%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC085-1 : 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 : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:59 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.90s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC085-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:14:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.90 % SZS status Unsatisfiable % 0.38/0.90 % SZS output start Proof % 0.38/0.91 ( % 0.38/0.91 (declare-sort $$unsorted 0) % 0.38/0.91 (declare-const tptp.sk4 $$unsorted) % 0.38/0.91 (declare-const tptp.sk2 $$unsorted) % 0.38/0.91 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.nil $$unsorted) % 0.38/0.91 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.sk1 $$unsorted) % 0.38/0.91 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skac2 $$unsorted) % 0.38/0.91 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.sk3 $$unsorted) % 0.38/0.91 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skac3 $$unsorted) % 0.38/0.91 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.91 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/0.91 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.91 (define @t1 () (tptp.ssList tptp.nil)) % 0.38/0.91 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.91 (define @t3 () (tptp.skaf83 @t2)) % 0.38/0.91 (define @t4 () (@list @t2)) % 0.38/0.91 (define @t5 () (tptp.skaf82 @t2)) % 0.38/0.91 (define @t6 () (tptp.skaf81 @t2)) % 0.38/0.91 (define @t7 () (tptp.skaf80 @t2)) % 0.38/0.91 (define @t8 () (tptp.skaf79 @t2)) % 0.38/0.91 (define @t9 () (tptp.skaf78 @t2)) % 0.38/0.91 (define @t10 () (tptp.skaf77 @t2)) % 0.38/0.91 (define @t11 () (tptp.skaf76 @t2)) % 0.38/0.91 (define @t12 () (tptp.skaf75 @t2)) % 0.38/0.91 (define @t13 () (tptp.skaf74 @t2)) % 0.38/0.91 (define @t14 () (tptp.skaf73 @t2)) % 0.38/0.91 (define @t15 () (tptp.skaf72 @t2)) % 0.38/0.91 (define @t16 () (tptp.skaf71 @t2)) % 0.38/0.91 (define @t17 () (tptp.skaf70 @t2)) % 0.38/0.91 (define @t18 () (tptp.skaf69 @t2)) % 0.38/0.91 (define @t19 () (tptp.skaf68 @t2)) % 0.38/0.91 (define @t20 () (tptp.skaf67 @t2)) % 0.38/0.91 (define @t21 () (tptp.skaf66 @t2)) % 0.38/0.91 (define @t22 () (tptp.skaf65 @t2)) % 0.38/0.91 (define @t23 () (tptp.skaf64 @t2)) % 0.38/0.91 (define @t24 () (tptp.skaf63 @t2)) % 0.38/0.91 (define @t25 () (tptp.skaf62 @t2)) % 0.38/0.91 (define @t26 () (tptp.skaf61 @t2)) % 0.38/0.91 (define @t27 () (tptp.skaf60 @t2)) % 0.38/0.91 (define @t28 () (tptp.skaf59 @t2)) % 0.38/0.91 (define @t29 () (tptp.skaf58 @t2)) % 0.38/0.91 (define @t30 () (tptp.skaf57 @t2)) % 0.38/0.91 (define @t31 () (tptp.skaf56 @t2)) % 0.38/0.91 (define @t32 () (tptp.skaf55 @t2)) % 0.38/0.91 (define @t33 () (tptp.skaf54 @t2)) % 0.38/0.91 (define @t34 () (tptp.skaf53 @t2)) % 0.38/0.91 (define @t35 () (tptp.skaf52 @t2)) % 0.38/0.91 (define @t36 () (tptp.skaf51 @t2)) % 0.38/0.91 (define @t37 () (tptp.skaf50 @t2)) % 0.38/0.91 (define @t38 () (tptp.skaf49 @t2)) % 0.38/0.91 (define @t39 () (tptp.skaf44 @t2)) % 0.38/0.91 (define @t40 () (@var "V" $$unsorted)) % 0.38/0.91 (define @t41 () (@list @t2 @t40)) % 0.38/0.91 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.38/0.91 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.38/0.91 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.38/0.91 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.38/0.91 (define @t46 () (not (tptp.ssItem @t2))) % 0.38/0.91 (define @t47 () (not (tptp.ssList @t2))) % 0.38/0.91 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.38/0.91 (define @t49 () (tptp.ssItem @t40)) % 0.38/0.91 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.38/0.91 (define @t51 () (tptp.app tptp.nil @t2)) % 0.38/0.91 (define @t52 () (or @t47 (= @t51 @t2))) % 0.38/0.91 (define @t53 () (forall @t4 @t52)) % 0.38/0.91 (define @t54 () (= tptp.nil @t2)) % 0.38/0.91 (define @t55 () (tptp.tl @t2)) % 0.38/0.91 (define @t56 () (tptp.hd @t2)) % 0.38/0.91 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.38/0.91 (define @t58 () (not @t54)) % 0.38/0.91 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.38/0.91 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.38/0.91 (define @t61 () (tptp.app @t40 @t2)) % 0.38/0.91 (define @t62 () (not (tptp.ssList @t40))) % 0.38/0.91 (define @t63 () (tptp.cons @t2 @t40)) % 0.38/0.91 (define @t64 () (tptp.cyclefreeP @t2)) % 0.38/0.91 (define @t65 () (tptp.equalelemsP @t2)) % 0.38/0.91 (define @t66 () (tptp.strictorderedP @t2)) % 0.38/0.91 (define @t67 () (tptp.totalorderedP @t2)) % 0.38/0.91 (define @t68 () (tptp.strictorderP @t2)) % 0.38/0.91 (define @t69 () (tptp.totalorderP @t2)) % 0.38/0.91 (define @t70 () (= @t40 @t2)) % 0.38/0.91 (define @t71 () (tptp.neq @t40 @t2)) % 0.38/0.91 (define @t72 () (not @t49)) % 0.38/0.91 (define @t73 () (tptp.leq @t2 @t40)) % 0.38/0.91 (define @t74 () (tptp.lt @t2 @t40)) % 0.38/0.91 (define @t75 () (not @t74)) % 0.38/0.91 (define @t76 () (tptp.lt @t40 @t2)) % 0.38/0.91 (define @t77 () (not (tptp.gt @t2 @t40))) % 0.38/0.91 (define @t78 () (tptp.gt @t40 @t2)) % 0.38/0.91 (define @t79 () (tptp.leq @t40 @t2)) % 0.38/0.91 (define @t80 () (not (tptp.geq @t2 @t40))) % 0.38/0.91 (define @t81 () (tptp.geq @t40 @t2)) % 0.38/0.91 (define @t82 () (not @t73)) % 0.38/0.91 (define @t83 () (= @t2 @t40)) % 0.38/0.91 (define @t84 () (not @t83)) % 0.38/0.91 (define @t85 () (tptp.cons @t40 @t2)) % 0.38/0.91 (define @t86 () (not (tptp.neq @t2 @t40))) % 0.38/0.91 (define @t87 () (or @t84 @t86 @t62 @t47)) % 0.38/0.91 (define @t88 () (forall @t41 @t87)) % 0.38/0.91 (define @t89 () (tptp.app @t2 @t40)) % 0.38/0.91 (define @t90 () (= @t89 tptp.nil)) % 0.38/0.91 (define @t91 () (not @t90)) % 0.38/0.91 (define @t92 () (= tptp.nil @t40)) % 0.38/0.91 (define @t93 () (tptp.hd @t40)) % 0.38/0.91 (define @t94 () (tptp.strictorderedP @t40)) % 0.38/0.91 (define @t95 () (tptp.strictorderedP @t63)) % 0.38/0.91 (define @t96 () (not @t95)) % 0.38/0.91 (define @t97 () (tptp.totalorderedP @t40)) % 0.38/0.91 (define @t98 () (tptp.totalorderedP @t63)) % 0.38/0.91 (define @t99 () (not @t98)) % 0.38/0.91 (define @t100 () (not (tptp.segmentP @t2 @t40))) % 0.38/0.91 (define @t101 () (not (tptp.rearsegP @t2 @t40))) % 0.38/0.91 (define @t102 () (not (tptp.frontsegP @t2 @t40))) % 0.38/0.91 (define @t103 () (not @t79)) % 0.38/0.91 (define @t104 () (tptp.app @t40 @t44)) % 0.38/0.91 (define @t105 () (or @t102 @t62 @t47 (= @t104 @t2))) % 0.38/0.91 (define @t106 () (forall @t41 @t105)) % 0.38/0.91 (define @t107 () (tptp.tl @t40)) % 0.38/0.91 (define @t108 () (tptp.lt @t2 @t93)) % 0.38/0.91 (define @t109 () (tptp.leq @t2 @t93)) % 0.38/0.91 (define @t110 () (@var "W" $$unsorted)) % 0.38/0.91 (define @t111 () (tptp.app @t110 @t2)) % 0.38/0.91 (define @t112 () (not (tptp.ssList @t110))) % 0.38/0.91 (define @t113 () (@list @t2 @t40 @t110)) % 0.38/0.91 (define @t114 () (tptp.app @t2 @t110)) % 0.38/0.91 (define @t115 () (tptp.cons @t40 @t110)) % 0.38/0.91 (define @t116 () (tptp.cons @t110 @t2)) % 0.38/0.91 (define @t117 () (not (tptp.ssItem @t110))) % 0.38/0.91 (define @t118 () (not (tptp.memberP @t2 @t40))) % 0.38/0.91 (define @t119 () (not (= @t89 @t110))) % 0.38/0.91 (define @t120 () (tptp.lt @t2 @t110)) % 0.38/0.91 (define @t121 () (not (tptp.lt @t40 @t110))) % 0.38/0.91 (define @t122 () (tptp.app @t110 @t40)) % 0.38/0.91 (define @t123 () (= @t40 @t110)) % 0.38/0.91 (define @t124 () (= @t2 @t110)) % 0.38/0.91 (define @t125 () (tptp.memberP @t40 @t110)) % 0.38/0.91 (define @t126 () (@var "X" $$unsorted)) % 0.38/0.91 (define @t127 () (not (tptp.ssList @t126))) % 0.38/0.91 (define @t128 () (tptp.cons @t110 @t126)) % 0.38/0.91 (define @t129 () (not (= @t63 @t128))) % 0.38/0.91 (define @t130 () (@list @t2 @t40 @t110 @t126)) % 0.38/0.91 (define @t131 () (not (tptp.frontsegP @t63 @t128))) % 0.38/0.91 (define @t132 () (tptp.app @t2 @t115)) % 0.38/0.91 (define @t133 () (not (tptp.ssItem @t126))) % 0.38/0.91 (define @t134 () (@var "Y" $$unsorted)) % 0.38/0.91 (define @t135 () (not (tptp.ssList @t134))) % 0.38/0.91 (define @t136 () (@list @t2 @t40 @t110 @t126 @t134)) % 0.38/0.91 (define @t137 () (tptp.lt @t40 @t126)) % 0.38/0.91 (define @t138 () (@var "Z" $$unsorted)) % 0.38/0.91 (define @t139 () (not (tptp.ssList @t138))) % 0.38/0.91 (define @t140 () (not (= (tptp.app @t132 (tptp.cons @t126 @t134)) @t138))) % 0.38/0.91 (define @t141 () (@list @t2 @t40 @t110 @t126 @t134 @t138)) % 0.38/0.91 (define @t142 () (tptp.leq @t40 @t126)) % 0.38/0.91 (define @t143 () (tptp.ssList tptp.sk1)) % 0.38/0.91 (define @t144 () (tptp.ssList tptp.sk2)) % 0.38/0.91 (define @t145 () (tptp.ssList tptp.sk3)) % 0.38/0.91 (define @t146 () (tptp.ssList tptp.sk4)) % 0.38/0.91 (define @t147 () (= tptp.sk2 tptp.sk4)) % 0.38/0.91 (define @t148 () (= tptp.sk1 tptp.sk3)) % 0.38/0.91 (define @t149 () (tptp.neq tptp.sk2 tptp.nil)) % 0.38/0.91 (define @t150 () (@var "A" $$unsorted)) % 0.38/0.91 (define @t151 () (tptp.neq tptp.sk3 tptp.nil)) % 0.38/0.91 (define @t152 () (= tptp.nil tptp.sk4)) % 0.38/0.91 (define @t153 () (tptp.frontsegP tptp.sk4 tptp.sk3)) % 0.38/0.91 (define @t154 () (= tptp.nil tptp.sk3)) % 0.38/0.91 (define @t155 () (@list tptp.sk1)) % 0.38/0.91 (define @t156 () (tptp.app tptp.nil tptp.sk1)) % 0.38/0.91 (define @t157 () (= tptp.sk1 @t156)) % 0.38/0.91 (define @t158 () (not @t143)) % 0.38/0.91 (define @t159 () (or @t158 @t157)) % 0.38/0.91 (define @t160 () (@list false false)) % 0.38/0.91 (define @t161 () (tptp.segmentP tptp.sk1 tptp.sk1)) % 0.38/0.91 (define @t162 () (or @t158 @t161)) % 0.38/0.91 (define @t163 () (tptp.segmentP tptp.sk1 tptp.sk3)) % 0.38/0.91 (define @t164 () (not (tptp.neq @t40 @t40))) % 0.38/0.91 (define @t165 () (not (= @t40 @t40))) % 0.38/0.91 (define @t166 () (or @t165 @t164 @t62 @t62)) % 0.38/0.91 (define @t167 () (@list @t40)) % 0.38/0.91 (define @t168 () (or @t84 @t84 @t86 @t62 @t47)) % 0.38/0.91 (define @t169 () (forall @t4 @t87)) % 0.38/0.91 (define @t170 () (forall @t167 @t169)) % 0.38/0.91 (define @t171 () (forall (@list @t40 @t2) @t87)) % 0.38/0.91 (define @t172 () (not @t144)) % 0.38/0.91 (define @t173 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.38/0.91 (define @t174 () (not @t173)) % 0.38/0.91 (define @t175 () (or @t174 @t172)) % 0.38/0.91 (define @t176 () (not @t152)) % 0.38/0.91 (define @t177 () (not @t149)) % 0.38/0.91 (define @t178 () (not @t147)) % 0.38/0.91 (define @t179 () (= false true)) % 0.38/0.91 (define @t180 () (and @t149 @t152 @t147 @t174)) % 0.38/0.91 (define @t181 () (@list true)) % 0.38/0.91 (define @t182 () (@list @t152)) % 0.38/0.91 (define @t183 () (not @t163)) % 0.38/0.91 (define @t184 () (tptp.segmentP tptp.sk2 tptp.sk3)) % 0.38/0.91 (define @t185 () (not @t184)) % 0.38/0.91 (define @t186 () (not @t151)) % 0.38/0.91 (define @t187 () (not @t145)) % 0.38/0.91 (define @t188 () (or @t187 @t186 @t185 @t183)) % 0.38/0.91 (define @t189 () (@list false false false false)) % 0.38/0.91 (define @t190 () (@list tptp.sk4 tptp.sk3)) % 0.38/0.91 (define @t191 () (tptp.skaf45 tptp.sk4 tptp.sk3)) % 0.38/0.91 (define @t192 () (tptp.app tptp.sk3 @t191)) % 0.38/0.91 (define @t193 () (= tptp.sk4 @t192)) % 0.38/0.91 (define @t194 () (not @t146)) % 0.38/0.91 (define @t195 () (not @t153)) % 0.38/0.91 (define @t196 () (or @t195 @t187 @t194 @t193)) % 0.38/0.91 (define @t197 () (tptp.segmentP (tptp.app @t156 @t191) tptp.sk3)) % 0.38/0.91 (define @t198 () (not @t1)) % 0.38/0.91 (define @t199 () (tptp.ssList @t191)) % 0.38/0.91 (define @t200 () (not @t199)) % 0.38/0.91 (define @t201 () (or @t183 @t200 @t198 @t187 @t158 @t197)) % 0.38/0.91 (define @t202 () (not @t197)) % 0.38/0.91 (define @t203 () (not @t193)) % 0.38/0.91 (define @t204 () (not @t157)) % 0.38/0.91 (define @t205 () (not @t148)) % 0.38/0.91 (define @t206 () (and @t197 @t157 @t148 @t193 @t147 @t185)) % 0.38/0.91 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.38/0.91 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.38/0.91 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.38/0.91 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.38/0.91 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.38/0.91 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.38/0.91 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.38/0.91 (assume @p8 @t1) % 0.38/0.91 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.38/0.91 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.38/0.91 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.38/0.91 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.38/0.91 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.38/0.91 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.38/0.91 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.38/0.91 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.38/0.91 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.38/0.91 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.38/0.91 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.38/0.91 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.38/0.91 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.38/0.91 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.38/0.91 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.38/0.91 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.38/0.91 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.38/0.91 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.38/0.91 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.38/0.91 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.38/0.91 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.38/0.91 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.38/0.91 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.38/0.91 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.38/0.91 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.38/0.91 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.38/0.91 