%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC046-1 : 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 : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:50 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.84s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC046-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n007.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:10:41 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.84 % SZS status Unsatisfiable % 0.40/0.84 % SZS output start Proof % 0.40/0.85 ( % 0.40/0.85 (declare-sort $$unsorted 0) % 0.40/0.85 (declare-const tptp.sk5 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.sk4 $$unsorted) % 0.40/0.85 (declare-const tptp.sk2 $$unsorted) % 0.40/0.85 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.nil $$unsorted) % 0.40/0.85 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.sk1 $$unsorted) % 0.40/0.85 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skac2 $$unsorted) % 0.40/0.85 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.sk3 $$unsorted) % 0.40/0.85 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skac3 $$unsorted) % 0.40/0.85 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.85 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.40/0.85 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.40/0.85 (define @t1 () (@var "U" $$unsorted)) % 0.40/0.85 (define @t2 () (tptp.skaf83 @t1)) % 0.40/0.85 (define @t3 () (@list @t1)) % 0.40/0.85 (define @t4 () (tptp.skaf82 @t1)) % 0.40/0.85 (define @t5 () (tptp.skaf81 @t1)) % 0.40/0.85 (define @t6 () (tptp.skaf80 @t1)) % 0.40/0.85 (define @t7 () (tptp.skaf79 @t1)) % 0.40/0.85 (define @t8 () (tptp.skaf78 @t1)) % 0.40/0.85 (define @t9 () (tptp.skaf77 @t1)) % 0.40/0.85 (define @t10 () (tptp.skaf76 @t1)) % 0.40/0.85 (define @t11 () (tptp.skaf75 @t1)) % 0.40/0.85 (define @t12 () (tptp.skaf74 @t1)) % 0.40/0.85 (define @t13 () (tptp.skaf73 @t1)) % 0.40/0.85 (define @t14 () (tptp.skaf72 @t1)) % 0.40/0.85 (define @t15 () (tptp.skaf71 @t1)) % 0.40/0.85 (define @t16 () (tptp.skaf70 @t1)) % 0.40/0.85 (define @t17 () (tptp.skaf69 @t1)) % 0.40/0.85 (define @t18 () (tptp.skaf68 @t1)) % 0.40/0.85 (define @t19 () (tptp.skaf67 @t1)) % 0.40/0.85 (define @t20 () (tptp.skaf66 @t1)) % 0.40/0.85 (define @t21 () (tptp.skaf65 @t1)) % 0.40/0.85 (define @t22 () (tptp.skaf64 @t1)) % 0.40/0.85 (define @t23 () (tptp.skaf63 @t1)) % 0.40/0.85 (define @t24 () (tptp.skaf62 @t1)) % 0.40/0.85 (define @t25 () (tptp.skaf61 @t1)) % 0.40/0.85 (define @t26 () (tptp.skaf60 @t1)) % 0.40/0.85 (define @t27 () (tptp.skaf59 @t1)) % 0.40/0.85 (define @t28 () (tptp.skaf58 @t1)) % 0.40/0.85 (define @t29 () (tptp.skaf57 @t1)) % 0.40/0.85 (define @t30 () (tptp.skaf56 @t1)) % 0.40/0.85 (define @t31 () (tptp.skaf55 @t1)) % 0.40/0.85 (define @t32 () (tptp.skaf54 @t1)) % 0.40/0.85 (define @t33 () (tptp.skaf53 @t1)) % 0.40/0.85 (define @t34 () (tptp.skaf52 @t1)) % 0.40/0.85 (define @t35 () (tptp.skaf51 @t1)) % 0.40/0.85 (define @t36 () (tptp.skaf50 @t1)) % 0.40/0.85 (define @t37 () (tptp.skaf49 @t1)) % 0.40/0.85 (define @t38 () (tptp.skaf44 @t1)) % 0.40/0.85 (define @t39 () (@var "V" $$unsorted)) % 0.40/0.85 (define @t40 () (@list @t1 @t39)) % 0.40/0.85 (define @t41 () (tptp.skaf47 @t1 @t39)) % 0.40/0.85 (define @t42 () (tptp.skaf46 @t1 @t39)) % 0.40/0.85 (define @t43 () (tptp.skaf45 @t1 @t39)) % 0.40/0.85 (define @t44 () (tptp.skaf42 @t1 @t39)) % 0.40/0.85 (define @t45 () (not (tptp.ssItem @t1))) % 0.40/0.85 (define @t46 () (not (tptp.ssList @t1))) % 0.40/0.85 (define @t47 () (tptp.cons @t1 tptp.nil)) % 0.40/0.85 (define @t48 () (tptp.ssItem @t39)) % 0.40/0.85 (define @t49 () (tptp.duplicatefreeP @t1)) % 0.40/0.85 (define @t50 () (= tptp.nil @t1)) % 0.40/0.85 (define @t51 () (tptp.tl @t1)) % 0.40/0.85 (define @t52 () (tptp.hd @t1)) % 0.40/0.85 (define @t53 () (tptp.segmentP tptp.nil @t1)) % 0.40/0.85 (define @t54 () (not @t50)) % 0.40/0.85 (define @t55 () (tptp.rearsegP tptp.nil @t1)) % 0.40/0.85 (define @t56 () (tptp.frontsegP tptp.nil @t1)) % 0.40/0.85 (define @t57 () (tptp.app @t39 @t1)) % 0.40/0.85 (define @t58 () (not (tptp.ssList @t39))) % 0.40/0.85 (define @t59 () (tptp.cons @t1 @t39)) % 0.40/0.85 (define @t60 () (tptp.cyclefreeP @t1)) % 0.40/0.85 (define @t61 () (tptp.equalelemsP @t1)) % 0.40/0.85 (define @t62 () (tptp.strictorderedP @t1)) % 0.40/0.85 (define @t63 () (tptp.totalorderedP @t1)) % 0.40/0.85 (define @t64 () (tptp.strictorderP @t1)) % 0.40/0.85 (define @t65 () (tptp.totalorderP @t1)) % 0.40/0.85 (define @t66 () (tptp.hd @t59)) % 0.40/0.85 (define @t67 () (or @t45 @t58 (= @t66 @t1))) % 0.40/0.85 (define @t68 () (forall @t40 @t67)) % 0.40/0.85 (define @t69 () (= @t39 @t1)) % 0.40/0.85 (define @t70 () (tptp.neq @t39 @t1)) % 0.40/0.85 (define @t71 () (not @t48)) % 0.40/0.85 (define @t72 () (tptp.leq @t1 @t39)) % 0.40/0.85 (define @t73 () (tptp.lt @t1 @t39)) % 0.40/0.85 (define @t74 () (not @t73)) % 0.40/0.85 (define @t75 () (tptp.cons @t52 @t51)) % 0.40/0.85 (define @t76 () (or @t46 (= @t75 @t1) @t50)) % 0.40/0.85 (define @t77 () (forall @t3 @t76)) % 0.40/0.85 (define @t78 () (tptp.lt @t39 @t1)) % 0.40/0.85 (define @t79 () (not (tptp.gt @t1 @t39))) % 0.40/0.85 (define @t80 () (tptp.gt @t39 @t1)) % 0.40/0.85 (define @t81 () (tptp.leq @t39 @t1)) % 0.40/0.85 (define @t82 () (not (tptp.geq @t1 @t39))) % 0.40/0.85 (define @t83 () (tptp.geq @t39 @t1)) % 0.40/0.85 (define @t84 () (not @t72)) % 0.40/0.85 (define @t85 () (tptp.cons @t2 @t4)) % 0.40/0.85 (define @t86 () (or @t46 (= @t85 @t1) @t50)) % 0.40/0.85 (define @t87 () (forall @t3 @t86)) % 0.40/0.85 (define @t88 () (= @t1 @t39)) % 0.40/0.85 (define @t89 () (not @t88)) % 0.40/0.85 (define @t90 () (tptp.cons @t39 @t1)) % 0.40/0.85 (define @t91 () (not (tptp.neq @t1 @t39))) % 0.40/0.85 (define @t92 () (tptp.app @t1 @t39)) % 0.40/0.85 (define @t93 () (= @t92 tptp.nil)) % 0.40/0.85 (define @t94 () (not @t93)) % 0.40/0.85 (define @t95 () (= tptp.nil @t39)) % 0.40/0.85 (define @t96 () (tptp.hd @t39)) % 0.40/0.85 (define @t97 () (tptp.strictorderedP @t39)) % 0.40/0.85 (define @t98 () (tptp.strictorderedP @t59)) % 0.40/0.85 (define @t99 () (not @t98)) % 0.40/0.85 (define @t100 () (tptp.totalorderedP @t39)) % 0.40/0.85 (define @t101 () (tptp.totalorderedP @t59)) % 0.40/0.85 (define @t102 () (not @t101)) % 0.40/0.85 (define @t103 () (not (tptp.segmentP @t1 @t39))) % 0.40/0.85 (define @t104 () (not (tptp.rearsegP @t1 @t39))) % 0.40/0.85 (define @t105 () (not (tptp.frontsegP @t1 @t39))) % 0.40/0.85 (define @t106 () (not @t81)) % 0.40/0.85 (define @t107 () (tptp.tl @t39)) % 0.40/0.85 (define @t108 () (tptp.lt @t1 @t96)) % 0.40/0.85 (define @t109 () (tptp.leq @t1 @t96)) % 0.40/0.85 (define @t110 () (@var "W" $$unsorted)) % 0.40/0.85 (define @t111 () (tptp.app @t110 @t1)) % 0.40/0.85 (define @t112 () (not (tptp.ssList @t110))) % 0.40/0.85 (define @t113 () (@list @t1 @t39 @t110)) % 0.40/0.85 (define @t114 () (tptp.app @t1 @t110)) % 0.40/0.85 (define @t115 () (tptp.cons @t39 @t110)) % 0.40/0.85 (define @t116 () (tptp.memberP @t115 @t1)) % 0.40/0.85 (define @t117 () (or @t89 @t112 @t71 @t45 @t116)) % 0.40/0.85 (define @t118 () (forall @t113 @t117)) % 0.40/0.85 (define @t119 () (tptp.cons @t110 @t1)) % 0.40/0.85 (define @t120 () (not (tptp.ssItem @t110))) % 0.40/0.85 (define @t121 () (not (tptp.memberP @t1 @t39))) % 0.40/0.85 (define @t122 () (not (= @t92 @t110))) % 0.40/0.85 (define @t123 () (tptp.lt @t1 @t110)) % 0.40/0.85 (define @t124 () (not (tptp.lt @t39 @t110))) % 0.40/0.85 (define @t125 () (tptp.app @t110 @t39)) % 0.40/0.85 (define @t126 () (= @t39 @t110)) % 0.40/0.85 (define @t127 () (= @t1 @t110)) % 0.40/0.85 (define @t128 () (tptp.memberP @t39 @t110)) % 0.40/0.85 (define @t129 () (@var "X" $$unsorted)) % 0.40/0.85 (define @t130 () (not (tptp.ssList @t129))) % 0.40/0.85 (define @t131 () (tptp.cons @t110 @t129)) % 0.40/0.85 (define @t132 () (not (= @t59 @t131))) % 0.40/0.85 (define @t133 () (@list @t1 @t39 @t110 @t129)) % 0.40/0.85 (define @t134 () (not (tptp.frontsegP @t59 @t131))) % 0.40/0.85 (define @t135 () (tptp.app @t1 @t115)) % 0.40/0.85 (define @t136 () (not (tptp.ssItem @t129))) % 0.40/0.85 (define @t137 () (@var "Y" $$unsorted)) % 0.40/0.85 (define @t138 () (not (tptp.ssList @t137))) % 0.40/0.85 (define @t139 () (@list @t1 @t39 @t110 @t129 @t137)) % 0.40/0.85 (define @t140 () (tptp.lt @t39 @t129)) % 0.40/0.85 (define @t141 () (@var "Z" $$unsorted)) % 0.40/0.85 (define @t142 () (not (tptp.ssList @t141))) % 0.40/0.85 (define @t143 () (not (= (tptp.app @t135 (tptp.cons @t129 @t137)) @t141))) % 0.40/0.85 (define @t144 () (@list @t1 @t39 @t110 @t129 @t137 @t141)) % 0.40/0.85 (define @t145 () (tptp.leq @t39 @t129)) % 0.40/0.85 (define @t146 () (tptp.ssList tptp.sk1)) % 0.40/0.85 (define @t147 () (= tptp.nil tptp.sk1)) % 0.40/0.85 (define @t148 () (@var "A" $$unsorted)) % 0.40/0.85 (define @t149 () (tptp.memberP tptp.sk4 @t148)) % 0.40/0.85 (define @t150 () (not @t149)) % 0.40/0.85 (define @t151 () (tptp.sk5 @t148)) % 0.40/0.85 (define @t152 () (tptp.memberP tptp.sk3 @t148)) % 0.40/0.85 (define @t153 () (not (tptp.ssItem @t148))) % 0.40/0.85 (define @t154 () (@list @t148)) % 0.40/0.85 (define @t155 () (tptp.cons @t148 tptp.nil)) % 0.40/0.85 (define @t156 () (not @t152)) % 0.40/0.85 (define @t157 () (@var "B" $$unsorted)) % 0.40/0.85 (define @t158 () (@list tptp.sk1)) % 0.40/0.85 (define @t159 () (tptp.hd tptp.sk1)) % 0.40/0.85 (define @t160 () (tptp.ssItem @t159)) % 0.40/0.85 (define @t161 () (not @t146)) % 0.40/0.85 (define @t162 () (or @t161 @t160 @t147)) % 0.40/0.85 (define @t163 () (@list true false false)) % 0.40/0.85 (define @t164 () (@list @t159)) % 0.40/0.85 (define @t165 () (tptp.memberP @t115 @t39)) % 0.40/0.85 (define @t166 () (not (= @t39 @t39))) % 0.40/0.85 (define @t167 () (or @t166 @t112 @t71 @t71 @t165)) % 0.40/0.85 (define @t168 () (@list @t39 @t110)) % 0.40/0.85 (define @t169 () (or @t89 @t89 @t112 @t71 @t45 @t116)) % 0.40/0.85 (define @t170 () (forall @t3 @t117)) % 0.40/0.85 (define @t171 () (forall @t168 @t170)) % 0.40/0.85 (define @t172 () (forall (@list @t39 @t110 @t1) @t117)) % 0.40/0.85 (define @t173 () (tptp.skaf82 tptp.sk1)) % 0.40/0.85 (define @t174 () (tptp.skaf83 tptp.sk1)) % 0.40/0.85 (define @t175 () (@list @t174 @t173)) % 0.40/0.85 (define @t176 () (tptp.cons @t174 @t173)) % 0.40/0.85 (define @t177 () (tptp.memberP @t176 @t174)) % 0.40/0.85 (define @t178 () (tptp.ssItem @t174)) % 0.40/0.85 (define @t179 () (not @t178)) % 0.40/0.85 (define @t180 () (tptp.ssList @t173)) % 0.40/0.85 (define @t181 () (not @t180)) % 0.40/0.85 (define @t182 () (or @t181 @t179 @t177)) % 0.40/0.85 (define @t183 () (@list false false false)) % 0.40/0.85 (define @t184 () (= @t174 (tptp.hd @t176))) % 0.40/0.85 (define @t185 () (or @t179 @t181 @t184)) % 0.40/0.85 (define @t186 () (= tptp.sk1 @t176)) % 0.40/0.85 (define @t187 () (or @t161 @t186 @t147)) % 0.40/0.85 (define @t188 () (tptp.cons @t159 (tptp.tl tptp.sk1))) % 0.40/0.85 (define @t189 () (= tptp.sk1 @t188)) % 0.40/0.85 (define @t190 () (or @t161 @t189 @t147)) % 0.40/0.85 (define @t191 () (tptp.memberP tptp.sk3 @t159)) % 0.40/0.85 (define @t192 () (not @t160)) % 0.40/0.85 (define @t193 () (not (tptp.memberP tptp.nil @t159))) % 0.40/0.85 (define @t194 () (or @t193 @t192)) % 0.40/0.85 (define @t195 () (tptp.memberP tptp.sk4 @t159)) % 0.40/0.85 (define @t196 () (not @t191)) % 0.40/0.85 (define @t197 () (or @t192 @t196 @t195)) % 0.40/0.85 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.40/0.85 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.40/0.85 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.40/0.85 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.40/0.85 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.40/0.85 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.40/0.85 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.40/0.85 (assume @p8 (tptp.ssList tptp.nil)) % 0.40/0.85 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.40/0.85 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.40/0.85 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.40/0.85 (assume @p12 (forall @t3 (tptp.ssItem @t2))) % 0.40/0.85 (assume @p13 (forall @t3 (tptp.ssList @t4))) % 0.40/0.85 (assume @p14 (forall @t3 (tptp.ssList @t5))) % 0.40/0.85 (assume @p15 (forall @t3 (tptp.ssList @t6))) % 0.40/0.85 (assume @p16 (forall @t3 (tptp.ssItem @t7))) % 0.40/0.85 (assume @p17 (forall @t3 (tptp.ssItem @t8))) % 0.40/0.85 (assume @p18 (forall @t3 (tptp.ssList @t9))) % 0.40/0.85 (assume @p19 (forall @t3 (tptp.ssList @t10))) % 0.40/0.85 (assume @p20 (forall @t3 (tptp.ssList @t11))) % 0.40/0.85 (assume @p21 (forall @t3 (tptp.ssItem @t12))) % 0.40/0.85 (assume @p22 (forall @t3 (tptp.ssList @t13))) % 0.40/0.85 (assume @p23 (forall @t3 (tptp.ssList @t14))) % 0.40/0.85 (assume @p24 (forall @t3 (tptp.ssList @t15))) % 0.40/0.85 (assume @p25 (forall @t3 (tptp.ssItem @t16))) % 0.40/0.85 (assume @p26 (forall @t3 (tptp.ssItem @t17))) % 0.40/0.85 (assume @p27 (forall @t3 (tptp.ssList @t18))) % 0.40/0.85 (assume @p28 (forall @t3 (tptp.ssList @t19))) % 0.40/0.85 (assume @p29 (forall @t3 (tptp.ssList @t20))) % 0.40/0.85 (assume @p30 (forall @t3 (tptp.ssItem @t21))) % 0.40/0.85 (assume @p31 (forall @t3 (tptp.ssItem @t22))) % 0.40/0.85 (assume @p32 (forall @t3 (tptp.ssList @t23))) % 0.40/0.85 (assume @p33 (forall @t3 (tptp.ssList @t24))) % 0.40/0.85 (assume @p34 (forall @t3 (tptp.ssList @t25))) % 0.40/0.85 (assume @p35 (forall @t3 (tptp.ssItem @t26))) % 0.40/0.85 (assume @p36 (forall @t3 (tptp.ssItem @t27))) % 0.40/0.85 (assume @p37 (forall @t3 (tptp.ssList @t28))) % 0.40/0.85 (assume @p38 (forall @t3 (tptp.ssList @t29))) % 0.40/0.85 (assume @p39 (forall @t3 (tptp.ssList @t30))) % 0.40/0.85 (assume @p40 (forall @t3 (tptp.ssItem @t31))) % 0.40/0.85 (assume @p41 (forall @t3 (tptp.ssItem @t32))) % 0.40/0.85 (assume @p42 (forall @t3 (tptp.ssList @t33))) % 0.40/0.85 (assume @p43 (forall @t3 (tptp.ssList @t34))) % 0.40/0.85 (assume @p44 (forall @t3 (tptp.ssList @t35))) % 0.40/0.85 (assume @p45 (forall @t3 (tptp.ssItem @t36))) % 0.40/0.85 (assume @p46 (forall @t3 (tptp.ssItem @t37))) % 0.40/0.85 (assume @p47 (forall @t3 (tptp.ssItem @t38))) % 0.40/0.85 (assume @p48 (forall @t40 (tptp.ssList (tptp.skaf48 @t1 @t39)))) % 0.40/0.85 (assume @p49 (forall @t40 (tptp.ssList @t41))) % 0.40/0.85 (assume @p50 (forall @t40 (tptp.ssList @t42))) % 0.40/0.85 (assume @p51 (forall @t40 (tptp.ssList @t43))) % 0.40/0.85 (assume @p52 (forall @t40 (tptp.ssList (tptp.skaf43 @t1 @t39)))) % 0.40/0.85 (assume @p53 (forall @t40 (tptp.ssList @t44))) % 0.40/0.85 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.40/0.85 (assume @p55 (forall @t3 (or @t45 (tptp.geq @t1 @t1)))) % 0.40/0.85 (assume @p56 (forall @t3 (or @t46 (tptp.segmentP @t1 tptp.nil)))) % 0.40/0.85 (assume @p57 (forall @t3 (or @t46 (tptp.segmentP @t1 @t1)))) % 0.40/0.85 (assume @p58 (forall @t3 (or @t46 (tptp.rearsegP @t1 tptp.nil)))) % 0.40/0.85 (assume @p59 (forall @t3 (or @t46 (tptp.rearsegP @t1 @t1)))) % 0.40/0.85 (assume @p60 (forall @t3 (or @t46 (tptp.frontsegP @t1 tptp.nil)))) % 0.40/0.85 (assume @p61 (forall @t3 (or @t46 (tptp.frontsegP @t1 @t1)))) % 0.40/0.85 (assume @p62 (forall @t3 (or @t45 (tptp.leq @t1 @t1)))) % 0.40/0.85 (assume @p63 (forall @t3 (or (not (tptp.lt @t1 @t1)) @t45))) % 0.40/0.85 (assume @p64 (forall @t3 (or @t45 (tptp.equalelemsP @t47)))) % 0.40/0.85 (assume @p65 (forall @t3 (or @t45 (tptp.duplicatefreeP @t47)))) % 0.40/0.85 (assume @p66 (forall @t3 (or @t45 (tptp.strictorderedP @t47)))) % 0.40/0.85 (assume @p67 (forall @t3 (or @t45 (tptp.totalorderedP @t47)))) % 0.40/0.85 (assume @p68 (forall @t3 (or @t45 (tptp.strictorderP @t47)))) % 0.40/0.85 (assume @p69 (forall @t3 (or @t45 (tptp.totalorderP @t47)))) % 0.40/0.85 (assume @p70 (forall @t3 (or @t45 (tptp.cyclefreeP @t47)))) % 0.40/0.85 (assume @p71 (forall @t3 (or (not (tptp.memberP tptp.nil @t1)) @t45))) % 0.40/0.85 (assume @p72 (forall @t40 (or @t46 @t49 @t48))) % 0.40/0.85 (assume @p73 (forall @t3 (or @t46 (= (tptp.app @t1 tptp.nil) @t1)))) % 0.40/0.85 (assume @p74 (forall @t3 (or @t46 (= (tptp.app tptp.nil @t1) @t1)))) % 0.40/0.85 (assume @p75 (forall @t3 (or @t46 (tptp.ssList @t51) @t50))) % 0.40/0.85 (assume @p76 (forall @t3 (or @t46 (tptp.ssItem @t52) @t50))) % 0.40/0.85 (assume @p77 (forall @t3 (or @t54 @t46 @t53))) % 0.40/0.85 (assume @p78 (forall @t3 (or (not @t53) @t46 @t50))) % 0.40/0.85 (assume @p79 (forall @t3 (or @t54 @t46 @t55))) % 0.40/0.85 (assume @p80 (forall @t3 (or (not @t55) @t46 @t50))) % 0.40/0.85 (assume @p81 (forall @t3 (or @t54 @t46 @t56))) % 0.40/0.85 (assume @p82 (forall @t3 (or (not @t56) @t46 @t50))) % 0.40/0.85 (assume @p83 (forall @t40 (or @t46 @t58 (tptp.ssList @t57)))) % 0.40/0.85 (assume @p84 (forall @t40 (or @t45 @t58 (tptp.ssList @t59)))) % 0.40/0.85 (assume @p85 (forall @t3 (or @t46 @t60 (tptp.leq @t36 @t37)))) % 0.40/0.85 (assume @p86 (forall @t3 (or @t46 @t60 (tptp.leq @t37 @t36)))) % 0.40/0.85 (assume @p87 (forall @t3 (or (not (= @t7 @t8)) @t46 @t61))) % 0.40/0.85 (assume @p88 (forall @t3 (or (not (tptp.lt @t17 @t16)) @t46 @t62))) % 0.40/0.85 (assume @p89 (forall @t3 (or (not (tptp.leq @t22 @t21)) @t46 @t63))) % 0.40/0.85 (assume @p90 (forall @t3 (or (not (tptp.lt @t26 @t27)) @t46 @t64))) % 0.40/0.85 (assume @p91 (forall @t3 (or (not (tptp.lt @t27 @t26)) @t46 @t64))) % 0.40/0.85 (assume @p92 (forall @t3 (or (not (tptp.leq @t31 @t32)) @t46 @t65))) % 0.40/0.85 (assume @p93 (forall @t3 (or (not (tptp.leq @t32 @t31)) @t46 @t65))) % 0.40/0.85 (assume @p94 (forall @t40 (or @t45 @t58 (= (tptp.tl @t59) @t39)))) % 0.40/0.85 (assume @p95 @t68) % 0.40/0.85 (assume @p96 (forall @t40 (or (not (= @t59 tptp.nil)) @t45 @t58))) % 0.40/0.85 (assume @p97 (forall @t40 (or (not (= @t59 @t39)) @t45 @t58))) % 0.40/0.85 (assume @p98 (forall @t40 (or @t46 @t58 @t70 @t69))) % 0.40/0.85 (assume @p99 (forall @t3 (or (not (tptp.singletonP @t1)) @t46 (= (tptp.cons @t38 tptp.nil) @t1)))) % 0.40/0.85 (assume @p100 (forall @t40 (or @t45 @t71 @t70 @t69))) % 0.40/0.85 (assume @p101 (forall @t40 (or @t74 @t71 @t45 @t72))) % 0.40/0.85 (assume @p102 @t77) % 0.40/0.85 (assume @p103 (forall @t40 (or @t79 @t71 @t45 @t78))) % 0.40/0.85 (assume @p104 (forall @t40 (or @t74 @t45 @t71 @t80))) % 0.40/0.85 (assume @p105 (forall @t40 (or @t82 @t71 @t45 @t81))) % 0.40/0.85 (assume @p106 (forall @t40 (or @t84 @t45 @t71 @t83))) % 0.40/0.85 (assume @p107 @t87) % 0.40/0.85 (assume @p108 (forall @t40 (or @t79 (not @t80) @t45 @t71))) % 0.40/0.85 (assume @p109 (forall @t40 (or @t89 @t74 @t71 @t45))) % 0.40/0.85 (assume @p110 (forall @t40 (or @t54 @t46 @t71 (tptp.strictorderedP @t90)))) % 0.40/0.85 (assume @p111 (forall @t40 (or @t54 @t46 @t71 (tptp.totalorderedP @t90)))) % 0.40/0.85 (assume @p112 (forall @t40 (or @t74 (not @t78) @t45 @t71))) % 0.40/0.85 (assume @p113 (forall @t40 (or @t89 @t91 @t58 @t46))) % 0.40/0.85 (assume @p114 (forall @t40 (or (not (= @t47 @t39)) @t45 @t58 (tptp.singletonP @t39)))) % 0.40/0.85 (assume @p115 (forall @t40 (or @t89 @t91 @t71 @t45))) % 0.40/0.85 (assume @p116 (forall @t40 (or @t94 @t58 @t46 @t50))) % 0.40/0.85 (assume @p117 (forall @t40 (or @t94 @t58 @t46 @t95))) % 0.40/0.85 (assume @p118 (forall @t40 (or @t45 @t58 (= (tptp.app @t47 @t39) @t59)))) % 0.40/0.85 (assume @p119 (forall @t40 (or @t84 @t71 @t45 @t73 @t88))) % 0.40/0.85 (assume @p120 (forall @t40 (or @t46 @t58 @t95 (= (tptp.hd @t57) @t96)))) % 0.40/0.85 (assume @p121 (forall @t40 (or @t99 @t58 @t45 @t97 @t95))) % 0.40/0.85 (assume @p122 (forall @t40 (or @t102 @t58 @t45 @t100 @t95))) % 0.40/0.85 (assume @p123 (forall @t40 (or @t82 (not @t83) @t45 @t71 @t69))) % 0.40/0.85 (assume @p124 (forall @t40 (or @t103 (not (tptp.segmentP @t39 @t1)) @t46 @t58 @t69))) % 0.40/0.85 (assume @p125 (forall @t40 (or @t104 (not (tptp.rearsegP @t39 @t1)) @t46 @t58 @t69))) % 0.40/0.85 (assume @p126 (forall @t40 (or @t105 (not (tptp.frontsegP @t39 @t1)) @t46 @t58 @t69))) % 0.40/0.85 (assume @p127 (forall @t40 (or @t84 @t106 @t45 @t71 @t69))) % 0.40/0.85 (assume @p128 (forall @t40 (or @t104 @t58 @t46 (= (tptp.app @t42 @t39) @t1)))) % 0.40/0.85 (assume @p129 (forall @t40 (or @t105 @t58 @t46 (= (tptp.app @t39 @t43) @t1)))) % 0.40/0.85 (assume @p130 (forall @t40 (or @t46 @t58 @t95 (= (tptp.tl @t57) (tptp.app @t107 @t1))))) % 0.40/0.85 (assume @p131 (forall @t40 (or @t99 @t58 @t45 @t108 @t95))) % 0.40/0.85 (assume @p132 (forall @t40 (or @t102 @t58 @t45 @t109 @t95))) % 0.40/0.85 (assume @p133 (forall @t113 (or @t104 @t112 @t58 @t46 (tptp.rearsegP @t111 @t39)))) % 0.40/0.85 (assume @p134 (forall @t113 (or @t105 @t112 @t58 @t46 (tptp.frontsegP @t114 @t39)))) % 0.40/0.85 (assume @p135 @t118) % 0.40/0.85 (assume @p136 (forall @t113 (or @t121 @t46 @t120 @t71 (tptp.memberP @t119 @t39)))) % 0.40/0.85 (assume @p137 (forall @t113 (or @t121 @t112 @t46 @t71 (tptp.memberP @t114 @t39)))) % 0.40/0.85 (assume @p138 (forall @t113 (or @t121 @t46 @t112 @t71 (tptp.memberP @t111 @t39)))) % 0.40/0.85 (assume @p139 (forall @t3 (or @t46 @t61 (= (tptp.app @t6 (tptp.cons @t8 (tptp.cons @t7 @t5))) @t1)))) % 0.40/0.85 (assume @p140 (forall @t113 (or @t122 @t46 @t58 @t112 (tptp.rearsegP @t110 @t39)))) % 0.40/0.85 (assume @p141 (forall @t113 (or @t122 @t58 @t46 @t112 (tptp.frontsegP @t110 @t1)))) % 0.40/0.85 (assume @p142 (forall @t40 (or @t54 (not @t95) @t58 @t46 @t93))) % 0.40/0.85 (assume @p143 (forall @t113 (or @t79 (not (tptp.gt @t39 @t110)) @t120 @t71 @t45 (tptp.gt @t1 @t110)))) % 0.40/0.85 (assume @p144 (forall @t113 (or @t84 @t124 @t120 @t71 @t45 @t123))) % 0.40/0.85 (assume @p145 (forall @t113 (or @t82 (not (tptp.geq @t39 @t110)) @t120 @t71 @t45 (tptp.geq @t1 @t110)))) % 0.40/0.85 (assume @p146 (forall @t113 (or @t46 @t58 @t112 (= (tptp.app @t125 @t1) (tptp.app @t110 @t57))))) % 0.40/0.85 (assume @p147 (forall @t113 (or (not (= @t92 @t114)) @t58 @t46 @t112 @t126))) % 0.40/0.85 (assume @p148 (forall @t113 (or (not (= @t92 @t125)) @t46 @t58 @t112 @t127))) % 0.40/0.85 (assume @p149 (forall @t113 (or @t103 (not (tptp.segmentP @t39 @t110)) @t112 @t58 @t46 (tptp.segmentP @t1 @t110)))) % 0.40/0.85 (assume @p150 (forall @t113 (or @t104 (not (tptp.rearsegP @t39 @t110)) @t112 @t58 @t46 (tptp.rearsegP @t1 @t110)))) % 0.40/0.85 (assume @p151 (forall @t113 (or @t105 (not (tptp.frontsegP @t39 @t110)) @t112 @t58 @t46 (tptp.frontsegP @t1 @t110)))) % 0.40/0.85 (assume @p152 (forall @t113 (or @t74 @t124 @t120 @t71 @t45 @t123))) % 0.40/0.85 (assume @p153 (forall @t113 (or @t84 (not (tptp.leq @t39 @t110)) @t120 @t71 @t45 (tptp.leq @t1 @t110)))) % 0.40/0.85 (assume @p154 (forall @t113 (or @t45 @t58 @t112 (= (tptp.cons @t1 (tptp.app @t39 @t110)) (tptp.app @t59 @t110))))) % 0.40/0.85 (assume @p155 (forall @t113 (or (not (tptp.memberP @t92 @t110)) @t58 @t46 @t120 @t128 (tptp.memberP @t1 @t110)))) % 0.40/0.85 (assume @p156 (forall @t40 (or (not @t109) (not @t100) @t58 @t45 @t101 @t95))) % 0.40/0.85 (assume @p157 (forall @t40 (or (not @t108) (not @t97) @t58 @t45 @t98 @t95))) % 0.40/0.85 (assume @p158 (forall @t113 (or (not (tptp.memberP @t59 @t110)) @t58 @t45 @t120 @t128 (= @t110 @t1)))) % 0.40/0.85 (assume @p159 (forall @t3 (or @t46 @t49 (= (tptp.app (tptp.app @t11 (tptp.cons @t12 @t10)) (tptp.cons @t12 @t9)) @t1)))) % 0.40/0.85 (assume @p160 (forall @t3 (or @t46 @t62 (= (tptp.app (tptp.app @t15 (tptp.cons @t17 @t14)) (tptp.cons @t16 @t13)) @t1)))) % 0.40/0.85 (assume @p161 (forall @t3 (or @t46 @t63 (= (tptp.app (tptp.app @t20 (tptp.cons @t22 @t19)) (tptp.cons @t21 @t18)) @t1)))) % 0.40/0.85 (assume @p162 (forall @t3 (or @t46 @t64 (= (tptp.app (tptp.app @t25 (tptp.cons @t27 @t24)) (tptp.cons @t26 @t23)) @t1)))) % 0.40/0.85 (assume @p163 (forall @t3 (or @t46 @t65 (= (tptp.app (tptp.app @t30 (tptp.cons @t32 @t29)) (tptp.cons @t31 @t28)) @t1)))) % 0.40/0.85 (assume @p164 (forall @t3 (or @t46 @t60 (= (tptp.app (tptp.app @t35 (tptp.cons @t37 @t34)) (tptp.cons @t36 @t33)) @t1)))) % 0.40/0.85 (assume @p165 (forall @t40 (or @t103 @t58 @t46 (= (tptp.app (tptp.app @t41 @t39) (tptp.skaf48 @t39 @t1)) @t1)))) % 0.40/0.85 (assume @p166 (forall @t40 (or @t121 @t71 @t46 (= (tptp.app @t44 (tptp.cons @t39 (tptp.skaf43 @t39 @t1))) @t1)))) % 0.40/0.85 (assume @p167 (forall @t133 (or @t132 @t120 @t45 @t130 @t58 @t127))) % 0.40/0.85 (assume @p168 (forall @t133 (or @t132 @t120 @t45 @t130 @t58 (= @t129 @t39)))) % 0.40/0.85 (assume @p169 (forall @t133 (or @t103 @t112 @t130 @t58 @t46 (tptp.segmentP (tptp.app (tptp.app @t129 @t1) @t110) @t39)))) % 0.40/0.85 (assume @p170 (forall @t133 (or (not (= (tptp.app @t92 @t110) @t129)) @t112 @t46 @t58 @t130 (tptp.segmentP @t129 @t39)))) % 0.40/0.85 (assume @p171 (forall @t133 (or @t134 @t130 @t58 @t120 @t45 (tptp.frontsegP @t39 @t129)))) % 0.40/0.85 (assume @p172 (forall @t133 (or (not (= @t135 @t129)) @t112 @t46 @t71 @t130 (tptp.memberP @t129 @t39)))) % 0.40/0.85 (assume @p173 (forall @t133 (or @t134 @t130 @t58 @t120 @t45 @t127))) % 0.40/0.85 (assume @p174 (forall @t40 (or (not (= @t51 @t107)) (not (= @t52 @t96)) @t46 @t58 @t95 @t88 @t50))) % 0.40/0.85 (assume @p175 (forall @t133 (or @t105 (not (= @t110 @t129)) @t58 @t46 @t136 @t120 (tptp.frontsegP @t119 (tptp.cons @t129 @t39))))) % 0.40/0.85 (assume @p176 (forall @t139 (or (not (= (tptp.app @t135 (tptp.cons @t39 @t129)) @t137)) @t130 @t112 @t46 @t71 (not (tptp.duplicatefreeP @t137)) @t138))) % 0.40/0.85 (assume @p177 (forall @t139 (or (not (= (tptp.app @t1 (tptp.cons @t39 @t131)) @t137)) @t130 @t46 @t120 @t71 (not (tptp.equalelemsP @t137)) @t138 @t126))) % 0.40/0.85 (assume @p178 (forall @t144 (or @t143 @t138 @t112 @t46 @t136 @t71 (not (tptp.strictorderedP @t141)) @t142 @t140))) % 0.40/0.85 (assume @p179 (forall @t144 (or @t143 @t138 @t112 @t46 @t136 @t71 (not (tptp.totalorderedP @t141)) @t142 @t145))) % 0.40/0.85 (assume @p180 (forall @t144 (or @t143 @t138 @t112 @t46 @t136 @t71 (not (tptp.strictorderP @t141)) @t142 @t140 (tptp.lt @t129 @t39)))) % 0.40/0.85 (assume @p181 (forall @t144 (or @t143 @t138 @t112 @t46 @t136 @t71 (not (tptp.totalorderP @t141)) @t142 @t145 (tptp.leq @t129 @t39)))) % 0.40/0.85 (assume @p182 (forall @t144 (or @t84 @t106 (not (= (tptp.app (tptp.app @t110 (tptp.cons @t1 @t129)) (tptp.cons @t39 @t137)) @t141)) @t138 @t130 @t112 @t71 @t45 (not (tptp.cyclefreeP @t141)) @t142))) % 0.40/0.85 (assume @p183 @t146) % 0.40/0.85 (assume @p184 (tptp.ssList tptp.sk2)) % 0.40/0.85 (assume @p185 (tptp.ssList tptp.sk3)) % 0.40/0.85 (assume @p186 (tptp.ssList tptp.sk4)) % 0.40/0.85 (assume @p187 (= tptp.nil tptp.sk2)) % 0.40/0.85 (assume @p188 (= tptp.sk2 tptp.sk4)) % 0.40/0.85 (assume @p189 (= tptp.sk1 tptp.sk3)) % 0.40/0.85 (assume @p190 (not @t147)) % 0.40/0.85 (assume @p191 (forall @t154 (or @t153 @t152 (tptp.ssList @t151) @t150))) % 0.40/0.85 (assume @p192 (forall @t154 (or @t153 @t152 (tptp.segmentP tptp.sk4 (tptp.app (tptp.app @t155 @t151) @t155)) @t150))) % 0.40/0.85 (assume @p193 (forall @t154 (or @t153 @t156 @t149))) % 0.40/0.85 (assume @p194 (forall (@list @t148 @t157) (or @t153 @t156 (not (tptp.ssList @t157)) (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app @t155 @t157) @t155)))))) % 0.40/0.85 (step @p195 :rule instantiate :premises (@p76) :args (@t158)) % 0.40/0.85 (step @p196 :rule cnf_or_pos :args (@t162)) % 0.40/0.85 (step @p197 :rule reordering :premises (@p196) :args ((or @t147 @t161 @t160 (not @t162)))) % 0.40/0.85 (step @p198 :rule chain_m_resolution :premises (@p197 @p190 @p183 @p195) :args (@t160 @t163 (@list @t147 @t146 @t162))) % 0.40/0.85 (step @p199 :rule instantiate :premises (@p193) :args (@t164)) % 0.40/0.85 (step @p200 :rule aci_norm :args ((= (or false @t112 @t71 @t71 @t165) (or @t112 @t71 @t165)))) % 0.40/0.85 (step @p201 :rule refl :args (@t165)) % 0.40/0.85 (step @p202 :rule refl :args (@t71)) % 0.40/0.85 (step @p203 :rule refl :args (@t112)) % 0.40/0.85 (step @p204 :rule evaluate :args ((not true))) % 0.40/0.85 (step @p205 :rule eq-refl :args (@t39)) % 0.40/0.85 (step @p206 :rule cong :premises (@p205) :args (@t166)) % 0.40/0.85 (step @p207 :rule trans :premises (@p206 @p204)) % 0.40/0.85 (step @p208 :rule nary_cong :premises (@p207 @p203 @p202 @p202 @p201) :args (@t167)) % 0.40/0.85 (step @p209 :rule trans :premises (@p208 @p200)) % 0.40/0.85 (step @p210 :rule cong :premises (@p209) :args ((forall @t168 @t167))) % 0.40/0.85 (step @p211 :rule quant-var-elim-eq :args ((= (forall @t3 @t169) @t167))) % 0.40/0.85 (step @p212 :rule aci_norm :args ((= @t117 @t169))) % 0.40/0.85 (step @p213 :rule cong :premises (@p212) :args (@t170)) % 0.40/0.85 (step @p214 :rule trans :premises (@p213 @p211)) % 0.40/0.85 (step @p215 :rule cong :premises (@p214) :args (@t171)) % 0.40/0.85 (step @p216 :rule quant-merge-prenex :args ((= @t171 @t172))) % 0.40/0.85 (step @p217 :rule symm :premises (@p216)) % 0.40/0.85 (step @p218 :rule quant_var_reordering :args ((= @t118 @t172))) % 0.40/0.85 (step @p219 :rule trans :premises (@p218 @p217 @p215)) % 0.40/0.85 (step @p220 :rule trans :premises (@p219 @p210)) % 0.40/0.85 (step @p221 :rule eq_resolve :premises (@p135 @p220)) % 0.40/0.85 (step @p222 :rule instantiate :premises (@p221) :args (@t175)) % 0.40/0.85 (step @p223 :rule instantiate :premises (@p13) :args (@t158)) % 0.40/0.85 (step @p224 :rule instantiate :premises (@p12) :args (@t158)) % 0.40/0.85 (step @p225 :rule cnf_or_pos :args (@t182)) % 0.40/0.85 (step @p226 :rule reordering :premises (@p225) :args ((or @t179 @t181 @t177 (not @t182)))) % 0.40/0.85 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p223 @p222) :args (@t177 @t183 (@list @t178 @t180 @t182))) % 0.40/0.85 (step @p228 :rule true_intro :premises (@p227)) % 0.40/0.85 (step @p229 :rule eq-symm :args (@t66 @t1)) % 0.40/0.85 (step @p230 :rule refl :args (@t58)) % 0.40/0.85 (step @p231 :rule refl :args (@t45)) % 0.40/0.85 (step @p232 :rule nary_cong :premises (@p231 @p230 @p229) :args (@t67)) % 0.40/0.85 (step @p233 :rule cong :premises (@p232) :args (@t68)) % 0.40/0.85 (step @p234 :rule eq_resolve :premises (@p95 @p233)) % 0.40/0.85 (step @p235 :rule instantiate :premises (@p234) :args (@t175)) % 0.40/0.85 (step @p236 :rule cnf_or_pos :args (@t185)) % 0.40/0.85 (step @p237 :rule reordering :premises (@p236) :args ((or @t179 @t181 @t184 (not @t185)))) % 0.40/0.85 (step @p238 :rule chain_m_resolution :premises (@p237 @p224 @p223 @p235) :args (@t184 @t183 (@list @t178 @t180 @t185))) % 0.40/0.85 (step @p239 :rule symm :premises (@p238)) % 0.40/0.85 (step @p240 :rule refl :args (@t50)) % 0.40/0.85 (step @p241 :rule eq-symm :args (@t85 @t1)) % 0.40/0.85 (step @p242 :rule refl :args (@t46)) % 0.40/0.85 (step @p243 :rule nary_cong :premises (@p242 @p241 @p240) :args (@t86)) % 0.40/0.85 (step @p244 :rule cong :premises (@p243) :args (@t87)) % 0.40/0.85 (step @p245 :rule eq_resolve :premises (@p107 @p244)) % 0.40/0.85 (step @p246 :rule instantiate :premises (@p245) :args (@t158)) % 0.40/0.85 (step @p247 :rule cnf_or_pos :args (@t187)) % 0.40/0.85 (step @p248 :rule reordering :premises (@p247) :args ((or @t147 @t161 @t186 (not @t187)))) % 0.40/0.85 (step @p249 :rule chain_m_resolution :premises (@p248 @p190 @p183 @p246) :args (@t186 @t163 (@list @t147 @t146 @t187))) % 0.40/0.85 (step @p250 :rule cong :premises (@p249) :args (@t159)) % 0.40/0.85 (step @p251 :rule trans :premises (@p250 @p239)) % 0.40/0.85 (step @p252 :rule symm :premises (@p189)) % 0.40/0.85 (step @p253 :rule trans :premises (@p252 @p249)) % 0.40/0.85 (step @p254 :rule eq-symm :args (@t75 @t1)) % 0.40/0.85 (step @p255 :rule nary_cong :premises (@p242 @p254 @p240) :args (@t76)) % 0.40/0.85 (step @p256 :rule cong :premises (@p255) :args (@t77)) % 0.40/0.85 (step @p257 :rule eq_resolve :premises (@p102 @p256)) % 0.40/0.85 (step @p258 :rule instantiate :premises (@p257) :args (@t158)) % 0.40/0.85 (step @p259 :rule cnf_or_pos :args (@t190)) % 0.40/0.85 (step @p260 :rule reordering :premises (@p259) :args ((or @t147 @t161 @t189 (not @t190)))) % 0.40/0.85 (step @p261 :rule chain_m_resolution :premises (@p260 @p190 @p183 @p258) :args (@t189 @t163 (@list @t147 @t146 @t190))) % 0.40/0.85 (step @p262 :rule symm :premises (@p261)) % 0.40/0.85 (step @p263 :rule trans :premises (@p262 @p189)) % 0.40/0.85 (step @p264 :rule trans :premises (@p263 @p253)) % 0.40/0.85 (step @p265 :rule cong :premises (@p264 @p251) :args ((tptp.memberP @t188 @t159))) % 0.40/0.85 (step @p266 :rule refl :args (@t159)) % 0.40/0.85 (step @p267 :rule symm :premises (@p263)) % 0.40/0.85 (step @p268 :rule cong :premises (@p267 @p266) :args (@t191)) % 0.40/0.85 (step @p269 :rule trans :premises (@p268 @p265 @p228)) % 0.40/0.85 (step @p270 :rule true_elim :premises (@p269)) % 0.40/0.85 (step @p271 :rule instantiate :premises (@p71) :args (@t164)) % 0.40/0.85 (step @p272 :rule cnf_or_pos :args (@t194)) % 0.40/0.85 (step @p273 :rule reordering :premises (@p272) :args ((or @t192 @t193 (not @t194)))) % 0.40/0.85 (step @p274 :rule chain_m_resolution :premises (@p273 @p198 @p271) :args (@t193 (@list false false) (@list @t160 @t194))) % 0.40/0.85 (step @p275 :rule false_intro :premises (@p274)) % 0.40/0.85 (step @p276 :rule symm :premises (@p187)) % 0.40/0.85 (step @p277 :rule symm :premises (@p188)) % 0.40/0.85 (step @p278 :rule trans :premises (@p277 @p276)) % 0.40/0.85 (step @p279 :rule cong :premises (@p278 @p266) :args (@t195)) % 0.40/0.85 (step @p280 :rule trans :premises (@p279 @p275)) % 0.40/0.85 (step @p281 :rule false_elim :premises (@p280)) % 0.40/0.85 (step @p282 :rule cnf_or_pos :args (@t197)) % 0.40/0.85 (step @p283 :rule reordering :premises (@p282) :args ((or @t192 @t195 @t196 (not @t197)))) % 0.40/0.85 (step @p284 false :rule chain_m_resolution :premises (@p283 @p281 @p270 @p199 @p198) :args (false (@list true false false false) (@list @t195 @t191 @t197 @t160))) % 0.40/0.85 ) % 0.40/0.85 % SZS output end Proof % 0.40/0.85 % cvc5 exiting %------------------------------------------------------------------------------