%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC028-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:57:46 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.68s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC028-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n018.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 19:10:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.68 % SZS status Unsatisfiable % 0.39/0.68 % SZS output start Proof % 0.39/0.69 ( % 0.39/0.69 (declare-sort $$unsorted 0) % 0.39/0.69 (declare-const tptp.sk4 $$unsorted) % 0.39/0.69 (declare-const tptp.sk2 $$unsorted) % 0.39/0.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.nil $$unsorted) % 0.39/0.69 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.sk1 $$unsorted) % 0.39/0.69 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skac2 $$unsorted) % 0.39/0.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.sk3 $$unsorted) % 0.39/0.69 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skac3 $$unsorted) % 0.39/0.69 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (define @t1 () (tptp.ssList tptp.nil)) % 0.39/0.69 (define @t2 () (@var "U" $$unsorted)) % 0.39/0.69 (define @t3 () (tptp.skaf83 @t2)) % 0.39/0.69 (define @t4 () (@list @t2)) % 0.39/0.69 (define @t5 () (tptp.skaf82 @t2)) % 0.39/0.69 (define @t6 () (tptp.skaf81 @t2)) % 0.39/0.69 (define @t7 () (tptp.skaf80 @t2)) % 0.39/0.69 (define @t8 () (tptp.skaf79 @t2)) % 0.39/0.69 (define @t9 () (tptp.skaf78 @t2)) % 0.39/0.69 (define @t10 () (tptp.skaf77 @t2)) % 0.39/0.69 (define @t11 () (tptp.skaf76 @t2)) % 0.39/0.69 (define @t12 () (tptp.skaf75 @t2)) % 0.39/0.69 (define @t13 () (tptp.skaf74 @t2)) % 0.39/0.69 (define @t14 () (tptp.skaf73 @t2)) % 0.39/0.69 (define @t15 () (tptp.skaf72 @t2)) % 0.39/0.69 (define @t16 () (tptp.skaf71 @t2)) % 0.39/0.69 (define @t17 () (tptp.skaf70 @t2)) % 0.39/0.69 (define @t18 () (tptp.skaf69 @t2)) % 0.39/0.69 (define @t19 () (tptp.skaf68 @t2)) % 0.39/0.69 (define @t20 () (tptp.skaf67 @t2)) % 0.39/0.69 (define @t21 () (tptp.skaf66 @t2)) % 0.39/0.69 (define @t22 () (tptp.skaf65 @t2)) % 0.39/0.69 (define @t23 () (tptp.skaf64 @t2)) % 0.39/0.69 (define @t24 () (tptp.skaf63 @t2)) % 0.39/0.69 (define @t25 () (tptp.skaf62 @t2)) % 0.39/0.69 (define @t26 () (tptp.skaf61 @t2)) % 0.39/0.69 (define @t27 () (tptp.skaf60 @t2)) % 0.39/0.69 (define @t28 () (tptp.skaf59 @t2)) % 0.39/0.69 (define @t29 () (tptp.skaf58 @t2)) % 0.39/0.69 (define @t30 () (tptp.skaf57 @t2)) % 0.39/0.69 (define @t31 () (tptp.skaf56 @t2)) % 0.39/0.69 (define @t32 () (tptp.skaf55 @t2)) % 0.39/0.69 (define @t33 () (tptp.skaf54 @t2)) % 0.39/0.69 (define @t34 () (tptp.skaf53 @t2)) % 0.39/0.69 (define @t35 () (tptp.skaf52 @t2)) % 0.39/0.69 (define @t36 () (tptp.skaf51 @t2)) % 0.39/0.69 (define @t37 () (tptp.skaf50 @t2)) % 0.39/0.69 (define @t38 () (tptp.skaf49 @t2)) % 0.39/0.69 (define @t39 () (tptp.skaf44 @t2)) % 0.39/0.69 (define @t40 () (@var "V" $$unsorted)) % 0.39/0.69 (define @t41 () (@list @t2 @t40)) % 0.39/0.69 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.39/0.69 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.39/0.69 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.39/0.69 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.39/0.69 (define @t46 () (not (tptp.ssItem @t2))) % 0.39/0.69 (define @t47 () (not (tptp.ssList @t2))) % 0.39/0.69 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.39/0.69 (define @t49 () (tptp.ssItem @t40)) % 0.39/0.69 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.39/0.69 (define @t51 () (= tptp.nil @t2)) % 0.39/0.69 (define @t52 () (tptp.tl @t2)) % 0.39/0.69 (define @t53 () (tptp.hd @t2)) % 0.39/0.69 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 0.39/0.69 (define @t55 () (not @t51)) % 0.39/0.69 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 0.39/0.69 (define @t57 () (or @t55 @t47 @t56)) % 0.39/0.69 (define @t58 () (forall @t4 @t57)) % 0.39/0.69 (define @t59 () (tptp.frontsegP tptp.nil @t2)) % 0.39/0.69 (define @t60 () (tptp.app @t40 @t2)) % 0.39/0.69 (define @t61 () (not (tptp.ssList @t40))) % 0.39/0.69 (define @t62 () (tptp.cons @t2 @t40)) % 0.39/0.69 (define @t63 () (tptp.cyclefreeP @t2)) % 0.39/0.69 (define @t64 () (tptp.equalelemsP @t2)) % 0.39/0.69 (define @t65 () (tptp.strictorderedP @t2)) % 0.39/0.69 (define @t66 () (tptp.totalorderedP @t2)) % 0.39/0.69 (define @t67 () (tptp.strictorderP @t2)) % 0.39/0.69 (define @t68 () (tptp.totalorderP @t2)) % 0.39/0.69 (define @t69 () (= @t40 @t2)) % 0.39/0.69 (define @t70 () (tptp.neq @t40 @t2)) % 0.39/0.69 (define @t71 () (not @t49)) % 0.39/0.69 (define @t72 () (tptp.leq @t2 @t40)) % 0.39/0.69 (define @t73 () (tptp.lt @t2 @t40)) % 0.39/0.69 (define @t74 () (not @t73)) % 0.39/0.69 (define @t75 () (tptp.lt @t40 @t2)) % 0.39/0.69 (define @t76 () (not (tptp.gt @t2 @t40))) % 0.39/0.69 (define @t77 () (tptp.gt @t40 @t2)) % 0.39/0.69 (define @t78 () (tptp.leq @t40 @t2)) % 0.39/0.69 (define @t79 () (not (tptp.geq @t2 @t40))) % 0.39/0.69 (define @t80 () (tptp.geq @t40 @t2)) % 0.39/0.69 (define @t81 () (not @t72)) % 0.39/0.69 (define @t82 () (= @t2 @t40)) % 0.39/0.69 (define @t83 () (not @t82)) % 0.39/0.69 (define @t84 () (tptp.cons @t40 @t2)) % 0.39/0.69 (define @t85 () (not (tptp.neq @t2 @t40))) % 0.39/0.69 (define @t86 () (or @t83 @t85 @t61 @t47)) % 0.39/0.69 (define @t87 () (forall @t41 @t86)) % 0.39/0.69 (define @t88 () (tptp.app @t2 @t40)) % 0.39/0.69 (define @t89 () (= @t88 tptp.nil)) % 0.39/0.69 (define @t90 () (not @t89)) % 0.39/0.69 (define @t91 () (= tptp.nil @t40)) % 0.39/0.69 (define @t92 () (tptp.hd @t40)) % 0.39/0.69 (define @t93 () (tptp.strictorderedP @t40)) % 0.39/0.69 (define @t94 () (tptp.strictorderedP @t62)) % 0.39/0.69 (define @t95 () (not @t94)) % 0.39/0.69 (define @t96 () (tptp.totalorderedP @t40)) % 0.39/0.69 (define @t97 () (tptp.totalorderedP @t62)) % 0.39/0.69 (define @t98 () (not @t97)) % 0.39/0.69 (define @t99 () (not (tptp.segmentP @t2 @t40))) % 0.39/0.69 (define @t100 () (not (tptp.rearsegP @t2 @t40))) % 0.39/0.69 (define @t101 () (not (tptp.frontsegP @t2 @t40))) % 0.39/0.69 (define @t102 () (not @t78)) % 0.39/0.69 (define @t103 () (tptp.tl @t40)) % 0.39/0.69 (define @t104 () (tptp.lt @t2 @t92)) % 0.39/0.69 (define @t105 () (tptp.leq @t2 @t92)) % 0.39/0.69 (define @t106 () (@var "W" $$unsorted)) % 0.39/0.69 (define @t107 () (tptp.app @t106 @t2)) % 0.39/0.69 (define @t108 () (not (tptp.ssList @t106))) % 0.39/0.69 (define @t109 () (@list @t2 @t40 @t106)) % 0.39/0.69 (define @t110 () (tptp.app @t2 @t106)) % 0.39/0.69 (define @t111 () (tptp.cons @t40 @t106)) % 0.39/0.69 (define @t112 () (tptp.cons @t106 @t2)) % 0.39/0.69 (define @t113 () (not (tptp.ssItem @t106))) % 0.39/0.69 (define @t114 () (not (tptp.memberP @t2 @t40))) % 0.39/0.69 (define @t115 () (not (= @t88 @t106))) % 0.39/0.69 (define @t116 () (tptp.lt @t2 @t106)) % 0.39/0.69 (define @t117 () (not (tptp.lt @t40 @t106))) % 0.39/0.69 (define @t118 () (tptp.app @t106 @t40)) % 0.39/0.69 (define @t119 () (= @t40 @t106)) % 0.39/0.69 (define @t120 () (= @t2 @t106)) % 0.39/0.69 (define @t121 () (tptp.memberP @t40 @t106)) % 0.39/0.69 (define @t122 () (@var "X" $$unsorted)) % 0.39/0.69 (define @t123 () (not (tptp.ssList @t122))) % 0.39/0.69 (define @t124 () (tptp.cons @t106 @t122)) % 0.39/0.69 (define @t125 () (not (= @t62 @t124))) % 0.39/0.69 (define @t126 () (@list @t2 @t40 @t106 @t122)) % 0.39/0.69 (define @t127 () (not (tptp.frontsegP @t62 @t124))) % 0.39/0.69 (define @t128 () (tptp.app @t2 @t111)) % 0.39/0.69 (define @t129 () (not (tptp.ssItem @t122))) % 0.39/0.69 (define @t130 () (@var "Y" $$unsorted)) % 0.39/0.69 (define @t131 () (not (tptp.ssList @t130))) % 0.39/0.69 (define @t132 () (@list @t2 @t40 @t106 @t122 @t130)) % 0.39/0.69 (define @t133 () (tptp.lt @t40 @t122)) % 0.39/0.69 (define @t134 () (@var "Z" $$unsorted)) % 0.39/0.69 (define @t135 () (not (tptp.ssList @t134))) % 0.39/0.69 (define @t136 () (not (= (tptp.app @t128 (tptp.cons @t122 @t130)) @t134))) % 0.39/0.69 (define @t137 () (@list @t2 @t40 @t106 @t122 @t130 @t134)) % 0.39/0.69 (define @t138 () (tptp.leq @t40 @t122)) % 0.39/0.69 (define @t139 () (tptp.ssList tptp.sk1)) % 0.39/0.69 (define @t140 () (tptp.ssList tptp.sk3)) % 0.39/0.69 (define @t141 () (= tptp.sk2 tptp.sk4)) % 0.39/0.69 (define @t142 () (= tptp.sk1 tptp.sk3)) % 0.39/0.69 (define @t143 () (= tptp.nil tptp.sk1)) % 0.39/0.69 (define @t144 () (= tptp.nil tptp.sk2)) % 0.39/0.69 (define @t145 () (not @t144)) % 0.39/0.69 (define @t146 () (not @t143)) % 0.39/0.69 (define @t147 () (tptp.neq tptp.sk3 tptp.nil)) % 0.39/0.69 (define @t148 () (= tptp.nil tptp.sk4)) % 0.39/0.69 (define @t149 () (tptp.rearsegP tptp.sk4 tptp.sk3)) % 0.39/0.69 (define @t150 () (= tptp.nil tptp.sk3)) % 0.39/0.69 (define @t151 () (tptp.rearsegP tptp.nil tptp.nil)) % 0.39/0.69 (define @t152 () (not @t1)) % 0.39/0.69 (define @t153 () (not (= tptp.nil tptp.nil))) % 0.39/0.69 (define @t154 () (or @t153 @t152 @t151)) % 0.39/0.69 (define @t155 () (or @t55 @t55 @t47 @t56)) % 0.39/0.69 (define @t156 () (not @t151)) % 0.39/0.69 (define @t157 () (not @t150)) % 0.39/0.69 (define @t158 () (not @t148)) % 0.39/0.69 (define @t159 () (not @t142)) % 0.39/0.69 (define @t160 () (not @t149)) % 0.39/0.69 (define @t161 () (tptp.rearsegP tptp.nil tptp.sk1)) % 0.39/0.69 (define @t162 () (and @t151 @t150 @t142 @t148 @t160)) % 0.39/0.69 (define @t163 () (and @t142 @t150)) % 0.39/0.69 (define @t164 () (not (tptp.neq @t40 @t40))) % 0.39/0.69 (define @t165 () (not (= @t40 @t40))) % 0.39/0.69 (define @t166 () (or @t165 @t164 @t61 @t61)) % 0.39/0.69 (define @t167 () (@list @t40)) % 0.39/0.69 (define @t168 () (or @t83 @t83 @t85 @t61 @t47)) % 0.39/0.69 (define @t169 () (forall @t4 @t86)) % 0.39/0.69 (define @t170 () (forall @t167 @t169)) % 0.39/0.69 (define @t171 () (forall (@list @t40 @t2) @t86)) % 0.39/0.69 (define @t172 () (not @t139)) % 0.39/0.69 (define @t173 () (tptp.neq tptp.sk1 tptp.sk1)) % 0.39/0.69 (define @t174 () (not @t173)) % 0.39/0.69 (define @t175 () (or @t174 @t172)) % 0.39/0.69 (define @t176 () (not @t147)) % 0.39/0.69 (define @t177 () (and @t142 @t150 @t174)) % 0.39/0.69 (define @t178 () (not @t141)) % 0.39/0.69 (define @t179 () (and @t141 @t145)) % 0.39/0.69 (define @t180 () (not @t140)) % 0.39/0.69 (define @t181 () (tptp.rearsegP tptp.nil tptp.sk3)) % 0.39/0.69 (define @t182 () (not @t181)) % 0.39/0.69 (define @t183 () (or @t182 @t180 @t150)) % 0.39/0.69 (define @t184 () (and @t142 @t157)) % 0.39/0.69 (define @t185 () (and @t182 @t142 @t144 @t141 @t149)) % 0.39/0.69 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.39/0.69 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.39/0.69 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.39/0.69 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.39/0.69 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.39/0.69 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.39/0.69 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.39/0.69 (assume @p8 @t1) % 0.39/0.69 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.39/0.69 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.39/0.69 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.39/0.69 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.39/0.69 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.39/0.69 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.39/0.69 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.39/0.69 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.39/0.69 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.39/0.69 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.39/0.69 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.39/0.69 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.39/0.69 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.39/0.69 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.39/0.69 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.39/0.69 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.39/0.69 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.39/0.69 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.39/0.69 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.39/0.69 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.39/0.69 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.39/0.69 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.39/0.69 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.39/0.69 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.39/0.69 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.39/0.69 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.39/0.69 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.39/0.69 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.39/0.69 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.39/0.69 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.39/0.69 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.39/0.69 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.39/0.69 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.39/0.69 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.39/0.69 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.39/0.69 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.39/0.69 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.39/0.69 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.39/0.69 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.39/0.69 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.39/0.69 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.39/0.69 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.39/0.69 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.39/0.69 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.39/0.69 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.39/0.69 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.39/0.69 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.39/0.69 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.39/0.69 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.39/0.69 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.39/0.69 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.39/0.69 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.39/0.69 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.39/0.69 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.39/0.69 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.39/0.69 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.39/0.69 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.39/0.69 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.39/0.69 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.39/0.69 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.39/0.69 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.39/0.69 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.39/0.69 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.39/0.69 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.39/0.69 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.39/0.69 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.39/0.69 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 0.39/0.69 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 0.39/0.69 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 0.39/0.69 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 0.39/0.69 (assume @p79 @t58) % 0.39/0.69 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 0.39/0.69 (assume @p81 (forall @t4 (or @t55 @t47 @t59))) % 0.39/0.69 (assume @p82 (forall @t4 (or (not @t59) @t47 @t51))) % 0.39/0.69 (assume @p83 (forall @t41 (or @t47 @t61 (tptp.ssList @t60)))) % 0.39/0.69 (assume @p84 (forall @t41 (or @t46 @t61 (tptp.ssList @t62)))) % 0.39/0.69 (assume @p85 (forall @t4 (or @t47 @t63 (tptp.leq @t37 @t38)))) % 0.39/0.69 (assume @p86 (forall @t4 (or @t47 @t63 (tptp.leq @t38 @t37)))) % 0.39/0.69 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t64))) % 0.39/0.69 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t65))) % 0.39/0.69 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t66))) % 0.39/0.69 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t67))) % 0.39/0.69 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t67))) % 0.39/0.69 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t68))) % 0.39/0.69 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t68))) % 0.39/0.69 (assume @p94 (forall @t41 (or @t46 @t61 (= (tptp.tl @t62) @t40)))) % 0.39/0.69 (assume @p95 (forall @t41 (or @t46 @t61 (= (tptp.hd @t62) @t2)))) % 0.39/0.69 (assume @p96 (forall @t41 (or (not (= @t62 tptp.nil)) @t46 @t61))) % 0.39/0.69 (assume @p97 (forall @t41 (or (not (= @t62 @t40)) @t46 @t61))) % 0.39/0.69 (assume @p98 (forall @t41 (or @t47 @t61 @t70 @t69))) % 0.39/0.69 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.39/0.69 (assume @p100 (forall @t41 (or @t46 @t71 @t70 @t69))) % 0.39/0.69 (assume @p101 (forall @t41 (or @t74 @t71 @t46 @t72))) % 0.39/0.69 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 0.39/0.69 (assume @p103 (forall @t41 (or @t76 @t71 @t46 @t75))) % 0.39/0.69 (assume @p104 (forall @t41 (or @t74 @t46 @t71 @t77))) % 0.39/0.69 (assume @p105 (forall @t41 (or @t79 @t71 @t46 @t78))) % 0.39/0.69 (assume @p106 (forall @t41 (or @t81 @t46 @t71 @t80))) % 0.39/0.69 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 0.39/0.69 (assume @p108 (forall @t41 (or @t76 (not @t77) @t46 @t71))) % 0.39/0.69 (assume @p109 (forall @t41 (or @t83 @t74 @t71 @t46))) % 0.39/0.69 (assume @p110 (forall @t41 (or @t55 @t47 @t71 (tptp.strictorderedP @t84)))) % 0.39/0.69 (assume @p111 (forall @t41 (or @t55 @t47 @t71 (tptp.totalorderedP @t84)))) % 0.39/0.69 (assume @p112 (forall @t41 (or @t74 (not @t75) @t46 @t71))) % 0.39/0.69 (assume @p113 @t87) % 0.39/0.69 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t61 (tptp.singletonP @t40)))) % 0.39/0.69 (assume @p115 (forall @t41 (or @t83 @t85 @t71 @t46))) % 0.39/0.69 (assume @p116 (forall @t41 (or @t90 @t61 @t47 @t51))) % 0.39/0.69 (assume @p117 (forall @t41 (or @t90 @t61 @t47 @t91))) % 0.39/0.69 (assume @p118 (forall @t41 (or @t46 @t61 (= (tptp.app @t48 @t40) @t62)))) % 0.39/0.69 (assume @p119 (forall @t41 (or @t81 @t71 @t46 @t73 @t82))) % 0.39/0.69 (assume @p120 (forall @t41 (or @t47 @t61 @t91 (= (tptp.hd @t60) @t92)))) % 0.39/0.69 (assume @p121 (forall @t41 (or @t95 @t61 @t46 @t93 @t91))) % 0.39/0.69 (assume @p122 (forall @t41 (or @t98 @t61 @t46 @t96 @t91))) % 0.39/0.69 (assume @p123 (forall @t41 (or @t79 (not @t80) @t46 @t71 @t69))) % 0.39/0.69 (assume @p124 (forall @t41 (or @t99 (not (tptp.segmentP @t40 @t2)) @t47 @t61 @t69))) % 0.39/0.69 (assume @p125 (forall @t41 (or @t100 (not (tptp.rearsegP @t40 @t2)) @t47 @t61 @t69))) % 0.39/0.69 (assume @p126 (forall @t41 (or @t101 (not (tptp.frontsegP @t40 @t2)) @t47 @t61 @t69))) % 0.39/0.69 (assume @p127 (forall @t41 (or @t81 @t102 @t46 @t71 @t69))) % 0.39/0.69 (assume @p128 (forall @t41 (or @t100 @t61 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.39/0.69 (assume @p129 (forall @t41 (or @t101 @t61 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.39/0.69 (assume @p130 (forall @t41 (or @t47 @t61 @t91 (= (tptp.tl @t60) (tptp.app @t103 @t2))))) % 0.39/0.69 (assume @p131 (forall @t41 (or @t95 @t61 @t46 @t104 @t91))) % 0.39/0.69 (assume @p132 (forall @t41 (or @t98 @t61 @t46 @t105 @t91))) % 0.39/0.69 (assume @p133 (forall @t109 (or @t100 @t108 @t61 @t47 (tptp.rearsegP @t107 @t40)))) % 0.39/0.69 (assume @p134 (forall @t109 (or @t101 @t108 @t61 @t47 (tptp.frontsegP @t110 @t40)))) % 0.39/0.69 (assume @p135 (forall @t109 (or @t83 @t108 @t71 @t46 (tptp.memberP @t111 @t2)))) % 0.39/0.69 (assume @p136 (forall @t109 (or @t114 @t47 @t113 @t71 (tptp.memberP @t112 @t40)))) % 0.39/0.69 (assume @p137 (forall @t109 (or @t114 @t108 @t47 @t71 (tptp.memberP @t110 @t40)))) % 0.39/0.69 (assume @p138 (forall @t109 (or @t114 @t47 @t108 @t71 (tptp.memberP @t107 @t40)))) % 0.39/0.69 (assume @p139 (forall @t4 (or @t47 @t64 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.39/0.69 (assume @p140 (forall @t109 (or @t115 @t47 @t61 @t108 (tptp.rearsegP @t106 @t40)))) % 0.39/0.69 (assume @p141 (forall @t109 (or @t115 @t61 @t47 @t108 (tptp.frontsegP @t106 @t2)))) % 0.39/0.69 (assume @p142 (forall @t41 (or @t55 (not @t91) @t61 @t47 @t89))) % 0.39/0.69 (assume @p143 (forall @t109 (or @t76 (not (tptp.gt @t40 @t106)) @t113 @t71 @t46 (tptp.gt @t2 @t106)))) % 0.39/0.69 (assume @p144 (forall @t109 (or @t81 @t117 @t113 @t71 @t46 @t116))) % 0.39/0.69 (assume @p145 (forall @t109 (or @t79 (not (tptp.geq @t40 @t106)) @t113 @t71 @t46 (tptp.geq @t2 @t106)))) % 0.39/0.69 (assume @p146 (forall @t109 (or @t47 @t61 @t108 (= (tptp.app @t118 @t2) (tptp.app @t106 @t60))))) % 0.39/0.69 (assume @p147 (forall @t109 (or (not (= @t88 @t110)) @t61 @t47 @t108 @t119))) % 0.39/0.69 (assume @p148 (forall @t109 (or (not (= @t88 @t118)) @t47 @t61 @t108 @t120))) % 0.39/0.69 (assume @p149 (forall @t109 (or @t99 (not (tptp.segmentP @t40 @t106)) @t108 @t61 @t47 (tptp.segmentP @t2 @t106)))) % 0.39/0.69 (assume @p150 (forall @t109 (or @t100 (not (tptp.rearsegP @t40 @t106)) @t108 @t61 @t47 (tptp.rearsegP @t2 @t106)))) % 0.39/0.69 (assume @p151 (forall @t109 (or @t101 (not (tptp.frontsegP @t40 @t106)) @t108 @t61 @t47 (tptp.frontsegP @t2 @t106)))) % 0.39/0.69 (assume @p152 (forall @t109 (or @t74 @t117 @t113 @t71 @t46 @t116))) % 0.39/0.69 (assume @p153 (forall @t109 (or @t81 (not (tptp.leq @t40 @t106)) @t113 @t71 @t46 (tptp.leq @t2 @t106)))) % 0.39/0.69 (assume @p154 (forall @t109 (or @t46 @t61 @t108 (= (tptp.cons @t2 (tptp.app @t40 @t106)) (tptp.app @t62 @t106))))) % 0.39/0.69 (assume @p155 (forall @t109 (or (not (tptp.memberP @t88 @t106)) @t61 @t47 @t113 @t121 (tptp.memberP @t2 @t106)))) % 0.39/0.69 (assume @p156 (forall @t41 (or (not @t105) (not @t96) @t61 @t46 @t97 @t91))) % 0.39/0.69 (assume @p157 (forall @t41 (or (not @t104) (not @t93) @t61 @t46 @t94 @t91))) % 0.39/0.69 (assume @p158 (forall @t109 (or (not (tptp.memberP @t62 @t106)) @t61 @t46 @t113 @t121 (= @t106 @t2)))) % 0.39/0.69 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.39/0.69 (assume @p160 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.39/0.69 (assume @p161 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.39/0.69 (assume @p162 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.39/0.69 (assume @p163 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.39/0.69 (assume @p164 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.39/0.69 (assume @p165 (forall @t41 (or @t99 @t61 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.39/0.69 (assume @p166 (forall @t41 (or @t114 @t71 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.39/0.69 (assume @p167 (forall @t126 (or @t125 @t113 @t46 @t123 @t61 @t120))) % 0.39/0.69 (assume @p168 (forall @t126 (or @t125 @t113 @t46 @t123 @t61 (= @t122 @t40)))) % 0.39/0.69 (assume @p169 (forall @t126 (or @t99 @t108 @t123 @t61 @t47 (tptp.segmentP (tptp.app (tptp.app @t122 @t2) @t106) @t40)))) % 0.39/0.69 (assume @p170 (forall @t126 (or (not (= (tptp.app @t88 @t106) @t122)) @t108 @t47 @t61 @t123 (tptp.segmentP @t122 @t40)))) % 0.39/0.69 (assume @p171 (forall @t126 (or @t127 @t123 @t61 @t113 @t46 (tptp.frontsegP @t40 @t122)))) % 0.39/0.69 (assume @p172 (forall @t126 (or (not (= @t128 @t122)) @t108 @t47 @t71 @t123 (tptp.memberP @t122 @t40)))) % 0.39/0.69 (assume @p173 (forall @t126 (or @t127 @t123 @t61 @t113 @t46 @t120))) % 0.39/0.69 (assume @p174 (forall @t41 (or (not (= @t52 @t103)) (not (= @t53 @t92)) @t47 @t61 @t91 @t82 @t51))) % 0.39/0.69 (assume @p175 (forall @t126 (or @t101 (not (= @t106 @t122)) @t61 @t47 @t129 @t113 (tptp.frontsegP @t112 (tptp.cons @t122 @t40))))) % 0.39/0.69 (assume @p176 (forall @t132 (or (not (= (tptp.app @t128 (tptp.cons @t40 @t122)) @t130)) @t123 @t108 @t47 @t71 (not (tptp.duplicatefreeP @t130)) @t131))) % 0.39/0.69 (assume @p177 (forall @t132 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t124)) @t130)) @t123 @t47 @t113 @t71 (not (tptp.equalelemsP @t130)) @t131 @t119))) % 0.39/0.69 (assume @p178 (forall @t137 (or @t136 @t131 @t108 @t47 @t129 @t71 (not (tptp.strictorderedP @t134)) @t135 @t133))) % 0.39/0.69 (assume @p179 (forall @t137 (or @t136 @t131 @t108 @t47 @t129 @t71 (not (tptp.totalorderedP @t134)) @t135 @t138))) % 0.39/0.69 (assume @p180 (forall @t137 (or @t136 @t131 @t108 @t47 @t129 @t71 (not (tptp.strictorderP @t134)) @t135 @t133 (tptp.lt @t122 @t40)))) % 0.39/0.69 (assume @p181 (forall @t137 (or @t136 @t131 @t108 @t47 @t129 @t71 (not (tptp.totalorderP @t134)) @t135 @t138 (tptp.leq @t122 @t40)))) % 0.39/0.69 (assume @p182 (forall @t137 (or @t81 @t102 (not (= (tptp.app (tptp.app @t106 (tptp.cons @t2 @t122)) (tptp.cons @t40 @t130)) @t134)) @t131 @t123 @t108 @t71 @t46 (not (tptp.cyclefreeP @t134)) @t135))) % 0.39/0.69 (assume @p183 @t139) % 0.39/0.69 (assume @p184 (tptp.ssList tptp.sk2)) % 0.39/0.69 (assume @p185 @t140) % 0.39/0.69 (assume @p186 (tptp.ssList tptp.sk4)) % 0.39/0.69 (assume @p187 @t141) % 0.39/0.69 (assume @p188 @t142) % 0.39/0.69 (assume @p189 (or @t144 @t143)) % 0.39/0.69 (assume @p190 (or @t144 @t145)) % 0.39/0.69 (assume @p191 (or @t146 @t143)) % 0.39/0.69 (assume @p192 (or @t146 @t145)) % 0.39/0.69 (assume @p193 (or @t148 @t147)) % 0.39/0.69 (assume @p194 (or @t148 @t149)) % 0.39/0.69 (assume @p195 (or @t150 @t147)) % 0.39/0.69 (assume @p196 (or @t150 @t149)) % 0.39/0.69 (step @p197 :rule reordering :premises (@p196) :args ((or @t149 @t150))) % 0.39/0.69 (step @p198 :rule aci_norm :args ((= (or false @t152 @t151) (or @t152 @t151)))) % 0.39/0.69 (step @p199 :rule refl :args (@t151)) % 0.39/0.69 (step @p200 :rule refl :args (@t152)) % 0.39/0.69 (step @p201 :rule evaluate :args ((not true))) % 0.39/0.69 (step @p202 :rule eq-refl :args (tptp.nil)) % 0.39/0.69 (step @p203 :rule cong :premises (@p202) :args (@t153)) % 0.39/0.69 (step @p204 :rule trans :premises (@p203 @p201)) % 0.39/0.69 (step @p205 :rule nary_cong :premises (@p204 @p200 @p199) :args (@t154)) % 0.39/0.69 (step @p206 :rule trans :premises (@p205 @p198)) % 0.39/0.69 (step @p207 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t55 @t47 @t56)) @t154))) % 0.39/0.69 (step @p208 :rule