%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC088-1 : 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 08:58:00 AM UTC 2026 % Result : Unsatisfiable 50.70s 50.97s % Output : Proof 50.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC088-1 : 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 % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 19:14:03 EDT 2026 % 0.07/0.25 % 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... % 15.31/15.58 --- Run --no-e-matching --full-saturate-quant at 6... % 21.42/21.63 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.41/27.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.53/33.70 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 50.70/50.97 % SZS status Unsatisfiable % 50.70/50.97 % SZS output start Proof % 50.70/50.99 ( % 50.70/50.99 (declare-sort $$unsorted 0) % 50.70/50.99 (declare-const tptp.sk4 $$unsorted) % 50.70/50.99 (declare-const tptp.sk2 $$unsorted) % 50.70/50.99 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.nil $$unsorted) % 50.70/50.99 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.sk1 $$unsorted) % 50.70/50.99 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skac2 $$unsorted) % 50.70/50.99 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.sk3 $$unsorted) % 50.70/50.99 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.ssList (-> $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skac3 $$unsorted) % 50.70/50.99 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 50.70/50.99 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 50.70/50.99 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 50.70/50.99 (define @t1 () (tptp.ssList tptp.nil)) % 50.70/50.99 (define @t2 () (@var "U" $$unsorted)) % 50.70/50.99 (define @t3 () (tptp.skaf83 @t2)) % 50.70/50.99 (define @t4 () (@list @t2)) % 50.70/50.99 (define @t5 () (tptp.skaf82 @t2)) % 50.70/50.99 (define @t6 () (tptp.skaf81 @t2)) % 50.70/50.99 (define @t7 () (tptp.skaf80 @t2)) % 50.70/50.99 (define @t8 () (tptp.skaf79 @t2)) % 50.70/50.99 (define @t9 () (tptp.skaf78 @t2)) % 50.70/50.99 (define @t10 () (tptp.skaf77 @t2)) % 50.70/50.99 (define @t11 () (tptp.skaf76 @t2)) % 50.70/50.99 (define @t12 () (tptp.skaf75 @t2)) % 50.70/50.99 (define @t13 () (tptp.skaf74 @t2)) % 50.70/50.99 (define @t14 () (tptp.skaf73 @t2)) % 50.70/50.99 (define @t15 () (tptp.skaf72 @t2)) % 50.70/50.99 (define @t16 () (tptp.skaf71 @t2)) % 50.70/50.99 (define @t17 () (tptp.skaf70 @t2)) % 50.70/50.99 (define @t18 () (tptp.skaf69 @t2)) % 50.70/50.99 (define @t19 () (tptp.skaf68 @t2)) % 50.70/50.99 (define @t20 () (tptp.skaf67 @t2)) % 50.70/50.99 (define @t21 () (tptp.skaf66 @t2)) % 50.70/50.99 (define @t22 () (tptp.skaf65 @t2)) % 50.70/50.99 (define @t23 () (tptp.skaf64 @t2)) % 50.70/50.99 (define @t24 () (tptp.skaf63 @t2)) % 50.70/50.99 (define @t25 () (tptp.skaf62 @t2)) % 50.70/50.99 (define @t26 () (tptp.skaf61 @t2)) % 50.70/50.99 (define @t27 () (tptp.skaf60 @t2)) % 50.70/50.99 (define @t28 () (tptp.skaf59 @t2)) % 50.70/50.99 (define @t29 () (tptp.skaf58 @t2)) % 50.70/50.99 (define @t30 () (tptp.skaf57 @t2)) % 50.70/50.99 (define @t31 () (tptp.skaf56 @t2)) % 50.70/50.99 (define @t32 () (tptp.skaf55 @t2)) % 50.70/50.99 (define @t33 () (tptp.skaf54 @t2)) % 50.70/50.99 (define @t34 () (tptp.skaf53 @t2)) % 50.70/50.99 (define @t35 () (tptp.skaf52 @t2)) % 50.70/50.99 (define @t36 () (tptp.skaf51 @t2)) % 50.70/50.99 (define @t37 () (tptp.skaf50 @t2)) % 50.70/50.99 (define @t38 () (tptp.skaf49 @t2)) % 50.70/50.99 (define @t39 () (tptp.skaf44 @t2)) % 50.70/50.99 (define @t40 () (@var "V" $$unsorted)) % 50.70/50.99 (define @t41 () (@list @t2 @t40)) % 50.70/50.99 (define @t42 () (tptp.skaf47 @t2 @t40)) % 50.70/50.99 (define @t43 () (tptp.skaf46 @t2 @t40)) % 50.70/50.99 (define @t44 () (tptp.skaf45 @t2 @t40)) % 50.70/50.99 (define @t45 () (tptp.skaf42 @t2 @t40)) % 50.70/50.99 (define @t46 () (not (tptp.ssItem @t2))) % 50.70/50.99 (define @t47 () (not (tptp.ssList @t2))) % 50.70/50.99 (define @t48 () (tptp.cons @t2 tptp.nil)) % 50.70/50.99 (define @t49 () (tptp.ssItem @t40)) % 50.70/50.99 (define @t50 () (tptp.duplicatefreeP @t2)) % 50.70/50.99 (define @t51 () (tptp.app @t2 tptp.nil)) % 50.70/50.99 (define @t52 () (or @t47 (= @t51 @t2))) % 50.70/50.99 (define @t53 () (forall @t4 @t52)) % 50.70/50.99 (define @t54 () (tptp.app tptp.nil @t2)) % 50.70/50.99 (define @t55 () (or @t47 (= @t54 @t2))) % 50.70/50.99 (define @t56 () (forall @t4 @t55)) % 50.70/50.99 (define @t57 () (= tptp.nil @t2)) % 50.70/50.99 (define @t58 () (tptp.tl @t2)) % 50.70/50.99 (define @t59 () (tptp.hd @t2)) % 50.70/50.99 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 50.70/50.99 (define @t61 () (not @t57)) % 50.70/50.99 (define @t62 () (or @t61 @t47 @t60)) % 50.70/50.99 (define @t63 () (forall @t4 @t62)) % 50.70/50.99 (define @t64 () (tptp.rearsegP tptp.nil @t2)) % 50.70/50.99 (define @t65 () (tptp.frontsegP tptp.nil @t2)) % 50.70/50.99 (define @t66 () (tptp.app @t40 @t2)) % 50.70/50.99 (define @t67 () (not (tptp.ssList @t40))) % 50.70/50.99 (define @t68 () (tptp.cons @t2 @t40)) % 50.70/50.99 (define @t69 () (tptp.cyclefreeP @t2)) % 50.70/50.99 (define @t70 () (tptp.equalelemsP @t2)) % 50.70/50.99 (define @t71 () (tptp.strictorderedP @t2)) % 50.70/50.99 (define @t72 () (tptp.totalorderedP @t2)) % 50.70/50.99 (define @t73 () (tptp.strictorderP @t2)) % 50.70/50.99 (define @t74 () (tptp.totalorderP @t2)) % 50.70/50.99 (define @t75 () (tptp.tl @t68)) % 50.70/50.99 (define @t76 () (or @t46 @t67 (= @t75 @t40))) % 50.70/50.99 (define @t77 () (forall @t41 @t76)) % 50.70/50.99 (define @t78 () (tptp.hd @t68)) % 50.70/50.99 (define @t79 () (or @t46 @t67 (= @t78 @t2))) % 50.70/50.99 (define @t80 () (forall @t41 @t79)) % 50.70/50.99 (define @t81 () (= @t40 @t2)) % 50.70/50.99 (define @t82 () (tptp.neq @t40 @t2)) % 50.70/50.99 (define @t83 () (or @t47 @t67 @t82 @t81)) % 50.70/50.99 (define @t84 () (forall @t41 @t83)) % 50.70/50.99 (define @t85 () (not @t49)) % 50.70/50.99 (define @t86 () (tptp.leq @t2 @t40)) % 50.70/50.99 (define @t87 () (tptp.lt @t2 @t40)) % 50.70/50.99 (define @t88 () (not @t87)) % 50.70/50.99 (define @t89 () (tptp.lt @t40 @t2)) % 50.70/50.99 (define @t90 () (not (tptp.gt @t2 @t40))) % 50.70/50.99 (define @t91 () (tptp.gt @t40 @t2)) % 50.70/50.99 (define @t92 () (tptp.leq @t40 @t2)) % 50.70/50.99 (define @t93 () (not (tptp.geq @t2 @t40))) % 50.70/50.99 (define @t94 () (tptp.geq @t40 @t2)) % 50.70/50.99 (define @t95 () (not @t86)) % 50.70/50.99 (define @t96 () (tptp.cons @t3 @t5)) % 50.70/50.99 (define @t97 () (or @t47 (= @t96 @t2) @t57)) % 50.70/50.99 (define @t98 () (forall @t4 @t97)) % 50.70/50.99 (define @t99 () (= @t2 @t40)) % 50.70/50.99 (define @t100 () (not @t99)) % 50.70/50.99 (define @t101 () (tptp.cons @t40 @t2)) % 50.70/50.99 (define @t102 () (not (tptp.neq @t2 @t40))) % 50.70/50.99 (define @t103 () (tptp.app @t2 @t40)) % 50.70/50.99 (define @t104 () (= @t103 tptp.nil)) % 50.70/50.99 (define @t105 () (not @t104)) % 50.70/50.99 (define @t106 () (or @t105 @t67 @t47 @t57)) % 50.70/50.99 (define @t107 () (forall @t41 @t106)) % 50.70/50.99 (define @t108 () (= tptp.nil @t40)) % 50.70/50.99 (define @t109 () (or @t105 @t67 @t47 @t108)) % 50.70/50.99 (define @t110 () (forall @t41 @t109)) % 50.70/50.99 (define @t111 () (tptp.app @t48 @t40)) % 50.70/50.99 (define @t112 () (or @t46 @t67 (= @t111 @t68))) % 50.70/50.99 (define @t113 () (forall @t41 @t112)) % 50.70/50.99 (define @t114 () (tptp.hd @t40)) % 50.70/50.99 (define @t115 () (tptp.strictorderedP @t40)) % 50.70/50.99 (define @t116 () (tptp.strictorderedP @t68)) % 50.70/50.99 (define @t117 () (not @t116)) % 50.70/50.99 (define @t118 () (tptp.totalorderedP @t40)) % 50.70/50.99 (define @t119 () (tptp.totalorderedP @t68)) % 50.70/50.99 (define @t120 () (not @t119)) % 50.70/50.99 (define @t121 () (not (tptp.segmentP @t2 @t40))) % 50.70/50.99 (define @t122 () (not (tptp.rearsegP @t2 @t40))) % 50.70/50.99 (define @t123 () (not (tptp.frontsegP @t2 @t40))) % 50.70/50.99 (define @t124 () (not @t92)) % 50.70/50.99 (define @t125 () (tptp.app @t40 @t44)) % 50.70/50.99 (define @t126 () (or @t123 @t67 @t47 (= @t125 @t2))) % 50.70/50.99 (define @t127 () (forall @t41 @t126)) % 50.70/50.99 (define @t128 () (tptp.tl @t40)) % 50.70/50.99 (define @t129 () (tptp.lt @t2 @t114)) % 50.70/50.99 (define @t130 () (tptp.leq @t2 @t114)) % 50.70/50.99 (define @t131 () (@var "W" $$unsorted)) % 50.70/50.99 (define @t132 () (tptp.app @t131 @t2)) % 50.70/50.99 (define @t133 () (not (tptp.ssList @t131))) % 50.70/50.99 (define @t134 () (@list @t2 @t40 @t131)) % 50.70/50.99 (define @t135 () (tptp.app @t2 @t131)) % 50.70/50.99 (define @t136 () (tptp.cons @t40 @t131)) % 50.70/50.99 (define @t137 () (tptp.cons @t131 @t2)) % 50.70/50.99 (define @t138 () (not (tptp.ssItem @t131))) % 50.70/50.99 (define @t139 () (not (tptp.memberP @t2 @t40))) % 50.70/50.99 (define @t140 () (not (= @t103 @t131))) % 50.70/50.99 (define @t141 () (tptp.lt @t2 @t131)) % 50.70/50.99 (define @t142 () (not (tptp.lt @t40 @t131))) % 50.70/50.99 (define @t143 () (tptp.app @t131 @t40)) % 50.70/50.99 (define @t144 () (= @t40 @t131)) % 50.70/50.99 (define @t145 () (= @t2 @t131)) % 50.70/50.99 (define @t146 () (tptp.memberP @t40 @t131)) % 