%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC368-1 : 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 : n003.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 08:59:02 AM UTC 2026 % Result : Unsatisfiable 12.70s 12.96s % Output : Proof 12.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC368-1 : 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 % 0.15/0.34 % Computer : n003.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:43:59 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 12.70/12.96 % SZS status Unsatisfiable % 12.70/12.96 % SZS output start Proof % 12.70/12.98 ( % 12.70/12.98 (declare-sort $$unsorted 0) % 12.70/12.98 (declare-const tptp.sk4 $$unsorted) % 12.70/12.98 (declare-const tptp.sk2 $$unsorted) % 12.70/12.98 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.nil $$unsorted) % 12.70/12.98 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.sk1 $$unsorted) % 12.70/12.98 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skac2 $$unsorted) % 12.70/12.98 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.sk3 $$unsorted) % 12.70/12.98 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.sk5 $$unsorted) % 12.70/12.98 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.ssList (-> $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skac3 $$unsorted) % 12.70/12.98 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 12.70/12.98 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 12.70/12.98 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 12.70/12.98 (define @t1 () (tptp.ssList tptp.nil)) % 12.70/12.98 (define @t2 () (@var "U" $$unsorted)) % 12.70/12.98 (define @t3 () (tptp.skaf83 @t2)) % 12.70/12.98 (define @t4 () (@list @t2)) % 12.70/12.98 (define @t5 () (tptp.skaf82 @t2)) % 12.70/12.98 (define @t6 () (tptp.skaf81 @t2)) % 12.70/12.98 (define @t7 () (tptp.skaf80 @t2)) % 12.70/12.98 (define @t8 () (tptp.skaf79 @t2)) % 12.70/12.98 (define @t9 () (tptp.skaf78 @t2)) % 12.70/12.98 (define @t10 () (tptp.skaf77 @t2)) % 12.70/12.98 (define @t11 () (tptp.skaf76 @t2)) % 12.70/12.98 (define @t12 () (tptp.skaf75 @t2)) % 12.70/12.98 (define @t13 () (tptp.skaf74 @t2)) % 12.70/12.98 (define @t14 () (tptp.skaf73 @t2)) % 12.70/12.98 (define @t15 () (tptp.skaf72 @t2)) % 12.70/12.98 (define @t16 () (tptp.skaf71 @t2)) % 12.70/12.98 (define @t17 () (tptp.skaf70 @t2)) % 12.70/12.98 (define @t18 () (tptp.skaf69 @t2)) % 12.70/12.98 (define @t19 () (tptp.skaf68 @t2)) % 12.70/12.98 (define @t20 () (tptp.skaf67 @t2)) % 12.70/12.98 (define @t21 () (tptp.skaf66 @t2)) % 12.70/12.98 (define @t22 () (tptp.skaf65 @t2)) % 12.70/12.98 (define @t23 () (tptp.skaf64 @t2)) % 12.70/12.98 (define @t24 () (tptp.skaf63 @t2)) % 12.70/12.98 (define @t25 () (tptp.skaf62 @t2)) % 12.70/12.98 (define @t26 () (tptp.skaf61 @t2)) % 12.70/12.98 (define @t27 () (tptp.skaf60 @t2)) % 12.70/12.98 (define @t28 () (tptp.skaf59 @t2)) % 12.70/12.98 (define @t29 () (tptp.skaf58 @t2)) % 12.70/12.98 (define @t30 () (tptp.skaf57 @t2)) % 12.70/12.98 (define @t31 () (tptp.skaf56 @t2)) % 12.70/12.98 (define @t32 () (tptp.skaf55 @t2)) % 12.70/12.98 (define @t33 () (tptp.skaf54 @t2)) % 12.70/12.98 (define @t34 () (tptp.skaf53 @t2)) % 12.70/12.98 (define @t35 () (tptp.skaf52 @t2)) % 12.70/12.98 (define @t36 () (tptp.skaf51 @t2)) % 12.70/12.98 (define @t37 () (tptp.skaf50 @t2)) % 12.70/12.98 (define @t38 () (tptp.skaf49 @t2)) % 12.70/12.98 (define @t39 () (tptp.skaf44 @t2)) % 12.70/12.98 (define @t40 () (@var "V" $$unsorted)) % 12.70/12.98 (define @t41 () (@list @t2 @t40)) % 12.70/12.98 (define @t42 () (tptp.skaf47 @t2 @t40)) % 12.70/12.98 (define @t43 () (tptp.skaf46 @t2 @t40)) % 12.70/12.98 (define @t44 () (tptp.skaf45 @t2 @t40)) % 12.70/12.98 (define @t45 () (tptp.skaf42 @t2 @t40)) % 12.70/12.98 (define @t46 () (not (tptp.ssItem @t2))) % 12.70/12.98 (define @t47 () (not (tptp.ssList @t2))) % 12.70/12.98 (define @t48 () (tptp.cons @t2 tptp.nil)) % 12.70/12.98 (define @t49 () (tptp.ssItem @t40)) % 12.70/12.98 (define @t50 () (tptp.duplicatefreeP @t2)) % 12.70/12.98 (define @t51 () (= tptp.nil @t2)) % 12.70/12.98 (define @t52 () (tptp.tl @t2)) % 12.70/12.98 (define @t53 () (tptp.hd @t2)) % 12.70/12.98 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 12.70/12.98 (define @t55 () (not @t51)) % 12.70/12.98 (define @t56 () (or @t55 @t47 @t54)) % 12.70/12.98 (define @t57 () (forall @t4 @t56)) % 12.70/12.98 (define @t58 () (tptp.rearsegP tptp.nil @t2)) % 12.70/12.98 (define @t59 () (tptp.frontsegP tptp.nil @t2)) % 12.70/12.98 (define @t60 () (tptp.app @t40 @t2)) % 12.70/12.98 (define @t61 () (not (tptp.ssList @t40))) % 12.70/12.98 (define @t62 () (tptp.cons @t2 @t40)) % 12.70/12.98 (define @t63 () (tptp.cyclefreeP @t2)) % 12.70/12.98 (define @t64 () (tptp.equalelemsP @t2)) % 12.70/12.98 (define @t65 () (tptp.strictorderedP @t2)) % 12.70/12.98 (define @t66 () (tptp.totalorderedP @t2)) % 12.70/12.98 (define @t67 () (tptp.strictorderP @t2)) % 12.70/12.98 (define @t68 () (tptp.totalorderP @t2)) % 12.70/12.98 (define @t69 () (= @t40 @t2)) % 12.70/12.98 (define @t70 () (tptp.neq @t40 @t2)) % 12.70/12.98 (define @t71 () (not @t49)) % 12.70/12.98 (define @t72 () (tptp.leq @t2 @t40)) % 12.70/12.98 (define @t73 () (tptp.lt @t2 @t40)) % 12.70/12.98 (define @t74 () (not @t73)) % 12.70/12.98 (define @t75 () (tptp.lt @t40 @t2)) % 12.70/12.98 (define @t76 () (not (tptp.gt @t2 @t40))) % 12.70/12.98 (define @t77 () (tptp.gt @t40 @t2)) % 12.70/12.98 (define @t78 () (tptp.leq @t40 @t2)) % 12.70/12.98 (define @t79 () (not (tptp.geq @t2 @t40))) % 12.70/12.98 (define @t80 () (tptp.geq @t40 @t2)) % 12.70/12.98 (define @t81 () (not @t72)) % 12.70/12.98 (define @t82 () (= @t2 @t40)) % 12.70/12.98 (define @t83 () (not @t82)) % 12.70/12.98 (define @t84 () (tptp.cons @t40 @t2)) % 12.70/12.98 (define @t85 () (not (tptp.neq @t2 @t40))) % 12.70/12.98 (define @t86 () (tptp.app @t2 @t40)) % 12.70/12.98 (define @t87 () (= @t86 tptp.nil)) % 12.70/12.98 (define @t88 () (not @t87)) % 12.70/12.98 (define @t89 () (or @t88 @t61 @t47 @t51)) % 12.70/12.98 (define @t90 () (forall @t41 @t89)) % 12.70/12.98 (define @t91 () (= tptp.nil @t40)) % 12.70/12.98 (define @t92 () (tptp.app @t48 @t40)) % 12.70/12.98 (define @t93 () (or @t46 @t61 (= @t92 @t62))) % 12.70/12.98 (define @t94 () (forall @t41 @t93)) % 12.70/12.98 (define @t95 () (tptp.hd @t40)) % 12.70/12.98 (define @t96 () (tptp.strictorderedP @t40)) % 12.70/12.98 (define @t97 () (tptp.strictorderedP @t62)) % 