refl :args (@t56)) % 0.39/0.69 (step @p209 :rule refl :args (@t47)) % 0.39/0.69 (step @p210 :rule refl :args (@t55)) % 0.39/0.69 (step @p211 :rule eq-symm :args (tptp.nil @t2)) % 0.39/0.69 (step @p212 :rule cong :premises (@p211) :args (@t55)) % 0.39/0.69 (step @p213 :rule nary_cong :premises (@p212 @p210 @p209 @p208) :args (@t155)) % 0.39/0.69 (step @p214 :rule aci_norm :args ((= @t57 @t155))) % 0.39/0.69 (step @p215 :rule trans :premises (@p214 @p213)) % 0.39/0.69 (step @p216 :rule cong :premises (@p215) :args (@t58)) % 0.39/0.69 (step @p217 :rule trans :premises (@p216 @p207)) % 0.39/0.69 (step @p218 :rule trans :premises (@p217 @p206)) % 0.39/0.69 (step @p219 :rule eq_resolve :premises (@p79 @p218)) % 0.39/0.69 (step @p220 :rule chain_m_resolution :premises (@p219 @p8) :args (@t151 (@list false) (@list @t1))) % 0.39/0.69 (step @p221 :rule bool-double-not-elim :args (@t149)) % 0.39/0.69 (step @p222 :rule refl :args (@t156)) % 0.39/0.69 (step @p223 :rule refl :args (@t157)) % 0.39/0.69 (step @p224 :rule refl :args (@t158)) % 0.39/0.69 (step @p225 :rule refl :args (@t159)) % 0.39/0.69 (step @p226 :rule nary_cong :premises (@p225 @p224 @p223 @p222 @p221) :args ((or @t159 @t158 @t157 @t156 (not @t160)))) % 0.39/0.69 (assume-push @p439 @t151) % 0.39/0.69 (assume-push @p440 @t150) % 0.39/0.69 (assume-push @p441 @t142) % 0.39/0.69 (assume-push @p442 @t148) % 0.39/0.69 (assume-push @p443 @t160) % 0.39/0.69 (step @p232 :rule evaluate :args ((= false true))) % 0.39/0.69 (step @p233 :rule true_intro :premises (@p220)) % 0.39/0.69 (step @p234 :rule symm :premises (@p440)) % 0.39/0.69 (step @p235 :rule trans :premises (@p188 @p234)) % 0.39/0.69 (step @p236 :rule refl :args (tptp.nil)) % 0.39/0.69 (step @p237 :rule cong :premises (@p236 @p235) :args (@t161)) % 0.39/0.69 (step @p238 :rule symm :premises (@p188)) % 0.39/0.69 (step @p239 :rule symm :premises (@p442)) % 0.39/0.69 (step @p240 :rule cong :premises (@p239 @p238) :args (@t149)) % 0.39/0.69 (step @p241 :rule false_intro :premises (@p443)) % 0.39/0.69 (step @p242 :rule symm :premises (@p241)) % 0.39/0.69 (step @p243 :rule trans :premises (@p242 @p240 @p237 @p233)) % 0.39/0.69 (step @p244 false :rule eq_resolve :premises (@p243 @p232)) % 0.39/0.69 (step-pop @p444 :rule scope :premises (@p244)) % 0.39/0.69 (step-pop @p445 :rule scope :premises (@p444)) % 0.39/0.69 (step-pop @p446 :rule scope :premises (@p445)) % 0.39/0.69 (step-pop @p447 :rule scope :premises (@p446)) % 0.39/0.69 (step-pop @p448 :rule scope :premises (@p447)) % 0.39/0.69 (step @p245 :rule process_scope :premises (@p448) :args (false)) % 0.39/0.69 (assume-push @p449 @t142) % 0.39/0.69 (assume-push @p450 @t148) % 0.39/0.69 (assume-push @p451 @t150) % 0.39/0.69 (assume-push @p452 @t151) % 0.39/0.69 (assume-push @p453 @t160) % 0.39/0.69 (step @p256 :rule and_intro :premises (@p220 @p451 @p188 @p450 @p453)) % 0.39/0.69 (step-pop @p454 :rule scope :premises (@p256)) % 0.39/0.69 (step-pop @p455 :rule scope :premises (@p454)) % 0.39/0.69 (step-pop @p456 :rule scope :premises (@p455)) % 0.39/0.69 (step-pop @p457 :rule scope :premises (@p456)) % 0.39/0.69 (step-pop @p458 :rule scope :premises (@p457)) % 0.39/0.69 (step @p257 :rule process_scope :premises (@p458) :args (@t162)) % 0.39/0.69 (step @p263 :rule implies_elim :premises (@p257)) % 0.39/0.69 (step @p264 :rule resolution :premises (@p263 @p245) :args (true @t162)) % 0.39/0.69 (step @p265 :rule not_and :premises (@p264)) % 0.39/0.69 (step @p266 :rule eq_resolve :premises (@p265 @p226)) % 0.39/0.69 (step @p267 :rule reordering :premises (@p266) :args ((or @t149 @t156 @t159 @t158 @t157))) % 0.39/0.69 (step @p268 :rule chain_m_resolution :premises (@p267 @p188 @p220 @p197 @p194) :args (@t149 (@list false false false false) (@list @t142 @t151 @t150 @t148))) % 0.39/0.69 (step @p269 :rule instantiate :premises (@p80) :args ((@list tptp.sk3))) % 0.39/0.69 (assume-push @p459 @t142) % 0.39/0.69 (assume-push @p460 @t150) % 0.39/0.69 (assume-push @p461 @t142) % 0.39/0.69 (assume-push @p462 @t150) % 0.39/0.69 (step @p238 :rule symm :premises (@p188)) % 0.39/0.69 (step @p274 :rule trans :premises (@p460 @p238)) % 0.39/0.69 (step-pop @p463 :rule scope :premises (@p274)) % 0.39/0.69 (step-pop @p464 :rule scope :premises (@p463)) % 0.39/0.69 (step @p275 :rule process_scope :premises (@p464) :args (@t143)) % 0.39/0.69 (step @p278 :rule and_intro :premises (@p188 @p460)) % 0.39/0.69 (step @p279 :rule modus_ponens :premises (@p278 @p275)) % 0.39/0.69 (step-pop @p465 :rule scope :premises (@p279)) % 0.39/0.69 (step-pop @p466 :rule scope :premises (@p465)) % 0.39/0.69 (step @p280 :rule process_scope :premises (@p466) :args (@t143)) % 0.39/0.69 (step @p283 :rule implies_elim :premises (@p280)) % 0.39/0.69 (step @p284 :rule cnf_and_neg :args (@t163)) % 0.39/0.69 (step @p285 :rule resolution :premises (@p284 @p283) :args (true @t163)) % 0.39/0.69 (step @p286 :rule reordering :premises (@p285) :args ((or @t143 @t159 @t157))) % 0.39/0.69 (step @p287 :rule aci_norm :args ((= (or false @t164 @t61 @t61) (or @t164 @t61)))) % 0.39/0.69 (step @p288 :rule refl :args (@t61)) % 0.39/0.69 (step @p289 :rule refl :args (@t164)) % 0.39/0.69 (step @p290 :rule eq-refl :args (@t40)) % 0.39/0.69 (step @p291 :rule cong :premises (@p290) :args (@t165)) % 0.39/0.69 (step @p292 :rule trans :premises (@p291 @p201)) % 0.39/0.69 (step @p293 :rule nary_cong :premises (@p292 @p289 @p288 @p288) :args (@t166)) % 0.39/0.69 (step @p294 :rule trans :premises (@p293 @p287)) % 0.39/0.69 (step @p295 :rule cong :premises (@p294) :args ((forall @t167 @t166))) % 0.39/0.69 (step @p296 :rule quant-var-elim-eq :args ((= (forall @t4 @t168) @t166))) % 0.39/0.69 (step @p297 :rule aci_norm :args ((= @t86 @t168))) % 0.39/0.69 (step @p298 :rule cong :premises (@p297) :args (@t169)) % 0.39/0.69 (step @p299 :rule trans :premises (@p298 @p296)) % 0.39/0.69 (step @p300 :rule cong :premises (@p299) :args (@t170)) % 0.39/0.69 (step @p301 :rule quant-merge-prenex :args ((= @t170 @t171))) % 0.39/0.69 (step @p302 :rule symm :premises (@p301)) % 0.39/0.69 (step @p303 :rule quant_var_reordering :args ((= @t87 @t171))) % 0.39/0.69 (step @p304 :rule trans :premises (@p303 @p302 @p300)) % 0.39/0.69 (step @p305 :rule trans :premises (@p304 @p295)) % 0.39/0.69 (step @p306 :rule eq_resolve :premises (@p113 @p305)) % 0.39/0.69 (step @p307 :rule instantiate :premises (@p306) :args ((@list tptp.sk1))) % 0.39/0.69 (step @p308 :rule cnf_or_pos :args (@t175)) % 0.39/0.69 (step @p309 :rule reordering :premises (@p308) :args ((or @t172 @t174 (not @t175)))) % 0.39/0.69 (step @p310 :rule chain_m_resolution :premises (@p309 @p183 @p307) :args (@t174 (@list false false) (@list @t139 @t175))) % 0.39/0.69 (step @p311 :rule refl :args (@t176)) % 0.39/0.69 (step @p312 :rule bool-double-not-elim :args (@t173)) % 0.39/0.69 (step @p313 :rule nary_cong :premises (@p225 @p223 @p312 @p311) :args ((or @t159 @t157 (not @t174) @t176))) % 0.39/0.69 (assume-push @p467 @t142) % 0.39/0.69 (assume-push @p468 @t150) % 0.39/0.69 (assume-push @p469 @t174) % 0.39/0.69 (assume-push @p470 @t174) % 0.39/0.69 (assume-push @p471 @t142) % 0.39/0.69 (assume-push @p472 @t150) % 0.39/0.69 (step @p320 :rule false_intro :premises (@p310)) % 0.39/0.69 (step @p238 :rule symm :premises (@p188)) % 0.39/0.69 (step @p321 :rule trans :premises (@p468 @p238)) % 0.39/0.69 (step @p322 :rule cong :premises (@p238 @p321) :args (@t147)) % 0.39/0.69 (step @p323 :rule trans :premises (@p322 @p320)) % 0.39/0.69 (step @p324 :rule false_elim :premises (@p323)) % 0.39/0.69 (step-pop @p473 :rule scope :premises (@p324)) % 0.39/0.69 (step-pop @p474 :rule scope :premises (@p473)) % 0.39/0.69 (step-pop @p475 :rule scope :premises (@p474)) % 0.39/0.69 (step @p325 :rule process_scope :premises (@p475) :args (@t176)) % 0.39/0.69 (step @p329 :rule and_intro :premises (@p310 @p188 @p468)) % 0.39/0.69 (step @p330 :rule modus_ponens :premises (@p329 @p325)) % 0.39/0.69 (step-pop @p476 :rule scope :premises (@p330)) % 0.39/0.69 (step-pop @p477 :rule scope :premises (@p476)) % 0.39/0.69 (step-pop @p478 :rule scope :premises (@p477)) % 0.39/0.69 (step @p331 :rule process_scope :premises (@p478) :args (@t176)) % 0.39/0.69 (step @p335 :rule implies_elim :premises (@p331)) % 0.39/0.69 (step @p336 :rule cnf_and_neg :args (@t177)) % 0.39/0.69 (step @p337 :rule resolution :premises (@p336 @p335) :args (true @t177)) % 0.39/0.69 (step @p338 :rule eq_resolve :premises (@p337 @p313)) % 0.39/0.69 (step @p339 :rule reordering :premises (@p338) :args ((or @t159 @t176 @t157 @t173))) % 0.39/0.69 (step @p340 :rule reordering :premises (@p192) :args ((or @t145 @t146))) % 0.39/0.69 (step @p341 :rule bool-double-not-elim :args (@t144)) % 0.39/0.69 (step @p342 :rule refl :args (@t178)) % 0.39/0.69 (step @p343 :rule nary_cong :premises (@p342 @p341 @p224) :args ((or @t178 (not @t145) @t158))) % 0.39/0.69 (assume-push @p479 @t141) % 0.39/0.69 (assume-push @p480 @t145) % 0.39/0.69 (assume-push @p481 @t145) % 0.39/0.69 (assume-push @p482 @t141) % 0.39/0.69 (step @p348 :rule false_intro :premises (@p480)) % 0.39/0.69 (step @p349 :rule symm :premises (@p187)) % 0.39/0.69 (step @p236 :rule refl :args (tptp.nil)) % 0.39/0.69 (step @p350 :rule cong :premises (@p236 @p349) :args (@t148)) % 0.39/0.69 (step @p351 :rule trans :premises (@p350 @p348)) % 0.39/0.69 (step @p352 :rule false_elim :premises (@p351)) % 0.39/0.69 (step-pop @p483 :rule scope :premises (@p352)) % 0.39/0.69 (step-pop @p484 :rule scope :premises (@p483)) % 0.39/0.69 (step @p353 :rule process_scope :premises (@p484) :args (@t158)) % 0.39/0.69 (step @p356 :rule and_intro :premises (@p480 @p187)) % 0.39/0.69 (step @p357 :rule modus_ponens :premises (@p356 @p353)) % 0.39/0.69 (step-pop @p485 :rule scope :premises (@p357)) % 0.39/0.69 (step-pop @p486 :rule scope :premises (@p485)) % 0.39/0.69 (step @p358 :rule process_scope :premises (@p486) :args (@t158)) % 0.39/0.69 (step @p361 :rule implies_elim :premises (@p358)) % 0.39/0.69 (step @p362 :rule cnf_and_neg :args (@t179)) % 0.39/0.69 (step @p363 :rule resolution :premises (@p362 @p361) :args (true @t179)) % 0.39/0.69 (step @p364 :rule eq_resolve :premises (@p363 @p343)) % 0.39/0.69 (step @p365 :rule reordering :premises (@p364) :args ((or @t144 @t178 @t158))) % 0.39/0.69 (step @p366 :rule chain_m_resolution :premises (@p365 @p187 @p193 @p340 @p339 @p310 @p188 @p286 @p188) :args (@t157 (@list false false true true true false false false) (@list @t141 @t148 @t144 @t147 @t173 @t142 @t143 @t142))) % 0.39/0.69 (step @p367 :rule cnf_or_pos :args (@t183)) % 0.39/0.69 (step @p368 :rule reordering :premises (@p367) :args ((or @t150 @t180 @t182 (not @t183)))) % 0.39/0.69 (step @p369 :rule chain_m_resolution :premises (@p368 @p366 @p185 @p269) :args (@t182 (@list true false false) (@list @t150 @t140 @t183))) % 0.39/0.69 (step @p370 :rule refl :args (@t146)) % 0.39/0.69 (step @p371 :rule bool-double-not-elim :args (@t150)) % 0.39/0.69 (step @p372 :rule nary_cong :premises (@p225 @p371 @p370) :args ((or @t159 (not @t157) @t146))) % 0.39/0.69 (assume-push @p487 @t142) % 0.39/0.69 (assume-push @p488 @t157) % 0.39/0.69 (assume-push @p489 @t157) % 0.39/0.69 (assume-push @p490 @t142) % 0.39/0.69 (step @p377 :rule false_intro :premises (@p488)) % 0.39/0.69 (step @p236 :rule refl :args (tptp.nil)) % 0.39/0.69 (step @p378 :rule cong :premises (@p236 @p188) :args (@t143)) % 0.39/0.69 (step @p379 :rule trans :premises (@p378 @p377)) % 0.39/0.69 (step @p380 :rule false_elim :premises (@p379)) % 0.39/0.69 (step-pop @p491 :rule scope :premises (@p380)) % 0.39/0.69 (step-pop @p492 :rule scope :premises (@p491)) % 0.39/0.69 (step @p381 :rule process_scope :premises (@p492) :args (@t146)) % 0.39/0.69 (step @p384 :rule and_intro :premises (@p488 @p188)) % 0.39/0.69 (step @p385 :rule modus_ponens :premises (@p384 @p381)) % 0.39/0.69 (step-pop @p493 :rule scope :premises (@p385)) % 0.39/0.69 (step-pop @p494 :rule scope :premises (@p493)) % 0.39/0.69 (step @p386 :rule process_scope :premises (@p494) :args (@t146)) % 0.39/0.69 (step @p389 :rule implies_elim :premises (@p386)) % 0.39/0.69 (step @p390 :rule cnf_and_neg :args (@t184)) % 0.39/0.69 (step @p391 :rule resolution :premises (@p390 @p389) :args (true @t184)) % 0.39/0.69 (step @p392 :rule eq_resolve :premises (@p391 @p372)) % 0.39/0.69 (step @p393 :rule reordering :premises (@p392) :args ((or @t146 @t150 @t159))) % 0.39/0.69 (step @p394 :rule chain_m_resolution :premises (@p393 @p366 @p188) :args (@t146 (@list true false) (@list @t150 @t142))) % 0.39/0.69 (step @p395 :rule chain_m_resolution :premises (@p189 @p394) :args (@t144 (@list true) (@list @t143))) % 0.39/0.69 (step @p396 :rule bool-double-not-elim :args (@t181)) % 0.39/0.69 (step @p397 :rule refl :args (@t160)) % 0.39/0.69 (step @p398 :rule refl :args (@t145)) % 0.39/0.69 (step @p399 :rule nary_cong :premises (@p342 @p225 @p398 @p397 @p396) :args ((or @t178 @t159 @t145 @t160 (not @t182)))) % 0.39/0.69 (assume-push @p495 @t182) % 0.39/0.69 (assume-push @p496 @t142) % 0.39/0.69 (assume-push @p497 @t144) % 0.39/0.69 (assume-push @p498 @t141) % 0.39/0.69 (assume-push @p499 @t149) % 0.39/0.69 (step @p405 :rule evaluate :args ((= true false))) % 0.39/0.69 (step @p406 :rule false_intro :premises (@p495)) % 0.39/0.69 (step @p236 :rule refl :args (tptp.nil)) % 0.39/0.69 (step @p407 :rule cong :premises (@p236 @p188) :args (@t161)) % 0.39/0.69 (step @p238 :rule symm :premises (@p188)) % 0.39/0.69 (step @p408 :rule symm :premises (@p497)) % 0.39/0.69 (step @p349 :rule symm :premises (@p187)) % 0.39/0.69 (step @p409 :rule trans :premises (@p349 @p408)) % 0.39/0.69 (step @p410 :rule cong :premises (@p409 @p238) :args (@t149)) % 0.39/0.69 (step @p411 :rule true_intro :premises (@p499)) % 0.39/0.69 (step @p412 :rule symm :premises (@p411)) % 0.39/0.69 (step @p413 :rule trans :premises (@p412 @p410 @p407 @p406)) % 0.39/0.69 (step @p414 false :rule eq_resolve :premises (@p413 @p405)) % 0.39/0.69 (step-pop @p500 :rule scope :premises (@p414)) % 0.39/0.69 (step-pop @p501 :rule scope :premises (@p500)) % 0.39/0.69 (step-pop @p502 :rule scope :premises (@p501)) % 0.39/0.69 (step-pop @p503 :rule scope :premises (@p502)) % 0.39/0.69 (step-pop @p504 :rule scope :premises (@p503)) % 0.39/0.69 (step @p415 :rule process_scope :premises (@p504) :args (false)) % 0.39/0.69 (assume-push @p505 @t141) % 0.39/0.69 (assume-push @p506 @t142) % 0.39/0.69 (assume-push @p507 @t144) % 0.39/0.69 (assume-push @p508 @t149) % 0.39/0.69 (assume-push @p509 @t182) % 0.39/0.69 (step @p426 :rule and_intro :premises (@p509 @p188 @p507 @p187 @p508)) % 0.39/0.69 (step-pop @p510 :rule scope :premises (@p426)) % 0.39/0.69 (step-pop @p511 :rule scope :premises (@p510)) % 0.39/0.69 (step-pop @p512 :rule scope :premises (@p511)) % 0.39/0.69 (step-pop @p513 :rule scope :premises (@p512)) % 0.39/0.69 (step-pop @p514 :rule scope :premises (@p513)) % 0.39/0.69 (step @p427 :rule process_scope :premises (@p514) :args (@t185)) % 0.39/0.69 (step @p433 :rule implies_elim :premises (@p427)) % 0.39/0.69 (step @p434 :rule resolution :premises (@p433 @p415) :args (true @t185)) % 0.39/0.69 (step @p435 :rule not_and :premises (@p434)) % 0.39/0.69 (step @p436 :rule eq_resolve :premises (@p435 @p399)) % 0.39/0.69 (step @p437 :rule reordering :premises (@p436) :args ((or @t145 @t178 @t159 @t160 @t181))) % 0.39/0.69 (step @p438 false :rule chain_m_resolution :premises (@p437 @p395 @p369 @p268 @p188 @p187) :args (false (@list false true false false false) (@list @t144 @t181 @t149 @t142 @t141))) % 0.39/0.69 ) % 0.39/0.69 % SZS output end Proof % 0.39/0.69 % cvc5 exiting %------------------------------------------------------------------------------