50.70/50.99 (define @t147 () (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2))) % 50.70/50.99 (define @t148 () (or @t121 @t67 @t47 (= @t147 @t2))) % 50.70/50.99 (define @t149 () (forall @t41 @t148)) % 50.70/50.99 (define @t150 () (@var "X" $$unsorted)) % 50.70/50.99 (define @t151 () (not (tptp.ssList @t150))) % 50.70/50.99 (define @t152 () (tptp.cons @t131 @t150)) % 50.70/50.99 (define @t153 () (not (= @t68 @t152))) % 50.70/50.99 (define @t154 () (@list @t2 @t40 @t131 @t150)) % 50.70/50.99 (define @t155 () (tptp.segmentP @t150 @t40)) % 50.70/50.99 (define @t156 () (tptp.app @t103 @t131)) % 50.70/50.99 (define @t157 () (not (= @t156 @t150))) % 50.70/50.99 (define @t158 () (or @t157 @t133 @t47 @t67 @t151 @t155)) % 50.70/50.99 (define @t159 () (forall @t154 @t158)) % 50.70/50.99 (define @t160 () (not (tptp.frontsegP @t68 @t152))) % 50.70/50.99 (define @t161 () (tptp.app @t2 @t136)) % 50.70/50.99 (define @t162 () (not (tptp.ssItem @t150))) % 50.70/50.99 (define @t163 () (@var "Y" $$unsorted)) % 50.70/50.99 (define @t164 () (not (tptp.ssList @t163))) % 50.70/50.99 (define @t165 () (@list @t2 @t40 @t131 @t150 @t163)) % 50.70/50.99 (define @t166 () (tptp.lt @t40 @t150)) % 50.70/50.99 (define @t167 () (@var "Z" $$unsorted)) % 50.70/50.99 (define @t168 () (not (tptp.ssList @t167))) % 50.70/50.99 (define @t169 () (not (= (tptp.app @t161 (tptp.cons @t150 @t163)) @t167))) % 50.70/50.99 (define @t170 () (@list @t2 @t40 @t131 @t150 @t163 @t167)) % 50.70/50.99 (define @t171 () (tptp.leq @t40 @t150)) % 50.70/50.99 (define @t172 () (tptp.ssList tptp.sk3)) % 50.70/50.99 (define @t173 () (tptp.ssList tptp.sk4)) % 50.70/50.99 (define @t174 () (tptp.neq tptp.sk2 tptp.nil)) % 50.70/50.99 (define @t175 () (@var "A" $$unsorted)) % 50.70/50.99 (define @t176 () (tptp.segmentP tptp.sk1 @t175)) % 50.70/50.99 (define @t177 () (not @t176)) % 50.70/50.99 (define @t178 () (tptp.segmentP tptp.sk2 @t175)) % 50.70/50.99 (define @t179 () (not @t178)) % 50.70/50.99 (define @t180 () (not (tptp.neq @t175 tptp.nil))) % 50.70/50.99 (define @t181 () (not (tptp.ssList @t175))) % 50.70/50.99 (define @t182 () (or @t181 @t180 @t179 @t177)) % 50.70/50.99 (define @t183 () (forall (@list @t175) @t182)) % 50.70/50.99 (define @t184 () (@var "B" $$unsorted)) % 50.70/50.99 (define @t185 () (tptp.cons @t175 tptp.nil)) % 50.70/50.99 (define @t186 () (tptp.app @t185 @t184)) % 50.70/50.99 (define @t187 () (not (= @t186 tptp.sk4))) % 50.70/50.99 (define @t188 () (tptp.app @t184 @t185)) % 50.70/50.99 (define @t189 () (not (tptp.ssList @t184))) % 50.70/50.99 (define @t190 () (not (tptp.ssItem @t175))) % 50.70/50.99 (define @t191 () (or @t190 @t189 (= @t188 tptp.sk3) @t187)) % 50.70/50.99 (define @t192 () (forall (@list @t175 @t184) @t191)) % 50.70/50.99 (define @t193 () (= tptp.nil tptp.sk4)) % 50.70/50.99 (define @t194 () (not @t193)) % 50.70/50.99 (define @t195 () (= tptp.nil tptp.sk3)) % 50.70/50.99 (define @t196 () (@list tptp.sk4)) % 50.70/50.99 (define @t197 () (tptp.app tptp.sk4 tptp.nil)) % 50.70/50.99 (define @t198 () (= tptp.sk4 @t197)) % 50.70/50.99 (define @t199 () (not @t173)) % 50.70/50.99 (define @t200 () (or @t199 @t198)) % 50.70/50.99 (define @t201 () (@list false false)) % 50.70/50.99 (define @t202 () (@list tptp.nil tptp.nil)) % 50.70/50.99 (define @t203 () (tptp.segmentP tptp.nil tptp.nil)) % 50.70/50.99 (define @t204 () (not @t1)) % 50.70/50.99 (define @t205 () (not (= tptp.nil tptp.nil))) % 50.70/50.99 (define @t206 () (or @t205 @t204 @t203)) % 50.70/50.99 (define @t207 () (or @t61 @t61 @t47 @t60)) % 50.70/50.99 (define @t208 () (tptp.skaf48 tptp.nil tptp.nil)) % 50.70/50.99 (define @t209 () (tptp.skaf47 tptp.nil tptp.nil)) % 50.70/50.99 (define @t210 () (tptp.app @t209 tptp.nil)) % 50.70/50.99 (define @t211 () (tptp.app @t210 @t208)) % 50.70/50.99 (define @t212 () (= tptp.nil @t211)) % 50.70/50.99 (define @t213 () (not @t203)) % 50.70/50.99 (define @t214 () (or @t213 @t204 @t204 @t212)) % 50.70/50.99 (define @t215 () (@list false false false)) % 50.70/50.99 (define @t216 () (tptp.segmentP tptp.sk4 tptp.sk4)) % 50.70/50.99 (define @t217 () (or @t199 @t216)) % 50.70/50.99 (define @t218 () (tptp.segmentP tptp.sk3 tptp.sk4)) % 50.70/50.99 (define @t219 () (not @t218)) % 50.70/50.99 (define @t220 () (not @t216)) % 50.70/50.99 (define @t221 () (tptp.neq tptp.sk4 tptp.nil)) % 50.70/50.99 (define @t222 () (not @t221)) % 50.70/50.99 (define @t223 () (or @t199 @t222 @t220 @t219)) % 50.70/50.99 (define @t224 () (@list false false false false)) % 50.70/50.99 (define @t225 () (tptp.skaf82 tptp.sk4)) % 50.70/50.99 (define @t226 () (tptp.skaf83 tptp.sk4)) % 50.70/50.99 (define @t227 () (@list @t226 @t225)) % 50.70/50.99 (define @t228 () (tptp.cons @t226 @t225)) % 50.70/50.99 (define @t229 () (tptp.tl @t228)) % 50.70/50.99 (define @t230 () (= @t225 @t229)) % 50.70/50.99 (define @t231 () (tptp.ssList @t225)) % 50.70/50.99 (define @t232 () (not @t231)) % 50.70/50.99 (define @t233 () (tptp.ssItem @t226)) % 50.70/50.99 (define @t234 () (not @t233)) % 50.70/50.99 (define @t235 () (or @t234 @t232 @t230)) % 50.70/50.99 (define @t236 () (tptp.hd @t228)) % 50.70/50.99 (define @t237 () (= @t226 @t236)) % 50.70/50.99 (define @t238 () (or @t234 @t232 @t237)) % 50.70/50.99 (define @t239 () (tptp.cons @t226 tptp.nil)) % 50.70/50.99 (define @t240 () (tptp.app @t239 @t225)) % 50.70/50.99 (define @t241 () (= @t228 @t240)) % 50.70/50.99 (define @t242 () (or @t234 @t232 @t241)) % 50.70/50.99 (define @t243 () (@list @t210 @t208)) % 50.70/50.99 (define @t244 () (tptp.ssList @t210)) % 50.70/50.99 (define @t245 () (tptp.ssList @t209)) % 50.70/50.99 (define @t246 () (not @t245)) % 50.70/50.99 (define @t247 () (or @t204 @t246 @t244)) % 50.70/50.99 (define @t248 () (= tptp.nil @t210)) % 50.70/50.99 (define @t249 () (not @t244)) % 50.70/50.99 (define @t250 () (tptp.ssList @t208)) % 50.70/50.99 (define @t251 () (not @t250)) % 50.70/50.99 (define @t252 () (not @t212)) % 50.70/50.99 (define @t253 () (or @t252 @t251 @t249 @t248)) % 50.70/50.99 (define @t254 () (= tptp.nil @t208)) % 50.70/50.99 (define @t255 () (or @t252 @t251 @t249 @t254)) % 50.70/50.99 (define @t256 () (not @t195)) % 50.70/50.99 (define @t257 () (not @t219)) % 50.70/50.99 (define @t258 () (= true false)) % 50.70/50.99 (define @t259 () (and @t219 @t195 @t193 @t203)) % 50.70/50.99 (define @t260 () (@list true false false)) % 50.70/50.99 (define @t261 () (= tptp.sk4 @t228)) % 50.70/50.99 (define @t262 () (or @t199 @t261 @t193)) % 50.70/50.99 (define @t263 () (tptp.tl tptp.sk4)) % 50.70/50.99 (define @t264 () (tptp.app @t263 tptp.nil)) % 50.70/50.99 (define @t265 () (tptp.tl @t197)) % 50.70/50.99 (define @t266 () (= @t265 @t264)) % 50.70/50.99 (define @t267 () (or @t204 @t199 @t193 @t266)) % 50.70/50.99 (define @t268 () (tptp.hd tptp.sk4)) % 50.70/50.99 (define @t269 () (@list @t268 tptp.nil)) % 50.70/50.99 (define @t270 () (tptp.ssItem @t268)) % 50.70/50.99 (define @t271 () (or @t199 @t270 @t193)) % 50.70/50.99 (define @t272 () (tptp.cons @t268 tptp.nil)) % 50.70/50.99 (define @t273 () (tptp.app @t272 tptp.nil)) % 50.70/50.99 (define @t274 () (= @t272 @t273)) % 50.70/50.99 (define @t275 () (not @t270)) % 50.70/50.99 (define @t276 () (or @t275 @t204 @t274)) % 50.70/50.99 (define @t277 () (tptp.app @t264 tptp.nil)) % 50.70/50.99 (define @t278 () (@list @t277)) % 50.70/50.99 (define @t279 () (tptp.app @t263 @t211)) % 50.70/50.99 (define @t280 () (tptp.app @t263 @t210)) % 50.70/50.99 (define @t281 () (tptp.app @t280 @t208)) % 50.70/50.99 (define @t282 () (tptp.ssList @t277)) % 50.70/50.99 (define @t283 () (and @t198 @t261 @t266 @t212 @t231 @t230 @t248 @t254)) % 50.70/50.99 (define @t284 () (not @t254)) % 50.70/50.99 (define @t285 () (not @t230)) % 50.70/50.99 (define @t286 () (not @t248)) % 50.70/50.99 (define @t287 () (not @t266)) % 50.70/50.99 (define @t288 () (not @t261)) % 50.70/50.99 (define @t289 () (not @t198)) % 50.70/50.99 (define @t290 () (tptp.app tptp.nil @t277)) % 50.70/50.99 (define @t291 () (= @t277 @t290)) % 50.70/50.99 (define @t292 () (not @t282)) % 50.70/50.99 (define @t293 () (or @t292 @t291)) % 50.70/50.99 (define @t294 () (tptp.ssList @t272)) % 50.70/50.99 (define @t295 () (or @t275 @t204 @t294)) % 50.70/50.99 (define @t296 () (= @t272 (tptp.app tptp.nil @t272))) % 50.70/50.99 (define @t297 () (not @t294)) % 50.70/50.99 (define @t298 () (or @t297 @t296)) % 50.70/50.99 (define @t299 () (tptp.app @t272 @t263)) % 50.70/50.99 (define @t300 () (tptp.hd @t197)) % 50.70/50.99 (define @t301 () (= tptp.sk4 (tptp.app @t272 @t225))) % 50.70/50.99 (define @t302 () (and @t198 @t261 @t230 @t237 @t241)) % 50.70/50.99 (define @t303 () (@list false false false false false)) % 50.70/50.99 (define @t304 () (not @t301)) % 50.70/50.99 (define @t305 () (tptp.app @t225 @t272)) % 50.70/50.99 (define @t306 () (= tptp.sk3 @t305)) % 50.70/50.99 (define @t307 () (or @t275 @t232 @t306 @t304)) % 50.70/50.99 (define @t308 () (tptp.segmentP tptp.sk3 tptp.sk3)) % 50.70/50.99 (define @t309 () (not @t172)) % 50.70/50.99 (define @t310 () (or @t309 @t308)) % 50.70/50.99 (define @t311 () (tptp.segmentP @t277 @t277)) % 50.70/50.99 (define @t312 () (or @t292 @t311)) % 50.70/50.99 (define @t313 () (tptp.app @t290 @t272)) % 50.70/50.99 (define @t314 () (tptp.segmentP @t313 @t277)) % 50.70/50.99 (define @t315 () (not @t311)) % 50.70/50.99 (define @t316 () (or @t315 @t297 @t204 @t292 @t292 @t314)) % 50.70/50.99 (define @t317 () (tptp.app @t225 @t239)) % 50.70/50.99 (define @t318 () (tptp.segmentP tptp.sk3 @t277)) % 50.70/50.99 (define @t319 () (and @t198 @t261 @t266 @t212 @t230 @t237 @t248 @t254 @t306 @t291 @t314)) % 50.70/50.99 (define @t320 () (not @t291)) % 50.70/50.99 (define @t321 () (not @t306)) % 50.70/50.99 (define @t322 () (not @t237)) % 50.70/50.99 (define @t323 () (tptp.segmentP @t156 @t40)) % 50.70/50.99 (define @t324 () (not (tptp.ssList @t156))) % 50.70/50.99 (define @t325 () (not (= @t156 @t156))) % 50.70/50.99 (define @t326 () (or @t325 @t133 @t47 @t67 @t324 @t323)) % 50.70/50.99 (define @t327 () (not (= @t150 @t156))) % 50.70/50.99 (define @t328 () (or @t327 @t327 @t133 @t47 @t67 @t151 @t155)) % 50.70/50.99 (define @t329 () (@list @t150)) % 50.70/50.99 (define @t330 () (or @t327 @t133 @t47 @t67 @t151 @t155)) % 50.70/50.99 (define @t331 () (forall @t329 @t330)) % 50.70/50.99 (define @t332 () (forall @t134 @t331)) % 50.70/50.99 (define @t333 () (tptp.skaf45 tptp.sk4 tptp.sk4)) % 50.70/50.99 (define @t334 () (@list tptp.sk4 tptp.sk4)) % 50.70/50.99 (define @t335 () (tptp.frontsegP tptp.sk4 tptp.sk4)) % 50.70/50.99 (define @t336 () (or @t199 @t335)) % 50.70/50.99 (define @t337 () (tptp.app tptp.sk4 @t333)) % 50.70/50.99 (define @t338 () (= tptp.sk4 @t337)) % 50.70/50.99 (define @t339 () (not @t335)) % 50.70/50.99 (define @t340 () (or @t339 @t199 @t199 @t338)) % 50.70/50.99 (define @t341 () (tptp.app @t240 @t333)) % 50.70/50.99 (define @t342 () (tptp.ssList @t341)) % 50.70/50.99 (define @t343 () (and @t173 @t198 @t261 @t241 @t338)) % 50.70/50.99 (define @t344 () (tptp.ssList @t239)) % 50.70/50.99 (define @t345 () (and @t198 @t261 @t237 @t294)) % 50.70/50.99 (define @t346 () (tptp.segmentP @t341 @t225)) % 50.70/50.99 (define @t347 () (not @t342)) % 50.70/50.99 (define @t348 () (not @t344)) % 50.70/50.99 (define @t349 () (tptp.ssList @t333)) % 50.70/50.99 (define @t350 () (not @t349)) % 50.70/50.99 (define @t351 () (or @t350 @t348 @t232 @t347 @t346)) % 50.70/50.99 (define @t352 () (tptp.segmentP tptp.sk4 @t277)) % 50.70/50.99 (define @t353 () (and @t198 @t261 @t266 @t212 @t230 @t248 @t254 @t241 @t338 @t346)) % 50.70/50.99 (define @t354 () (not @t241)) % 50.70/50.99 (define @t355 () (not @t318)) % 50.70/50.99 (define @t356 () (not @t352)) % 50.70/50.99 (define @t357 () (tptp.neq @t277 tptp.nil)) % 50.70/50.99 (define @t358 () (not @t357)) % 50.70/50.99 (define @t359 () (or @t292 @t358 @t356 @t355)) % 50.70/50.99 (define @t360 () (= tptp.nil @t277)) % 50.70/50.99 (define @t361 () (or @t204 @t292 @t357 @t360)) % 50.70/50.99 (define @t362 () (not @t308)) % 50.70/50.99 (define @t363 () (not @t296)) % 50.70/50.99 (define @t364 () (not @t360)) % 50.70/50.99 (define @t365 () (not @t274)) % 50.70/50.99 (define @t366 () (and @t219 @t261 @t241 @t237 @t198 @t230 @t266 @t212 @t248 @t254 @t360 @t274 @t296 @t291 @t306 @t308)) % 50.70/50.99 (assume @p1 (tptp.equalelemsP tptp.nil)) % 50.70/50.99 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 50.70/50.99 (assume @p3 (tptp.strictorderedP tptp.nil)) % 50.70/50.99 (assume @p4 (tptp.totalorderedP tptp.nil)) % 50.70/50.99 (assume @p5 (tptp.strictorderP tptp.nil)) % 50.70/50.99 (assume @p6 (tptp.totalorderP tptp.nil)) % 50.70/50.99 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 50.70/50.99 (assume @p8 @t1) % 50.70/50.99 (assume @p9 (tptp.ssItem tptp.skac3)) % 50.70/50.99 (assume @p10 (tptp.ssItem tptp.skac2)) % 50.70/50.99 (assume @p11 (not (tptp.singletonP tptp.nil))) % 50.70/50.99 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 50.70/50.99 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 50.70/50.99 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 50.70/50.99 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 50.70/50.99 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 50.70/50.99 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 50.70/50.99 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 50.70/50.99 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 50.70/50.99 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 50.70/50.99 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 50.70/50.99 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 50.70/50.99 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 50.70/50.99 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 50.70/50.99 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 50.70/50.99 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 50.70/50.99 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 50.70/50.99 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 50.70/50.99 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 50.70/50.99 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 50.70/50.99 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 50.70/50.99 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 50.70/50.99 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 50.70/50.99 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 50.70/50.99 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 50.70/50.99 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 50.70/50.99 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 50.70/50.99 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 50.70/50.99 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 50.70/50.99 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 50.70/50.99 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 50.70/50.99 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 50.70/50.99 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 50.70/50.99 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 50.70/50.99 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 50.70/50.99 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 50.70/50.99 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 50.70/50.99 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 50.70/50.99 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 50.70/50.99 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 50.70/50.99 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 50.70/50.99 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 50.70/50.99 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 50.70/50.99 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 50.70/50.99 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 50.70/50.99 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 50.70/50.99 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 50.70/50.99 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 50.70/50.99 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 50.70/50.99 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 50.70/50.99 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 50.70/50.99 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 50.70/50.99 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 50.70/50.99 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 50.70/50.99 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 50.70/50.99 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 50.70/50.99 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 50.70/50.99 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 50.70/50.99 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 50.70/50.99 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 50.70/50.99 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 50.70/50.99 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 50.70/50.99 (assume @p73 @t53) % 50.70/50.99 (assume @p74 @t56) % 50.70/50.99 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 50.70/50.99 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 50.70/50.99 (assume @p77 @t63) % 50.70/50.99 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 50.70/50.99 (assume @p79 (forall @t4 (or @t61 @t47 @t64))) % 50.70/50.99 (assume @p80 (forall @t4 (or (not @t64) @t47 @t57))) % 50.70/50.99 (assume @p81 (forall @t4 (or @t61 @t47 @t65))) % 50.70/50.99 (assume @p82 (forall @t4 (or (not @t65) @t47 @t57))) % 50.70/50.99 (assume @p83 (forall @t41 (or @t47 @t67 (tptp.ssList @t66)))) % 50.70/50.99 (assume @p84 (forall @t41 (or @t46 @t67 (tptp.ssList @t68)))) % 50.70/50.99 (assume @p85 (forall @t4 (or @t47 @t69 (tptp.leq @t37 @t38)))) % 50.70/50.99 (assume @p86 (forall @t4 (or @t47 @t69 (tptp.leq @t38 @t37)))) % 50.70/50.99 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t70))) % 50.70/50.99 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t71))) % 50.70/50.99 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t72))) % 50.70/50.99 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t73))) % 50.70/50.99 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t73))) % 50.70/50.99 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t74))) % 50.70/50.99 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t74))) % 50.70/50.99 (assume @p94 @t77) % 50.70/50.99 (assume @p95 @t80) % 50.70/50.99 (assume @p96 (forall @t41 (or (not (= @t68 tptp.nil)) @t46 @t67))) % 