12.70/12.98 (define @t98 () (not @t97)) % 12.70/12.98 (define @t99 () (tptp.totalorderedP @t40)) % 12.70/12.98 (define @t100 () (tptp.totalorderedP @t62)) % 12.70/12.98 (define @t101 () (not @t100)) % 12.70/12.98 (define @t102 () (not (tptp.segmentP @t2 @t40))) % 12.70/12.98 (define @t103 () (not (tptp.rearsegP @t2 @t40))) % 12.70/12.98 (define @t104 () (not (tptp.frontsegP @t2 @t40))) % 12.70/12.98 (define @t105 () (not @t78)) % 12.70/12.98 (define @t106 () (tptp.tl @t40)) % 12.70/12.98 (define @t107 () (tptp.lt @t2 @t95)) % 12.70/12.98 (define @t108 () (tptp.leq @t2 @t95)) % 12.70/12.98 (define @t109 () (@var "W" $$unsorted)) % 12.70/12.98 (define @t110 () (tptp.app @t109 @t2)) % 12.70/12.98 (define @t111 () (not (tptp.ssList @t109))) % 12.70/12.98 (define @t112 () (@list @t2 @t40 @t109)) % 12.70/12.98 (define @t113 () (tptp.app @t2 @t109)) % 12.70/12.98 (define @t114 () (tptp.cons @t40 @t109)) % 12.70/12.98 (define @t115 () (tptp.cons @t109 @t2)) % 12.70/12.98 (define @t116 () (not (tptp.ssItem @t109))) % 12.70/12.98 (define @t117 () (not (tptp.memberP @t2 @t40))) % 12.70/12.98 (define @t118 () (not (= @t86 @t109))) % 12.70/12.98 (define @t119 () (tptp.lt @t2 @t109)) % 12.70/12.98 (define @t120 () (not (tptp.lt @t40 @t109))) % 12.70/12.98 (define @t121 () (tptp.app @t109 @t40)) % 12.70/12.98 (define @t122 () (= @t40 @t109)) % 12.70/12.98 (define @t123 () (= @t2 @t109)) % 12.70/12.98 (define @t124 () (tptp.memberP @t40 @t109)) % 12.70/12.98 (define @t125 () (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2))) % 12.70/12.98 (define @t126 () (or @t102 @t61 @t47 (= @t125 @t2))) % 12.70/12.98 (define @t127 () (forall @t41 @t126)) % 12.70/12.98 (define @t128 () (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2)))) % 12.70/12.98 (define @t129 () (or @t117 @t71 @t47 (= @t128 @t2))) % 12.70/12.98 (define @t130 () (forall @t41 @t129)) % 12.70/12.98 (define @t131 () (@var "X" $$unsorted)) % 12.70/12.98 (define @t132 () (not (tptp.ssList @t131))) % 12.70/12.98 (define @t133 () (tptp.cons @t109 @t131)) % 12.70/12.98 (define @t134 () (not (= @t62 @t133))) % 12.70/12.98 (define @t135 () (@list @t2 @t40 @t109 @t131)) % 12.70/12.98 (define @t136 () (tptp.segmentP @t131 @t40)) % 12.70/12.98 (define @t137 () (tptp.app @t86 @t109)) % 12.70/12.98 (define @t138 () (not (= @t137 @t131))) % 12.70/12.98 (define @t139 () (or @t138 @t111 @t47 @t61 @t132 @t136)) % 12.70/12.98 (define @t140 () (forall @t135 @t139)) % 12.70/12.98 (define @t141 () (not (tptp.frontsegP @t62 @t133))) % 12.70/12.98 (define @t142 () (tptp.app @t2 @t114)) % 12.70/12.98 (define @t143 () (not (tptp.ssItem @t131))) % 12.70/12.98 (define @t144 () (@var "Y" $$unsorted)) % 12.70/12.98 (define @t145 () (not (tptp.ssList @t144))) % 12.70/12.98 (define @t146 () (@list @t2 @t40 @t109 @t131 @t144)) % 12.70/12.98 (define @t147 () (tptp.lt @t40 @t131)) % 12.70/12.98 (define @t148 () (@var "Z" $$unsorted)) % 12.70/12.98 (define @t149 () (not (tptp.ssList @t148))) % 12.70/12.98 (define @t150 () (not (= (tptp.app @t142 (tptp.cons @t131 @t144)) @t148))) % 12.70/12.98 (define @t151 () (@list @t2 @t40 @t109 @t131 @t144 @t148)) % 12.70/12.98 (define @t152 () (tptp.leq @t40 @t131)) % 12.70/12.98 (define @t153 () (tptp.ssList tptp.sk1)) % 12.70/12.98 (define @t154 () (tptp.ssList tptp.sk2)) % 12.70/12.98 (define @t155 () (tptp.ssList tptp.sk4)) % 12.70/12.98 (define @t156 () (= tptp.sk2 tptp.sk4)) % 12.70/12.98 (define @t157 () (= tptp.sk1 tptp.sk3)) % 12.70/12.98 (define @t158 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 12.70/12.98 (define @t159 () (not @t158)) % 12.70/12.98 (define @t160 () (= tptp.nil tptp.sk4)) % 12.70/12.98 (define @t161 () (tptp.ssItem tptp.sk5)) % 12.70/12.98 (define @t162 () (= tptp.nil tptp.sk3)) % 12.70/12.98 (define @t163 () (tptp.cons tptp.sk5 tptp.nil)) % 12.70/12.98 (define @t164 () (= @t163 tptp.sk3)) % 12.70/12.98 (define @t165 () (or @t164 @t160)) % 12.70/12.98 (define @t166 () (tptp.memberP tptp.sk4 tptp.sk5)) % 12.70/12.98 (define @t167 () (@var "A" $$unsorted)) % 12.70/12.98 (define @t168 () (not (tptp.leq @t167 tptp.sk5))) % 12.70/12.98 (define @t169 () (not (tptp.memberP tptp.sk4 @t167))) % 12.70/12.98 (define @t170 () (= tptp.sk5 @t167)) % 12.70/12.98 (define @t171 () (not (tptp.ssItem @t167))) % 12.70/12.98 (define @t172 () (@list @t167)) % 12.70/12.98 (define @t173 () (or @t164 @t162)) % 12.70/12.98 (define @t174 () (@list tptp.sk4 tptp.sk5)) % 12.70/12.98 (define @t175 () (tptp.skaf48 tptp.nil tptp.nil)) % 12.70/12.98 (define @t176 () (tptp.skaf47 tptp.nil tptp.nil)) % 12.70/12.98 (define @t177 () (tptp.app @t176 tptp.nil)) % 12.70/12.98 (define @t178 () (@list tptp.nil tptp.nil)) % 12.70/12.98 (define @t179 () (tptp.ssList @t177)) % 12.70/12.98 (define @t180 () (tptp.ssList @t176)) % 12.70/12.98 (define @t181 () (not @t180)) % 12.70/12.98 (define @t182 () (not @t1)) % 12.70/12.98 (define @t183 () (or @t182 @t181 @t179)) % 12.70/12.98 (define @t184 () (@list false false false)) % 12.70/12.98 (define @t185 () (tptp.segmentP tptp.nil tptp.nil)) % 12.70/12.98 (define @t186 () (not (= tptp.nil tptp.nil))) % 12.70/12.98 (define @t187 () (or @t186 @t182 @t185)) % 12.70/12.98 (define @t188 () (or @t55 @t55 @t47 @t54)) % 12.70/12.98 (define @t189 () (= tptp.nil (tptp.app @t177 @t175))) % 12.70/12.98 (define @t190 () (not @t185)) % 12.70/12.98 (define @t191 () (or @t190 @t182 @t182 @t189)) % 12.70/12.98 (define @t192 () (= tptp.nil @t177)) % 12.70/12.98 (define @t193 () (not @t179)) % 12.70/12.98 (define @t194 () (tptp.ssList @t175)) % 12.70/12.98 (define @t195 () (not @t194)) % 12.70/12.98 (define @t196 () (not @t189)) % 12.70/12.98 (define @t197 () (or @t196 @t195 @t193 @t192)) % 12.70/12.98 (define @t198 () (@list false false false false)) % 12.70/12.98 (define @t199 () (= tptp.sk3 @t163)) % 12.70/12.98 (define @t200 () (tptp.skaf43 tptp.sk5 tptp.sk4)) % 12.70/12.98 (define @t201 () (tptp.app @t163 @t200)) % 12.70/12.98 (define @t202 () (tptp.cons tptp.sk5 @t200)) % 12.70/12.98 (define @t203 () (= @t202 @t201)) % 12.70/12.98 (define @t204 () (tptp.ssList @t200)) % 12.70/12.98 (define @t205 () (not @t204)) % 12.70/12.98 (define @t206 () (not @t161)) % 12.70/12.98 (define @t207 () (or @t206 @t205 @t203)) % 12.70/12.98 (define @t208 () (tptp.skaf42 tptp.sk4 tptp.sk5)) % 12.70/12.98 (define @t209 () (= tptp.sk4 (tptp.app @t208 @t202))) % 12.70/12.98 (define @t210 () (not @t155)) % 12.70/12.98 (define @t211 () (not @t166)) % 