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.38/0.91 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.38/0.91 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.38/0.91 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.38/0.91 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.38/0.91 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.38/0.91 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.38/0.91 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.38/0.91 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.38/0.91 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.38/0.91 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.38/0.91 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.38/0.91 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.38/0.91 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.38/0.91 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.38/0.91 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.38/0.91 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.38/0.91 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.38/0.91 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.38/0.91 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.38/0.91 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.38/0.91 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.38/0.91 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.38/0.91 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.38/0.91 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.38/0.91 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.38/0.91 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.38/0.91 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.38/0.91 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.38/0.91 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.38/0.91 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.38/0.91 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.38/0.91 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.38/0.91 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.38/0.91 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.38/0.91 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.38/0.91 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.38/0.91 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.38/0.91 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.38/0.91 (assume @p74 @t53) % 0.38/0.91 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.38/0.91 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.38/0.91 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.38/0.91 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.38/0.91 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 0.38/0.91 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.38/0.91 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 0.38/0.91 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 0.38/0.91 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 0.38/0.91 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 0.38/0.91 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 0.38/0.91 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 0.38/0.91 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 0.38/0.91 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 0.38/0.91 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 0.38/0.91 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 0.38/0.91 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 0.38/0.91 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 0.38/0.91 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 0.38/0.91 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 0.38/0.91 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 0.38/0.91 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 0.38/0.91 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 0.38/0.91 (assume @p98 (forall @t41 (or @t47 @t62 @t71 @t70))) % 0.38/0.91 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.38/0.91 (assume @p100 (forall @t41 (or @t46 @t72 @t71 @t70))) % 0.38/0.91 (assume @p101 (forall @t41 (or @t75 @t72 @t46 @t73))) % 0.38/0.91 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 0.38/0.91 (assume @p103 (forall @t41 (or @t77 @t72 @t46 @t76))) % 0.38/0.91 (assume @p104 (forall @t41 (or @t75 @t46 @t72 @t78))) % 0.38/0.91 (assume @p105 (forall @t41 (or @t80 @t72 @t46 @t79))) % 0.38/0.91 (assume @p106 (forall @t41 (or @t82 @t46 @t72 @t81))) % 0.38/0.91 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 0.38/0.91 (assume @p108 (forall @t41 (or @t77 (not @t78) @t46 @t72))) % 0.38/0.91 (assume @p109 (forall @t41 (or @t84 @t75 @t72 @t46))) % 0.38/0.91 (assume @p110 (forall @t41 (or @t58 @t47 @t72 (tptp.strictorderedP @t85)))) % 0.38/0.91 (assume @p111 (forall @t41 (or @t58 @t47 @t72 (tptp.totalorderedP @t85)))) % 0.38/0.91 (assume @p112 (forall @t41 (or @t75 (not @t76) @t46 @t72))) % 0.38/0.91 (assume @p113 @t88) % 0.38/0.91 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 0.38/0.91 (assume @p115 (forall @t41 (or @t84 @t86 @t72 @t46))) % 0.38/0.91 (assume @p116 (forall @t41 (or @t91 @t62 @t47 @t54))) % 0.38/0.91 (assume @p117 (forall @t41 (or @t91 @t62 @t47 @t92))) % 0.38/0.91 (assume @p118 (forall @t41 (or @t46 @t62 (= (tptp.app @t48 @t40) @t63)))) % 0.38/0.91 (assume @p119 (forall @t41 (or @t82 @t72 @t46 @t74 @t83))) % 0.38/0.91 (assume @p120 (forall @t41 (or @t47 @t62 @t92 (= (tptp.hd @t61) @t93)))) % 0.38/0.91 (assume @p121 (forall @t41 (or @t96 @t62 @t46 @t94 @t92))) % 0.38/0.91 (assume @p122 (forall @t41 (or @t99 @t62 @t46 @t97 @t92))) % 0.38/0.91 (assume @p123 (forall @t41 (or @t80 (not @t81) @t46 @t72 @t70))) % 0.38/0.91 (assume @p124 (forall @t41 (or @t100 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t70))) % 0.38/0.91 (assume @p125 (forall @t41 (or @t101 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t70))) % 0.38/0.91 (assume @p126 (forall @t41 (or @t102 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t70))) % 0.38/0.91 (assume @p127 (forall @t41 (or @t82 @t103 @t46 @t72 @t70))) % 0.38/0.91 (assume @p128 (forall @t41 (or @t101 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.38/0.91 (assume @p129 @t106) % 0.38/0.91 (assume @p130 (forall @t41 (or @t47 @t62 @t92 (= (tptp.tl @t61) (tptp.app @t107 @t2))))) % 0.38/0.91 (assume @p131 (forall @t41 (or @t96 @t62 @t46 @t108 @t92))) % 0.38/0.91 (assume @p132 (forall @t41 (or @t99 @t62 @t46 @t109 @t92))) % 0.38/0.91 (assume @p133 (forall @t113 (or @t101 @t112 @t62 @t47 (tptp.rearsegP @t111 @t40)))) % 0.38/0.91 (assume @p134 (forall @t113 (or @t102 @t112 @t62 @t47 (tptp.frontsegP @t114 @t40)))) % 0.38/0.91 (assume @p135 (forall @t113 (or @t84 @t112 @t72 @t46 (tptp.memberP @t115 @t2)))) % 0.38/0.91 (assume @p136 (forall @t113 (or @t118 @t47 @t117 @t72 (tptp.memberP @t116 @t40)))) % 0.38/0.91 (assume @p137 (forall @t113 (or @t118 @t112 @t47 @t72 (tptp.memberP @t114 @t40)))) % 0.38/0.91 (assume @p138 (forall @t113 (or @t118 @t47 @t112 @t72 (tptp.memberP @t111 @t40)))) % 0.38/0.91 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.38/0.91 (assume @p140 (forall @t113 (or @t119 @t47 @t62 @t112 (tptp.rearsegP @t110 @t40)))) % 0.38/0.91 (assume @p141 (forall @t113 (or @t119 @t62 @t47 @t112 (tptp.frontsegP @t110 @t2)))) % 0.38/0.91 (assume @p142 (forall @t41 (or @t58 (not @t92) @t62 @t47 @t90))) % 0.38/0.91 (assume @p143 (forall @t113 (or @t77 (not (tptp.gt @t40 @t110)) @t117 @t72 @t46 (tptp.gt @t2 @t110)))) % 0.38/0.91 (assume @p144 (forall @t113 (or @t82 @t121 @t117 @t72 @t46 @t120))) % 0.38/0.91 (assume @p145 (forall @t113 (or @t80 (not (tptp.geq @t40 @t110)) @t117 @t72 @t46 (tptp.geq @t2 @t110)))) % 0.38/0.91 (assume @p146 (forall @t113 (or @t47 @t62 @t112 (= (tptp.app @t122 @t2) (tptp.app @t110 @t61))))) % 0.38/0.91 (assume @p147 (forall @t113 (or (not (= @t89 @t114)) @t62 @t47 @t112 @t123))) % 0.38/0.91 (assume @p148 (forall @t113 (or (not (= @t89 @t122)) @t47 @t62 @t112 @t124))) % 0.38/0.91 (assume @p149 (forall @t113 (or @t100 (not (tptp.segmentP @t40 @t110)) @t112 @t62 @t47 (tptp.segmentP @t2 @t110)))) % 0.38/0.91 (assume @p150 (forall @t113 (or @t101 (not (tptp.rearsegP @t40 @t110)) @t112 @t62 @t47 (tptp.rearsegP @t2 @t110)))) % 0.38/0.91 (assume @p151 (forall @t113 (or @t102 (not (tptp.frontsegP @t40 @t110)) @t112 @t62 @t47 (tptp.frontsegP @t2 @t110)))) % 0.38/0.91 (assume @p152 (forall @t113 (or @t75 @t121 @t117 @t72 @t46 @t120))) % 0.38/0.91 (assume @p153 (forall @t113 (or @t82 (not (tptp.leq @t40 @t110)) @t117 @t72 @t46 (tptp.leq @t2 @t110)))) % 0.38/0.91 (assume @p154 (forall @t113 (or @t46 @t62 @t112 (= (tptp.cons @t2 (tptp.app @t40 @t110)) (tptp.app @t63 @t110))))) % 0.38/0.91 (assume @p155 (forall @t113 (or (not (tptp.memberP @t89 @t110)) @t62 @t47 @t117 @t125 (tptp.memberP @t2 @t110)))) % 0.38/0.91 (assume @p156 (forall @t41 (or (not @t109) (not @t97) @t62 @t46 @t98 @t92))) % 0.38/0.91 (assume @p157 (forall @t41 (or (not @t108) (not @t94) @t62 @t46 @t95 @t92))) % 0.38/0.91 (assume @p158 (forall @t113 (or (not (tptp.memberP @t63 @t110)) @t62 @t46 @t117 @t125 (= @t110 @t2)))) % 0.38/0.91 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.38/0.91 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.38/0.91 