50.70/50.99 (assume @p97 (forall @t41 (or (not (= @t68 @t40)) @t46 @t67))) % 50.70/50.99 (assume @p98 @t84) % 50.70/50.99 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 50.70/50.99 (assume @p100 (forall @t41 (or @t46 @t85 @t82 @t81))) % 50.70/50.99 (assume @p101 (forall @t41 (or @t88 @t85 @t46 @t86))) % 50.70/50.99 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t59 @t58) @t2) @t57))) % 50.70/50.99 (assume @p103 (forall @t41 (or @t90 @t85 @t46 @t89))) % 50.70/50.99 (assume @p104 (forall @t41 (or @t88 @t46 @t85 @t91))) % 50.70/50.99 (assume @p105 (forall @t41 (or @t93 @t85 @t46 @t92))) % 50.70/50.99 (assume @p106 (forall @t41 (or @t95 @t46 @t85 @t94))) % 50.70/50.99 (assume @p107 @t98) % 50.70/50.99 (assume @p108 (forall @t41 (or @t90 (not @t91) @t46 @t85))) % 50.70/50.99 (assume @p109 (forall @t41 (or @t100 @t88 @t85 @t46))) % 50.70/50.99 (assume @p110 (forall @t41 (or @t61 @t47 @t85 (tptp.strictorderedP @t101)))) % 50.70/50.99 (assume @p111 (forall @t41 (or @t61 @t47 @t85 (tptp.totalorderedP @t101)))) % 50.70/50.99 (assume @p112 (forall @t41 (or @t88 (not @t89) @t46 @t85))) % 50.70/50.99 (assume @p113 (forall @t41 (or @t100 @t102 @t67 @t47))) % 50.70/50.99 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t67 (tptp.singletonP @t40)))) % 50.70/50.99 (assume @p115 (forall @t41 (or @t100 @t102 @t85 @t46))) % 50.70/50.99 (assume @p116 @t107) % 50.70/50.99 (assume @p117 @t110) % 50.70/50.99 (assume @p118 @t113) % 50.70/50.99 (assume @p119 (forall @t41 (or @t95 @t85 @t46 @t87 @t99))) % 50.70/50.99 (assume @p120 (forall @t41 (or @t47 @t67 @t108 (= (tptp.hd @t66) @t114)))) % 50.70/50.99 (assume @p121 (forall @t41 (or @t117 @t67 @t46 @t115 @t108))) % 50.70/50.99 (assume @p122 (forall @t41 (or @t120 @t67 @t46 @t118 @t108))) % 50.70/50.99 (assume @p123 (forall @t41 (or @t93 (not @t94) @t46 @t85 @t81))) % 50.70/50.99 (assume @p124 (forall @t41 (or @t121 (not (tptp.segmentP @t40 @t2)) @t47 @t67 @t81))) % 50.70/50.99 (assume @p125 (forall @t41 (or @t122 (not (tptp.rearsegP @t40 @t2)) @t47 @t67 @t81))) % 50.70/50.99 (assume @p126 (forall @t41 (or @t123 (not (tptp.frontsegP @t40 @t2)) @t47 @t67 @t81))) % 50.70/50.99 (assume @p127 (forall @t41 (or @t95 @t124 @t46 @t85 @t81))) % 50.70/50.99 (assume @p128 (forall @t41 (or @t122 @t67 @t47 (= (tptp.app @t43 @t40) @t2)))) % 50.70/50.99 (assume @p129 @t127) % 50.70/50.99 (assume @p130 (forall @t41 (or @t47 @t67 @t108 (= (tptp.tl @t66) (tptp.app @t128 @t2))))) % 50.70/50.99 (assume @p131 (forall @t41 (or @t117 @t67 @t46 @t129 @t108))) % 50.70/50.99 (assume @p132 (forall @t41 (or @t120 @t67 @t46 @t130 @t108))) % 50.70/50.99 (assume @p133 (forall @t134 (or @t122 @t133 @t67 @t47 (tptp.rearsegP @t132 @t40)))) % 50.70/50.99 (assume @p134 (forall @t134 (or @t123 @t133 @t67 @t47 (tptp.frontsegP @t135 @t40)))) % 50.70/50.99 (assume @p135 (forall @t134 (or @t100 @t133 @t85 @t46 (tptp.memberP @t136 @t2)))) % 50.70/50.99 (assume @p136 (forall @t134 (or @t139 @t47 @t138 @t85 (tptp.memberP @t137 @t40)))) % 50.70/50.99 (assume @p137 (forall @t134 (or @t139 @t133 @t47 @t85 (tptp.memberP @t135 @t40)))) % 50.70/50.99 (assume @p138 (forall @t134 (or @t139 @t47 @t133 @t85 (tptp.memberP @t132 @t40)))) % 50.70/50.99 (assume @p139 (forall @t4 (or @t47 @t70 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 50.70/50.99 (assume @p140 (forall @t134 (or @t140 @t47 @t67 @t133 (tptp.rearsegP @t131 @t40)))) % 50.70/50.99 (assume @p141 (forall @t134 (or @t140 @t67 @t47 @t133 (tptp.frontsegP @t131 @t2)))) % 50.70/50.99 (assume @p142 (forall @t41 (or @t61 (not @t108) @t67 @t47 @t104))) % 50.70/50.99 (assume @p143 (forall @t134 (or @t90 (not (tptp.gt @t40 @t131)) @t138 @t85 @t46 (tptp.gt @t2 @t131)))) % 50.70/50.99 (assume @p144 (forall @t134 (or @t95 @t142 @t138 @t85 @t46 @t141))) % 50.70/50.99 (assume @p145 (forall @t134 (or @t93 (not (tptp.geq @t40 @t131)) @t138 @t85 @t46 (tptp.geq @t2 @t131)))) % 50.70/50.99 (assume @p146 (forall @t134 (or @t47 @t67 @t133 (= (tptp.app @t143 @t2) (tptp.app @t131 @t66))))) % 50.70/50.99 (assume @p147 (forall @t134 (or (not (= @t103 @t135)) @t67 @t47 @t133 @t144))) % 50.70/50.99 (assume @p148 (forall @t134 (or (not (= @t103 @t143)) @t47 @t67 @t133 @t145))) % 50.70/50.99 (assume @p149 (forall @t134 (or @t121 (not (tptp.segmentP @t40 @t131)) @t133 @t67 @t47 (tptp.segmentP @t2 @t131)))) % 50.70/50.99 (assume @p150 (forall @t134 (or @t122 (not (tptp.rearsegP @t40 @t131)) @t133 @t67 @t47 (tptp.rearsegP @t2 @t131)))) % 50.70/50.99 (assume @p151 (forall @t134 (or @t123 (not (tptp.frontsegP @t40 @t131)) @t133 @t67 @t47 (tptp.frontsegP @t2 @t131)))) % 50.70/50.99 (assume @p152 (forall @t134 (or @t88 @t142 @t138 @t85 @t46 @t141))) % 50.70/50.99 (assume @p153 (forall @t134 (or @t95 (not (tptp.leq @t40 @t131)) @t138 @t85 @t46 (tptp.leq @t2 @t131)))) % 50.70/50.99 (assume @p154 (forall @t134 (or @t46 @t67 @t133 (= (tptp.cons @t2 (tptp.app @t40 @t131)) (tptp.app @t68 @t131))))) % 50.70/50.99 (assume @p155 (forall @t134 (or (not (tptp.memberP @t103 @t131)) @t67 @t47 @t138 @t146 (tptp.memberP @t2 @t131)))) % 50.70/50.99 (assume @p156 (forall @t41 (or (not @t130) (not @t118) @t67 @t46 @t119 @t108))) % 50.70/50.99 (assume @p157 (forall @t41 (or (not @t129) (not @t115) @t67 @t46 @t116 @t108))) % 50.70/50.99 (assume @p158 (forall @t134 (or (not (tptp.memberP @t68 @t131)) @t67 @t46 @t138 @t146 (= @t131 @t2)))) % 50.70/50.99 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 50.70/50.99 (assume @p160 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 50.70/50.99 (assume @p161 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 50.70/50.99 (assume @p162 (forall @t4 (or @t47 @t73 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 50.70/50.99 (assume @p163 (forall @t4 (or @t47 @t74 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 50.70/50.99 (assume @p164 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 50.70/50.99 (assume @p165 @t149) % 50.70/50.99 (assume @p166 (forall @t41 (or @t139 @t85 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 50.70/50.99 (assume @p167 (forall @t154 (or @t153 @t138 @t46 @t151 @t67 @t145))) % 50.70/50.99 (assume @p168 (forall @t154 (or @t153 @t138 @t46 @t151 @t67 (= @t150 @t40)))) % 50.70/50.99 (assume @p169 (forall @t154 (or @t121 @t133 @t151 @t67 @t47 (tptp.segmentP (tptp.app (tptp.app @t150 @t2) @t131) @t40)))) % 50.70/50.99 (assume @p170 @t159) % 50.70/50.99 (assume @p171 (forall @t154 (or @t160 @t151 @t67 @t138 @t46 (tptp.frontsegP @t40 @t150)))) % 50.70/50.99 (assume @p172 (forall @t154 (or (not (= @t161 @t150)) @t133 @t47 @t85 @t151 (tptp.memberP @t150 @t40)))) % 50.70/50.99 (assume @p173 (forall @t154 (or @t160 @t151 @t67 @t138 @t46 @t145))) % 50.70/50.99 (assume @p174 (forall @t41 (or (not (= @t58 @t128)) (not (= @t59 @t114)) @t47 @t67 @t108 @t99 @t57))) % 50.70/50.99 (assume @p175 (forall @t154 (or @t123 (not (= @t131 @t150)) @t67 @t47 @t162 @t138 (tptp.frontsegP @t137 (tptp.cons @t150 @t40))))) % 50.70/50.99 (assume @p176 (forall @t165 (or (not (= (tptp.app @t161 (tptp.cons @t40 @t150)) @t163)) @t151 @t133 @t47 @t85 (not (tptp.duplicatefreeP @t163)) @t164))) % 50.70/50.99 (assume @p177 (forall @t165 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t152)) @t163)) @t151 @t47 @t138 @t85 (not (tptp.equalelemsP @t163)) @t164 @t144))) % 50.70/50.99 (assume @p178 (forall @t170 (or @t169 @t164 @t133 @t47 @t162 @t85 (not (tptp.strictorderedP @t167)) @t168 @t166))) % 50.70/50.99 (assume @p179 (forall @t170 (or @t169 @t164 @t133 @t47 @t162 @t85 (not (tptp.totalorderedP @t167)) @t168 @t171))) % 50.70/50.99 (assume @p180 (forall @t170 (or @t169 @t164 @t133 @t47 @t162 @t85 (not (tptp.strictorderP @t167)) @t168 @t166 (tptp.lt @t150 @t40)))) % 50.70/50.99 (assume @p181 (forall @t170 (or @t169 @t164 @t133 @t47 @t162 @t85 (not (tptp.totalorderP @t167)) @t168 @t171 (tptp.leq @t150 @t40)))) % 50.70/50.99 (assume @p182 (forall @t170 (or @t95 @t124 (not (= (tptp.app (tptp.app @t131 (tptp.cons @t2 @t150)) (tptp.cons @t40 @t163)) @t167)) @t164 @t151 @t133 @t85 @t46 (not (tptp.cyclefreeP @t167)) @t168))) % 50.70/50.99 (assume @p183 (tptp.ssList tptp.sk1)) % 50.70/50.99 (assume @p184 (tptp.ssList tptp.sk2)) % 50.70/50.99 (assume @p185 @t172) % 50.70/50.99 (assume @p186 @t173) % 50.70/50.99 (assume @p187 (= tptp.sk2 tptp.sk4)) % 50.70/50.99 (assume @p188 (= tptp.sk1 tptp.sk3)) % 50.70/50.99 (assume @p189 @t174) % 50.70/50.99 (assume @p190 @t183) % 50.70/50.99 (assume @p191 @t192) % 50.70/50.99 (assume @p192 (or @t195 @t194)) % 50.70/50.99 (step @p193 :rule eq-symm :args (@t51 @t2)) % 50.70/50.99 (step @p194 :rule refl :args (@t47)) % 50.70/50.99 (step @p195 :rule nary_cong :premises (@p194 @p193) :args (@t52)) % 50.70/50.99 (step @p196 :rule cong :premises (@p195) :args (@t53)) % 50.70/50.99 (step @p197 :rule eq_resolve :premises (@p73 @p196)) % 50.70/50.99 (step @p198 :rule instantiate :premises (@p197) :args (@t196)) % 50.70/50.99 (step @p199 :rule cnf_or_pos :args (@t200)) % 50.70/50.99 (step @p200 :rule reordering :premises (@p199) :args ((or @t199 @t198 (not @t200)))) % 50.70/50.99 (step @p201 :rule chain_m_resolution :premises (@p200 @p186 @p198) :args (@t198 @t201 (@list @t173 @t200))) % 50.70/50.99 (step @p202 :rule eq-symm :args (@t147 @t2)) % 50.70/50.99 (step @p203 :rule refl :args (@t67)) % 50.70/50.99 (step @p204 :rule refl :args (@t121)) % 50.70/50.99 (step @p205 :rule nary_cong :premises (@p204 @p203 @p194 @p202) :args (@t148)) % 50.70/50.99 (step @p206 :rule cong :premises (@p205) :args (@t149)) % 50.70/50.99 (step @p207 :rule eq_resolve :premises (@p165 @p206)) % 50.70/50.99 (step @p208 :rule instantiate :premises (@p207) :args (@t202)) % 50.70/50.99 (step @p209 :rule aci_norm :args ((= (or false @t204 @t203) (or @t204 @t203)))) % 50.70/50.99 (step @p210 :rule refl :args (@t203)) % 50.70/50.99 (step @p211 :rule refl :args (@t204)) % 50.70/50.99 (step @p212 :rule evaluate :args ((not true))) % 50.70/50.99 (step @p213 :rule eq-refl :args (tptp.nil)) % 50.70/50.99 (step @p214 :rule cong :premises (@p213) :args (@t205)) % 50.70/50.99 (step @p215 :rule trans :premises (@p214 @p212)) % 50.70/50.99 (step @p216 :rule nary_cong :premises (@p215 @p211 @p210) :args (@t206)) % 50.70/50.99 (step @p217 :rule trans :premises (@p216 @p209)) % 50.70/50.99 (step @p218 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t61 @t47 @t60)) @t206))) % 50.70/50.99 (step @p219 :rule refl :args (@t60)) % 50.70/50.99 (step @p220 :rule refl :args (@t47)) % 50.70/50.99 (step @p221 :rule refl :args (@t61)) % 50.70/50.99 (step @p222 :rule eq-symm :args (tptp.nil @t2)) % 50.70/50.99 (step @p223 :rule cong :premises (@p222) :args (@t61)) % 50.70/50.99 (step @p224 :rule nary_cong :premises (@p223 @p221 @p220 @p219) :args (@t207)) % 50.70/50.99 (step @p225 :rule aci_norm :args ((= @t62 @t207))) % 50.70/50.99 (step @p226 :rule trans :premises (@p225 @p224)) % 50.70/50.99 (step @p227 :rule cong :premises (@p226) :args (@t63)) % 50.70/50.99 (step @p228 :rule trans :premises (@p227 @p218)) % 50.70/50.99 (step @p229 :rule trans :premises (@p228 @p217)) % 50.70/50.99 (step @p230 :rule eq_resolve :premises (@p77 @p229)) % 50.70/50.99 (step @p231 :rule chain_m_resolution :premises (@p230 @p8) :args (@t203 (@list false) (@list @t1))) % 50.70/50.99 (step @p232 :rule cnf_or_pos :args (@t214)) % 50.70/50.99 (step @p233 :rule factoring :premises (@p232)) % 50.70/50.99 (step @p234 :rule reordering :premises (@p233) :args ((or @t204 @t213 @t212 (not @t214)))) % 50.70/50.99 (step @p235 :rule chain_m_resolution :premises (@p234 @p8 @p231 @p208) :args (@t212 @t215 (@list @t1 @t203 @t214))) % 50.70/50.99 (step @p236 :rule refl :args (@t175)) % 50.70/50.99 (step @p237 :rule cong :premises (@p188 @p236) :args (@t176)) % 50.70/50.99 (step @p238 :rule cong :premises (@p237) :args (@t177)) % 50.70/50.99 (step @p239 :rule cong :premises (@p187 @p236) :args (@t178)) % 50.70/50.99 (step @p240 :rule cong :premises (@p239) :args (@t179)) % 50.70/50.99 (step @p241 :rule refl :args (@t180)) % 50.70/50.99 (step @p242 :rule refl :args (@t181)) % 50.70/50.99 (step @p243 :rule nary_cong :premises (@p242 @p241 @p240 @p238) :args (@t182)) % 50.70/50.99 (step @p244 :rule cong :premises (@p243) :args (@t183)) % 50.70/50.99 (step @p245 :rule eq_resolve :premises (@p190 @p244)) % 50.70/50.99 (step @p246 :rule instantiate :premises (@p245) :args (@t196)) % 50.70/50.99 (step @p247 :rule instantiate :premises (@p57) :args (@t196)) % 50.70/50.99 (step @p248 :rule cnf_or_pos :args (@t217)) % 50.70/50.99 (step @p249 :rule reordering :premises (@p248) :args ((or @t199 @t216 (not @t217)))) % 50.70/50.99 (step @p250 :rule chain_m_resolution :premises (@p249 @p186 @p247) :args (@t216 @t201 (@list @t173 @t217))) % 50.70/50.99 (step @p251 :rule refl :args (tptp.nil)) % 50.70/50.99 (step @p252 :rule cong :premises (@p187 @p251) :args (@t174)) % 50.70/50.99 (step @p253 :rule eq_resolve :premises (@p189 @p252)) % 50.70/50.99 (step @p254 :rule cnf_or_pos :args (@t223)) % 50.70/50.99 (step @p255 :rule reordering :premises (@p254) :args ((or @t199 @t222 @t220 @t219 (not @t223)))) % 50.70/50.99 (step @p256 :rule chain_m_resolution :premises (@p255 @p186 @p253 @p250 @p246) :args (@t219 @t224 (@list @t173 @t221 @t216 @t223))) % 50.70/50.99 (step @p257 :rule eq-symm :args (@t75 @t40)) % 50.70/50.99 (step @p258 :rule refl :args (@t46)) % 50.70/50.99 (step @p259 :rule nary_cong :premises (@p258 @p203 @p257) :args (@t76)) % 50.70/50.99 (step @p260 :rule cong :premises (@p259) :args (@t77)) % 50.70/50.99 (step @p261 :rule eq_resolve :premises (@p94 @p260)) % 50.70/50.99 (step @p262 :rule instantiate :premises (@p261) :args (@t227)) % 50.70/50.99 (step @p263 :rule instantiate :premises (@p13) :args (@t196)) % 50.70/50.99 (step @p264 :rule instantiate :premises (@p12) :args (@t196)) % 50.70/50.99 (step @p265 :rule cnf_or_pos :args (@t235)) % 50.70/50.99 (step @p266 :rule reordering :premises (@p265) :args ((or @t234 @t232 @t230 (not @t235)))) % 50.70/50.99 (step @p267 :rule chain_m_resolution :premises (@p266 @p264 @p263 @p262) :args (@t230 @t215 (@list @t233 @t231 @t235))) % 50.70/50.99 (step @p268 :rule eq-symm :args (@t78 @t2)) % 50.70/50.99 (step @p269 :rule nary_cong :premises (@p258 @p203 @p268) :args (@t79)) % 50.70/50.99 (step @p270 :rule cong :premises (@p269) :args (@t80)) % 50.70/50.99 (step @p271 :rule eq_resolve :premises (@p95 @p270)) % 50.70/50.99 (step @p272 :rule instantiate :premises (@p271) :args (@t227)) % 50.70/50.99 (step @p273 :rule cnf_or_pos :args (@t238)) % 50.70/50.99 (step @p274 :rule reordering :premises (@p273) :args ((or @t234 @t232 @t237 (not @t238)))) % 50.70/50.99 (step @p275 :rule chain_m_resolution :premises (@p274 @p264 @p263 @p272) :args (@t237 @t215 (@list @t233 @t231 @t238))) % 50.70/50.99 (step @p276 :rule eq-symm :args (@t111 @t68)) % 50.70/50.99 (step @p277 :rule nary_cong :premises (@p258 @p203 @p276) :args (@t112)) % 50.70/50.99 (step @p278 :rule cong :premises (@p277) :args (@t113)) % 50.70/50.99 (step @p279 :rule eq_resolve :premises (@p118 @p278)) % 50.70/50.99 (step @p280 :rule instantiate :premises (@p279) :args (@t227)) % 50.70/50.99 (step @p281 :rule cnf_or_pos :args (@t242)) % 50.70/50.99 (step @p282 :rule reordering :premises (@p281) :args ((or @t234 @t232 @t241 (not @t242)))) % 50.70/50.99 (step @p283 :rule chain_m_resolution :premises (@p282 @p264 @p263 @p280) :args (@t241 @t215 (@list @t233 @t231 @t242))) % 50.70/50.99 (step @p284 :rule refl :args (@t57)) % 50.70/50.99 (step @p285 :rule eq-symm :args (@t103 tptp.nil)) % 50.70/50.99 (step @p286 :rule cong :premises (@p285) :args (@t105)) % 50.70/50.99 (step @p287 :rule nary_cong :premises (@p286 @p203 @p194 @p284) :args (@t106)) % 50.70/50.99 (step @p288 :rule cong :premises (@p287) :args (@t107)) % 50.70/50.99 (step @p289 :rule eq_resolve :premises (@p116 @p288)) % 50.70/50.99 (step @p290 :rule instantiate :premises (@p289) :args (@t243)) % 50.70/50.99 (step @p291 :rule instantiate :premises (@p83) :args ((@list tptp.nil @t209))) % 50.70/50.99 (step @p292 :rule instantiate :premises (@p49) :args (@t202)) % 50.70/50.99 (step @p293 :rule cnf_or_pos :args (@t247)) % 50.70/50.99 (step @p294 :rule reordering :premises (@p293) :args ((or @t204 @t246 @t244 (not @t247)))) % 50.70/50.99 (step @p295 :rule chain_m_resolution :premises (@p294 @p8 @p292 @p291) :args (@t244 @t215 (@list @t1 @t245 @t247))) % 50.70/50.99 (step @p296 :rule instantiate :premises (@p48) :args (@t202)) % 50.70/50.99 (step @p297 :rule cnf_or_pos :args (@t253)) % 50.70/50.99 (step @p298 :rule reordering :premises (@p297) :args ((or @t252 @t248 @t251 @t249 (not @t253)))) % 50.70/50.99 (step @p299 :rule chain_m_resolution :premises (@p298 @p235 @p296 @p295 @p290) :args (@t248 @t224 (@list @t212 @t250 @t244 @t253))) % 50.70/50.99 (step @p300 :rule refl :args (@t108)) % 50.70/50.99 (step @p301 :rule nary_cong :premises (@p286 @p203 @p194 @p300) :args (@t109)) % 50.70/50.99 (step @p302 :rule cong :premises (@p301) :args (@t110)) % 50.70/50.99 (step @p303 :rule eq_resolve :premises (@p117 @p302)) % 50.70/50.99 (step @p304 :rule instantiate :premises (@p303) :args (@t243)) % 50.70/50.99 (step @p305 :rule cnf_or_pos :args (@t255)) % 50.70/50.99 (step @p306 :rule reordering :premises (@p305) :args ((or @t252 @t251 @t249 @t254 (not @t255)))) % 50.70/50.99 (step @p307 :rule chain_m_resolution :premises (@p306 @p235 @p296 @p295 @p304) :args (@t254 @t224 (@list @t212 @t250 @t244 @t255))) % 50.70/50.99 (step @p308 :rule eq-symm :args (@t96 @t2)) % 50.70/50.99 (step @p309 :rule nary_cong :premises (@p194 @p308 @p284) :args (@t97)) % 50.70/50.99 (step @p310 :rule cong :premises (@p309) :args (@t98)) % 50.70/50.99 (step @p311 :rule eq_resolve :premises (@p107 @p310)) % 50.70/50.99 (step @p312 :rule instantiate :premises (@p311) :args (@t196)) % 50.70/50.99 (step @p313 :rule bool-double-not-elim :args (@t218)) % 50.70/50.99 (step @p314 :rule refl :args (@t213)) % 50.70/50.99 (step @p315 :rule refl :args (@t194)) % 50.70/50.99 (step @p316 :rule refl :args (@t256)) % 50.70/50.99 (step @p317 :rule nary_cong :premises (@p316 @p315 @p314 @p313) :args ((or @t256 @t194 @t213 @t257))) % 50.70/50.99 (assume-push @p920 @t219) % 50.70/50.99 (assume-push @p921 @t195) % 50.70/50.99 (assume-push @p922 @t193) % 50.70/50.99 (assume-push @p923 @t203) % 50.70/50.99 (step @p322 :rule evaluate :args (@t258)) % 50.70/50.99 (step @p323 :rule false_intro :premises (@p256)) % 50.70/50.99 (step @p324 :rule refl :args (tptp.sk4)) % 