or @t176 @t179)))) % 13.00/13.21 (step @p220 :rule refl :args (@t179)) % 13.00/13.21 (step @p221 :rule refl :args (@t176)) % 13.00/13.21 (step @p222 :rule evaluate :args ((not true))) % 13.00/13.21 (step @p223 :rule eq-refl :args (tptp.nil)) % 13.00/13.21 (step @p224 :rule cong :premises (@p223) :args (@t180)) % 13.00/13.21 (step @p225 :rule trans :premises (@p224 @p222)) % 13.00/13.21 (step @p226 :rule nary_cong :premises (@p225 @p221 @p220) :args (@t181)) % 13.00/13.21 (step @p227 :rule trans :premises (@p226 @p219)) % 13.00/13.21 (step @p228 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t55 @t47 @t54)) @t181))) % 13.00/13.21 (step @p229 :rule refl :args (@t54)) % 13.00/13.21 (step @p230 :rule refl :args (@t47)) % 13.00/13.21 (step @p231 :rule refl :args (@t55)) % 13.00/13.21 (step @p232 :rule eq-symm :args (tptp.nil @t2)) % 13.00/13.21 (step @p233 :rule cong :premises (@p232) :args (@t55)) % 13.00/13.21 (step @p234 :rule nary_cong :premises (@p233 @p231 @p230 @p229) :args (@t182)) % 13.00/13.21 (step @p235 :rule aci_norm :args ((= @t56 @t182))) % 13.00/13.21 (step @p236 :rule trans :premises (@p235 @p234)) % 13.00/13.21 (step @p237 :rule cong :premises (@p236) :args (@t57)) % 13.00/13.21 (step @p238 :rule trans :premises (@p237 @p228)) % 13.00/13.21 (step @p239 :rule trans :premises (@p238 @p227)) % 13.00/13.21 (step @p240 :rule eq_resolve :premises (@p77 @p239)) % 13.00/13.21 (step @p241 :rule chain_m_resolution :premises (@p240 @p8) :args (@t179 (@list false) (@list @t1))) % 13.00/13.21 (step @p242 :rule cnf_or_pos :args (@t185)) % 13.00/13.21 (step @p243 :rule factoring :premises (@p242)) % 13.00/13.21 (step @p244 :rule reordering :premises (@p243) :args ((or @t176 @t184 @t183 (not @t185)))) % 13.00/13.21 (step @p245 :rule chain_m_resolution :premises (@p244 @p8 @p241 @p218) :args (@t183 @t178 (@list @t1 @t179 @t185))) % 13.00/13.21 (step @p246 :rule cnf_or_pos :args (@t191)) % 13.00/13.21 (step @p247 :rule reordering :premises (@p246) :args ((or @t190 @t186 @t189 @t187 (not @t191)))) % 13.00/13.21 (step @p248 :rule chain_m_resolution :premises (@p247 @p245 @p212 @p211 @p206) :args (@t186 @t192 (@list @t183 @t188 @t173 @t191))) % 13.00/13.21 (step @p249 :rule refl :args (@t160)) % 13.00/13.21 (step @p250 :rule eq-symm :args (@t163 tptp.sk3)) % 13.00/13.21 (step @p251 :rule nary_cong :premises (@p250 @p249) :args (@t165)) % 13.00/13.21 (step @p252 :rule eq_resolve :premises (@p192 @p251)) % 13.00/13.21 (step @p253 :rule reordering :premises (@p252) :args ((or @t160 @t193))) % 13.00/13.21 (step @p254 :rule reordering :premises (@p193) :args ((or @t160 @t166))) % 13.00/13.21 (step @p255 :rule reordering :premises (@p195) :args ((or @t162 @t166))) % 13.00/13.21 (step @p256 :rule refl :args (@t184)) % 13.00/13.21 (step @p257 :rule refl :args (@t194)) % 13.00/13.21 (step @p258 :rule refl :args (@t195)) % 13.00/13.21 (step @p259 :rule bool-double-not-elim :args (@t158)) % 13.00/13.21 (step @p260 :rule refl :args (@t196)) % 13.00/13.21 (step @p261 :rule refl :args (@t197)) % 13.00/13.21 (step @p262 :rule nary_cong :premises (@p261 @p260 @p259 @p258 @p257 @p256) :args ((or @t197 @t196 @t198 @t195 @t194 @t184))) % 13.00/13.21 (assume-push @p497 @t179) % 13.00/13.21 (assume-push @p498 @t160) % 13.00/13.21 (assume-push @p499 @t156) % 13.00/13.21 (assume-push @p500 @t162) % 13.00/13.21 (assume-push @p501 @t157) % 13.00/13.21 (assume-push @p502 @t159) % 13.00/13.21 (step @p269 :rule evaluate :args ((= false true))) % 13.00/13.21 (step @p270 :rule true_intro :premises (@p241)) % 13.00/13.21 (step @p271 :rule symm :premises (@p500)) % 13.00/13.21 (step @p272 :rule trans :premises (@p188 @p271)) % 13.00/13.21 (step @p273 :rule symm :premises (@p498)) % 13.00/13.21 (step @p274 :rule trans :premises (@p187 @p273)) % 13.00/13.21 (step @p275 :rule cong :premises (@p274 @p272) :args (@t158)) % 13.00/13.21 (step @p276 :rule false_intro :premises (@p189)) % 13.00/13.21 (step @p277 :rule symm :premises (@p276)) % 13.00/13.21 (step @p278 :rule trans :premises (@p277 @p275 @p270)) % 13.00/13.21 (step @p279 false :rule eq_resolve :premises (@p278 @p269)) % 13.00/13.21 (step-pop @p503 :rule scope :premises (@p279)) % 13.00/13.21 (step-pop @p504 :rule scope :premises (@p503)) % 13.00/13.21 (step-pop @p505 :rule scope :premises (@p504)) % 13.00/13.21 (step-pop @p506 :rule scope :premises (@p505)) % 13.00/13.21 (step-pop @p507 :rule scope :premises (@p506)) % 13.00/13.21 (step-pop @p508 :rule scope :premises (@p507)) % 13.00/13.21 (step @p280 :rule process_scope :premises (@p508) :args (false)) % 13.00/13.21 (assume-push @p509 @t156) % 13.00/13.21 (assume-push @p510 @t157) % 13.00/13.21 (assume-push @p511 @t159) % 13.00/13.21 (assume-push @p512 @t160) % 13.00/13.21 (assume-push @p513 @t162) % 13.00/13.21 (assume-push @p514 @t179) % 13.00/13.21 (step @p293 :rule and_intro :premises (@p241 @p512 @p187 @p513 @p188 @p189)) % 13.00/13.21 (step-pop @p515 :rule scope :premises (@p293)) % 13.00/13.21 (step-pop @p516 :rule scope :premises (@p515)) % 13.00/13.21 (step-pop @p517 :rule scope :premises (@p516)) % 13.00/13.21 (step-pop @p518 :rule scope :premises (@p517)) % 13.00/13.21 (step-pop @p519 :rule scope :premises (@p518)) % 13.00/13.21 (step-pop @p520 :rule scope :premises (@p519)) % 13.00/13.21 (step @p294 :rule process_scope :premises (@p520) :args (@t199)) % 13.00/13.21 (step @p301 :rule implies_elim :premises (@p294)) % 13.00/13.21 (step @p302 :rule resolution :premises (@p301 @p280) :args (true @t199)) % 13.00/13.21 (step @p303 :rule not_and :premises (@p302)) % 13.00/13.21 (step @p304 :rule eq_resolve :premises (@p303 @p262)) % 13.00/13.21 (step @p305 :rule reordering :premises (@p304) :args ((or @t158 @t184 @t197 @t196 @t195 @t194))) % 13.00/13.21 (step @p306 :rule chain_m_resolution :premises (@p305 @p189 @p188 @p187 @p241 @p255 @p254) :args (@t166 (@list true false false false false false) (@list @t158 @t157 @t156 @t179 @t162 @t160))) % 13.00/13.21 (step @p307 :rule eq-symm :args (@t128 @t2)) % 13.00/13.21 (step @p308 :rule refl :args (@t71)) % 13.00/13.21 (step @p309 :rule refl :args (@t117)) % 13.00/13.21 (step @p310 :rule nary_cong :premises (@p309 @p308 @p199 @p307) :args (@t129)) % 13.00/13.21 (step @p311 :rule cong :premises (@p310) :args (@t130)) % 13.00/13.21 (step @p312 :rule eq_resolve :premises (@p166 @p311)) % 13.00/13.21 (step @p313 :rule instantiate :premises (@p312) :args (@t168)) % 13.00/13.21 (step @p314 :rule cnf_or_pos :args (@t207)) % 13.00/13.21 (step @p315 :rule reordering :premises (@p314) :args ((or @t204 @t205 @t206 @t203 (not @t207)))) % 13.00/13.21 (step @p316 :rule eq-symm :args (@t92 @t62)) % 13.00/13.21 (step @p317 :rule refl :args (@t46)) % 13.00/13.21 (step @p318 :rule nary_cong :premises (@p317 @p200 @p316) :args (@t93)) % 13.00/13.21 (step @p319 :rule cong :premises (@p318) :args (@t94)) % 13.00/13.21 (step @p320 :rule eq_resolve :premises (@p118 @p319)) % 13.00/13.21 (step @p321 :rule instantiate :premises (@p320) :args ((@list tptp.sk5 @t200))) % 13.00/13.21 (step @p322 :rule cnf_or_pos :args (@t212)) % 13.00/13.21 (step @p323 :rule reordering :premises (@p322) :args ((or @t205 @t211 @t209 (not @t212)))) % 13.00/13.21 (assume-push @p521 @t153) % 13.00/13.21 (assume-push @p522 @t157) % 13.00/13.21 (assume-push @p523 @t193) % 13.00/13.21 (assume-push @p524 @t186) % 13.00/13.21 (assume-push @p525 @t153) % 13.00/13.21 (assume-push @p526 @t157) % 13.00/13.21 (assume-push @p527 @t193) % 13.00/13.21 (assume-push @p528 @t186) % 13.00/13.21 (step @p332 :rule true_intro :premises (@p183)) % 13.00/13.21 (step @p333 :rule symm :premises (@p188)) % 13.00/13.21 (step @p334 :rule symm :premises (@p523)) % 13.00/13.21 (step @p335 :rule symm :premises (@p248)) % 13.00/13.21 (step @p336 :rule refl :args (tptp.sk5)) % 13.00/13.21 (step @p337 :rule cong :premises (@p336 @p335) :args (@t213)) % 13.00/13.21 (step @p338 :rule trans :premises (@p337 @p334 @p333)) % 13.00/13.21 (step @p339 :rule cong :premises (@p338) :args ((tptp.ssList @t213))) % 13.00/13.21 (step @p340 :rule symm :premises (@p337)) % 13.00/13.21 (step @p341 :rule cong :premises (@p340) :args (@t214)) % 13.00/13.21 (step @p342 :rule trans :premises (@p341 @p339 @p332)) % 13.00/13.21 (step @p343 :rule true_elim :premises (@p342)) % 13.00/13.21 (step-pop @p529 :rule scope :premises (@p343)) % 13.00/13.21 (step-pop @p530 :rule scope :premises (@p529)) % 13.00/13.21 (step-pop @p531 :rule scope :premises (@p530)) % 13.00/13.21 (step-pop @p532 :rule scope :premises (@p531)) % 13.00/13.21 (step @p344 :rule process_scope :premises (@p532) :args (@t214)) % 13.00/13.21 (step @p349 :rule and_intro :premises (@p183 @p188 @p523 @p248)) % 13.00/13.21 (step @p350 :rule modus_ponens :premises (@p349 @p344)) % 13.00/13.21 (step-pop @p533 :rule scope :premises (@p350)) % 13.00/13.21 (step-pop @p534 :rule scope :premises (@p533)) % 13.00/13.21 (step-pop @p535 :rule scope :premises (@p534)) % 13.00/13.21 (step-pop @p536 :rule scope :premises (@p535)) % 13.00/13.21 (step @p351 :rule process_scope :premises (@p536) :args (@t214)) % 13.00/13.21 (step @p356 :rule implies_elim :premises (@p351)) % 13.00/13.21 (step @p357 :rule cnf_and_neg :args (@t215)) % 13.00/13.21 (step @p358 :rule resolution :premises (@p357 @p356) :args (true @t215)) % 13.00/13.21 (step @p359 :rule reordering :premises (@p358) :args ((or (not @t153) @t196 @t216 @t214 (not @t186)))) % 13.00/13.21 (step @p360 :rule instantiate :premises (@p146) :args ((@list @t200 @t163 @t202))) % 13.00/13.21 (step @p361 :rule cnf_or_pos :args (@t223)) % 13.00/13.21 (step @p362 :rule reordering :premises (@p361) :args ((or @t222 @t211 @t221 @t219 (not @t223)))) % 13.00/13.21 (assume-push @p537 @t154) % 13.00/13.21 (assume-push @p538 @t156) % 13.00/13.21 (assume-push @p539 @t203) % 13.00/13.21 (assume-push @p540 @t209) % 13.00/13.21 (assume-push @p541 @t219) % 13.00/13.21 (assume-push @p542 @t154) % 13.00/13.21 (assume-push @p543 @t156) % 13.00/13.21 (assume-push @p544 @t203) % 13.00/13.21 (assume-push @p545 @t209) % 13.00/13.21 (assume-push @p546 @t219) % 13.00/13.21 (step @p373 :rule true_intro :premises (@p184)) % 13.00/13.21 (step @p374 :rule symm :premises (@p187)) % 13.00/13.21 (step @p375 :rule symm :premises (@p539)) % 13.00/13.21 (step @p376 :rule symm :premises (@p540)) % 13.00/13.21 (step @p377 :rule refl :args (@t202)) % 13.00/13.21 (step @p378 :rule cong :premises (@p377 @p376) :args (@t217)) % 13.00/13.21 (step @p379 :rule trans :premises (@p541 @p378 @p375 @p374)) % 13.00/13.21 (step @p380 :rule cong :premises (@p379) :args (@t224)) % 13.00/13.21 (step @p381 :rule trans :premises (@p380 @p373)) % 13.00/13.21 (step @p382 :rule true_elim :premises (@p381)) % 13.00/13.21 (step-pop @p547 :rule scope :premises (@p382)) % 13.00/13.21 (step-pop @p548 :rule scope :premises (@p547)) % 13.00/13.21 (step-pop @p549 :rule scope :premises (@p548)) % 13.00/13.21 (step-pop @p550 :rule scope :premises (@p549)) % 13.00/13.21 (step-pop @p551 :rule scope :premises (@p550)) % 13.00/13.21 (step @p383 :rule process_scope :premises (@p551) :args (@t224)) % 13.00/13.21 (step @p389 :rule and_intro :premises (@p184 @p187 @p539 @p540 @p541)) % 13.00/13.21 (step @p390 :rule modus_ponens :premises (@p389 @p383)) % 13.00/13.21 (step-pop @p552 :rule scope :premises (@p390)) % 13.00/13.21 (step-pop @p553 :rule scope :premises (@p552)) % 13.00/13.21 (step-pop @p554 :rule scope :premises (@p553)) % 13.00/13.21 (step-pop @p555 :rule scope :premises (@p554)) % 13.00/13.21 (step-pop @p556 :rule scope :premises (@p555)) % 13.00/13.21 (step @p391 :rule process_scope :premises (@p556) :args (@t224)) % 13.00/13.21 (step @p397 :rule implies_elim :premises (@p391)) % 13.00/13.21 (step @p398 :rule cnf_and_neg :args (@t225)) % 13.00/13.21 (step @p399 :rule resolution :premises (@p398 @p397) :args (true @t225)) % 13.00/13.21 (step @p400 :rule refl :args (@t227)) % 13.00/13.21 (step @p401 :rule refl :args (@t228)) % 13.00/13.21 (step @p402 :rule refl :args (@t229)) % 13.00/13.21 (step @p403 :rule refl :args (@t230)) % 13.00/13.21 (step @p404 :rule refl :args (@t216)) % 13.00/13.21 (step @p405 :rule nary_cong :premises (@p261 @p260 @p259 @p404 @p403 @p402 @p401 @p400) :args ((or @t197 @t196 @t198 @t216 @t230 @t229 @t228 @t227))) % 13.00/13.21 (assume-push @p557 @t156) % 13.00/13.21 (assume-push @p558 @t157) % 13.00/13.21 (assume-push @p559 @t159) % 13.00/13.21 (assume-push @p560 @t193) % 13.00/13.21 (assume-push @p561 @t203) % 13.00/13.21 (assume-push @p562 @t209) % 13.00/13.21 (assume-push @p563 @t219) % 13.00/13.21 (assume-push @p564 @t159) % 13.00/13.21 (assume-push @p565 @t156) % 13.00/13.21 (assume-push @p566 @t203) % 13.00/13.21 (assume-push @p567 @t209) % 13.00/13.21 (assume-push @p568 @t219) % 13.00/13.21 (assume-push @p569 @t157) % 13.00/13.21 (assume-push @p570 @t193) % 13.00/13.21 (step @p276 :rule false_intro :premises (@p189)) % 13.00/13.21 (step @p333 :rule symm :premises (@p188)) % 13.00/13.21 (step @p420 :rule symm :premises (@p560)) % 13.00/13.21 (step @p421 :rule trans :premises (@p420 @p333)) % 13.00/13.21 (step @p374 :rule symm :premises (@p187)) % 13.00/13.21 (step @p422 :rule symm :premises (@p561)) % 13.00/13.21 (step @p423 :rule symm :premises (@p562)) % 13.00/13.21 (step @p377 :rule refl :args (@t202)) % 13.00/13.21 (step @p424 :rule cong :premises (@p377 @p423) :args (@t217)) % 13.00/13.21 (step @p425 :rule trans :premises (@p563 @p424 @p422 @p374)) % 13.00/13.21 (step @p426 :rule cong :premises (@p425 @p421) :args (@t226)) % 13.00/13.21 (step @p427 :rule trans :premises (@p426 @p276)) % 13.00/13.21 (step @p428 :rule false_elim :premises (@p427)) % 13.00/13.21 (step-pop @p571 :rule scope :premises (@p428)) % 13.00/13.21 (step-pop @p572 :rule scope :premises (@p571)) % 13.00/13.21 (step-pop @p573 :rule scope :premises (@p572)) % 13.00/13.21 (step-pop @p574 :rule scope :premises (@p573)) % 13.00/13.21 (step-pop @p575 :rule scope :premises (@p574)) % 13.00/13.21 (step-pop @p576 :rule scope :premises (@p575)) % 13.00/13.21 (step-pop @p577 :rule scope :premises (@p576)) % 13.00/13.21 (step @p429 :rule process_scope :premises (@p577) :args (@t227)) % 13.00/13.21 (step @p437 :rule and_intro :premises (@p189 @p187 @p561 @p562 @p563 @p188 @p560)) % 13.00/13.21 (step @p438 :rule modus_ponens :premises (@p437 @p429)) % 13.00/13.21 (step-pop @p578 :rule scope :premises (@p438)) % 13.00/13.21 (step-pop @p579 :rule scope :premises (@p578)) % 13.00/13.21 (step-pop @p580 :rule scope :premises (@p579)) % 13.00/13.21 (step-pop @p581 :rule scope :premises (@p580)) % 13.00/13.21 (step-pop @p582 :rule scope :premises (@p581)) % 13.00/13.21 (step-pop @p583 :rule scope :premises (@p582)) % 13.00/13.21 (step-pop @p584 :rule scope :premises (@p583)) % 13.00/13.21 (step @p439 :rule process_scope :premises (@p584) :args (@t227)) % 13.00/13.21 (step @p447 :rule implies_elim :premises (@p439)) % 13.00/13.21 (step @p448 :rule cnf_and_neg :args (@t231)) % 13.00/13.21 (step @p449 :rule resolution :premises (@p448 @p447) :args (true @t231)) % 13.00/13.21 (step @p450 :rule eq_resolve :premises (@p449 @p405)) % 13.00/13.21 (step @p451 :rule reordering :premises (@p450) :args ((or @t158 @t197 @t196 @t216 @t230 @t229 @t228 @t227))) % 13.00/13.21 (step @p452 :rule aci_norm :args ((= (or false @t111 @t47 @t61 @t233 @t232) (or @t111 @t47 @t61 @t233 @t232)))) % 13.00/13.21 (step @p453 :rule refl :args (@t232)) % 13.00/13.21 (step @p454 :rule refl :args (@t233)) % 13.00/13.21 (step @p455 :rule refl :args (@t111)) % 13.00/13.21 (step @p456 :rule eq-refl :args (@t137)) % 13.00/13.21 (step @p457 :rule cong :premises (@p456) :args (@t234)) % 13.00/13.21 (step @p458 :rule trans :premises (@p457 @p222)) % 13.00/13.21 (step @p459 :rule nary_cong :premises (@p458 @p455 @p199 @p200 @p454 @p453) :args (@t235)) % 13.00/13.21 (step @p460 :rule trans :premises (@p459 @p452)) % 13.00/13.21 (step @p461 :rule cong :premises (@p460) :args ((forall @t112 @t235))) % 13.00/13.21 (step @p462 :rule quant-var-elim-eq :args ((= (forall @t238 @t237) @t235))) % 13.00/13.21 (step @p463 :rule aci_norm :args ((= @t239 @t237))) % 13.00/13.21 (step @p464 :rule cong :premises (@p463) :args (@t240)) % 13.00/13.21 (step @p465 :rule trans :premises (@p464 @p462)) % 13.00/13.21 (step @p466 :rule cong :premises (@p465) :args (@t241)) % 13.00/13.21 (step @p467 :rule quant-merge-prenex :args ((= @t241 (forall @t135 @t239)))) % 13.00/13.21 (step @p468 :rule symm :premises (@p467)) % 13.00/13.21 (step @p469 :rule trans :premises (@p468 @p466)) % 13.00/13.21 (step @p470 :rule trans :premises (@p469 @p461)) % 13.00/13.21 (step @p471 :rule refl :args (@t136)) % 13.00/13.21 (step @p472 :rule refl :args (@t132)) % 13.00/13.21 (step @p473 :rule eq-symm :args (@t137 @t131)) % 13.00/13.21 (step @p474 :rule cong :premises (@p473) :args (@t138)) % 13.00/13.21 (step @p475 :rule nary_cong :premises (@p474 @p455 @p199 @p200 @p472 @p471) :args (@t139)) % 13.00/13.21 (step @p476 :rule cong :premises (@p475) :args (@t140)) % 13.00/13.21 (step @p477 :rule trans :premises (@p476 @p470)) % 13.00/13.21 (step @p478 :rule eq_resolve :premises (@p170 @p477)) % 13.00/13.21 (step @p479 :rule instantiate :premises (@p478) :args ((@list @t202 @t163 @t200))) % 13.00/13.21 (step @p480 :rule cnf_or_pos :args (@t243)) % 13.00/13.21 (step @p481 :rule reordering :premises (@p480) :args ((or @t222 @t211 @t221 @t242 @t226 (not @t243)))) % 13.00/13.21 (step @p482 :rule chain_m_resolution :premises (@p481 @p479 @p197 @p196 @p451 @p189 @p188 @p187 @p399 @p187 @p184 @p362 @p360 @p197 @p196 @p359 @p248 @p188 @p183 @p323 @p321 @p196 @p315 @p313 @p306 @p186 @p253 @p190) :args (@t160 (@list false false false true true false false false false false false false false false false false false false false false false false false false false false false) (@list @t243 @t220 @t210 @t226 @t158 @t157 @t156 @t224 @t156 @t154 @t219 @t223 @t220 @t210 @t214 @t186 @t157 @t153 @t209 @t212 @t210 @t203 @t207 @t166 @t155 @t193 @t161))) % 13.00/13.21 (step @p483 :rule chain_m_resolution :premises (@p305 @p189 @p241 @p187 @p188 @p482) :args (@t194 (@list true false false false false) (@list @t158 @t179 @t156 @t157 @t160))) % 13.00/13.21 (step @p484 :rule refl :args (@t162)) % 13.00/13.21 (step @p485 :rule nary_cong :premises (@p250 @p484) :args (@t167)) % 13.00/13.21 (step @p486 :rule eq_resolve :premises (@p194 @p485)) % 13.00/13.21 (step @p487 :rule reordering :premises (@p486) :args ((or @t162 @t193))) % 13.00/13.21 (step @p488 :rule chain_m_resolution :premises (@p487 @p483) :args (@t193 @t244 @t245)) % 13.00/13.21 (step @p489 :rule chain_m_resolution :premises (@p359 @p183 @p188 @p488 @p248) :args (@t214 @t192 (@list @t153 @t157 @t193 @t186))) % 13.00/13.21 (step @p490 :rule chain_m_resolution :premises (@p362 @p489 @p196 @p197 @p360) :args (@t219 @t192 (@list @t214 @t210 @t220 @t223))) % 13.00/13.21 (step @p491 :rule chain_m_resolution :premises (@p191 @p483) :args (@t161 @t244 @t245)) % 13.00/13.21 (step @p492 :rule chain_m_resolution :premises (@p323 @p491 @p196 @p321) :args (@t209 @t178 (@list @t161 @t210 @t212))) % 13.00/13.21 (step @p493 :rule chain_m_resolution :premises (@p315 @p186 @p491 @p306 @p313) :args (@t203 @t192 (@list @t155 @t161 @t166 @t207))) % 13.00/13.21 (step @p494 :rule chain_m_resolution :premises (@p451 @p189 @p187 @p188 @p488 @p493 @p492 @p490) :args (@t227 (@list true false false false false false false) (@list @t158 @t156 @t157 @t193 @t203 @t209 @t219))) % 13.00/13.21 (step @p495 :rule chain_m_resolution :premises (@p399 @p184 @p187 @p493 @p492 @p490) :args (@t224 (@list false false false false false) (@list @t154 @t156 @t203 @t209 @t219))) % 13.00/13.21 (step @p496 false :rule chain_m_resolution :premises (@p481 @p495 @p494 @p479 @p489 @p197 @p196) :args (false (@list false true false false false false) (@list @t224 @t226 @t243 @t214 @t220 @t210))) % 13.00/13.21 ) % 13.00/13.26 % SZS output end Proof % 13.00/13.26 % cvc5 exiting %------------------------------------------------------------------------------