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.38/0.91 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.38/0.91 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.38/0.91 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.38/0.91 (assume @p165 (forall @t41 (or @t100 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.38/0.91 (assume @p166 (forall @t41 (or @t118 @t72 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.38/0.91 (assume @p167 (forall @t130 (or @t129 @t117 @t46 @t127 @t62 @t124))) % 0.38/0.91 (assume @p168 (forall @t130 (or @t129 @t117 @t46 @t127 @t62 (= @t126 @t40)))) % 0.38/0.91 (assume @p169 (forall @t130 (or @t100 @t112 @t127 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t126 @t2) @t110) @t40)))) % 0.38/0.91 (assume @p170 (forall @t130 (or (not (= (tptp.app @t89 @t110) @t126)) @t112 @t47 @t62 @t127 (tptp.segmentP @t126 @t40)))) % 0.38/0.91 (assume @p171 (forall @t130 (or @t131 @t127 @t62 @t117 @t46 (tptp.frontsegP @t40 @t126)))) % 0.38/0.91 (assume @p172 (forall @t130 (or (not (= @t132 @t126)) @t112 @t47 @t72 @t127 (tptp.memberP @t126 @t40)))) % 0.38/0.91 (assume @p173 (forall @t130 (or @t131 @t127 @t62 @t117 @t46 @t124))) % 0.38/0.91 (assume @p174 (forall @t41 (or (not (= @t55 @t107)) (not (= @t56 @t93)) @t47 @t62 @t92 @t83 @t54))) % 0.38/0.91 (assume @p175 (forall @t130 (or @t102 (not (= @t110 @t126)) @t62 @t47 @t133 @t117 (tptp.frontsegP @t116 (tptp.cons @t126 @t40))))) % 0.38/0.91 (assume @p176 (forall @t136 (or (not (= (tptp.app @t132 (tptp.cons @t40 @t126)) @t134)) @t127 @t112 @t47 @t72 (not (tptp.duplicatefreeP @t134)) @t135))) % 0.38/0.91 (assume @p177 (forall @t136 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t128)) @t134)) @t127 @t47 @t117 @t72 (not (tptp.equalelemsP @t134)) @t135 @t123))) % 0.38/0.91 (assume @p178 (forall @t141 (or @t140 @t135 @t112 @t47 @t133 @t72 (not (tptp.strictorderedP @t138)) @t139 @t137))) % 0.38/0.91 (assume @p179 (forall @t141 (or @t140 @t135 @t112 @t47 @t133 @t72 (not (tptp.totalorderedP @t138)) @t139 @t142))) % 0.38/0.91 (assume @p180 (forall @t141 (or @t140 @t135 @t112 @t47 @t133 @t72 (not (tptp.strictorderP @t138)) @t139 @t137 (tptp.lt @t126 @t40)))) % 0.38/0.91 (assume @p181 (forall @t141 (or @t140 @t135 @t112 @t47 @t133 @t72 (not (tptp.totalorderP @t138)) @t139 @t142 (tptp.leq @t126 @t40)))) % 0.38/0.91 (assume @p182 (forall @t141 (or @t82 @t103 (not (= (tptp.app (tptp.app @t110 (tptp.cons @t2 @t126)) (tptp.cons @t40 @t134)) @t138)) @t135 @t127 @t112 @t72 @t46 (not (tptp.cyclefreeP @t138)) @t139))) % 0.38/0.91 (assume @p183 @t143) % 0.38/0.91 (assume @p184 @t144) % 0.38/0.91 (assume @p185 @t145) % 0.38/0.91 (assume @p186 @t146) % 0.38/0.91 (assume @p187 @t147) % 0.38/0.91 (assume @p188 @t148) % 0.38/0.91 (assume @p189 @t149) % 0.38/0.91 (assume @p190 (forall (@list @t150) (or (not (tptp.ssList @t150)) (not (tptp.neq @t150 tptp.nil)) (not (tptp.segmentP tptp.sk2 @t150)) (not (tptp.segmentP tptp.sk1 @t150))))) % 0.38/0.91 (assume @p191 (or @t152 @t151)) % 0.38/0.91 (assume @p192 (or @t152 @t153)) % 0.38/0.91 (assume @p193 (or @t154 @t151)) % 0.38/0.91 (assume @p194 (or @t154 @t153)) % 0.38/0.91 (step @p195 :rule eq-symm :args (@t51 @t2)) % 0.38/0.91 (step @p196 :rule refl :args (@t47)) % 0.38/0.91 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t52)) % 0.38/0.91 (step @p198 :rule cong :premises (@p197) :args (@t53)) % 0.38/0.91 (step @p199 :rule eq_resolve :premises (@p74 @p198)) % 0.38/0.91 (step @p200 :rule instantiate :premises (@p199) :args (@t155)) % 0.38/0.91 (step @p201 :rule cnf_or_pos :args (@t159)) % 0.38/0.91 (step @p202 :rule reordering :premises (@p201) :args ((or @t158 @t157 (not @t159)))) % 0.38/0.91 (step @p203 :rule chain_m_resolution :premises (@p202 @p183 @p200) :args (@t157 @t160 (@list @t143 @t159))) % 0.38/0.91 (step @p204 :rule instantiate :premises (@p190) :args ((@list tptp.sk3))) % 0.38/0.91 (step @p205 :rule instantiate :premises (@p57) :args (@t155)) % 0.38/0.91 (step @p206 :rule cnf_or_pos :args (@t162)) % 0.38/0.91 (step @p207 :rule reordering :premises (@p206) :args ((or @t158 @t161 (not @t162)))) % 0.38/0.91 (step @p208 :rule chain_m_resolution :premises (@p207 @p183 @p205) :args (@t161 @t160 (@list @t143 @t162))) % 0.38/0.91 (step @p209 :rule true_intro :premises (@p208)) % 0.38/0.91 (step @p210 :rule symm :premises (@p188)) % 0.38/0.91 (step @p211 :rule refl :args (tptp.sk1)) % 0.38/0.91 (step @p212 :rule cong :premises (@p211 @p210) :args (@t163)) % 0.38/0.91 (step @p213 :rule trans :premises (@p212 @p209)) % 0.38/0.91 (step @p214 :rule true_elim :premises (@p213)) % 0.38/0.91 (step @p215 :rule aci_norm :args ((= (or false @t164 @t62 @t62) (or @t164 @t62)))) % 0.38/0.91 (step @p216 :rule refl :args (@t62)) % 0.38/0.91 (step @p217 :rule refl :args (@t164)) % 0.38/0.91 (step @p218 :rule evaluate :args ((not true))) % 0.38/0.91 (step @p219 :rule eq-refl :args (@t40)) % 0.38/0.91 (step @p220 :rule cong :premises (@p219) :args (@t165)) % 0.38/0.91 (step @p221 :rule trans :premises (@p220 @p218)) % 0.38/0.91 (step @p222 :rule nary_cong :premises (@p221 @p217 @p216 @p216) :args (@t166)) % 0.38/0.91 (step @p223 :rule trans :premises (@p222 @p215)) % 0.38/0.91 (step @p224 :rule cong :premises (@p223) :args ((forall @t167 @t166))) % 0.38/0.91 (step @p225 :rule quant-var-elim-eq :args ((= (forall @t4 @t168) @t166))) % 0.38/0.91 (step @p226 :rule aci_norm :args ((= @t87 @t168))) % 0.38/0.91 (step @p227 :rule cong :premises (@p226) :args (@t169)) % 0.38/0.91 (step @p228 :rule trans :premises (@p227 @p225)) % 0.38/0.91 (step @p229 :rule cong :premises (@p228) :args (@t170)) % 0.38/0.91 (step @p230 :rule quant-merge-prenex :args ((= @t170 @t171))) % 0.38/0.91 (step @p231 :rule symm :premises (@p230)) % 0.38/0.91 (step @p232 :rule quant_var_reordering :args ((= @t88 @t171))) % 0.38/0.91 (step @p233 :rule trans :premises (@p232 @p231 @p229)) % 0.38/0.91 (step @p234 :rule trans :premises (@p233 @p224)) % 0.38/0.91 (step @p235 :rule eq_resolve :premises (@p113 @p234)) % 0.38/0.91 (step @p236 :rule instantiate :premises (@p235) :args ((@list tptp.sk2))) % 0.38/0.91 (step @p237 :rule cnf_or_pos :args (@t175)) % 0.38/0.91 (step @p238 :rule reordering :premises (@p237) :args ((or @t172 @t174 (not @t175)))) % 0.38/0.91 (step @p239 :rule chain_m_resolution :premises (@p238 @p184 @p236) :args (@t174 @t160 (@list @t144 @t175))) % 0.38/0.91 (step @p240 :rule bool-double-not-elim :args (@t173)) % 0.38/0.91 (step @p241 :rule refl :args (@t176)) % 0.38/0.91 (step @p242 :rule refl :args (@t177)) % 0.38/0.91 (step @p243 :rule refl :args (@t178)) % 0.38/0.91 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241 @p240) :args ((or @t178 @t177 @t176 (not @t174)))) % 0.38/0.91 (assume-push @p348 @t149) % 0.38/0.91 (assume-push @p349 @t152) % 0.38/0.91 (assume-push @p350 @t147) % 0.38/0.91 (assume-push @p351 @t174) % 0.38/0.91 (step @p249 :rule evaluate :args (@t179)) % 0.38/0.91 (step @p250 :rule true_intro :premises (@p189)) % 0.38/0.91 (step @p251 :rule symm :premises (@p349)) % 0.38/0.91 (step @p252 :rule trans :premises (@p187 @p251)) % 0.38/0.91 (step @p253 :rule refl :args (tptp.sk2)) % 0.38/0.91 (step @p254 :rule cong :premises (@p253 @p252) :args (@t173)) % 0.38/0.91 (step @p255 :rule false_intro :premises (@p239)) % 0.38/0.91 (step @p256 :rule symm :premises (@p255)) % 0.38/0.91 (step @p257 :rule trans :premises (@p256 @p254 @p250)) % 0.38/0.91 (step @p258 false :rule eq_resolve :premises (@p257 @p249)) % 0.38/0.91 (step-pop @p352 :rule scope :premises (@p258)) % 0.38/0.91 (step-pop @p353 :rule scope :premises (@p352)) % 0.38/0.91 (step-pop @p354 :rule scope :premises (@p353)) % 0.38/0.91 (step-pop @p355 :rule scope :premises (@p354)) % 0.38/0.91 (step @p259 :rule process_scope :premises (@p355) :args (false)) % 0.38/0.91 (assume-push @p356 @t147) % 0.38/0.91 (assume-push @p357 @t149) % 0.38/0.91 (assume-push @p358 @t152) % 0.38/0.91 (assume-push @p359 @t174) % 0.38/0.91 (step @p268 :rule and_intro :premises (@p189 @p358 @p187 @p239)) % 0.38/0.91 (step-pop @p360 :rule scope :premises (@p268)) % 0.38/0.91 (step-pop @p361 :rule scope :premises (@p360)) % 0.38/0.91 (step-pop @p362 :rule scope :premises (@p361)) % 0.38/0.91 (step-pop @p363 :rule scope :premises (@p362)) % 0.38/0.91 (step @p269 :rule process_scope :premises (@p363) :args (@t180)) % 0.38/0.91 (step @p274 :rule implies_elim :premises (@p269)) % 0.38/0.91 (step @p275 :rule resolution :premises (@p274 @p259) :args (true @t180)) % 0.38/0.91 (step @p276 :rule not_and :premises (@p275)) % 0.38/0.91 (step @p277 :rule eq_resolve :premises (@p276 @p244)) % 0.38/0.91 (step @p278 :rule chain_m_resolution :premises (@p277 @p187 @p189 @p239) :args (@t176 (@list false false true) (@list @t147 @t149 @t173))) % 0.38/0.91 (step @p279 :rule chain_m_resolution :premises (@p191 @p278) :args (@t151 @t181 @t182)) % 0.38/0.91 (step @p280 :rule cnf_or_pos :args (@t188)) % 0.38/0.91 (step @p281 :rule reordering :premises (@p280) :args ((or @t187 @t186 @t185 @t183 (not @t188)))) % 0.38/0.91 (step @p282 :rule chain_m_resolution :premises (@p281 @p185 @p279 @p214 @p204) :args (@t185 @t189 (@list @t145 @t151 @t163 @t188))) % 0.38/0.91 (step @p283 :rule eq-symm :args (@t104 @t2)) % 0.38/0.91 (step @p284 :rule refl :args (@t102)) % 0.38/0.91 (step @p285 :rule nary_cong :premises (@p284 @p216 @p196 @p283) :args (@t105)) % 0.38/0.91 (step @p286 :rule cong :premises (@p285) :args (@t106)) % 0.38/0.91 (step @p287 :rule eq_resolve :premises (@p129 @p286)) % 0.38/0.91 (step @p288 :rule instantiate :premises (@p287) :args (@t190)) % 0.38/0.91 (step @p289 :rule chain_m_resolution :premises (@p192 @p278) :args (@t153 @t181 @t182)) % 0.38/0.91 (step @p290 :rule cnf_or_pos :args (@t196)) % 0.38/0.91 (step @p291 :rule reordering :premises (@p290) :args ((or @t187 @t194 @t195 @t193 (not @t196)))) % 0.38/0.91 (step @p292 :rule chain_m_resolution :premises (@p291 @p185 @p186 @p289 @p288) :args (@t193 @t189 (@list @t145 @t146 @t153 @t196))) % 0.38/0.91 (step @p293 :rule instantiate :premises (@p169) :args ((@list tptp.sk1 tptp.sk3 @t191 tptp.nil))) % 0.38/0.91 (step @p294 :rule instantiate :premises (@p51) :args (@t190)) % 0.38/0.91 (step @p295 :rule cnf_or_pos :args (@t201)) % 0.38/0.91 (step @p296 :rule reordering :premises (@p295) :args ((or @t198 @t158 @t187 @t183 @t200 @t197 (not @t201)))) % 0.38/0.91 (step @p297 :rule chain_m_resolution :premises (@p296 @p8 @p183 @p185 @p214 @p294 @p293) :args (@t197 (@list false false false false false false) (@list @t1 @t143 @t145 @t163 @t199 @t201))) % 0.38/0.91 (step @p298 :rule refl :args (@t202)) % 0.38/0.91 (step @p299 :rule bool-double-not-elim :args (@t184)) % 0.38/0.91 (step @p300 :rule refl :args (@t203)) % 0.38/0.91 (step @p301 :rule refl :args (@t204)) % 0.38/0.91 (step @p302 :rule refl :args (@t205)) % 0.38/0.91 (step @p303 :rule nary_cong :premises (@p243 @p302 @p301 @p300 @p299 @p298) :args ((or @t178 @t205 @t204 @t203 (not @t185) @t202))) % 0.38/0.91 (assume-push @p364 @t197) % 0.38/0.91 (assume-push @p365 @t157) % 0.38/0.91 (assume-push @p366 @t148) % 0.38/0.91 (assume-push @p367 @t193) % 0.38/0.91 (assume-push @p368 @t147) % 0.38/0.91 (assume-push @p369 @t185) % 0.38/0.91 (step @p249 :rule evaluate :args (@t179)) % 0.38/0.91 (step @p310 :rule true_intro :premises (@p297)) % 0.38/0.91 (step @p311 :rule refl :args (tptp.sk3)) % 0.38/0.91 (step @p312 :rule refl :args (@t191)) % 0.38/0.91 (step @p313 :rule trans :premises (@p210 @p203)) % 0.38/0.91 (step @p314 :rule cong :premises (@p313 @p312) :args (@t192)) % 0.38/0.91 (step @p315 :rule trans :premises (@p187 @p367 @p314)) % 0.38/0.91 (step @p316 :rule cong :premises (@p315 @p311) :args (@t184)) % 0.38/0.91 (step @p317 :rule false_intro :premises (@p369)) % 0.38/0.91 (step @p318 :rule symm :premises (@p317)) % 0.38/0.91 (step @p319 :rule trans :premises (@p318 @p316 @p310)) % 0.38/0.91 (step @p320 false :rule eq_resolve :premises (@p319 @p249)) % 0.38/0.91 (step-pop @p370 :rule scope :premises (@p320)) % 0.38/0.91 (step-pop @p371 :rule scope :premises (@p370)) % 0.38/0.91 (step-pop @p372 :rule scope :premises (@p371)) % 0.38/0.91 (step-pop @p373 :rule scope :premises (@p372)) % 0.38/0.91 (step-pop @p374 :rule scope :premises (@p373)) % 0.38/0.91 (step-pop @p375 :rule scope :premises (@p374)) % 0.38/0.91 (step @p321 :rule process_scope :premises (@p375) :args (false)) % 0.38/0.91 (assume-push @p376 @t147) % 0.38/0.91 (assume-push @p377 @t148) % 0.38/0.91 (assume-push @p378 @t157) % 0.38/0.91 (assume-push @p379 @t193) % 0.38/0.91 (assume-push @p380 @t185) % 0.38/0.91 (assume-push @p381 @t197) % 0.38/0.91 (step @p334 :rule and_intro :premises (@p297 @p203 @p188 @p379 @p187 @p380)) % 0.38/0.91 (step-pop @p382 :rule scope :premises (@p334)) % 0.38/0.91 (step-pop @p383 :rule scope :premises (@p382)) % 0.38/0.91 (step-pop @p384 :rule scope :premises (@p383)) % 0.38/0.91 (step-pop @p385 :rule scope :premises (@p384)) % 0.38/0.91 (step-pop @p386 :rule scope :premises (@p385)) % 0.38/0.91 (step-pop @p387 :rule scope :premises (@p386)) % 0.38/0.91 (step @p335 :rule process_scope :premises (@p387) :args (@t206)) % 0.38/0.91 (step @p342 :rule implies_elim :premises (@p335)) % 0.38/0.91 (step @p343 :rule resolution :premises (@p342 @p321) :args (true @t206)) % 0.38/0.91 (step @p344 :rule not_and :premises (@p343)) % 0.38/0.91 (step @p345 :rule eq_resolve :premises (@p344 @p303)) % 0.38/0.91 (step @p346 :rule reordering :premises (@p345) :args ((or @t178 @t205 @t184 @t204 @t203 @t202))) % 0.38/0.91 (step @p347 false :rule chain_m_resolution :premises (@p346 @p297 @p292 @p282 @p203 @p188 @p187) :args (false (@list false false true false false false) (@list @t197 @t193 @t184 @t157 @t148 @t147))) % 0.38/0.91 ) % 0.38/0.91 % SZS output end Proof % 0.38/0.91 % cvc5 exiting %------------------------------------------------------------------------------