%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC308-1 : 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 : n012.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 08:58:49 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.60s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC308-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 19:40:03 EDT 2026 % 0.08/0.25 % CPUTime : % 0.14/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.60 % SZS status Unsatisfiable % 0.33/0.60 % SZS output start Proof % 0.33/0.61 ( % 0.33/0.61 (declare-sort $$unsorted 0) % 0.33/0.61 (declare-const tptp.sk4 $$unsorted) % 0.33/0.61 (declare-const tptp.sk2 $$unsorted) % 0.33/0.61 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.nil $$unsorted) % 0.33/0.61 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.sk1 $$unsorted) % 0.33/0.61 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skac2 $$unsorted) % 0.33/0.61 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.sk3 $$unsorted) % 0.33/0.61 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skac3 $$unsorted) % 0.33/0.61 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.33/0.61 (define @t1 () (tptp.ssList tptp.nil)) % 0.33/0.61 (define @t2 () (@var "U" $$unsorted)) % 0.33/0.61 (define @t3 () (tptp.skaf83 @t2)) % 0.33/0.61 (define @t4 () (@list @t2)) % 0.33/0.61 (define @t5 () (tptp.skaf82 @t2)) % 0.33/0.61 (define @t6 () (tptp.skaf81 @t2)) % 0.33/0.61 (define @t7 () (tptp.skaf80 @t2)) % 0.33/0.61 (define @t8 () (tptp.skaf79 @t2)) % 0.33/0.61 (define @t9 () (tptp.skaf78 @t2)) % 0.33/0.61 (define @t10 () (tptp.skaf77 @t2)) % 0.33/0.61 (define @t11 () (tptp.skaf76 @t2)) % 0.33/0.61 (define @t12 () (tptp.skaf75 @t2)) % 0.33/0.61 (define @t13 () (tptp.skaf74 @t2)) % 0.33/0.61 (define @t14 () (tptp.skaf73 @t2)) % 0.33/0.61 (define @t15 () (tptp.skaf72 @t2)) % 0.33/0.61 (define @t16 () (tptp.skaf71 @t2)) % 0.33/0.61 (define @t17 () (tptp.skaf70 @t2)) % 0.33/0.61 (define @t18 () (tptp.skaf69 @t2)) % 0.33/0.61 (define @t19 () (tptp.skaf68 @t2)) % 0.33/0.61 (define @t20 () (tptp.skaf67 @t2)) % 0.33/0.61 (define @t21 () (tptp.skaf66 @t2)) % 0.33/0.61 (define @t22 () (tptp.skaf65 @t2)) % 0.33/0.61 (define @t23 () (tptp.skaf64 @t2)) % 0.33/0.61 (define @t24 () (tptp.skaf63 @t2)) % 0.33/0.61 (define @t25 () (tptp.skaf62 @t2)) % 0.33/0.61 (define @t26 () (tptp.skaf61 @t2)) % 0.33/0.61 (define @t27 () (tptp.skaf60 @t2)) % 0.33/0.61 (define @t28 () (tptp.skaf59 @t2)) % 0.33/0.61 (define @t29 () (tptp.skaf58 @t2)) % 0.33/0.61 (define @t30 () (tptp.skaf57 @t2)) % 0.33/0.61 (define @t31 () (tptp.skaf56 @t2)) % 0.33/0.61 (define @t32 () (tptp.skaf55 @t2)) % 0.33/0.61 (define @t33 () (tptp.skaf54 @t2)) % 0.33/0.61 (define @t34 () (tptp.skaf53 @t2)) % 0.33/0.61 (define @t35 () (tptp.skaf52 @t2)) % 0.33/0.61 (define @t36 () (tptp.skaf51 @t2)) % 0.33/0.61 (define @t37 () (tptp.skaf50 @t2)) % 0.33/0.61 (define @t38 () (tptp.skaf49 @t2)) % 0.33/0.61 (define @t39 () (tptp.skaf44 @t2)) % 0.33/0.61 (define @t40 () (@var "V" $$unsorted)) % 0.33/0.61 (define @t41 () (@list @t2 @t40)) % 0.33/0.61 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.33/0.61 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.33/0.61 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.33/0.61 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.33/0.61 (define @t46 () (not (tptp.ssItem @t2))) % 0.33/0.61 (define @t47 () (not (tptp.ssList @t2))) % 0.33/0.61 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.33/0.61 (define @t49 () (tptp.ssItem @t40)) % 0.33/0.61 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.33/0.61 (define @t51 () (= tptp.nil @t2)) % 0.33/0.61 (define @t52 () (tptp.tl @t2)) % 0.33/0.61 (define @t53 () (tptp.hd @t2)) % 0.33/0.61 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 0.33/0.61 (define @t55 () (not @t51)) % 0.33/0.61 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 0.33/0.61 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 0.33/0.61 (define @t58 () (tptp.app @t40 @t2)) % 0.33/0.61 (define @t59 () (not (tptp.ssList @t40))) % 0.33/0.61 (define @t60 () (tptp.cons @t2 @t40)) % 0.33/0.61 (define @t61 () (tptp.cyclefreeP @t2)) % 0.33/0.61 (define @t62 () (tptp.equalelemsP @t2)) % 0.33/0.61 (define @t63 () (tptp.strictorderedP @t2)) % 0.33/0.61 (define @t64 () (tptp.totalorderedP @t2)) % 0.33/0.61 (define @t65 () (tptp.strictorderP @t2)) % 0.33/0.61 (define @t66 () (tptp.totalorderP @t2)) % 0.33/0.61 (define @t67 () (= @t40 @t2)) % 0.33/0.61 (define @t68 () (tptp.neq @t40 @t2)) % 0.33/0.61 (define @t69 () (or @t47 @t59 @t68 @t67)) % 0.33/0.61 (define @t70 () (forall @t41 @t69)) % 0.33/0.61 (define @t71 () (not @t49)) % 0.33/0.61 (define @t72 () (tptp.leq @t2 @t40)) % 0.33/0.61 (define @t73 () (tptp.lt @t2 @t40)) % 0.33/0.61 (define @t74 () (not @t73)) % 0.33/0.61 (define @t75 () (tptp.cons @t53 @t52)) % 0.33/0.61 (define @t76 () (or @t47 (= @t75 @t2) @t51)) % 0.33/0.61 (define @t77 () (forall @t4 @t76)) % 0.33/0.61 (define @t78 () (tptp.lt @t40 @t2)) % 0.33/0.61 (define @t79 () (not (tptp.gt @t2 @t40))) % 0.33/0.61 (define @t80 () (tptp.gt @t40 @t2)) % 0.33/0.61 (define @t81 () (tptp.leq @t40 @t2)) % 0.33/0.61 (define @t82 () (not (tptp.geq @t2 @t40))) % 0.33/0.61 (define @t83 () (tptp.geq @t40 @t2)) % 0.33/0.61 (define @t84 () (not @t72)) % 0.33/0.61 (define @t85 () (= @t2 @t40)) % 0.33/0.61 (define @t86 () (not @t85)) % 0.33/0.61 (define @t87 () (tptp.cons @t40 @t2)) % 0.33/0.61 (define @t88 () (not (tptp.neq @t2 @t40))) % 0.33/0.61 (define @t89 () (or @t86 @t88 @t59 @t47)) % 0.33/0.61 (define @t90 () (forall @t41 @t89)) % 0.33/0.61 (define @t91 () (tptp.app @t2 @t40)) % 0.33/0.61 (define @t92 () (= @t91 tptp.nil)) % 0.33/0.61 (define @t93 () (not @t92)) % 0.33/0.61 (define @t94 () (= tptp.nil @t40)) % 0.33/0.61 (define @t95 () (tptp.app @t48 @t40)) % 0.33/0.61 (define @t96 () (or @t46 @t59 (= @t95 @t60))) % 0.33/0.61 (define @t97 () (forall @t41 @t96)) % 0.33/0.61 (define @t98 () (tptp.hd @t40)) % 0.33/0.61 (define @t99 () (tptp.strictorderedP @t40)) % 0.33/0.61 (define @t100 () (tptp.strictorderedP @t60)) % 0.33/0.61 (define @t101 () (not @t100)) % 0.33/0.61 (define @t102 () (tptp.totalorderedP @t40)) % 0.33/0.61 (define @t103 () (tptp.totalorderedP @t60)) % 0.33/0.61 (define @t104 () (not @t103)) % 0.33/0.61 (define @t105 () (not (tptp.segmentP @t2 @t40))) % 0.33/0.61 (define @t106 () (not (tptp.rearsegP @t2 @t40))) % 0.33/0.61 (define @t107 () (not (tptp.frontsegP @t2 @t40))) % 