12.70/12.98 (define @t212 () (or @t211 @t206 @t210 @t209)) % 12.70/12.98 (define @t213 () (tptp.cons tptp.sk5 @t177)) % 12.70/12.98 (define @t214 () (tptp.ssList @t163)) % 12.70/12.98 (define @t215 () (and @t153 @t157 @t199 @t192)) % 12.70/12.98 (define @t216 () (not @t199)) % 12.70/12.98 (define @t217 () (not @t157)) % 12.70/12.98 (define @t218 () (tptp.app @t208 @t201)) % 12.70/12.98 (define @t219 () (tptp.app (tptp.app @t208 @t163) @t200)) % 12.70/12.98 (define @t220 () (= @t219 @t218)) % 12.70/12.98 (define @t221 () (tptp.ssList @t208)) % 12.70/12.98 (define @t222 () (not @t221)) % 12.70/12.98 (define @t223 () (not @t214)) % 12.70/12.98 (define @t224 () (or @t205 @t223 @t222 @t220)) % 12.70/12.98 (define @t225 () (tptp.ssList @t219)) % 12.70/12.98 (define @t226 () (and @t154 @t156 @t209 @t203 @t220)) % 12.70/12.98 (define @t227 () (tptp.segmentP @t219 @t163)) % 12.70/12.98 (define @t228 () (not @t227)) % 12.70/12.98 (define @t229 () (not @t220)) % 12.70/12.98 (define @t230 () (not @t203)) % 12.70/12.98 (define @t231 () (not @t209)) % 12.70/12.98 (define @t232 () (not @t156)) % 12.70/12.98 (define @t233 () (not @t159)) % 12.70/12.98 (define @t234 () (and @t156 @t157 @t159 @t199 @t209 @t203 @t220)) % 12.70/12.98 (define @t235 () (tptp.segmentP @t137 @t40)) % 12.70/12.98 (define @t236 () (not (tptp.ssList @t137))) % 12.70/12.98 (define @t237 () (not (= @t137 @t137))) % 12.70/12.98 (define @t238 () (or @t237 @t111 @t47 @t61 @t236 @t235)) % 12.70/12.98 (define @t239 () (not (= @t131 @t137))) % 12.70/12.98 (define @t240 () (or @t239 @t239 @t111 @t47 @t61 @t132 @t136)) % 12.70/12.98 (define @t241 () (@list @t131)) % 12.70/12.98 (define @t242 () (or @t239 @t111 @t47 @t61 @t132 @t136)) % 12.70/12.98 (define @t243 () (forall @t241 @t242)) % 12.70/12.98 (define @t244 () (forall @t112 @t243)) % 12.70/12.98 (define @t245 () (not @t225)) % 12.70/12.98 (define @t246 () (or @t205 @t222 @t223 @t245 @t227)) % 12.70/12.98 (define @t247 () (not @t162)) % 12.70/12.98 (define @t248 () (not @t160)) % 12.70/12.98 (define @t249 () (and @t185 @t160 @t156 @t162 @t157 @t159)) % 12.70/12.98 (define @t250 () (@list true)) % 12.70/12.98 (define @t251 () (@list @t162)) % 12.70/12.98 (assume @p1 (tptp.equalelemsP tptp.nil)) % 12.70/12.98 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 12.70/12.98 (assume @p3 (tptp.strictorderedP tptp.nil)) % 12.70/12.98 (assume @p4 (tptp.totalorderedP tptp.nil)) % 12.70/12.98 (assume @p5 (tptp.strictorderP tptp.nil)) % 12.70/12.98 (assume @p6 (tptp.totalorderP tptp.nil)) % 12.70/12.98 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 12.70/12.98 (assume @p8 @t1) % 12.70/12.98 (assume @p9 (tptp.ssItem tptp.skac3)) % 12.70/12.98 (assume @p10 (tptp.ssItem tptp.skac2)) % 12.70/12.98 (assume @p11 (not (tptp.singletonP tptp.nil))) % 12.70/12.98 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 12.70/12.98 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 12.70/12.98 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 12.70/12.98 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 12.70/12.98 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 12.70/12.98 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 12.70/12.98 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 12.70/12.98 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 12.70/12.98 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 12.70/12.98 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 12.70/12.98 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 12.70/12.98 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 12.70/12.98 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 12.70/12.98 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 12.70/12.98 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 12.70/12.98 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 12.70/12.98 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 12.70/12.98 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 12.70/12.98 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 12.70/12.98 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 12.70/12.98 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 12.70/12.98 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 12.70/12.98 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 12.70/12.98 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 12.70/12.98 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 12.70/12.98 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 12.70/12.98 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 12.70/12.98 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 12.70/12.98 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 12.70/12.98 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 12.70/12.98 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 12.70/12.98 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 12.70/12.98 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 12.70/12.98 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 12.70/12.98 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 12.70/12.98 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 12.70/12.98 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 12.70/12.98 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 12.70/12.98 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 12.70/12.98 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 12.70/12.98 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 12.70/12.98 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 12.70/12.98 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 12.70/12.98 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 12.70/12.98 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 12.70/12.98 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 12.70/12.98 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 12.70/12.98 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 12.70/12.98 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 12.70/12.98 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 12.70/12.98 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 12.70/12.98 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 12.70/12.98 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 12.70/12.98 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 12.70/12.98 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 