0.33/0.61 (define @t108 () (not @t81)) % 0.33/0.61 (define @t109 () (tptp.tl @t40)) % 0.33/0.61 (define @t110 () (tptp.lt @t2 @t98)) % 0.33/0.61 (define @t111 () (tptp.leq @t2 @t98)) % 0.33/0.61 (define @t112 () (@var "W" $$unsorted)) % 0.33/0.61 (define @t113 () (tptp.app @t112 @t2)) % 0.33/0.61 (define @t114 () (not (tptp.ssList @t112))) % 0.33/0.61 (define @t115 () (@list @t2 @t40 @t112)) % 0.33/0.61 (define @t116 () (tptp.app @t2 @t112)) % 0.33/0.61 (define @t117 () (tptp.cons @t40 @t112)) % 0.33/0.61 (define @t118 () (tptp.cons @t112 @t2)) % 0.33/0.61 (define @t119 () (not (tptp.ssItem @t112))) % 0.33/0.61 (define @t120 () (not (tptp.memberP @t2 @t40))) % 0.33/0.61 (define @t121 () (not (= @t91 @t112))) % 0.33/0.61 (define @t122 () (tptp.lt @t2 @t112)) % 0.33/0.61 (define @t123 () (not (tptp.lt @t40 @t112))) % 0.33/0.61 (define @t124 () (tptp.app @t112 @t40)) % 0.33/0.61 (define @t125 () (= @t40 @t112)) % 0.33/0.61 (define @t126 () (= @t2 @t112)) % 0.33/0.61 (define @t127 () (tptp.memberP @t40 @t112)) % 0.33/0.61 (define @t128 () (@var "X" $$unsorted)) % 0.33/0.61 (define @t129 () (not (tptp.ssList @t128))) % 0.33/0.61 (define @t130 () (tptp.cons @t112 @t128)) % 0.33/0.61 (define @t131 () (not (= @t60 @t130))) % 0.33/0.61 (define @t132 () (@list @t2 @t40 @t112 @t128)) % 0.33/0.61 (define @t133 () (not (tptp.frontsegP @t60 @t130))) % 0.33/0.61 (define @t134 () (tptp.app @t2 @t117)) % 0.33/0.61 (define @t135 () (not (tptp.ssItem @t128))) % 0.33/0.61 (define @t136 () (@var "Y" $$unsorted)) % 0.33/0.61 (define @t137 () (not (tptp.ssList @t136))) % 0.33/0.61 (define @t138 () (@list @t2 @t40 @t112 @t128 @t136)) % 0.33/0.61 (define @t139 () (tptp.lt @t40 @t128)) % 0.33/0.61 (define @t140 () (@var "Z" $$unsorted)) % 0.33/0.61 (define @t141 () (not (tptp.ssList @t140))) % 0.33/0.61 (define @t142 () (not (= (tptp.app @t134 (tptp.cons @t128 @t136)) @t140))) % 0.33/0.61 (define @t143 () (@list @t2 @t40 @t112 @t128 @t136 @t140)) % 0.33/0.61 (define @t144 () (tptp.leq @t40 @t128)) % 0.33/0.61 (define @t145 () (tptp.ssList tptp.sk1)) % 0.33/0.61 (define @t146 () (tptp.ssList tptp.sk2)) % 0.33/0.61 (define @t147 () (= tptp.sk2 tptp.sk4)) % 0.33/0.61 (define @t148 () (= tptp.sk1 tptp.sk3)) % 0.33/0.61 (define @t149 () (tptp.neq tptp.sk2 tptp.nil)) % 0.33/0.61 (define @t150 () (tptp.neq tptp.nil tptp.sk2)) % 0.33/0.61 (define @t151 () (not @t150)) % 0.33/0.61 (define @t152 () (@var "D" $$unsorted)) % 0.33/0.61 (define @t153 () (tptp.hd tptp.sk2)) % 0.33/0.61 (define @t154 () (not (= @t153 @t152))) % 0.33/0.61 (define @t155 () (@var "C" $$unsorted)) % 0.33/0.61 (define @t156 () (tptp.cons @t152 tptp.nil)) % 0.33/0.61 (define @t157 () (not (= @t156 @t155))) % 0.33/0.61 (define @t158 () (not (tptp.ssItem @t152))) % 0.33/0.61 (define @t159 () (@var "A" $$unsorted)) % 0.33/0.61 (define @t160 () (@var "B" $$unsorted)) % 0.33/0.61 (define @t161 () (tptp.app @t160 @t155)) % 0.33/0.61 (define @t162 () (not (= @t161 @t159))) % 0.33/0.61 (define @t163 () (tptp.tl tptp.sk2)) % 0.33/0.61 (define @t164 () (not (= @t163 @t160))) % 0.33/0.61 (define @t165 () (not (tptp.ssList @t155))) % 0.33/0.61 (define @t166 () (not (tptp.ssList @t160))) % 0.33/0.61 (define @t167 () (not (= tptp.sk1 @t159))) % 0.33/0.61 (define @t168 () (not (tptp.ssList @t159))) % 0.33/0.61 (define @t169 () (or @t168 @t167 @t166 @t165 @t164 @t162 @t158 @t157 @t154 @t151 @t151)) % 0.33/0.61 (define @t170 () (@list @t159 @t160 @t155 @t152)) % 0.33/0.61 (define @t171 () (forall @t170 @t169)) % 0.33/0.61 (define @t172 () (tptp.cons @t159 tptp.nil)) % 0.33/0.61 (define @t173 () (tptp.app @t172 @t160)) % 0.33/0.61 (define @t174 () (not (= @t173 tptp.sk4))) % 0.33/0.61 (define @t175 () (tptp.app @t160 @t172)) % 0.33/0.61 (define @t176 () (not (tptp.ssItem @t159))) % 0.33/0.61 (define @t177 () (or @t176 @t166 (= @t175 tptp.sk3) @t174)) % 0.33/0.61 (define @t178 () (forall (@list @t159 @t160) @t177)) % 0.33/0.61 (define @t179 () (@list tptp.sk2)) % 0.33/0.61 (define @t180 () (not (tptp.neq @t40 @t40))) % 0.33/0.61 (define @t181 () (not (= @t40 @t40))) % 0.33/0.61 (define @t182 () (or @t181 @t180 @t59 @t59)) % 0.33/0.61 (define @t183 () (@list @t40)) % 0.33/0.61 (define @t184 () (or @t86 @t86 @t88 @t59 @t47)) % 0.33/0.61 (define @t185 () (forall @t4 @t89)) % 0.33/0.61 (define @t186 () (forall @t183 @t185)) % 0.33/0.61 (define @t187 () (forall (@list @t40 @t2) @t89)) % 0.33/0.61 (define @t188 () (not @t146)) % 0.33/0.61 (define @t189 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.33/0.61 (define @t190 () (not @t189)) % 0.33/0.61 (define @t191 () (or @t190 @t188)) % 0.33/0.61 (define @t192 () (= tptp.nil tptp.sk2)) % 0.33/0.61 (define @t193 () (not @t192)) % 0.33/0.61 (define @t194 () (not @t149)) % 0.33/0.61 (define @t195 () (tptp.ssList @t163)) % 0.33/0.61 (define @t196 () (or @t188 @t195 @t192)) % 0.33/0.61 (define @t197 () (@list false true false)) % 0.33/0.61 (define @t198 () (tptp.ssItem @t153)) % 0.33/0.61 (define @t199 () (or @t188 @t198 @t192)) % 0.33/0.61 (define @t200 () (@list @t153 @t163)) % 0.33/0.61 (define @t201 () (tptp.cons @t153 tptp.nil)) % 0.33/0.61 (define @t202 () (tptp.app @t201 @t163)) % 0.33/0.61 (define @t203 () (tptp.cons @t153 @t163)) % 0.33/0.61 (define @t204 () (= @t203 @t202)) % 0.33/0.61 (define @t205 () (not @t195)) % 0.33/0.61 (define @t206 () (not @t198)) % 0.33/0.61 (define @t207 () (or @t206 @t205 @t204)) % 0.33/0.61 (define @t208 () (@list false false false)) % 0.33/0.61 (define @t209 () (= tptp.sk2 @t203)) % 0.33/0.61 (define @t210 () (or @t188 @t209 @t192)) % 0.33/0.61 (define @t211 () (= tptp.sk4 @t202)) % 0.33/0.61 (define @t212 () (and @t147 @t209 @t204)) % 0.33/0.61 (define @t213 () (tptp.ssList @t201)) % 0.33/0.61 (define @t214 () (not @t1)) % 0.33/0.61 (define @t215 () (or @t206 @t214 @t213)) % 0.33/0.61 (define @t216 () (or @t188 @t214 @t150 (= tptp.sk2 tptp.nil))) % 0.33/0.61 (define @t217 () (forall @t41 (or @t47 @t59 @t68 @t85))) % 0.33/0.61 (define @t218 () (or @t188 @t214 @t150 @t192)) % 0.33/0.61 (define @t219 () (tptp.app @t163 @t201)) % 0.33/0.61 (define @t220 () (= tptp.sk1 @t219)) % 0.33/0.61 (define @t221 () (not @t220)) % 0.33/0.61 (define @t222 () (not @t213)) % 0.33/0.61 (define @t223 () (not @t145)) % 0.33/0.61 (define @t224 () (or @t223 @t205 @t222 @t221 @t206)) % 0.33/0.61 (define @t225 () (or @t205 @t222 @t221 @t206)) % 0.33/0.61 (define @t226 () (or @t222 @t221 @t206)) % 0.33/0.61 (define @t227 () (not (= @t153 @t153))) % 0.33/0.61 (define @t228 () (or @t222 @t221 @t206 @t227)) % 0.33/0.61 (define @t229 () (not (= @t152 @t153))) % 0.33/0.61 (define @t230 () (not (= tptp.sk1 (tptp.app @t163 @t156)))) % 0.33/0.61 (define @t231 () (not (tptp.ssList @t156))) % 0.33/0.61 (define @t232 () (or @t229 @t231 @t230 @t158 @t229)) % 0.33/0.61 (define @t233 () (@list @t152)) % 0.33/0.61 (define @t234 () (or @t231 @t230 @t158 @t229)) % 0.33/0.61 (define @t235 () (not (= @t156 @t156))) % 0.33/0.61 (define @t236 () (or @t231 @t230 @t158 @t235 @t229)) % 0.33/0.61 (define @t237 () (not (= @t155 @t156))) % 0.33/0.61 (define @t238 () (not (= tptp.sk1 (tptp.app @t163 @t155)))) % 0.33/0.61 (define @t239 () (or @t237 @t165 @t238 @t158 @t237 @t229)) % 0.33/0.61 (define @t240 () (@list @t155)) % 0.33/0.61 (define @t241 () (or @t165 @t238 @t158 @t237 @t229)) % 0.33/0.61 (define @t242 () (forall @t240 @t241)) % 0.33/0.61 (define @t243 () (forall @t233 @t242)) % 0.33/0.61 (define @t244 () (forall (@list @t152 @t155) @t241)) % 0.33/0.61 (define @t245 () (@list @t155 @t152)) % 0.33/0.61 (define @t246 () (forall @t245 @t241)) % 0.33/0.61 (define @t247 () (or @t205 @t246)) % 0.33/0.61 (define @t248 () (or @t205 @t241)) % 0.33/0.61 (define @t249 () (or @t205 @t165 @t238 @t158 @t237 @t229)) % 0.33/0.61 (define @t250 () (not (= @t163 @t163))) % 0.33/0.61 (define @t251 () (or @t205 @t250 @t165 @t238 @t158 @t237 @t229)) % 0.33/0.61 (define @t252 () (not (= tptp.sk1 @t161))) % 0.33/0.61 (define @t253 () (not (= @t160 @t163))) % 0.33/0.61 (define @t254 () (or @t253 @t166 @t253 @t165 @t252 @t158 @t237 @t229)) % 0.33/0.61 (define @t255 () (@list @t160)) % 0.33/0.61 (define @t256 () (or @t166 @t253 @t165 @t252 @t158 @t237 @t229)) % 0.33/0.61 (define @t257 () (forall @t255 @t256)) % 0.33/0.61 (define @t258 () (forall @t245 @t257)) % 0.33/0.61 (define @t259 () (forall (@list @t155 @t152 @t160) @t256)) % 0.33/0.61 (define @t260 () (@list @t160 @t155 @t152)) % 0.33/0.61 (define @t261 () (forall @t260 @t256)) % 0.33/0.61 (define @t262 () (or @t223 @t261)) % 0.33/0.61 (define @t263 () (or @t223 @t256)) % 0.33/0.61 (define @t264 () (or @t223 @t166 @t253 @t165 @t252 @t158 @t237 @t229)) % 0.33/0.61 (define @t265 () (not (= tptp.sk1 tptp.sk1))) % 0.33/0.61 (define @t266 () (or @t223 @t265 @t166 @t253 @t165 @t252 @t158 @t237 @t229)) % 0.33/0.61 (define @t267 () (not (= @t159 @t161))) % 0.33/0.61 (define @t268 () (@list @t159)) % 0.33/0.61 (define @t269 () (or @t167 @t168 @t167 @t166 @t253 @t165 @t267 @t158 @t237 @t229)) % 0.33/0.61 (define @t270 () (or @t168 @t167 @t166 @t253 @t165 @t267 @t158 @t237 @t229)) % 0.33/0.61 (define @t271 () (forall @t268 @t270)) % 0.33/0.61 (define @t272 () (forall @t260 @t271)) % 0.33/0.61 (define @t273 () (forall (@list @t160 @t155 @t152 @t159) @t270)) % 0.33/0.61 (define @t274 () (forall @t170 @t270)) % 0.33/0.61 (define @t275 () (or @t151 @t274)) % 0.33/0.61 (define @t276 () (or @t151 @t270)) % 0.33/0.61 (define @t277 () (or @t168 @t167 @t166 @t165 @t253 @t267 @t158 @t237 @t229 @t151)) % 0.33/0.61 (define @t278 () (or @t168 @t167 @t166 @t165 @t253 @t267 @t158 @t237 @t229 @t151 @t151)) % 0.33/0.61 (define @t279 () (= tptp.sk3 @t219)) % 0.33/0.61 (define @t280 () (not @t279)) % 0.33/0.61 (define @t281 () (not @t148)) % 0.33/0.61 (define @t282 () (and @t148 @t221)) % 0.33/0.61 (define @t283 () (not @t211)) % 0.33/0.61 (define @t284 () (or @t206 @t205 @t279 @t283)) % 0.33/0.61 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.33/0.61 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.33/0.61 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.33/0.61 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.33/0.61 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.33/0.61 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.33/0.61 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.33/0.61 (assume @p8 @t1) % 0.33/0.61 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.33/0.61 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.33/0.61 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.33/0.61 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.33/0.61 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.33/0.61 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.33/0.61 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.33/0.61 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.33/0.61 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.33/0.61 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.33/0.61 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.33/0.61 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.33/0.61 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.33/0.61 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.33/0.61 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.33/0.61 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.33/0.61 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.33/0.61 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.33/0.61 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.33/0.61 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.33/0.61 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.33/0.61 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.33/0.61 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.33/0.61 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.33/0.61 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.33/0.61 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.33/0.61 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.33/0.61 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.33/0.61 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.33/0.61 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.33/0.61 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.33/0.61 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.33/0.61 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.33/0.61 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.33/0.61 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.33/0.61 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.33/0.61 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.33/0.61 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.33/0.61 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.33/0.61 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.33/0.61 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.33/0.61 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.33/0.61 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.33/0.61 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.33/0.61 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.33/0.61 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.33/0.61 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.33/0.61 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.33/0.61 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.33/0.61 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.33/0.61 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.33/0.61 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.33/0.61 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.33/0.61 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.33/0.61 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.33/0.61 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.33/0.61 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.33/0.61 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.33/0.61 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.33/0.61 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.33/0.61 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.33/0.61 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.33/0.61 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.33/0.61 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.33/0.61 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.33/0.61 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.33/0.61 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 0.33/0.61 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 0.33/0.61 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 0.33/0.61 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 0.33/0.61 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 0.33/0.61 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 0.33/0.61 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 0.33/0.61 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 0.33/0.61 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 0.33/0.61 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 0.33/0.61 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 0.33/0.61 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 0.33/0.61 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 0.33/0.61 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 0.33/0.61 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 0.33/0.61 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 0.33/0.61 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 0.33/0.61 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 0.33/0.61 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 0.33/0.61 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 0.33/0.61 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 0.33/0.61 (assume @p96 (forall @t41 (or (not (= @t60 tptp.nil)) @t46 @t59))) % 0.33/0.61 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 0.33/0.61 (assume @p98 @t70) % 0.33/0.61 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.33/0.61 (assume @p100 (forall @t41 (or @t46 @t71 @t68 @t67))) % 0.33/0.61 (assume @p101 (forall @t41 (or @t74 @t71 @t46 @t72))) % 0.33/0.61 (assume @p102 @t77) % 0.33/0.61 (assume @p103 (forall @t41 (or @t79 @t71 @t46 @t78))) % 0.33/0.61 (assume @p104 (forall @t41 (or @t74 @t46 @t71 @t80))) % 0.33/0.61 (assume @p105 (forall @t41 (or @t82 @t71 @t46 @t81))) % 0.33/0.61 (assume @p106 (forall @t41 (or @t84 @t46 @t71 @t83))) % 0.33/0.61 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 0.33/0.61 (assume @p108 (forall @t41 (or @t79 (not @t80) @t46 @t71))) % 0.33/0.61 (assume @p109 (forall @t41 (or @t86 @t74 @t71 @t46))) % 0.33/0.61 (assume @p110 (forall @t41 (or @t55 @t47 @t71 (tptp.strictorderedP @t87)))) % 0.33/0.61 (assume @p111 (forall @t41 (or @t55 @t47 @t71 (tptp.totalorderedP @t87)))) % 0.33/0.61 (assume @p112 (forall @t41 (or @t74 (not @t78) @t46 @t71))) % 0.33/0.61 (assume @p113 @t90) % 0.33/0.61 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 0.33/0.61 (assume @p115 (forall @t41 (or @t86 @t88 @t71 @t46))) % 0.33/0.61 (assume @p116 (forall @t41 (or @t93 @t59 @t47 @t51))) % 0.33/0.61 (assume @p117 (forall @t41 (or @t93 @t59 @t47 @t94))) % 0.33/0.61 (assume @p118 @t97) % 0.33/0.61 (assume @p119 (forall @t41 (or @t84 @t71 @t46 @t73 @t85))) % 0.33/0.61 (assume @p120 (forall @t41 (or @t47 @t59 @t94 (= (tptp.hd @t58) @t98)))) % 0.33/0.61 (assume @p121 (forall @t41 (or @t101 @t59 @t46 @t99 @t94))) % 0.33/0.61 (assume @p122 (forall @t41 (or @t104 @t59 @t46 @t102 @t94))) % 0.33/0.61 (assume @p123 (forall @t41 (or @t82 (not @t83) @t46 @t71 @t67))) % 0.33/0.61 (assume @p124 (forall @t41 (or @t105 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t67))) % 0.33/0.61 (assume @p125 (forall @t41 (or @t106 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t67))) % 0.33/0.61 (assume @p126 (forall @t41 (or @t107 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t67))) % 0.33/0.61 (assume @p127 (forall @t41 (or @t84 @t108 @t46 @t71 @t67))) % 0.33/0.61 (assume @p128 (forall @t41 (or @t106 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.33/0.61 (assume @p129 (forall @t41 (or @t107 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.33/0.61 (assume @p130 (forall @t41 (or @t47 @t59 @t94 (= (tptp.tl @t58) (tptp.app @t109 @t2))))) % 0.33/0.61 (assume @p131 (forall @t41 (or @t101 @t59 @t46 @t110 @t94))) % 0.33/0.61 (assume @p132 (forall @t41 (or @t104 @t59 @t46 @t111 @t94))) % 0.33/0.61 (assume @p133 (forall @t115 (or @t106 @t114 @t59 @t47 (tptp.rearsegP @t113 @t40)))) % 0.33/0.61 (assume @p134 (forall @t115 (or @t107 @t114 @t59 @t47 (tptp.frontsegP @t116 @t40)))) % 0.33/0.61 (assume @p135 (forall @t115 (or @t86 @t114 @t71 @t46 (tptp.memberP @t117 @t2)))) % 0.33/0.61 (assume @p136 (forall @t115 (or @t120 @t47 @t119 @t71 (tptp.memberP @t118 @t40)))) % 0.33/0.61 (assume @p137 (forall @t115 (or @t120 @t114 @t47 @t71 (tptp.memberP @t116 @t40)))) % 0.33/0.61 (assume @p138 (forall @t115 (or @t120 @t47 @t114 @t71 (tptp.memberP @t113 @t40)))) % 0.33/0.61 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.33/0.61 (assume @p140 (forall @t115 (or @t121 @t47 @t59 @t114 (tptp.rearsegP @t112 @t40)))) % 0.33/0.61 (assume @p141 (forall @t115 (or @t121 @t59 @t47 @t114 (tptp.frontsegP @t112 @t2)))) % 0.33/0.61 (assume @p142 (forall @t41 (or @t55 (not @t94) @t59 @t47 @t92))) % 0.33/0.61 (assume @p143 (forall @t115 (or @t79 (not (tptp.gt @t40 @t112)) @t119 @t71 @t46 (tptp.gt @t2 @t112)))) % 0.33/0.61 (assume @p144 (forall @t115 (or @t84 @t123 @t119 @t71 @t46 @t122))) % 0.33/0.61 (assume @p145 (forall @t115 (or @t82 (not (tptp.geq @t40 @t112)) @t119 @t71 @t46 (tptp.geq @t2 @t112)))) % 0.33/0.61 (assume @p146 (forall @t115 (or @t47 @t59 @t114 (= (tptp.app @t124 @t2) (tptp.app @t112 @t58))))) % 0.33/0.61 (assume @p147 (forall @t115 (or (not (= @t91 @t116)) @t59 @t47 @t114 @t125))) % 0.33/0.61 (assume @p148 (forall @t115 (or (not (= @t91 @t124)) @t47 @t59 @t114 @t126))) % 0.33/0.61 (assume @p149 (forall @t115 (or @t105 (not (tptp.segmentP @t40 @t112)) @t114 @t59 @t47 (tptp.segmentP @t2 @t112)))) % 0.33/0.61 (assume @p150 (forall @t115 (or @t106 (not (tptp.rearsegP @t40 @t112)) @t114 @t59 @t47 (tptp.rearsegP @t2 @t112)))) % 0.33/0.61 (assume @p151 (forall @t115 (or @t107 (not (tptp.frontsegP @t40 @t112)) @t114 @t59 @t47 (tptp.frontsegP @t2 @t112)))) % 0.33/0.61 (assume @p152 (forall @t115 (or @t74 @t123 @t119 @t71 @t46 @t122))) % 0.33/0.61 (assume @p153 (forall @t115 (or @t84 (not (tptp.leq @t40 @t112)) @t119 @t71 @t46 (tptp.leq @t2 @t112)))) % 0.33/0.61 (assume @p154 (forall @t115 (or @t46 @t59 @t114 (= (tptp.cons @t2 (tptp.app @t40 @t112)) (tptp.app @t60 @t112))))) % 0.33/0.61 (assume @p155 (forall @t115 (or (not (tptp.memberP @t91 @t112)) @t59 @t47 @t119 @t127 (tptp.memberP @t2 @t112)))) % 0.33/0.61 (assume @p156 (forall @t41 (or (not @t111) (not @t102) @t59 @t46 @t103 @t94))) % 0.33/0.61 (assume @p157 (forall @t41 (or (not @t110) (not @t99) @t59 @t46 @t100 @t94))) % 0.33/0.61 (assume @p158 (forall @t115 (or (not (tptp.memberP @t60 @t112)) @t59 @t46 @t119 @t127 (= @t112 @t2)))) % 0.33/0.61 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.33/0.61 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.33/0.61 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.33/0.61 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.33/0.61 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.33/0.61 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.33/0.61 (assume @p165 (forall @t41 (or @t105 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.33/0.61 (assume @p166 (forall @t41 (or @t120 @t71 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.33/0.61 (assume @p167 (forall @t132 (or @t131 @t119 @t46 @t129 @t59 @t126))) % 0.33/0.61 (assume @p168 (forall @t132 (or @t131 @t119 @t46 @t129 @t59 (= @t128 @t40)))) % 0.33/0.61 (assume @p169 (forall @t132 (or @t105 @t114 @t129 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t128 @t2) @t112) @t40)))) % 0.33/0.61 (assume @p170 (forall @t132 (or (not (= (tptp.app @t91 @t112) @t128)) @t114 @t47 @t59 @t129 (tptp.segmentP @t128 @t40)))) % 0.33/0.61 (assume @p171 (forall @t132 (or @t133 @t129 @t59 @t119 @t46 (tptp.frontsegP @t40 @t128)))) % 0.33/0.61 (assume @p172 (forall @t132 (or (not (= @t134 @t128)) @t114 @t47 @t71 @t129 (tptp.memberP @t128 @t40)))) % 0.33/0.61 (assume @p173 (forall @t132 (or @t133 @t129 @t59 @t119 @t46 @t126))) % 0.33/0.61 (assume @p174 (forall @t41 (or (not (= @t52 @t109)) (not (= @t53 @t98)) @t47 @t59 @t94 @t85 @t51))) % 0.33/0.61 (assume @p175 (forall @t132 (or @t107 (not (= @t112 @t128)) @t59 @t47 @t135 @t119 (tptp.frontsegP @t118 (tptp.cons @t128 @t40))))) % 0.33/0.61 (assume @p176 (forall @t138 (or (not (= (tptp.app @t134 (tptp.cons @t40 @t128)) @t136)) @t129 @t114 @t47 @t71 (not (tptp.duplicatefreeP @t136)) @t137))) % 0.33/0.61 (assume @p177 (forall @t138 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t130)) @t136)) @t129 @t47 @t119 @t71 (not (tptp.equalelemsP @t136)) @t137 @t125))) % 0.33/0.61 (assume @p178 (forall @t143 (or @t142 @t137 @t114 @t47 @t135 @t71 (not (tptp.strictorderedP @t140)) @t141 @t139))) % 0.33/0.61 (assume @p179 (forall @t143 (or @t142 @t137 @t114 @t47 @t135 @t71 (not (tptp.totalorderedP @t140)) @t141 @t144))) % 0.33/0.61 (assume @p180 (forall @t143 (or @t142 @t137 @t114 @t47 @t135 @t71 (not (tptp.strictorderP @t140)) @t141 @t139 (tptp.lt @t128 @t40)))) % 0.33/0.61 (assume @p181 (forall @t143 (or @t142 @t137 @t114 @t47 @t135 @t71 (not (tptp.totalorderP @t140)) @t141 @t144 (tptp.leq @t128 @t40)))) % 0.33/0.61 (assume @p182 (forall @t143 (or @t84 @t108 (not (= (tptp.app (tptp.app @t112 (tptp.cons @t2 @t128)) (tptp.cons @t40 @t136)) @t140)) @t137 @t129 @t114 @t71 @t46 (not (tptp.cyclefreeP @t140)) @t141))) % 0.33/0.61 (assume @p183 @t145) % 0.33/0.61 (assume @p184 @t146) % 0.33/0.61 (assume @p185 (tptp.ssList tptp.sk3)) % 0.33/0.61 (assume @p186 (tptp.ssList tptp.sk4)) % 0.33/0.61 (assume @p187 @t147) % 0.33/0.61 (assume @p188 @t148) % 0.33/0.61 (assume @p189 @t149) % 0.33/0.61 (assume @p190 @t171) % 0.33/0.61 (assume @p191 @t178) % 0.33/0.61 (assume @p192 (or (= tptp.nil tptp.sk3) (not (= tptp.nil tptp.sk4)))) % 0.33/0.61 (step @p193 :rule instantiate :premises (@p75) :args (@t179)) % 0.33/0.61 (step @p194 :rule aci_norm :args ((= (or false @t180 @t59 @t59) (or @t180 @t59)))) % 0.33/0.61 (step @p195 :rule refl :args (@t59)) % 0.33/0.61 (step @p196 :rule refl :args (@t180)) % 0.33/0.61 (step @p197 :rule evaluate :args ((not true))) % 0.33/0.61 (step @p198 :rule eq-refl :args (@t40)) % 0.33/0.61 (step @p199 :rule cong :premises (@p198) :args (@t181)) % 0.33/0.61 (step @p200 :rule trans :premises (@p199 @p197)) % 0.33/0.61 (step @p201 :rule nary_cong :premises (@p200 @p196 @p195 @p195) :args (@t182)) % 0.33/0.61 (step @p202 :rule trans :premises (@p201 @p194)) % 0.33/0.61 (step @p203 :rule cong :premises (@p202) :args ((forall @t183 @t182))) % 0.33/0.61 (step @p204 :rule quant-var-elim-eq :args ((= (forall @t4 @t184) @t182))) % 0.33/0.61 (step @p205 :rule aci_norm :args ((= @t89 @t184))) % 0.33/0.61 (step @p206 :rule cong :premises (@p205) :args (@t185)) % 0.33/0.61 (step @p207 :rule trans :premises (@p206 @p204)) % 0.33/0.61 (step @p208 :rule cong :premises (@p207) :args (@t186)) % 0.33/0.61 (step @p209 :rule quant-merge-prenex :args ((= @t186 @t187))) % 0.33/0.61 (step @p210 :rule symm :premises (@p209)) % 0.33/0.61 (step @p211 :rule quant_var_reordering :args ((= @t90 @t187))) % 0.33/0.61 (step @p212 :rule trans :premises (@p211 @p210 @p208)) % 0.33/0.61 (step @p213 :rule trans :premises (@p212 @p203)) % 0.33/0.61 (step @p214 :rule eq_resolve :premises (@p113 @p213)) % 0.33/0.61 (step @p215 :rule instantiate :premises (@p214) :args (@t179)) % 0.33/0.61 (step @p216 :rule cnf_or_pos :args (@t191)) % 0.33/0.61 (step @p217 :rule reordering :premises (@p216) :args ((or @t188 @t190 (not @t191)))) % 0.33/0.61 (step @p218 :rule chain_m_resolution :premises (@p217 @p184 @p215) :args (@t190 (@list false false) (@list @t146 @t191))) % 0.33/0.61 (step @p219 :rule bool-double-not-elim :args (@t189)) % 0.33/0.61 (step @p220 :rule refl :args (@t193)) % 0.33/0.61 (step @p221 :rule refl :args (@t194)) % 0.33/0.61 (step @p222 :rule nary_cong :premises (@p221 @p220 @p219) :args ((or @t194 @t193 (not @t190)))) % 0.33/0.61 (assume-push @p493 @t149) % 0.33/0.61 (assume-push @p494 @t192) % 0.33/0.61 (assume-push @p495 @t190) % 0.33/0.61 (step @p226 :rule evaluate :args ((= false true))) % 0.33/0.61 (step @p227 :rule true_intro :premises (@p189)) % 0.33/0.61 (step @p228 :rule symm :premises (@p494)) % 0.33/0.61 (step @p229 :rule refl :args (tptp.sk2)) % 0.33/0.61 (step @p230 :rule cong :premises (@p229 @p228) :args (@t189)) % 0.33/0.61 (step @p231 :rule false_intro :premises (@p218)) % 0.33/0.61 (step @p232 :rule symm :premises (@p231)) % 0.33/0.61 (step @p233 :rule trans :premises (@p232 @p230 @p227)) % 0.33/0.61 (step @p234 false :rule eq_resolve :premises (@p233 @p226)) % 0.33/0.61 (step-pop @p496 :rule scope :premises (@p234)) % 0.33/0.61 (step-pop @p497 :rule scope :premises (@p496)) % 0.33/0.61 (step-pop @p498 :rule scope :premises (@p497)) % 0.33/0.61 (step @p235 :rule process_scope :premises (@p498) :args (false)) % 0.33/0.61 (step @p239 :rule not_and :premises (@p235)) % 0.33/0.61 (step @p240 :rule eq_resolve :premises (@p239 @p222)) % 0.33/0.61 (step @p241 :rule reordering :premises (@p240) :args ((or @t194 @t189 @t193))) % 0.33/0.61 (step @p242 :rule chain_m_resolution :premises (@p241 @p189 @p218) :args (@t193 (@list false true) (@list @t149 @t189))) % 0.33/0.61 (step @p243 :rule cnf_or_pos :args (@t196)) % 0.33/0.61 (step @p244 :rule reordering :premises (@p243) :args ((or @t195 @t188 @t192 (not @t196)))) % 0.33/0.61 (step @p245 :rule chain_m_resolution :premises (@p244 @p184 @p242 @p193) :args (@t195 @t197 (@list @t146 @t192 @t196))) % 0.33/0.61 (step @p246 :rule instantiate :premises (@p76) :args (@t179)) % 0.33/0.61 (step @p247 :rule cnf_or_pos :args (@t199)) % 0.33/0.61 (step @p248 :rule reordering :premises (@p247) :args ((or @t198 @t188 @t192 (not @t199)))) % 0.33/0.61 (step @p249 :rule chain_m_resolution :premises (@p248 @p184 @p242 @p246) :args (@t198 @t197 (@list @t146 @t192 @t199))) % 0.33/0.61 (step @p250 :rule eq-symm :args (@t173 tptp.sk4)) % 0.33/0.61 (step @p251 :rule cong :premises (@p250) :args (@t174)) % 0.33/0.61 (step @p252 :rule eq-symm :args (@t175 tptp.sk3)) % 0.33/0.61 (step @p253 :rule refl :args (@t166)) % 0.33/0.61 (step @p254 :rule refl :args (@t176)) % 0.33/0.61 (step @p255 :rule nary_cong :premises (@p254 @p253 @p252 @p251) :args (@t177)) % 0.33/0.61 (step @p256 :rule cong :premises (@p255) :args (@t178)) % 0.33/0.61 (step @p257 :rule eq_resolve :premises (@p191 @p256)) % 0.33/0.61 (step @p258 :rule instantiate :premises (@p257) :args (@t200)) % 0.33/0.61 (step @p259 :rule eq-symm :args (@t95 @t60)) % 0.33/0.61 (step @p260 :rule refl :args (@t46)) % 0.33/0.61 (step @p261 :rule nary_cong :premises (@p260 @p195 @p259) :args (@t96)) % 0.33/0.61 (step @p262 :rule cong :premises (@p261) :args (@t97)) % 0.33/0.61 (step @p263 :rule eq_resolve :premises (@p118 @p262)) % 0.33/0.61 (step @p264 :rule instantiate :premises (@p263) :args (@t200)) % 0.33/0.61 (step @p265 :rule cnf_or_pos :args (@t207)) % 0.33/0.61 (step @p266 :rule reordering :premises (@p265) :args ((or @t205 @t206 @t204 (not @t207)))) % 0.33/0.61 (step @p267 :rule chain_m_resolution :premises (@p266 @p245 @p249 @p264) :args (@t204 @t208 (@list @t195 @t198 @t207))) % 0.33/0.61 (step @p268 :rule refl :args (@t51)) % 0.33/0.61 (step @p269 :rule eq-symm :args (@t75 @t2)) % 0.33/0.61 (step @p270 :rule refl :args (@t47)) % 0.33/0.61 (step @p271 :rule nary_cong :premises (@p270 @p269 @p268) :args (@t76)) % 0.33/0.61 (step @p272 :rule cong :premises (@p271) :args (@t77)) % 0.33/0.61 (step @p273 :rule eq_resolve :premises (@p102 @p272)) % 0.33/0.61 (step @p274 :rule instantiate :premises (@p273) :args (@t179)) % 0.33/0.61 (step @p275 :rule cnf_or_pos :args (@t210)) % 0.33/0.61 (step @p276 :rule reordering :premises (@p275) :args ((or @t188 @t192 @t209 (not @t210)))) % 0.33/0.61 (step @p277 :rule chain_m_resolution :premises (@p276 @p184 @p242 @p274) :args (@t209 @t197 (@list @t146 @t192 @t210))) % 0.33/0.61 (assume-push @p499 @t147) % 0.33/0.61 (assume-push @p500 @t209) % 0.33/0.61 (assume-push @p501 @t204) % 0.33/0.61 (assume-push @p502 @t204) % 0.33/0.61 (assume-push @p503 @t209) % 0.33/0.61 (assume-push @p504 @t147) % 0.33/0.61 (step @p284 :rule symm :premises (@p187)) % 0.33/0.61 (step @p285 :rule trans :premises (@p284 @p500 @p501)) % 0.33/0.61 (step-pop @p505 :rule scope :premises (@p285)) % 0.33/0.61 (step-pop @p506 :rule scope :premises (@p505)) % 0.33/0.61 (step-pop @p507 :rule scope :premises (@p506)) % 0.33/0.61 (step @p286 :rule process_scope :premises (@p507) :args (@t211)) % 0.33/0.61 (step @p290 :rule and_intro :premises (@p501 @p500 @p187)) % 0.33/0.61 (step @p291 :rule modus_ponens :premises (@p290 @p286)) % 0.33/0.61 (step-pop @p508 :rule scope :premises (@p291)) % 0.33/0.61 (step-pop @p509 :rule scope :premises (@p508)) % 0.33/0.61 (step-pop @p510 :rule scope :premises (@p509)) % 0.33/0.61 (step @p292 :rule process_scope :premises (@p510) :args (@t211)) % 0.33/0.61 (step @p296 :rule implies_elim :premises (@p292)) % 0.33/0.61 (step @p297 :rule cnf_and_neg :args (@t212)) % 0.33/0.61 (step @p298 :rule resolution :premises (@p297 @p296) :args (true @t212)) % 0.33/0.61 (step @p299 :rule reordering :premises (@p298) :args ((or (not @t147) (not @t209) @t211 (not @t204)))) % 0.33/0.61 (step @p300 :rule chain_m_resolution :premises (@p299 @p187 @p277 @p267) :args (@t211 @t208 (@list @t147 @t209 @t204))) % 0.33/0.61 (step @p301 :rule instantiate :premises (@p84) :args ((@list @t153 tptp.nil))) % 0.33/0.61 (step @p302 :rule cnf_or_pos :args (@t215)) % 0.33/0.61 (step @p303 :rule reordering :premises (@p302) :args ((or @t214 @t213 @t206 (not @t215)))) % 0.33/0.61 (step @p304 :rule chain_m_resolution :premises (@p303 @p8 @p249 @p301) :args (@t213 @t208 (@list @t1 @t198 @t215))) % 0.33/0.61 (step @p305 :rule eq-symm :args (@t40 @t2)) % 0.33/0.61 (step @p306 :rule refl :args (@t68)) % 0.33/0.61 (step @p307 :rule nary_cong :premises (@p270 @p195 @p306 @p305) :args (@t69)) % 0.33/0.61 (step @p308 :rule cong :premises (@p307) :args (@t70)) % 0.33/0.61 (step @p309 :rule eq_resolve :premises (@p98 @p308)) % 0.33/0.61 (step @p310 :rule eq-symm :args (tptp.sk2 tptp.nil)) % 0.33/0.61 (step @p311 :rule refl :args (@t150)) % 0.33/0.61 (step @p312 :rule refl :args (@t214)) % 0.33/0.61 (step @p313 :rule refl :args (@t188)) % 0.33/0.61 (step @p314 :rule nary_cong :premises (@p313 @p312 @p311 @p310) :args (@t216)) % 0.33/0.61 (step @p315 :rule refl :args (@t217)) % 0.33/0.61 (step @p316 :rule cong :premises (@p315 @p314) :args ((=> @t217 @t216))) % 0.33/0.61 (assume-push @p511 @t217) % 0.33/0.61 (step @p318 :rule instantiate :premises (@p309) :args ((@list tptp.sk2 tptp.nil))) % 0.33/0.61 (step-pop @p512 :rule scope :premises (@p318)) % 0.33/0.61 (step @p319 :rule process_scope :premises (@p512) :args (@t216)) % 0.33/0.61 (step @p321 :rule eq_resolve :premises (@p319 @p316)) % 0.33/0.61 (step @p322 :rule implies_elim :premises (@p321)) % 0.33/0.61 (step @p323 :rule chain_m_resolution :premises (@p322 @p309) :args (@t218 (@list false) (@list @t217))) % 0.33/0.61 (step @p324 :rule cnf_or_pos :args (@t218)) % 0.33/0.61 (step @p325 :rule reordering :premises (@p324) :args ((or @t150 @t214 @t188 @t192 (not @t218)))) % 0.33/0.61 (step @p326 :rule chain_m_resolution :premises (@p325 @p8 @p184 @p242 @p323) :args (@t150 (@list false false true false) (@list @t1 @t146 @t192 @t218))) % 0.33/0.61 (step @p327 :rule aci_norm :args ((= (or @t151 @t224) (or @t151 @t223 @t205 @t222 @t221 @t206)))) % 0.33/0.61 (step @p328 :rule aci_norm :args ((= (or @t223 @t225) @t224))) % 0.33/0.61 (step @p329 :rule aci_norm :args ((= (or @t205 @t226) @t225))) % 0.33/0.61 (step @p330 :rule aci_norm :args ((= (or @t222 @t221 @t206 false) @t226))) % 0.33/0.61 (step @p331 :rule eq-refl :args (@t153)) % 0.33/0.61 (step @p332 :rule cong :premises (@p331) :args (@t227)) % 0.33/0.61 (step @p333 :rule trans :premises (@p332 @p197)) % 0.33/0.61 (step @p334 :rule refl :args (@t206)) % 0.33/0.61 (step @p335 :rule refl :args (@t221)) % 0.33/0.61 (step @p336 :rule refl :args (@t222)) % 0.33/0.61 (step @p337 :rule nary_cong :premises (@p336 @p335 @p334 @p333) :args (@t228)) % 0.33/0.61 (step @p338 :rule trans :premises (@p337 @p330)) % 0.33/0.61 (step @p339 :rule quant-var-elim-eq :args ((= (forall @t233 @t232) @t228))) % 0.33/0.61 (step @p340 :rule aci_norm :args ((= @t234 @t232))) % 0.33/0.61 (step @p341 :rule cong :premises (@p340) :args ((forall @t233 @t234))) % 0.33/0.61 (step @p342 :rule trans :premises (@p341 @p339)) % 0.33/0.61 (step @p343 :rule trans :premises (@p342 @p338)) % 0.33/0.61 (step @p344 :rule aci_norm :args ((= (or @t231 @t230 @t158 false @t229) @t234))) % 0.33/0.61 (step @p345 :rule refl :args (@t229)) % 0.33/0.61 (step @p346 :rule eq-refl :args (@t156)) % 0.33/0.61 (step @p347 :rule cong :premises (@p346) :args (@t235)) % 0.33/0.61 (step @p348 :rule trans :premises (@p347 @p197)) % 0.33/0.61 (step @p349 :rule refl :args (@t158)) % 0.33/0.61 (step @p350 :rule refl :args (@t230)) % 0.33/0.61 (step @p351 :rule refl :args (@t231)) % 0.33/0.61 (step @p352 :rule nary_cong :premises (@p351 @p350 @p349 @p348 @p345) :args (@t236)) % 0.33/0.61 (step @p353 :rule trans :premises (@p352 @p344)) % 0.33/0.61 (step @p354 :rule cong :premises (@p353) :args ((forall @t233 @t236))) % 0.33/0.61 (step @p355 :rule trans :premises (@p354 @p343)) % 0.33/0.61 (step @p356 :rule quant-var-elim-eq :args ((= (forall @t240 @t239) @t236))) % 0.33/0.61 (step @p357 :rule aci_norm :args ((= @t241 @t239))) % 0.33/0.61 (step @p358 :rule cong :premises (@p357) :args (@t242)) % 0.33/0.61 (step @p359 :rule trans :premises (@p358 @p356)) % 0.33/0.61 (step @p360 :rule cong :premises (@p359) :args (@t243)) % 0.33/0.61 (step @p361 :rule quant-merge-prenex :args ((= @t243 @t244))) % 0.33/0.61 (step @p362 :rule symm :premises (@p361)) % 0.33/0.61 (step @p363 :rule quant_var_reordering :args ((= @t246 @t244))) % 0.33/0.61 (step @p364 :rule trans :premises (@p363 @p362 @p360)) % 0.33/0.61 (step @p365 :rule trans :premises (@p364 @p355)) % 0.33/0.61 (step @p366 :rule refl :args (@t205)) % 0.33/0.61 (step @p367 :rule nary_cong :premises (@p366 @p365) :args (@t247)) % 0.33/0.61 (step @p368 :rule trans :premises (@p367 @p329)) % 0.33/0.61 (step @p369 :rule quant-miniscope-or :args ((= (forall @t245 @t248) @t247))) % 0.33/0.61 (step @p370 :rule aci_norm :args ((= @t249 @t248))) % 0.33/0.61 (step @p371 :rule cong :premises (@p370) :args ((forall @t245 @t249))) % 0.33/0.61 (step @p372 :rule trans :premises (@p371 @p369)) % 0.33/0.61 (step @p373 :rule trans :premises (@p372 @p368)) % 0.33/0.61 (step @p374 :rule aci_norm :args ((= (or @t205 false @t165 @t238 @t158 @t237 @t229) @t249))) % 0.33/0.61 (step @p375 :rule refl :args (@t237)) % 0.33/0.61 (step @p376 :rule refl :args (@t238)) % 0.33/0.61 (step @p377 :rule refl :args (@t165)) % 0.33/0.61 (step @p378 :rule eq-refl :args (@t163)) % 0.33/0.61 (step @p379 :rule cong :premises (@p378) :args (@t250)) % 0.33/0.61 (step @p380 :rule trans :premises (@p379 @p197)) % 0.33/0.61 (step @p381 :rule nary_cong :premises (@p366 @p380 @p377 @p376 @p349 @p375 @p345) :args (@t251)) % 0.33/0.61 (step @p382 :rule trans :premises (@p381 @p374)) % 0.33/0.61 (step @p383 :rule cong :premises (@p382) :args ((forall @t245 @t251))) % 0.33/0.61 (step @p384 :rule trans :premises (@p383 @p373)) % 0.33/0.61 (step @p385 :rule quant-var-elim-eq :args ((= (forall @t255 @t254) @t251))) % 0.33/0.61 (step @p386 :rule aci_norm :args ((= @t256 @t254))) % 0.33/0.61 (step @p387 :rule cong :premises (@p386) :args (@t257)) % 0.33/0.61 (step @p388 :rule trans :premises (@p387 @p385)) % 0.33/0.61 (step @p389 :rule cong :premises (@p388) :args (@t258)) % 0.33/0.61 (step @p390 :rule quant-merge-prenex :args ((= @t258 @t259))) % 0.33/0.61 (step @p391 :rule symm :premises (@p390)) % 0.33/0.61 (step @p392 :rule quant_var_reordering :args ((= @t261 @t259))) % 0.33/0.61 (step @p393 :rule trans :premises (@p392 @p391 @p389)) % 0.33/0.61 (step @p394 :rule trans :premises (@p393 @p384)) % 0.33/0.61 (step @p395 :rule refl :args (@t223)) % 0.33/0.61 (step @p396 :rule nary_cong :premises (@p395 @p394) :args (@t262)) % 0.33/0.61 (step @p397 :rule trans :premises (@p396 @p328)) % 0.33/0.61 (step @p398 :rule quant-miniscope-or :args ((= (forall @t260 @t263) @t262))) % 0.33/0.61 (step @p399 :rule aci_norm :args ((= @t264 @t263))) % 0.33/0.61 (step @p400 :rule cong :premises (@p399) :args ((forall @t260 @t264))) % 0.33/0.61 (step @p401 :rule trans :premises (@p400 @p398)) % 0.33/0.61 (step @p402 :rule trans :premises (@p401 @p397)) % 0.33/0.61 (step @p403 :rule aci_norm :args ((= (or @t223 false @t166 @t253 @t165 @t252 @t158 @t237 @t229) @t264))) % 0.33/0.61 (step @p404 :rule refl :args (@t252)) % 0.33/0.61 (step @p405 :rule refl :args (@t253)) % 0.33/0.61 (step @p406 :rule eq-refl :args (tptp.sk1)) % 0.33/0.61 (step @p407 :rule cong :premises (@p406) :args (@t265)) % 0.33/0.61 (step @p408 :rule trans :premises (@p407 @p197)) % 0.33/0.61 (step @p409 :rule nary_cong :premises (@p395 @p408 @p253 @p405 @p377 @p404 @p349 @p375 @p345) :args (@t266)) % 0.33/0.61 (step @p410 :rule trans :premises (@p409 @p403)) % 0.33/0.61 (step @p411 :rule cong :premises (@p410) :args ((forall @t260 @t266))) % 0.33/0.61 (step @p412 :rule trans :premises (@p411 @p402)) % 0.33/0.61 (step @p413 :rule quant-var-elim-eq :args ((= (forall @t268 (or (not (= @t159 tptp.sk1)) @t168 @t167 @t166 @t253 @t165 @t267 @t158 @t237 @t229)) @t266))) % 0.33/0.61 (step @p414 :rule refl :args (@t229)) % 0.33/0.61 (step @p415 :rule refl :args (@t237)) % 0.33/0.61 (step @p416 :rule refl :args (@t158)) % 0.33/0.61 (step @p417 :rule refl :args (@t267)) % 0.33/0.61 (step @p418 :rule refl :args (@t165)) % 0.33/0.61 (step @p419 :rule refl :args (@t253)) % 0.33/0.61 (step @p420 :rule refl :args (@t166)) % 0.33/0.61 (step @p421 :rule refl :args (@t167)) % 0.33/0.61 (step @p422 :rule refl :args (@t168)) % 0.33/0.61 (step @p423 :rule eq-symm :args (tptp.sk1 @t159)) % 0.33/0.61 (step @p424 :rule cong :premises (@p423) :args (@t167)) % 0.33/0.61 (step @p425 :rule nary_cong :premises (@p424 @p422 @p421 @p420 @p419 @p418 @p417 @p416 @p415 @p414) :args (@t269)) % 0.33/0.61 (step @p426 :rule aci_norm :args ((= @t270 @t269))) % 0.33/0.61 (step @p427 :rule trans :premises (@p426 @p425)) % 0.33/0.61 (step @p428 :rule cong :premises (@p427) :args (@t271)) % 0.33/0.61 (step @p429 :rule trans :premises (@p428 @p413)) % 0.33/0.61 (step @p430 :rule cong :premises (@p429) :args (@t272)) % 0.33/0.61 (step @p431 :rule quant-merge-prenex :args ((= @t272 @t273))) % 0.33/0.61 (step @p432 :rule symm :premises (@p431)) % 0.33/0.61 (step @p433 :rule quant_var_reordering :args ((= @t274 @t273))) % 0.33/0.61 (step @p434 :rule trans :premises (@p433 @p432 @p430)) % 0.33/0.61 (step @p435 :rule trans :premises (@p434 @p412)) % 0.33/0.61 (step @p436 :rule refl :args (@t151)) % 0.33/0.61 (step @p437 :rule nary_cong :premises (@p436 @p435) :args (@t275)) % 0.33/0.61 (step @p438 :rule trans :premises (@p437 @p327)) % 0.33/0.61 (step @p439 :rule quant-miniscope-or :args ((= (forall @t170 @t276) @t275))) % 0.33/0.61 (step @p440 :rule aci_norm :args ((= @t277 @t276))) % 0.33/0.61 (step @p441 :rule cong :premises (@p440) :args ((forall @t170 @t277))) % 0.33/0.61 (step @p442 :rule trans :premises (@p441 @p439)) % 0.33/0.61 (step @p443 :rule trans :premises (@p442 @p438)) % 0.33/0.61 (step @p444 :rule aci_norm :args ((= @t278 @t277))) % 0.33/0.61 (step @p445 :rule cong :premises (@p444) :args ((forall @t170 @t278))) % 0.33/0.61 (step @p446 :rule trans :premises (@p445 @p443)) % 0.33/0.61 (step @p447 :rule eq-symm :args (@t153 @t152)) % 0.33/0.61 (step @p448 :rule cong :premises (@p447) :args (@t154)) % 0.33/0.61 (step @p449 :rule eq-symm :args (@t156 @t155)) % 0.33/0.61 (step @p450 :rule cong :premises (@p449) :args (@t157)) % 0.33/0.61 (step @p451 :rule eq-symm :args (@t161 @t159)) % 0.33/0.61 (step @p452 :rule cong :premises (@p451) :args (@t162)) % 0.33/0.61 (step @p453 :rule eq-symm :args (@t163 @t160)) % 0.33/0.61 (step @p454 :rule cong :premises (@p453) :args (@t164)) % 0.33/0.61 (step @p455 :rule refl :args (@t167)) % 0.33/0.61 (step @p456 :rule refl :args (@t168)) % 0.33/0.61 (step @p457 :rule nary_cong :premises (@p456 @p455 @p253 @p377 @p454 @p452 @p349 @p450 @p448 @p436 @p436) :args (@t169)) % 0.33/0.61 (step @p458 :rule cong :premises (@p457) :args (@t171)) % 0.33/0.61 (step @p459 :rule trans :premises (@p458 @p446)) % 0.33/0.61 (step @p460 :rule eq_resolve :premises (@p190 @p459)) % 0.33/0.61 (step @p461 :rule chain_m_resolution :premises (@p460 @p326 @p183 @p245 @p304 @p249) :args (@t221 (@list false false false false false) (@list @t150 @t145 @t195 @t213 @t198))) % 0.33/0.61 (step @p462 :rule refl :args (@t280)) % 0.33/0.61 (step @p463 :rule bool-double-not-elim :args (@t220)) % 0.33/0.61 (step @p464 :rule refl :args (@t281)) % 0.33/0.61 (step @p465 :rule nary_cong :premises (@p464 @p463 @p462) :args ((or @t281 (not @t221) @t280))) % 0.33/0.61 (assume-push @p513 @t148) % 0.33/0.61 (assume-push @p514 @t221) % 0.33/0.61 (assume-push @p515 @t221) % 0.33/0.61 (assume-push @p516 @t148) % 0.33/0.61 (step @p470 :rule false_intro :premises (@p514)) % 0.33/0.61 (step @p471 :rule refl :args (@t219)) % 0.33/0.61 (step @p472 :rule symm :premises (@p188)) % 0.33/0.61 (step @p473 :rule cong :premises (@p472 @p471) :args (@t279)) % 0.33/0.61 (step @p474 :rule trans :premises (@p473 @p470)) % 0.33/0.61 (step @p475 :rule false_elim :premises (@p474)) % 0.33/0.61 (step-pop @p517 :rule scope :premises (@p475)) % 0.33/0.61 (step-pop @p518 :rule scope :premises (@p517)) % 0.33/0.61 (step @p476 :rule process_scope :premises (@p518) :args (@t280)) % 0.33/0.61 (step @p479 :rule and_intro :premises (@p514 @p188)) % 0.33/0.61 (step @p480 :rule modus_ponens :premises (@p479 @p476)) % 0.33/0.61 (step-pop @p519 :rule scope :premises (@p480)) % 0.33/0.61 (step-pop @p520 :rule scope :premises (@p519)) % 0.33/0.61 (step @p481 :rule process_scope :premises (@p520) :args (@t280)) % 0.33/0.61 (step @p484 :rule implies_elim :premises (@p481)) % 0.33/0.61 (step @p485 :rule cnf_and_neg :args (@t282)) % 0.33/0.61 (step @p486 :rule resolution :premises (@p485 @p484) :args (true @t282)) % 0.33/0.61 (step @p487 :rule eq_resolve :premises (@p486 @p465)) % 0.33/0.61 (step @p488 :rule reordering :premises (@p487) :args ((or @t220 @t281 @t280))) % 0.33/0.61 (step @p489 :rule chain_m_resolution :premises (@p488 @p461 @p188) :args (@t280 (@list true false) (@list @t220 @t148))) % 0.33/0.61 (step @p490 :rule cnf_or_pos :args (@t284)) % 0.33/0.61 (step @p491 :rule reordering :premises (@p490) :args ((or @t205 @t206 @t279 @t283 (not @t284)))) % 0.33/0.61 (step @p492 false :rule chain_m_resolution :premises (@p491 @p489 @p300 @p258 @p249 @p245) :args (false (@list true false false false false) (@list @t279 @t211 @t284 @t198 @t195))) % 0.33/0.61 ) % 0.17/0.61 % SZS output end Proof % 0.17/0.61 % cvc5 exiting %------------------------------------------------------------------------------