12.70/12.98 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 12.70/12.98 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 12.70/12.98 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 12.70/12.98 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 12.70/12.98 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 12.70/12.98 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 12.70/12.98 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 12.70/12.98 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 12.70/12.98 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 12.70/12.98 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 12.70/12.98 (assume @p77 @t57) % 12.70/12.98 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 12.70/12.98 (assume @p79 (forall @t4 (or @t55 @t47 @t58))) % 12.70/12.98 (assume @p80 (forall @t4 (or (not @t58) @t47 @t51))) % 12.70/12.98 (assume @p81 (forall @t4 (or @t55 @t47 @t59))) % 12.70/12.98 (assume @p82 (forall @t4 (or (not @t59) @t47 @t51))) % 12.70/12.98 (assume @p83 (forall @t41 (or @t47 @t61 (tptp.ssList @t60)))) % 12.70/12.98 (assume @p84 (forall @t41 (or @t46 @t61 (tptp.ssList @t62)))) % 12.70/12.98 (assume @p85 (forall @t4 (or @t47 @t63 (tptp.leq @t37 @t38)))) % 12.70/12.98 (assume @p86 (forall @t4 (or @t47 @t63 (tptp.leq @t38 @t37)))) % 12.70/12.98 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t64))) % 12.70/12.98 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t65))) % 12.70/12.98 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t66))) % 12.70/12.98 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t67))) % 12.70/12.98 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t67))) % 12.70/12.98 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t68))) % 12.70/12.98 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t68))) % 12.70/12.98 (assume @p94 (forall @t41 (or @t46 @t61 (= (tptp.tl @t62) @t40)))) % 12.70/12.98 (assume @p95 (forall @t41 (or @t46 @t61 (= (tptp.hd @t62) @t2)))) % 12.70/12.98 (assume @p96 (forall @t41 (or (not (= @t62 tptp.nil)) @t46 @t61))) % 12.70/12.98 (assume @p97 (forall @t41 (or (not (= @t62 @t40)) @t46 @t61))) % 12.70/12.98 (assume @p98 (forall @t41 (or @t47 @t61 @t70 @t69))) % 12.70/12.98 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 12.70/12.98 (assume @p100 (forall @t41 (or @t46 @t71 @t70 @t69))) % 12.70/12.98 (assume @p101 (forall @t41 (or @t74 @t71 @t46 @t72))) % 12.70/12.98 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 12.70/12.98 (assume @p103 (forall @t41 (or @t76 @t71 @t46 @t75))) % 12.70/12.98 (assume @p104 (forall @t41 (or @t74 @t46 @t71 @t77))) % 12.70/12.98 (assume @p105 (forall @t41 (or @t79 @t71 @t46 @t78))) % 12.70/12.98 (assume @p106 (forall @t41 (or @t81 @t46 @t71 @t80))) % 12.70/12.98 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 12.70/12.98 (assume @p108 (forall @t41 (or @t76 (not @t77) @t46 @t71))) % 12.70/12.98 (assume @p109 (forall @t41 (or @t83 @t74 @t71 @t46))) % 12.70/12.98 (assume @p110 (forall @t41 (or @t55 @t47 @t71 (tptp.strictorderedP @t84)))) % 12.70/12.98 (assume @p111 (forall @t41 (or @t55 @t47 @t71 (tptp.totalorderedP @t84)))) % 12.70/12.98 (assume @p112 (forall @t41 (or @t74 (not @t75) @t46 @t71))) % 12.70/12.98 (assume @p113 (forall @t41 (or @t83 @t85 @t61 @t47))) % 12.70/12.98 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t61 (tptp.singletonP @t40)))) % 12.70/12.98 (assume @p115 (forall @t41 (or @t83 @t85 @t71 @t46))) % 12.70/12.98 (assume @p116 @t90) % 12.70/12.98 (assume @p117 (forall @t41 (or @t88 @t61 @t47 @t91))) % 12.70/12.98 (assume @p118 @t94) % 12.70/12.98 (assume @p119 (forall @t41 (or @t81 @t71 @t46 @t73 @t82))) % 12.70/12.98 (assume @p120 (forall @t41 (or @t47 @t61 @t91 (= (tptp.hd @t60) @t95)))) % 12.70/12.98 (assume @p121 (forall @t41 (or @t98 @t61 @t46 @t96 @t91))) % 12.70/12.98 (assume @p122 (forall @t41 (or @t101 @t61 @t46 @t99 @t91))) % 12.70/12.98 (assume @p123 (forall @t41 (or @t79 (not @t80) @t46 @t71 @t69))) % 12.70/12.98 (assume @p124 (forall @t41 (or @t102 (not (tptp.segmentP @t40 @t2)) @t47 @t61 @t69))) % 12.70/12.98 (assume @p125 (forall @t41 (or @t103 (not (tptp.rearsegP @t40 @t2)) @t47 @t61 @t69))) % 12.70/12.98 (assume @p126 (forall @t41 (or @t104 (not (tptp.frontsegP @t40 @t2)) @t47 @t61 @t69))) % 12.70/12.98 (assume @p127 (forall @t41 (or @t81 @t105 @t46 @t71 @t69))) % 12.70/12.98 (assume @p128 (forall @t41 (or @t103 @t61 @t47 (= (tptp.app @t43 @t40) @t2)))) % 12.70/12.98 (assume @p129 (forall @t41 (or @t104 @t61 @t47 (= (tptp.app @t40 @t44) @t2)))) % 12.70/12.98 (assume @p130 (forall @t41 (or @t47 @t61 @t91 (= (tptp.tl @t60) (tptp.app @t106 @t2))))) % 12.70/12.98 (assume @p131 (forall @t41 (or @t98 @t61 @t46 @t107 @t91))) % 12.70/12.98 (assume @p132 (forall @t41 (or @t101 @t61 @t46 @t108 @t91))) % 12.70/12.98 (assume @p133 (forall @t112 (or @t103 @t111 @t61 @t47 (tptp.rearsegP @t110 @t40)))) % 12.70/12.98 (assume @p134 (forall @t112 (or @t104 @t111 @t61 @t47 (tptp.frontsegP @t113 @t40)))) % 12.70/12.98 (assume @p135 (forall @t112 (or @t83 @t111 @t71 @t46 (tptp.memberP @t114 @t2)))) % 12.70/12.98 (assume @p136 (forall @t112 (or @t117 @t47 @t116 @t71 (tptp.memberP @t115 @t40)))) % 12.70/12.98 (assume @p137 (forall @t112 (or @t117 @t111 @t47 @t71 (tptp.memberP @t113 @t40)))) % 12.70/12.98 (assume @p138 (forall @t112 (or @t117 @t47 @t111 @t71 (tptp.memberP @t110 @t40)))) % 12.70/12.98 (assume @p139 (forall @t4 (or @t47 @t64 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 12.70/12.98 (assume @p140 (forall @t112 (or @t118 @t47 @t61 @t111 (tptp.rearsegP @t109 @t40)))) % 12.70/12.98 (assume @p141 (forall @t112 (or @t118 @t61 @t47 @t111 (tptp.frontsegP @t109 @t2)))) % 12.70/12.98 (assume @p142 (forall @t41 (or @t55 (not @t91) @t61 @t47 @t87))) % 12.70/12.98 (assume @p143 (forall @t112 (or @t76 (not (tptp.gt @t40 @t109)) @t116 @t71 @t46 (tptp.gt @t2 @t109)))) % 12.70/12.98 (assume @p144 (forall @t112 (or @t81 @t120 @t116 @t71 @t46 @t119))) % 12.70/12.98 (assume @p145 (forall @t112 (or @t79 (not (tptp.geq @t40 @t109)) @t116 @t71 @t46 (tptp.geq @t2 @t109)))) % 12.70/12.98 (assume @p146 (forall @t112 (or @t47 @t61 @t111 (= (tptp.app @t121 @t2) (tptp.app @t109 @t60))))) % 12.70/12.98 (assume @p147 (forall @t112 (or (not (= @t86 @t113)) @t61 @t47 @t111 @t122))) % 12.70/12.98 (assume @p148 (forall @t112 (or (not (= @t86 @t121)) @t47 @t61 @t111 @t123))) % 12.70/12.98 (assume @p149 (forall @t112 (or @t102 (not (tptp.segmentP @t40 @t109)) @t111 @t61 @t47 (tptp.segmentP @t2 @t109)))) % 12.70/12.98 (assume @p150 (forall @t112 (or @t103 (not (tptp.rearsegP @t40 @t109)) @t111 @t61 @t47 (tptp.rearsegP @t2 @t109)))) % 12.70/12.98 (assume @p151 (forall @t112 (or @t104 (not (tptp.frontsegP @t40 @t109)) @t111 @t61 @t47 (tptp.frontsegP @t2 @t109)))) % 12.70/12.98 (assume @p152 (forall @t112 (or @t74 @t120 @t116 @t71 @t46 @t119))) % 12.70/12.98 (assume @p153 (forall @t112 (or @t81 (not (tptp.leq @t40 @t109)) @t116 @t71 @t46 (tptp.leq @t2 @t109)))) % 12.70/12.98 (assume @p154 (forall @t112 (or @t46 @t61 @t111 (= (tptp.cons @t2 (tptp.app @t40 @t109)) (tptp.app @t62 @t109))))) % 12.70/12.98 (assume @p155 (forall @t112 (or (not (tptp.memberP @t86 @t109)) @t61 @t47 @t116 @t124 (tptp.memberP @t2 @t109)))) % 12.70/12.98 (assume @p156 (forall @t41 (or (not @t108) (not @t99) @t61 @t46 @t100 @t91))) % 12.70/12.98 (assume @p157 (forall @t41 (or (not @t107) (not @t96) @t61 @t46 @t97 @t91))) % 12.70/12.98 (assume @p158 (forall @t112 (or (not (tptp.memberP @t62 @t109)) @t61 @t46 @t116 @t124 (= @t109 @t2)))) % 12.70/12.98 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 12.70/12.98 (assume @p160 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 12.70/12.98 (assume @p161 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 12.70/12.98 (assume @p162 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 12.70/12.98 (assume @p163 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 12.70/12.98 (assume @p164 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 12.70/12.98 (assume @p165 @t127) % 12.70/12.98 (assume @p166 @t130) % 12.70/12.98 (assume @p167 (forall @t135 (or @t134 @t116 @t46 @t132 @t61 @t123))) % 12.70/12.98 (assume @p168 (forall @t135 (or @t134 @t116 @t46 @t132 @t61 (= @t131 @t40)))) % 12.70/12.98 (assume @p169 (forall @t135 (or @t102 @t111 @t132 @t61 @t47 (tptp.segmentP (tptp.app (tptp.app @t131 @t2) @t109) @t40)))) % 12.70/12.98 (assume @p170 @t140) % 12.70/12.98 (assume @p171 (forall @t135 (or @t141 @t132 @t61 @t116 @t46 (tptp.frontsegP @t40 @t131)))) % 12.70/12.98 (assume @p172 (forall @t135 (or (not (= @t142 @t131)) @t111 @t47 @t71 @t132 (tptp.memberP @t131 @t40)))) % 12.70/12.98 (assume @p173 (forall @t135 (or @t141 @t132 @t61 @t116 @t46 @t123))) % 12.70/12.98 (assume @p174 (forall @t41 (or (not (= @t52 @t106)) (not (= @t53 @t95)) @t47 @t61 @t91 @t82 @t51))) % 12.70/12.98 (assume @p175 (forall @t135 (or @t104 (not (= @t109 @t131)) @t61 @t47 @t143 @t116 (tptp.frontsegP @t115 (tptp.cons @t131 @t40))))) % 12.70/12.98 (assume @p176 (forall @t146 (or (not (= (tptp.app @t142 (tptp.cons @t40 @t131)) @t144)) @t132 @t111 @t47 @t71 (not (tptp.duplicatefreeP @t144)) @t145))) % 12.70/12.98 (assume @p177 (forall @t146 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t133)) @t144)) @t132 @t47 @t116 @t71 (not (tptp.equalelemsP @t144)) @t145 @t122))) % 12.70/12.98 (assume @p178 (forall @t151 (or @t150 @t145 @t111 @t47 @t143 @t71 (not (tptp.strictorderedP @t148)) @t149 @t147))) % 12.70/12.98 (assume @p179 (forall @t151 (or @t150 @t145 @t111 @t47 @t143 @t71 (not (tptp.totalorderedP @t148)) @t149 @t152))) % 12.70/12.98 (assume @p180 (forall @t151 (or @t150 @t145 @t111 @t47 @t143 @t71 (not (tptp.strictorderP @t148)) @t149 @t147 (tptp.lt @t131 @t40)))) % 12.70/12.98 (assume @p181 (forall @t151 (or @t150 @t145 @t111 @t47 @t143 @t71 (not (tptp.totalorderP @t148)) @t149 @t152 (tptp.leq @t131 @t40)))) % 12.70/12.98 (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))) % 12.70/12.98 (assume @p183 @t153) % 12.70/12.98 (assume @p184 @t154) % 12.70/12.98 (assume @p185 (tptp.ssList tptp.sk3)) % 12.70/12.98 (assume @p186 @t155) % 12.70/12.98 (assume @p187 @t156) % 12.70/12.98 (assume @p188 @t157) % 12.70/12.98 (assume @p189 @t159) % 12.70/12.98 (assume @p190 (or @t161 @t160)) % 12.70/12.98 (assume @p191 (or @t161 @t162)) % 12.70/12.98 (assume @p192 @t165) % 12.70/12.98 (assume @p193 (or @t166 @t160)) % 12.70/12.98 (assume @p194 (forall @t172 (or @t171 @t170 @t169 @t168 @t160))) % 12.70/12.98 (assume @p195 @t173) % 12.70/12.98 (assume @p196 (or @t166 @t162)) % 12.70/12.98 (assume @p197 (forall @t172 (or @t171 @t170 @t169 @t168 @t162))) % 12.70/12.98 (step @p198 :rule instantiate :premises (@p52) :args ((@list tptp.sk5 tptp.sk4))) % 12.70/12.98 (step @p199 :rule instantiate :premises (@p53) :args (@t174)) % 12.70/12.98 (step @p200 :rule refl :args (@t51)) % 12.70/12.98 (step @p201 :rule refl :args (@t47)) % 12.70/12.98 (step @p202 :rule refl :args (@t61)) % 12.70/12.98 (step @p203 :rule eq-symm :args (@t86 tptp.nil)) % 12.70/12.98 (step @p204 :rule cong :premises (@p203) :args (@t88)) % 12.70/12.98 (step @p205 :rule nary_cong :premises (@p204 @p202 @p201 @p200) :args (@t89)) % 12.70/12.98 (step @p206 :rule cong :premises (@p205) :args (@t90)) % 12.70/12.98 (step @p207 :rule eq_resolve :premises (@p116 @p206)) % 12.70/12.98 (step @p208 :rule instantiate :premises (@p207) :args ((@list @t177 @t175))) % 12.70/12.98 (step @p209 :rule instantiate :premises (@p83) :args ((@list tptp.nil @t176))) % 12.70/12.98 (step @p210 :rule instantiate :premises (@p49) :args (@t178)) % 12.70/12.98 (step @p211 :rule cnf_or_pos :args (@t183)) % 12.70/12.98 (step @p212 :rule reordering :premises (@p211) :args ((or @t182 @t181 @t179 (not @t183)))) % 12.70/12.98 (step @p213 :rule chain_m_resolution :premises (@p212 @p8 @p210 @p209) :args (@t179 @t184 (@list @t1 @t180 @t183))) % 12.70/12.98 (step @p214 :rule instantiate :premises (@p48) :args (@t178)) % 12.70/12.98 (step @p215 :rule eq-symm :args (@t125 @t2)) % 12.70/12.98 (step @p216 :rule refl :args (@t102)) % 12.70/12.98 (step @p217 :rule nary_cong :premises (@p216 @p202 @p201 @p215) :args (@t126)) % 12.70/12.98 (step @p218 :rule cong :premises (@p217) :args (@t127)) % 12.70/12.98 (step @p219 :rule eq_resolve :premises (@p165 @p218)) % 12.70/12.98 (step @p220 :rule instantiate :premises (@p219) :args (@t178)) % 12.70/12.98 (step @p221 :rule aci_norm :args ((= (or false @t182 @t185) (or @t182 @t185)))) % 12.70/12.98 (step @p222 :rule refl :args (@t185)) % 12.70/12.98 (step @p223 :rule refl :args (@t182)) % 12.70/12.98 (step @p224 :rule evaluate :args ((not true))) % 12.70/12.98 (step @p225 :rule eq-refl :args (tptp.nil)) % 12.70/12.98 (step @p226 :rule cong :premises (@p225) :args (@t186)) % 12.70/12.98 (step @p227 :rule trans :premises (@p226 @p224)) % 12.70/12.98 (step @p228 :rule nary_cong :premises (@p227 @p223 @p222) :args (@t187)) % 12.70/12.98 (step @p229 :rule trans :premises (@p228 @p221)) % 12.70/12.98 (step @p230 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t55 @t47 @t54)) @t187))) % 12.70/12.98 (step @p231 :rule refl :args (@t54)) % 12.70/12.98 (step @p232 :rule refl :args (@t47)) % 12.70/12.98 (step @p233 :rule refl :args (@t55)) % 12.70/12.98 (step @p234 :rule eq-symm :args (tptp.nil @t2)) % 12.70/12.98 (step @p235 :rule cong :premises (@p234) :args (@t55)) % 12.70/12.98 (step @p236 :rule nary_cong :premises (@p235 @p233 @p232 @p231) :args (@t188)) % 12.70/12.98 (step @p237 :rule aci_norm :args ((= @t56 @t188))) % 12.70/12.98 (step @p238 :rule trans :premises (@p237 @p236)) % 12.70/12.98 (step @p239 :rule cong :premises (@p238) :args (@t57)) % 12.70/12.98 (step @p240 :rule trans :premises (@p239 @p230)) % 12.70/12.98 (step @p241 :rule trans :premises (@p240 @p229)) % 12.70/12.98 (step @p242 :rule eq_resolve :premises (@p77 @p241)) % 12.70/12.98 (step @p243 :rule chain_m_resolution :premises (@p242 @p8) :args (@t185 (@list false) (@list @t1))) % 12.70/12.98 (step @p244 :rule cnf_or_pos :args (@t191)) % 12.70/12.98 (step @p245 :rule factoring :premises (@p244)) % 12.70/12.98 (step @p246 :rule reordering :premises (@p245) :args ((or @t182 @t190 @t189 (not @t191)))) % 12.70/12.98 (step @p247 :rule chain_m_resolution :premises (@p246 @p8 @p243 @p220) :args (@t189 @t184 (@list @t1 @t185 @t191))) % 12.70/12.98 (step @p248 :rule cnf_or_pos :args (@t197)) % 12.70/12.98 (step @p249 :rule reordering :premises (@p248) :args ((or @t196 @t192 @t195 @t193 (not @t197)))) % 12.70/12.98 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p214 @p213 @p208) :args (@t192 @t198 (@list @t189 @t194 @t179 @t197))) % 12.70/12.98 (step @p251 :rule refl :args (@t160)) % 12.70/12.98 (step @p252 :rule eq-symm :args (@t163 tptp.sk3)) % 12.70/12.98 (step @p253 :rule nary_cong :premises (@p252 @p251) :args (@t165)) % 12.70/12.98 (step @p254 :rule eq_resolve :premises (@p192 @p253)) % 12.70/12.98 (step @p255 :rule reordering :premises (@p254) :args ((or @t160 @t199))) % 12.70/12.98 (step @p256 :rule reordering :premises (@p193) :args ((or @t160 @t166))) % 12.70/12.98 (step @p257 :rule eq-symm :args (@t92 @t62)) % 12.70/12.98 (step @p258 :rule refl :args (@t46)) % 12.70/12.98 (step @p259 :rule nary_cong :premises (@p258 @p202 @p257) :args (@t93)) % 12.70/12.98 (step @p260 :rule cong :premises (@p259) :args (@t94)) % 12.70/12.98 (step @p261 :rule eq_resolve :premises (@p118 @p260)) % 12.70/12.98 (step @p262 :rule instantiate :premises (@p261) :args ((@list tptp.sk5 @t200))) % 12.70/12.98 (step @p263 :rule cnf_or_pos :args (@t207)) % 12.70/12.98 (step @p264 :rule reordering :premises (@p263) :args ((or @t206 @t205 @t203 (not @t207)))) % 12.70/12.98 (step @p265 :rule eq-symm :args (@t128 @t2)) % 12.70/12.98 (step @p266 :rule refl :args (@t71)) % 12.70/12.98 (step @p267 :rule refl :args (@t117)) % 12.70/12.98 (step @p268 :rule nary_cong :premises (@p267 @p266 @p201 @p265) :args (@t129)) % 12.70/12.98 (step @p269 :rule cong :premises (@p268) :args (@t130)) % 12.70/12.98 (step @p270 :rule eq_resolve :premises (@p166 @p269)) % 12.70/12.98 (step @p271 :rule instantiate :premises (@p270) :args (@t174)) % 12.70/12.98 (step @p272 :rule cnf_or_pos :args (@t212)) % 12.70/12.98 (step @p273 :rule reordering :premises (@p272) :args ((or @t210 @t206 @t211 @t209 (not @t212)))) % 12.70/12.98 (assume-push @p499 @t153) % 12.70/12.98 (assume-push @p500 @t157) % 12.70/12.98 (assume-push @p501 @t199) % 12.70/12.98 (assume-push @p502 @t192) % 12.70/12.98 (assume-push @p503 @t153) % 12.70/12.98 (assume-push @p504 @t157) % 12.70/12.98 (assume-push @p505 @t199) % 12.70/12.98 (assume-push @p506 @t192) % 12.70/12.98 (step @p282 :rule true_intro :premises (@p183)) % 12.70/12.98 (step @p283 :rule symm :premises (@p188)) % 12.70/12.98 (step @p284 :rule symm :premises (@p501)) % 12.70/12.98 (step @p285 :rule symm :premises (@p250)) % 12.70/12.98 (step @p286 :rule refl :args (tptp.sk5)) % 12.70/12.98 (step @p287 :rule cong :premises (@p286 @p285) :args (@t213)) % 12.70/12.98 (step @p288 :rule trans :premises (@p287 @p284 @p283)) % 12.70/12.98 (step @p289 :rule cong :premises (@p288) :args ((tptp.ssList @t213))) % 12.70/12.98 (step @p290 :rule symm :premises (@p287)) % 12.70/12.98 (step @p291 :rule cong :premises (@p290) :args (@t214)) % 12.70/12.98 (step @p292 :rule trans :premises (@p291 @p289 @p282)) % 12.70/12.98 (step @p293 :rule true_elim :premises (@p292)) % 12.70/12.98 (step-pop @p507 :rule scope :premises (@p293)) % 12.70/12.98 (step-pop @p508 :rule scope :premises (@p507)) % 12.70/12.98 (step-pop @p509 :rule scope :premises (@p508)) % 12.70/12.98 (step-pop @p510 :rule scope :premises (@p509)) % 12.70/12.98 (step @p294 :rule process_scope :premises (@p510) :args (@t214)) % 12.70/12.98 (step @p299 :rule and_intro :premises (@p183 @p188 @p501 @p250)) % 12.70/12.98 (step @p300 :rule modus_ponens :premises (@p299 @p294)) % 12.70/12.98 (step-pop @p511 :rule scope :premises (@p300)) % 12.70/12.98 (step-pop @p512 :rule scope :premises (@p511)) % 12.70/12.98 (step-pop @p513 :rule scope :premises (@p512)) % 12.70/12.98 (step-pop @p514 :rule scope :premises (@p513)) % 12.70/12.98 (step @p301 :rule process_scope :premises (@p514) :args (@t214)) % 12.70/12.98 (step @p306 :rule implies_elim :premises (@p301)) % 12.70/12.98 (step @p307 :rule cnf_and_neg :args (@t215)) % 12.70/12.98 (step @p308 :rule resolution :premises (@p307 @p306) :args (true @t215)) % 12.70/12.98 (step @p309 :rule reordering :premises (@p308) :args ((or (not @t153) @t217 @t216 @t214 (not @t192)))) % 12.70/12.98 (step @p310 :rule instantiate :premises (@p146) :args ((@list @t200 @t163 @t208))) % 12.70/12.98 (step @p311 :rule cnf_or_pos :args (@t224)) % 12.70/12.98 (step @p312 :rule reordering :premises (@p311) :args ((or @t223 @t205 @t222 @t220 (not @t224)))) % 12.70/12.98 (assume-push @p515 @t154) % 12.70/12.98 (assume-push @p516 @t156) % 12.70/12.98 (assume-push @p517 @t209) % 12.70/12.98 (assume-push @p518 @t203) % 12.70/12.98 (assume-push @p519 @t220) % 12.70/12.98 (assume-push @p520 @t154) % 12.70/12.98 (assume-push @p521 @t156) % 12.70/12.98 (assume-push @p522 @t209) % 12.70/12.98 (assume-push @p523 @t203) % 12.70/12.98 (assume-push @p524 @t220) % 12.70/12.98 (step @p323 :rule true_intro :premises (@p184)) % 12.70/12.98 (step @p324 :rule symm :premises (@p187)) % 12.70/12.98 (step @p325 :rule symm :premises (@p517)) % 12.70/12.98 (step @p326 :rule symm :premises (@p518)) % 12.70/12.98 (step @p327 :rule refl :args (@t208)) % 12.70/12.98 (step @p328 :rule cong :premises (@p327 @p326) :args (@t218)) % 12.70/12.98 (step @p329 :rule trans :premises (@p519 @p328 @p325 @p324)) % 12.70/12.98 (step @p330 :rule cong :premises (@p329) :args (@t225)) % 12.70/12.98 (step @p331 :rule trans :premises (@p330 @p323)) % 12.70/12.98 (step @p332 :rule true_elim :premises (@p331)) % 12.70/12.98 (step-pop @p525 :rule scope :premises (@p332)) % 12.70/12.98 (step-pop @p526 :rule scope :premises (@p525)) % 12.70/12.98 (step-pop @p527 :rule scope :premises (@p526)) % 12.70/12.98 (step-pop @p528 :rule scope :premises (@p527)) % 12.70/12.98 (step-pop @p529 :rule scope :premises (@p528)) % 12.70/12.98 (step @p333 :rule process_scope :premises (@p529) :args (@t225)) % 12.70/12.98 (step @p339 :rule and_intro :premises (@p184 @p187 @p517 @p518 @p519)) % 12.70/12.98 (step @p340 :rule modus_ponens :premises (@p339 @p333)) % 12.70/12.98 (step-pop @p530 :rule scope :premises (@p340)) % 12.70/12.98 (step-pop @p531 :rule scope :premises (@p530)) % 12.70/12.98 (step-pop @p532 :rule scope :premises (@p531)) % 12.70/12.98 (step-pop @p533 :rule scope :premises (@p532)) % 12.70/12.98 (step-pop @p534 :rule scope :premises (@p533)) % 12.70/12.98 (step @p341 :rule process_scope :premises (@p534) :args (@t225)) % 12.70/12.98 (step @p347 :rule implies_elim :premises (@p341)) % 12.70/12.98 (step @p348 :rule cnf_and_neg :args (@t226)) % 12.70/12.98 (step @p349 :rule resolution :premises (@p348 @p347) :args (true @t226)) % 12.70/12.98 (step @p350 :rule refl :args (@t228)) % 12.70/12.98 (step @p351 :rule refl :args (@t229)) % 12.70/12.98 (step @p352 :rule refl :args (@t230)) % 12.70/12.98 (step @p353 :rule refl :args (@t231)) % 12.70/12.98 (step @p354 :rule refl :args (@t216)) % 12.70/12.98 (step @p355 :rule bool-double-not-elim :args (@t158)) % 12.70/12.98 (step @p356 :rule refl :args (@t217)) % 12.70/12.98 (step @p357 :rule refl :args (@t232)) % 12.70/12.98 (step @p358 :rule nary_cong :premises (@p357 @p356 @p355 @p354 @p353 @p352 @p351 @p350) :args ((or @t232 @t217 @t233 @t216 @t231 @t230 @t229 @t228))) % 12.70/12.98 (assume-push @p535 @t156) % 12.70/12.98 (assume-push @p536 @t157) % 12.70/12.98 (assume-push @p537 @t159) % 12.70/12.98 (assume-push @p538 @t199) % 12.70/12.98 (assume-push @p539 @t209) % 12.70/12.98 (assume-push @p540 @t203) % 12.70/12.98 (assume-push @p541 @t220) % 12.70/12.98 (assume-push @p542 @t159) % 12.70/12.98 (assume-push @p543 @t156) % 12.70/12.98 (assume-push @p544 @t209) % 12.70/12.98 (assume-push @p545 @t203) % 12.70/12.98 (assume-push @p546 @t220) % 12.70/12.98 (assume-push @p547 @t157) % 12.70/12.98 (assume-push @p548 @t199) % 12.70/12.98 (step @p373 :rule false_intro :premises (@p189)) % 12.70/12.98 (step @p283 :rule symm :premises (@p188)) % 12.70/12.98 (step @p374 :rule symm :premises (@p538)) % 12.70/12.98 (step @p375 :rule trans :premises (@p374 @p283)) % 12.70/12.98 (step @p324 :rule symm :premises (@p187)) % 12.70/12.98 (step @p376 :rule symm :premises (@p539)) % 12.70/12.98 (step @p377 :rule symm :premises (@p540)) % 12.70/12.98 (step @p327 :rule refl :args (@t208)) % 12.70/12.98 (step @p378 :rule cong :premises (@p327 @p377) :args (@t218)) % 12.70/12.98 (step @p379 :rule trans :premises (@p541 @p378 @p376 @p324)) % 12.70/12.98 (step @p380 :rule cong :premises (@p379 @p375) :args (@t227)) % 12.70/12.98 (step @p381 :rule trans :premises (@p380 @p373)) % 12.70/12.98 (step @p382 :rule false_elim :premises (@p381)) % 12.70/12.98 (step-pop @p549 :rule scope :premises (@p382)) % 12.70/12.98 (step-pop @p550 :rule scope :premises (@p549)) % 12.70/12.98 (step-pop @p551 :rule scope :premises (@p550)) % 12.70/12.98 (step-pop @p552 :rule scope :premises (@p551)) % 12.70/12.98 (step-pop @p553 :rule scope :premises (@p552)) % 12.70/12.98 (step-pop @p554 :rule scope :premises (@p553)) % 12.70/12.98 (step-pop @p555 :rule scope :premises (@p554)) % 12.70/12.98 (step @p383 :rule process_scope :premises (@p555) :args (@t228)) % 12.70/12.98 (step @p391 :rule and_intro :premises (@p189 @p187 @p539 @p540 @p541 @p188 @p538)) % 12.70/12.98 (step @p392 :rule modus_ponens :premises (@p391 @p383)) % 12.70/12.98 (step-pop @p556 :rule scope :premises (@p392)) % 12.70/12.98 (step-pop @p557 :rule scope :premises (@p556)) % 12.70/12.98 (step-pop @p558 :rule scope :premises (@p557)) % 12.70/12.98 (step-pop @p559 :rule scope :premises (@p558)) % 12.70/12.98 (step-pop @p560 :rule scope :premises (@p559)) % 12.70/12.98 (step-pop @p561 :rule scope :premises (@p560)) % 12.70/12.98 (step-pop @p562 :rule scope :premises (@p561)) % 12.70/12.98 (step @p393 :rule process_scope :premises (@p562) :args (@t228)) % 12.70/12.98 (step @p401 :rule implies_elim :premises (@p393)) % 12.70/12.98 (step @p402 :rule cnf_and_neg :args (@t234)) % 12.70/12.98 (step @p403 :rule resolution :premises (@p402 @p401) :args (true @t234)) % 12.70/12.98 (step @p404 :rule eq_resolve :premises (@p403 @p358)) % 12.70/12.98 (step @p405 :rule reordering :premises (@p404) :args ((or @t158 @t232 @t217 @t216 @t231 @t230 @t229 @t228))) % 12.70/12.98 (step @p406 :rule aci_norm :args ((= (or false @t111 @t47 @t61 @t236 @t235) (or @t111 @t47 @t61 @t236 @t235)))) % 12.70/12.98 (step @p407 :rule refl :args (@t235)) % 12.70/12.98 (step @p408 :rule refl :args (@t236)) % 12.70/12.98 (step @p409 :rule refl :args (@t111)) % 12.70/12.98 (step @p410 :rule eq-refl :args (@t137)) % 12.70/12.98 (step @p411 :rule cong :premises (@p410) :args (@t237)) % 12.70/12.98 (step @p412 :rule trans :premises (@p411 @p224)) % 12.70/12.98 (step @p413 :rule nary_cong :premises (@p412 @p409 @p201 @p202 @p408 @p407) :args (@t238)) % 12.70/12.98 (step @p414 :rule trans :premises (@p413 @p406)) % 12.70/12.98 (step @p415 :rule cong :premises (@p414) :args ((forall @t112 @t238))) % 12.70/12.98 (step @p416 :rule quant-var-elim-eq :args ((= (forall @t241 @t240) @t238))) % 12.70/12.98 (step @p417 :rule aci_norm :args ((= @t242 @t240))) % 12.70/12.98 (step @p418 :rule cong :premises (@p417) :args (@t243)) % 12.70/12.98 (step @p419 :rule trans :premises (@p418 @p416)) % 12.70/12.98 (step @p420 :rule cong :premises (@p419) :args (@t244)) % 12.70/12.98 (step @p421 :rule quant-merge-prenex :args ((= @t244 (forall @t135 @t242)))) % 12.70/12.98 (step @p422 :rule symm :premises (@p421)) % 12.70/12.98 (step @p423 :rule trans :premises (@p422 @p420)) % 12.70/12.98 (step @p424 :rule trans :premises (@p423 @p415)) % 12.70/12.98 (step @p425 :rule refl :args (@t136)) % 12.70/12.98 (step @p426 :rule refl :args (@t132)) % 12.70/12.98 (step @p427 :rule eq-symm :args (@t137 @t131)) % 12.70/12.98 (step @p428 :rule cong :premises (@p427) :args (@t138)) % 12.70/12.98 (step @p429 :rule nary_cong :premises (@p428 @p409 @p201 @p202 @p426 @p425) :args (@t139)) % 12.70/12.99 (step @p430 :rule cong :premises (@p429) :args (@t140)) % 12.70/12.99 (step @p431 :rule trans :premises (@p430 @p424)) % 12.70/12.99 (step @p432 :rule eq_resolve :premises (@p170 @p431)) % 12.70/12.99 (step @p433 :rule instantiate :premises (@p432) :args ((@list @t208 @t163 @t200))) % 12.70/12.99 (step @p434 :rule cnf_or_pos :args (@t246)) % 12.70/12.99 (step @p435 :rule reordering :premises (@p434) :args ((or @t223 @t205 @t222 @t245 @t227 (not @t246)))) % 12.70/12.99 (step @p436 :rule chain_m_resolution :premises (@p435 @p433 @p199 @p198 @p405 @p189 @p188 @p187 @p349 @p187 @p184 @p312 @p310 @p199 @p198 @p309 @p250 @p188 @p183 @p273 @p271 @p186 @p264 @p262 @p198 @p256 @p255 @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 @t246 @t221 @t204 @t227 @t158 @t157 @t156 @t225 @t156 @t154 @t220 @t224 @t221 @t204 @t214 @t192 @t157 @t153 @t209 @t212 @t155 @t203 @t207 @t204 @t166 @t199 @t161))) % 12.70/12.99 (step @p437 :rule refl :args (@t190)) % 12.70/12.99 (step @p438 :rule refl :args (@t247)) % 12.70/12.99 (step @p439 :rule refl :args (@t248)) % 12.70/12.99 (step @p440 :rule nary_cong :premises (@p357 @p356 @p355 @p439 @p438 @p437) :args ((or @t232 @t217 @t233 @t248 @t247 @t190))) % 12.70/12.99 (assume-push @p563 @t185) % 12.70/12.99 (assume-push @p564 @t160) % 12.70/12.99 (assume-push @p565 @t156) % 12.70/12.99 (assume-push @p566 @t162) % 12.70/12.99 (assume-push @p567 @t157) % 12.70/12.99 (assume-push @p568 @t159) % 12.70/12.99 (step @p447 :rule evaluate :args ((= false true))) % 12.70/12.99 (step @p448 :rule true_intro :premises (@p243)) % 12.70/12.99 (step @p449 :rule symm :premises (@p566)) % 12.70/12.99 (step @p450 :rule trans :premises (@p188 @p449)) % 12.70/12.99 (step @p451 :rule symm :premises (@p564)) % 12.70/12.99 (step @p452 :rule trans :premises (@p187 @p451)) % 12.70/12.99 (step @p453 :rule cong :premises (@p452 @p450) :args (@t158)) % 12.70/12.99 (step @p373 :rule false_intro :premises (@p189)) % 12.70/12.99 (step @p454 :rule symm :premises (@p373)) % 12.70/12.99 (step @p455 :rule trans :premises (@p454 @p453 @p448)) % 12.70/12.99 (step @p456 false :rule eq_resolve :premises (@p455 @p447)) % 12.70/12.99 (step-pop @p569 :rule scope :premises (@p456)) % 12.70/12.99 (step-pop @p570 :rule scope :premises (@p569)) % 12.70/12.99 (step-pop @p571 :rule scope :premises (@p570)) % 12.70/12.99 (step-pop @p572 :rule scope :premises (@p571)) % 12.70/12.99 (step-pop @p573 :rule scope :premises (@p572)) % 12.70/12.99 (step-pop @p574 :rule scope :premises (@p573)) % 12.70/12.99 (step @p457 :rule process_scope :premises (@p574) :args (false)) % 12.70/12.99 (assume-push @p575 @t156) % 12.70/12.99 (assume-push @p576 @t157) % 12.70/12.99 (assume-push @p577 @t159) % 12.70/12.99 (assume-push @p578 @t160) % 12.70/12.99 (assume-push @p579 @t162) % 12.70/12.99 (assume-push @p580 @t185) % 12.70/12.99 (step @p470 :rule and_intro :premises (@p243 @p578 @p187 @p579 @p188 @p189)) % 12.70/12.99 (step-pop @p581 :rule scope :premises (@p470)) % 12.70/12.99 (step-pop @p582 :rule scope :premises (@p581)) % 12.70/12.99 (step-pop @p583 :rule scope :premises (@p582)) % 12.70/12.99 (step-pop @p584 :rule scope :premises (@p583)) % 12.70/12.99 (step-pop @p585 :rule scope :premises (@p584)) % 12.70/12.99 (step-pop @p586 :rule scope :premises (@p585)) % 12.70/12.99 (step @p471 :rule process_scope :premises (@p586) :args (@t249)) % 12.70/12.99 (step @p478 :rule implies_elim :premises (@p471)) % 12.70/12.99 (step @p479 :rule resolution :premises (@p478 @p457) :args (true @t249)) % 12.70/12.99 (step @p480 :rule not_and :premises (@p479)) % 12.70/12.99 (step @p481 :rule eq_resolve :premises (@p480 @p440)) % 12.70/12.99 (step @p482 :rule reordering :premises (@p481) :args ((or @t158 @t190 @t232 @t217 @t248 @t247))) % 12.70/12.99 (step @p483 :rule chain_m_resolution :premises (@p482 @p189 @p243 @p187 @p188 @p436) :args (@t247 (@list true false false false false) (@list @t158 @t185 @t156 @t157 @t160))) % 12.70/12.99 (step @p484 :rule refl :args (@t162)) % 12.70/12.99 (step @p485 :rule nary_cong :premises (@p252 @p484) :args (@t173)) % 12.70/12.99 (step @p486 :rule eq_resolve :premises (@p195 @p485)) % 12.70/12.99 (step @p487 :rule reordering :premises (@p486) :args ((or @t162 @t199))) % 12.70/12.99 (step @p488 :rule chain_m_resolution :premises (@p487 @p483) :args (@t199 @t250 @t251)) % 12.70/12.99 (step @p489 :rule chain_m_resolution :premises (@p309 @p183 @p188 @p488 @p250) :args (@t214 @t198 (@list @t153 @t157 @t199 @t192))) % 12.70/12.99 (step @p490 :rule chain_m_resolution :premises (@p312 @p489 @p198 @p199 @p310) :args (@t220 @t198 (@list @t214 @t204 @t221 @t224))) % 12.70/12.99 (step @p491 :rule chain_m_resolution :premises (@p191 @p483) :args (@t161 @t250 @t251)) % 12.70/12.99 (step @p492 :rule chain_m_resolution :premises (@p264 @p491 @p198 @p262) :args (@t203 @t184 (@list @t161 @t204 @t207))) % 12.70/12.99 (step @p493 :rule reordering :premises (@p196) :args ((or @t162 @t166))) % 12.70/12.99 (step @p494 :rule chain_m_resolution :premises (@p493 @p483) :args (@t166 @t250 @t251)) % 12.70/12.99 (step @p495 :rule chain_m_resolution :premises (@p273 @p186 @p491 @p494 @p271) :args (@t209 @t198 (@list @t155 @t161 @t166 @t212))) % 12.70/12.99 (step @p496 :rule chain_m_resolution :premises (@p405 @p189 @p187 @p188 @p488 @p495 @p492 @p490) :args (@t228 (@list true false false false false false false) (@list @t158 @t156 @t157 @t199 @t209 @t203 @t220))) % 12.70/12.99 (step @p497 :rule chain_m_resolution :premises (@p349 @p184 @p187 @p495 @p492 @p490) :args (@t225 (@list false false false false false) (@list @t154 @t156 @t209 @t203 @t220))) % 12.70/12.99 (step @p498 false :rule chain_m_resolution :premises (@p435 @p497 @p496 @p433 @p489 @p199 @p198) :args (false (@list false true false false false false) (@list @t225 @t227 @t246 @t214 @t221 @t204))) % 12.70/12.99 ) % 12.70/13.04 % SZS output end Proof % 12.70/13.04 % cvc5 exiting %------------------------------------------------------------------------------