50.70/50.99 (step @p325 :rule cong :premises (@p921 @p324) :args ((tptp.segmentP tptp.nil tptp.sk4))) % 50.70/50.99 (step @p326 :rule symm :premises (@p921)) % 50.70/50.99 (step @p327 :rule cong :premises (@p326 @p922) :args ((tptp.segmentP tptp.sk3 tptp.nil))) % 50.70/50.99 (step @p328 :rule cong :premises (@p921 @p251) :args (@t203)) % 50.70/50.99 (step @p329 :rule true_intro :premises (@p231)) % 50.70/50.99 (step @p330 :rule symm :premises (@p329)) % 50.70/50.99 (step @p331 :rule trans :premises (@p330 @p328 @p327 @p325 @p323)) % 50.70/50.99 (step @p332 false :rule eq_resolve :premises (@p331 @p322)) % 50.70/50.99 (step-pop @p924 :rule scope :premises (@p332)) % 50.70/50.99 (step-pop @p925 :rule scope :premises (@p924)) % 50.70/50.99 (step-pop @p926 :rule scope :premises (@p925)) % 50.70/50.99 (step-pop @p927 :rule scope :premises (@p926)) % 50.70/50.99 (step @p333 :rule process_scope :premises (@p927) :args (false)) % 50.70/50.99 (assume-push @p928 @t195) % 50.70/50.99 (assume-push @p929 @t193) % 50.70/50.99 (assume-push @p930 @t203) % 50.70/50.99 (assume-push @p931 @t219) % 50.70/50.99 (step @p342 :rule and_intro :premises (@p256 @p928 @p929 @p231)) % 50.70/50.99 (step-pop @p932 :rule scope :premises (@p342)) % 50.70/50.99 (step-pop @p933 :rule scope :premises (@p932)) % 50.70/50.99 (step-pop @p934 :rule scope :premises (@p933)) % 50.70/50.99 (step-pop @p935 :rule scope :premises (@p934)) % 50.70/50.99 (step @p343 :rule process_scope :premises (@p935) :args (@t259)) % 50.70/50.99 (step @p348 :rule implies_elim :premises (@p343)) % 50.70/50.99 (step @p349 :rule resolution :premises (@p348 @p333) :args (true @t259)) % 50.70/50.99 (step @p350 :rule not_and :premises (@p349)) % 50.70/50.99 (step @p351 :rule eq_resolve :premises (@p350 @p317)) % 50.70/50.99 (step @p352 :rule reordering :premises (@p351) :args ((or @t194 @t213 @t256 @t218))) % 50.70/50.99 (step @p353 :rule chain_m_resolution :premises (@p352 @p256 @p231 @p192) :args (@t194 @t260 (@list @t218 @t203 @t195))) % 50.70/50.99 (step @p354 :rule cnf_or_pos :args (@t262)) % 50.70/50.99 (step @p355 :rule reordering :premises (@p354) :args ((or @t193 @t199 @t261 (not @t262)))) % 50.70/50.99 (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p186 @p312) :args (@t261 @t260 (@list @t193 @t173 @t262))) % 50.70/50.99 (step @p357 :rule instantiate :premises (@p130) :args ((@list tptp.nil tptp.sk4))) % 50.70/50.99 (step @p358 :rule cnf_or_pos :args (@t267)) % 50.70/50.99 (step @p359 :rule reordering :premises (@p358) :args ((or @t193 @t204 @t199 @t266 (not @t267)))) % 50.70/50.99 (step @p360 :rule chain_m_resolution :premises (@p359 @p353 @p8 @p186 @p357) :args (@t266 (@list true false false false) (@list @t193 @t1 @t173 @t267))) % 50.70/50.99 (step @p361 :rule instantiate :premises (@p279) :args (@t269)) % 50.70/50.99 (step @p362 :rule instantiate :premises (@p76) :args (@t196)) % 50.70/50.99 (step @p363 :rule cnf_or_pos :args (@t271)) % 50.70/50.99 (step @p364 :rule reordering :premises (@p363) :args ((or @t193 @t199 @t270 (not @t271)))) % 50.70/50.99 (step @p365 :rule chain_m_resolution :premises (@p364 @p353 @p186 @p362) :args (@t270 @t260 (@list @t193 @t173 @t271))) % 50.70/50.99 (step @p366 :rule cnf_or_pos :args (@t276)) % 50.70/50.99 (step @p367 :rule reordering :premises (@p366) :args ((or @t204 @t275 @t274 (not @t276)))) % 50.70/50.99 (step @p368 :rule chain_m_resolution :premises (@p367 @p8 @p365 @p361) :args (@t274 @t215 (@list @t1 @t270 @t276))) % 50.70/50.99 (step @p369 :rule eq-symm :args (@t54 @t2)) % 50.70/50.99 (step @p370 :rule nary_cong :premises (@p194 @p369) :args (@t55)) % 50.70/50.99 (step @p371 :rule cong :premises (@p370) :args (@t56)) % 50.70/50.99 (step @p372 :rule eq_resolve :premises (@p74 @p371)) % 50.70/50.99 (step @p373 :rule instantiate :premises (@p372) :args (@t278)) % 50.70/50.99 (assume-push @p936 @t198) % 50.70/50.99 (assume-push @p937 @t261) % 50.70/50.99 (assume-push @p938 @t266) % 50.70/50.99 (assume-push @p939 @t212) % 50.70/50.99 (assume-push @p940 @t231) % 50.70/50.99 (assume-push @p941 @t230) % 50.70/50.99 (assume-push @p942 @t248) % 50.70/50.99 (assume-push @p943 @t254) % 50.70/50.99 (assume-push @p944 @t231) % 50.70/50.99 (assume-push @p945 @t230) % 50.70/50.99 (assume-push @p946 @t261) % 50.70/50.99 (assume-push @p947 @t198) % 50.70/50.99 (assume-push @p948 @t266) % 50.70/50.99 (assume-push @p949 @t212) % 50.70/50.99 (assume-push @p950 @t248) % 50.70/50.99 (assume-push @p951 @t254) % 50.70/50.99 (step @p390 :rule true_intro :premises (@p263)) % 50.70/50.99 (step @p391 :rule symm :premises (@p267)) % 50.70/50.99 (step @p392 :rule symm :premises (@p201)) % 50.70/50.99 (step @p393 :rule trans :premises (@p392 @p937)) % 50.70/50.99 (step @p394 :rule cong :premises (@p393) :args (@t265)) % 50.70/50.99 (step @p395 :rule cong :premises (@p201) :args (@t263)) % 50.70/50.99 (step @p396 :rule trans :premises (@p395 @p394 @p391)) % 50.70/50.99 (step @p397 :rule cong :premises (@p396) :args ((tptp.ssList @t263))) % 50.70/50.99 (step @p398 :rule symm :premises (@p395)) % 50.70/50.99 (step @p399 :rule symm :premises (@p938)) % 50.70/50.99 (step @p400 :rule symm :premises (@p235)) % 50.70/50.99 (step @p401 :rule refl :args (@t263)) % 50.70/50.99 (step @p402 :rule cong :premises (@p401 @p400) :args (@t279)) % 50.70/50.99 (step @p403 :rule symm :premises (@p307)) % 50.70/50.99 (step @p404 :rule trans :premises (@p403 @p235)) % 50.70/50.99 (step @p405 :rule trans :premises (@p399 @p398)) % 50.70/50.99 (step @p406 :rule symm :premises (@p299)) % 50.70/50.99 (step @p407 :rule trans :premises (@p406 @p235)) % 50.70/50.99 (step @p408 :rule cong :premises (@p401 @p407) :args (@t280)) % 50.70/50.99 (step @p409 :rule trans :premises (@p408 @p402)) % 50.70/50.99 (step @p410 :rule trans :premises (@p409 @p405)) % 50.70/50.99 (step @p411 :rule cong :premises (@p410 @p404) :args (@t281)) % 50.70/50.99 (step @p412 :rule symm :premises (@p409)) % 50.70/50.99 (step @p413 :rule cong :premises (@p412 @p307) :args (@t277)) % 50.70/50.99 (step @p414 :rule trans :premises (@p413 @p411 @p402 @p399 @p398)) % 50.70/50.99 (step @p415 :rule cong :premises (@p414) :args (@t282)) % 50.70/50.99 (step @p416 :rule trans :premises (@p415 @p397 @p390)) % 50.70/50.99 (step @p417 :rule true_elim :premises (@p416)) % 50.70/50.99 (step-pop @p952 :rule scope :premises (@p417)) % 50.70/50.99 (step-pop @p953 :rule scope :premises (@p952)) % 50.70/50.99 (step-pop @p954 :rule scope :premises (@p953)) % 50.70/50.99 (step-pop @p955 :rule scope :premises (@p954)) % 50.70/50.99 (step-pop @p956 :rule scope :premises (@p955)) % 50.70/50.99 (step-pop @p957 :rule scope :premises (@p956)) % 50.70/50.99 (step-pop @p958 :rule scope :premises (@p957)) % 50.70/50.99 (step-pop @p959 :rule scope :premises (@p958)) % 50.70/50.99 (step @p418 :rule process_scope :premises (@p959) :args (@t282)) % 50.70/50.99 (step @p427 :rule and_intro :premises (@p263 @p267 @p937 @p201 @p938 @p235 @p299 @p307)) % 50.70/50.99 (step @p428 :rule modus_ponens :premises (@p427 @p418)) % 50.70/50.99 (step-pop @p960 :rule scope :premises (@p428)) % 50.70/50.99 (step-pop @p961 :rule scope :premises (@p960)) % 50.70/50.99 (step-pop @p962 :rule scope :premises (@p961)) % 50.70/50.99 (step-pop @p963 :rule scope :premises (@p962)) % 50.70/50.99 (step-pop @p964 :rule scope :premises (@p963)) % 50.70/50.99 (step-pop @p965 :rule scope :premises (@p964)) % 50.70/50.99 (step-pop @p966 :rule scope :premises (@p965)) % 50.70/50.99 (step-pop @p967 :rule scope :premises (@p966)) % 50.70/50.99 (step @p429 :rule process_scope :premises (@p967) :args (@t282)) % 50.70/50.99 (step @p438 :rule implies_elim :premises (@p429)) % 50.70/50.99 (step @p439 :rule cnf_and_neg :args (@t283)) % 50.70/50.99 (step @p440 :rule resolution :premises (@p439 @p438) :args (true @t283)) % 50.70/50.99 (step @p441 :rule reordering :premises (@p440) :args ((or @t289 @t288 @t287 @t252 @t232 @t286 @t282 @t285 @t284))) % 50.70/50.99 (step @p442 :rule chain_m_resolution :premises (@p441 @p201 @p356 @p360 @p235 @p263 @p299 @p267 @p307) :args (@t282 (@list false false false false false false false false) (@list @t198 @t261 @t266 @t212 @t231 @t248 @t230 @t254))) % 50.70/50.99 (step @p443 :rule cnf_or_pos :args (@t293)) % 50.70/50.99 (step @p444 :rule reordering :premises (@p443) :args ((or @t292 @t291 (not @t293)))) % 50.70/50.99 (step @p445 :rule chain_m_resolution :premises (@p444 @p442 @p373) :args (@t291 @t201 (@list @t282 @t293))) % 50.70/50.99 (step @p446 :rule instantiate :premises (@p372) :args ((@list @t272))) % 50.70/50.99 (step @p447 :rule instantiate :premises (@p84) :args (@t269)) % 50.70/50.99 (step @p448 :rule cnf_or_pos :args (@t295)) % 50.70/50.99 (step @p449 :rule reordering :premises (@p448) :args ((or @t204 @t275 @t294 (not @t295)))) % 50.70/50.99 (step @p450 :rule chain_m_resolution :premises (@p449 @p8 @p365 @p447) :args (@t294 @t215 (@list @t1 @t270 @t295))) % 50.70/50.99 (step @p451 :rule cnf_or_pos :args (@t298)) % 50.70/50.99 (step @p452 :rule reordering :premises (@p451) :args ((or @t297 @t296 (not @t298)))) % 50.70/50.99 (step @p453 :rule chain_m_resolution :premises (@p452 @p450 @p446) :args (@t296 @t201 (@list @t294 @t298))) % 50.70/50.99 (step @p454 :rule eq-symm :args (@t186 tptp.sk4)) % 50.70/50.99 (step @p455 :rule cong :premises (@p454) :args (@t187)) % 50.70/50.99 (step @p456 :rule eq-symm :args (@t188 tptp.sk3)) % 50.70/50.99 (step @p457 :rule refl :args (@t189)) % 50.70/50.99 (step @p458 :rule refl :args (@t190)) % 50.70/50.99 (step @p459 :rule nary_cong :premises (@p458 @p457 @p456 @p455) :args (@t191)) % 50.70/50.99 (step @p460 :rule cong :premises (@p459) :args (@t192)) % 50.70/50.99 (step @p461 :rule eq_resolve :premises (@p191 @p460)) % 50.70/50.99 (step @p462 :rule instantiate :premises (@p461) :args ((@list @t268 @t225))) % 50.70/50.99 (assume-push @p968 @t198) % 50.70/50.99 (assume-push @p969 @t261) % 50.70/50.99 (assume-push @p970 @t230) % 50.70/50.99 (assume-push @p971 @t237) % 50.70/50.99 (assume-push @p972 @t241) % 50.70/50.99 (assume-push @p973 @t198) % 50.70/50.99 (assume-push @p974 @t261) % 50.70/50.99 (assume-push @p975 @t237) % 50.70/50.99 (assume-push @p976 @t230) % 50.70/50.99 (assume-push @p977 @t241) % 50.70/50.99 (step @p391 :rule symm :premises (@p267)) % 50.70/50.99 (step @p392 :rule symm :premises (@p201)) % 50.70/50.99 (step @p473 :rule trans :premises (@p392 @p969)) % 50.70/50.99 (step @p474 :rule cong :premises (@p473) :args (@t265)) % 50.70/50.99 (step @p395 :rule cong :premises (@p201) :args (@t263)) % 50.70/50.99 (step @p475 :rule trans :premises (@p395 @p474 @p391)) % 50.70/50.99 (step @p476 :rule refl :args (@t272)) % 50.70/50.99 (step @p477 :rule cong :premises (@p476 @p475) :args (@t299)) % 50.70/50.99 (step @p478 :rule symm :premises (@p475)) % 50.70/50.99 (step @p479 :rule cong :premises (@p392) :args (@t300)) % 50.70/50.99 (step @p480 :rule symm :premises (@p473)) % 50.70/50.99 (step @p481 :rule cong :premises (@p480) :args (@t236)) % 50.70/50.99 (step @p482 :rule trans :premises (@p275 @p481 @p479)) % 50.70/50.99 (step @p483 :rule cong :premises (@p482 @p251) :args (@t239)) % 50.70/50.99 (step @p484 :rule cong :premises (@p483 @p478) :args (@t240)) % 50.70/50.99 (step @p485 :rule trans :premises (@p969 @p283 @p484 @p477)) % 50.70/50.99 (step-pop @p978 :rule scope :premises (@p485)) % 50.70/50.99 (step-pop @p979 :rule scope :premises (@p978)) % 50.70/50.99 (step-pop @p980 :rule scope :premises (@p979)) % 50.70/50.99 (step-pop @p981 :rule scope :premises (@p980)) % 50.70/50.99 (step-pop @p982 :rule scope :premises (@p981)) % 50.70/50.99 (step @p486 :rule process_scope :premises (@p982) :args (@t301)) % 50.70/50.99 (step @p492 :rule and_intro :premises (@p201 @p969 @p275 @p267 @p283)) % 50.70/50.99 (step @p493 :rule modus_ponens :premises (@p492 @p486)) % 50.70/50.99 (step-pop @p983 :rule scope :premises (@p493)) % 50.70/50.99 (step-pop @p984 :rule scope :premises (@p983)) % 50.70/50.99 (step-pop @p985 :rule scope :premises (@p984)) % 50.70/50.99 (step-pop @p986 :rule scope :premises (@p985)) % 50.70/50.99 (step-pop @p987 :rule scope :premises (@p986)) % 50.70/50.99 (step @p494 :rule process_scope :premises (@p987) :args (@t301)) % 50.70/50.99 (step @p500 :rule implies_elim :premises (@p494)) % 50.70/50.99 (step @p501 :rule cnf_and_neg :args (@t302)) % 50.70/50.99 (step @p502 :rule resolution :premises (@p501 @p500) :args (true @t302)) % 50.70/50.99 (step @p503 :rule chain_m_resolution :premises (@p502 @p201 @p356 @p267 @p275 @p283) :args (@t301 @t303 (@list @t198 @t261 @t230 @t237 @t241))) % 50.70/50.99 (step @p504 :rule cnf_or_pos :args (@t307)) % 50.70/50.99 (step @p505 :rule reordering :premises (@p504) :args ((or @t275 @t232 @t306 @t304 (not @t307)))) % 50.70/50.99 (step @p506 :rule chain_m_resolution :premises (@p505 @p365 @p263 @p503 @p462) :args (@t306 @t224 (@list @t270 @t231 @t301 @t307))) % 50.70/50.99 (step @p507 :rule instantiate :premises (@p57) :args ((@list tptp.sk3))) % 50.70/50.99 (step @p508 :rule cnf_or_pos :args (@t310)) % 50.70/50.99 (step @p509 :rule reordering :premises (@p508) :args ((or @t309 @t308 (not @t310)))) % 50.70/50.99 (step @p510 :rule chain_m_resolution :premises (@p509 @p185 @p507) :args (@t308 @t201 (@list @t172 @t310))) % 50.70/50.99 (step @p511 :rule eq-symm :args (@t40 @t2)) % 50.70/50.99 (step @p512 :rule refl :args (@t82)) % 50.70/50.99 (step @p513 :rule nary_cong :premises (@p194 @p203 @p512 @p511) :args (@t83)) % 50.70/50.99 (step @p514 :rule cong :premises (@p513) :args (@t84)) % 50.70/50.99 (step @p515 :rule eq_resolve :premises (@p98 @p514)) % 50.70/50.99 (step @p516 :rule instantiate :premises (@p515) :args ((@list tptp.nil @t277))) % 50.70/50.99 (step @p517 :rule instantiate :premises (@p245) :args (@t278)) % 50.70/50.99 (step @p518 :rule instantiate :premises (@p169) :args ((@list @t277 @t277 @t272 tptp.nil))) % 50.70/50.99 (step @p519 :rule instantiate :premises (@p57) :args (@t278)) % 50.70/50.99 (step @p520 :rule cnf_or_pos :args (@t312)) % 50.70/50.99 (step @p521 :rule reordering :premises (@p520) :args ((or @t292 @t311 (not @t312)))) % 50.70/50.99 (step @p522 :rule chain_m_resolution :premises (@p521 @p442 @p519) :args (@t311 @t201 (@list @t282 @t312))) % 50.70/50.99 (step @p523 :rule cnf_or_pos :args (@t316)) % 50.70/50.99 (step @p524 :rule factoring :premises (@p523)) % 50.70/50.99 (step @p525 :rule reordering :premises (@p524) :args ((or @t204 @t297 @t292 @t315 @t314 (not @t316)))) % 50.70/50.99 (step @p526 :rule chain_m_resolution :premises (@p525 @p8 @p450 @p442 @p522 @p518) :args (@t314 @t303 (@list @t1 @t294 @t282 @t311 @t316))) % 50.70/50.99 (assume-push @p988 @t198) % 50.70/50.99 (assume-push @p989 @t261) % 50.70/50.99 (assume-push @p990 @t266) % 50.70/50.99 (assume-push @p991 @t212) % 50.70/50.99 (assume-push @p992 @t230) % 50.70/50.99 (assume-push @p993 @t237) % 50.70/50.99 (assume-push @p994 @t248) % 50.70/50.99 (assume-push @p995 @t254) % 50.70/50.99 (assume-push @p996 @t306) % 50.70/50.99 (assume-push @p997 @t291) % 50.70/50.99 (assume-push @p998 @t314) % 50.70/50.99 (assume-push @p999 @t314) % 50.70/50.99 (assume-push @p1000 @t291) % 50.70/50.99 (assume-push @p1001 @t212) % 50.70/50.99 (assume-push @p1002 @t248) % 50.70/50.99 (assume-push @p1003 @t254) % 50.70/50.99 (assume-push @p1004 @t266) % 50.70/50.99 (assume-push @p1005 @t198) % 50.70/50.99 (assume-push @p1006 @t261) % 50.70/50.99 (assume-push @p1007 @t230) % 50.70/50.99 (assume-push @p1008 @t237) % 50.70/50.99 (assume-push @p1009 @t306) % 50.70/50.99 (step @p549 :rule true_intro :premises (@p998)) % 50.70/50.99 (step @p550 :rule refl :args (@t277)) % 50.70/50.99 (step @p392 :rule symm :premises (@p201)) % 50.70/50.99 (step @p479 :rule cong :premises (@p392) :args (@t300)) % 50.70/50.99 (step @p551 :rule symm :premises (@p989)) % 50.70/50.99 (step @p552 :rule trans :premises (@p551 @p201)) % 50.70/50.99 (step @p553 :rule cong :premises (@p552) :args (@t236)) % 50.70/50.99 (step @p554 :rule trans :premises (@p275 @p553 @p479)) % 50.70/50.99 (step @p555 :rule cong :premises (@p554 @p251) :args (@t239)) % 50.70/50.99 (step @p403 :rule symm :premises (@p307)) % 50.70/50.99 (step @p400 :rule symm :premises (@p235)) % 50.70/50.99 (step @p401 :rule refl :args (@t263)) % 50.70/50.99 (step @p402 :rule cong :premises (@p401 @p400) :args (@t279)) % 50.70/50.99 (step @p406 :rule symm :premises (@p299)) % 50.70/50.99 (step @p407 :rule trans :premises (@p406 @p235)) % 50.70/50.99 (step @p408 :rule cong :premises (@p401 @p407) :args (@t280)) % 50.70/50.99 (step @p409 :rule trans :premises (@p408 @p402)) % 50.70/50.99 (step @p556 :rule cong :premises (@p409 @p403) :args (@t281)) % 50.70/50.99 (step @p557 :rule trans :premises (@p400 @p307)) % 50.70/50.99 (step @p412 :rule symm :premises (@p409)) % 50.70/50.99 (step @p395 :rule cong :premises (@p201) :args (@t263)) % 50.70/50.99 (step @p558 :rule trans :premises (@p395 @p990)) % 50.70/50.99 (step @p559 :rule trans :premises (@p558 @p412)) % 50.70/50.99 (step @p560 :rule cong :premises (@p559 @p557) :args (@t279)) % 50.70/50.99 (step @p561 :rule symm :premises (@p402)) % 50.70/50.99 (step @p562 :rule trans :premises (@p395 @p990 @p561 @p560 @p556 @p997)) % 50.70/50.99 (step @p398 :rule symm :premises (@p395)) % 50.70/50.99 (step @p563 :rule cong :premises (@p552) :args (@t229)) % 50.70/50.99 (step @p564 :rule trans :premises (@p267 @p563 @p398)) % 50.70/50.99 (step @p565 :rule trans :premises (@p564 @p562)) % 50.70/50.99 (step @p566 :rule cong :premises (@p565 @p555) :args (@t317)) % 50.70/50.99 (step @p567 :rule symm :premises (@p555)) % 50.70/50.99 (step @p568 :rule refl :args (@t225)) % 50.70/50.99 (step @p569 :rule cong :premises (@p568 @p567) :args (@t305)) % 50.70/50.99 (step @p570 :rule trans :premises (@p996 @p569 @p566)) % 50.70/50.99 (step @p571 :rule cong :premises (@p570 @p550) :args (@t318)) % 50.70/50.99 (step @p572 :rule trans :premises (@p571 @p549)) % 50.70/50.99 (step @p573 :rule true_elim :premises (@p572)) % 50.70/50.99 (step-pop @p1010 :rule scope :premises (@p573)) % 50.70/50.99 (step-pop @p1011 :rule scope :premises (@p1010)) % 50.70/50.99 (step-pop @p1012 :rule scope :premises (@p1011)) % 50.70/50.99 (step-pop @p1013 :rule scope :premises (@p1012)) % 50.70/50.99 (step-pop @p1014 :rule scope :premises (@p1013)) % 50.70/50.99 (step-pop @p1015 :rule scope :premises (@p1014)) % 50.70/50.99 (step-pop @p1016 :rule scope :premises (@p1015)) % 50.70/50.99 (step-pop @p1017 :rule scope :premises (@p1016)) % 50.70/50.99 (step-pop @p1018 :rule scope :premises (@p1017)) % 50.70/50.99 (step-pop @p1019 :rule scope :premises (@p1018)) % 50.70/50.99 (step-pop @p1020 :rule scope :premises (@p1019)) % 50.70/50.99 (step @p574 :rule process_scope :premises (@p1020) :args (@t318)) % 50.70/50.99 (step @p586 :rule and_intro :premises (@p998 @p997 @p235 @p299 @p307 @p990 @p201 @p989 @p267 @p275 @p996)) % 50.70/50.99 (step @p587 :rule modus_ponens :premises (@p586 @p574)) % 50.70/50.99 (step-pop @p1021 :rule scope :premises (@p587)) % 50.70/50.99 (step-pop @p1022 :rule scope :premises (@p1021)) % 50.70/50.99 (step-pop @p1023 :rule scope :premises (@p1022)) % 50.70/50.99 (step-pop @p1024 :rule scope :premises (@p1023)) % 50.70/50.99 (step-pop @p1025 :rule scope :premises (@p1024)) % 50.70/50.99 (step-pop @p1026 :rule scope :premises (@p1025)) % 50.70/50.99 (step-pop @p1027 :rule scope :premises (@p1026)) % 50.70/50.99 (step-pop @p1028 :rule scope :premises (@p1027)) % 50.70/50.99 (step-pop @p1029 :rule scope :premises (@p1028)) % 50.70/50.99 (step-pop @p1030 :rule scope :premises (@p1029)) % 50.70/50.99 (step-pop @p1031 :rule scope :premises (@p1030)) % 50.70/50.99 (step @p588 :rule process_scope :premises (@p1031) :args (@t318)) % 50.70/50.99 (step @p600 :rule implies_elim :premises (@p588)) % 50.70/50.99 (step @p601 :rule cnf_and_neg :args (@t319)) % 50.70/50.99 (step @p602 :rule resolution :premises (@p601 @p600) :args (true @t319)) % 50.70/50.99 (step @p603 :rule reordering :premises (@p602) :args ((or @t289 @t288 @t287 @t252 @t286 @t285 @t322 @t284 @t318 @t321 @t320 (not @t314)))) % 50.70/50.99 (step @p604 :rule chain_m_resolution :premises (@p603 @p201 @p356 @p360 @p235 @p299 @p267 @p275 @p307 @p506 @p445 @p526) :args (@t318 (@list false false false false false false false false false false false) (@list @t198 @t261 @t266 @t212 @t248 @t230 @t237 @t254 @t306 @t291 @t314))) % 50.70/50.99 (step @p605 :rule aci_norm :args ((= (or false @t133 @t47 @t67 @t324 @t323) (or @t133 @t47 @t67 @t324 @t323)))) % 50.70/50.99 (step @p606 :rule refl :args (@t323)) % 50.70/50.99 (step @p607 :rule refl :args (@t324)) % 50.70/50.99 (step @p608 :rule refl :args (@t133)) % 50.70/50.99 (step @p609 :rule eq-refl :args (@t156)) % 50.70/50.99 (step @p610 :rule cong :premises (@p609) :args (@t325)) % 50.70/50.99 (step @p611 :rule trans :premises (@p610 @p212)) % 50.70/50.99 (step @p612 :rule nary_cong :premises (@p611 @p608 @p194 @p203 @p607 @p606) :args (@t326)) % 50.70/50.99 (step @p613 :rule trans :premises (@p612 @p605)) % 50.70/50.99 (step @p614 :rule cong :premises (@p613) :args ((forall @t134 @t326))) % 50.70/50.99 (step @p615 :rule quant-var-elim-eq :args ((= (forall @t329 @t328) @t326))) % 50.70/50.99 (step @p616 :rule aci_norm :args ((= @t330 @t328))) % 50.70/50.99 (step @p617 :rule cong :premises (@p616) :args (@t331)) % 50.70/50.99 (step @p618 :rule trans :premises (@p617 @p615)) % 50.70/50.99 (step @p619 :rule cong :premises (@p618) :args (@t332)) % 50.70/50.99 (step @p620 :rule quant-merge-prenex :args ((= @t332 (forall @t154 @t330)))) % 50.70/50.99 (step @p621 :rule symm :premises (@p620)) % 50.70/50.99 (step @p622 :rule trans :premises (@p621 @p619)) % 50.70/50.99 (step @p623 :rule trans :premises (@p622 @p614)) % 50.70/50.99 (step @p624 :rule refl :args (@t155)) % 50.70/50.99 (step @p625 :rule refl :args (@t151)) % 50.70/50.99 (step @p626 :rule eq-symm :args (@t156 @t150)) % 50.70/50.99 (step @p627 :rule cong :premises (@p626) :args (@t157)) % 50.70/50.99 (step @p628 :rule nary_cong :premises (@p627 @p608 @p194 @p203 @p625 @p624) :args (@t158)) % 50.70/50.99 (step @p629 :rule cong :premises (@p628) :args (@t159)) % 50.70/50.99 (step @p630 :rule trans :premises (@p629 @p623)) % 50.70/50.99 (step @p631 :rule eq_resolve :premises (@p170 @p630)) % 50.70/50.99 (step @p632 :rule instantiate :premises (@p631) :args ((@list @t239 @t225 @t333))) % 50.70/50.99 (step @p633 :rule eq-symm :args (@t125 @t2)) % 50.70/50.99 (step @p634 :rule refl :args (@t123)) % 50.70/50.99 (step @p635 :rule nary_cong :premises (@p634 @p203 @p194 @p633) :args (@t126)) % 50.70/50.99 (step @p636 :rule cong :premises (@p635) :args (@t127)) % 50.70/50.99 (step @p637 :rule eq_resolve :premises (@p129 @p636)) % 50.70/50.99 (step @p638 :rule instantiate :premises (@p637) :args (@t334)) % 50.70/50.99 (step @p639 :rule instantiate :premises (@p61) :args (@t196)) % 50.70/50.99 (step @p640 :rule cnf_or_pos :args (@t336)) % 50.70/50.99 (step @p641 :rule reordering :premises (@p640) :args ((or @t199 @t335 (not @t336)))) % 50.70/50.99 (step @p642 :rule chain_m_resolution :premises (@p641 @p186 @p639) :args (@t335 @t201 (@list @t173 @t336))) % 50.70/50.99 (step @p643 :rule cnf_or_pos :args (@t340)) % 50.70/50.99 (step @p644 :rule factoring :premises (@p643)) % 50.70/50.99 (step @p645 :rule reordering :premises (@p644) :args ((or @t199 @t339 @t338 (not @t340)))) % 50.70/50.99 (step @p646 :rule chain_m_resolution :premises (@p645 @p186 @p642 @p638) :args (@t338 @t215 (@list @t173 @t335 @t340))) % 50.70/50.99 (assume-push @p1032 @t173) % 50.70/50.99 (assume-push @p1033 @t198) % 50.70/50.99 (assume-push @p1034 @t261) % 50.70/50.99 (assume-push @p1035 @t241) % 50.70/50.99 (assume-push @p1036 @t338) % 50.70/50.99 (assume-push @p1037 @t173) % 50.70/50.99 (assume-push @p1038 @t338) % 50.70/50.99 (assume-push @p1039 @t198) % 50.70/50.99 (assume-push @p1040 @t261) % 50.70/50.99 (assume-push @p1041 @t241) % 50.70/50.99 (step @p657 :rule true_intro :premises (@p186)) % 50.70/50.99 (step @p658 :rule symm :premises (@p646)) % 50.70/50.99 (step @p659 :rule refl :args (@t333)) % 50.70/50.99 (step @p392 :rule symm :premises (@p201)) % 50.70/50.99 (step @p660 :rule symm :premises (@p1034)) % 50.70/50.99 (step @p661 :rule symm :premises (@p283)) % 50.70/50.99 (step @p662 :rule trans :premises (@p661 @p660 @p201)) % 50.70/50.99 (step @p663 :rule trans :premises (@p662 @p392)) % 50.70/50.99 (step @p664 :rule cong :premises (@p663 @p659) :args (@t341)) % 50.70/50.99 (step @p665 :rule trans :premises (@p664 @p658)) % 50.70/50.99 (step @p666 :rule cong :premises (@p665) :args (@t342)) % 50.70/50.99 (step @p667 :rule trans :premises (@p666 @p657)) % 50.70/50.99 (step @p668 :rule true_elim :premises (@p667)) % 50.70/50.99 (step-pop @p1042 :rule scope :premises (@p668)) % 50.70/50.99 (step-pop @p1043 :rule scope :premises (@p1042)) % 50.70/50.99 (step-pop @p1044 :rule scope :premises (@p1043)) % 50.70/50.99 (step-pop @p1045 :rule scope :premises (@p1044)) % 50.70/50.99 (step-pop @p1046 :rule scope :premises (@p1045)) % 50.70/50.99 (step @p669 :rule process_scope :premises (@p1046) :args (@t342)) % 50.70/50.99 (step @p675 :rule and_intro :premises (@p186 @p646 @p201 @p1034 @p283)) % 50.70/50.99 (step @p676 :rule modus_ponens :premises (@p675 @p669)) % 50.70/50.99 (step-pop @p1047 :rule scope :premises (@p676)) % 50.70/50.99 (step-pop @p1048 :rule scope :premises (@p1047)) % 50.70/50.99 (step-pop @p1049 :rule scope :premises (@p1048)) % 50.70/50.99 (step-pop @p1050 :rule scope :premises (@p1049)) % 50.70/50.99 (step-pop @p1051 :rule scope :premises (@p1050)) % 50.70/50.99 (step @p677 :rule process_scope :premises (@p1051) :args (@t342)) % 50.70/50.99 (step @p683 :rule implies_elim :premises (@p677)) % 50.70/50.99 (step @p684 :rule cnf_and_neg :args (@t343)) % 50.70/50.99 (step @p685 :rule resolution :premises (@p684 @p683) :args (true @t343)) % 50.70/50.99 (step @p686 :rule chain_m_resolution :premises (@p685 @p186 @p201 @p356 @p283 @p646) :args (@t342 @t303 (@list @t173 @t198 @t261 @t241 @t338))) % 50.70/50.99 (step @p687 :rule instantiate :premises (@p51) :args (@t334)) % 50.70/50.99 (assume-push @p1052 @t198) % 50.70/50.99 (assume-push @p1053 @t261) % 50.70/50.99 (assume-push @p1054 @t237) % 50.70/50.99 (assume-push @p1055 @t294) % 50.70/50.99 (assume-push @p1056 @t294) % 50.70/50.99 (assume-push @p1057 @t198) % 50.70/50.99 (assume-push @p1058 @t261) % 50.70/50.99 (assume-push @p1059 @t237) % 50.70/50.99 (step @p696 :rule true_intro :premises (@p1055)) % 50.70/50.99 (step @p392 :rule symm :premises (@p201)) % 50.70/50.99 (step @p479 :rule cong :premises (@p392) :args (@t300)) % 50.70/50.99 (step @p697 :rule symm :premises (@p1053)) % 50.70/50.99 (step @p698 :rule trans :premises (@p697 @p201)) % 50.70/50.99 (step @p699 :rule cong :premises (@p698) :args (@t236)) % 50.70/50.99 (step @p700 :rule trans :premises (@p275 @p699 @p479)) % 50.70/50.99 (step @p701 :rule cong :premises (@p700 @p251) :args (@t239)) % 50.70/50.99 (step @p702 :rule cong :premises (@p701) :args (@t344)) % 50.70/50.99 (step @p703 :rule trans :premises (@p702 @p696)) % 50.70/50.99 (step @p704 :rule true_elim :premises (@p703)) % 50.70/50.99 (step-pop @p1060 :rule scope :premises (@p704)) % 50.70/50.99 (step-pop @p1061 :rule scope :premises (@p1060)) % 50.70/50.99 (step-pop @p1062 :rule scope :premises (@p1061)) % 50.70/50.99 (step-pop @p1063 :rule scope :premises (@p1062)) % 50.70/50.99 (step @p705 :rule process_scope :premises (@p1063) :args (@t344)) % 50.70/50.99 (step @p710 :rule and_intro :premises (@p1055 @p201 @p1053 @p275)) % 50.70/50.99 (step @p711 :rule modus_ponens :premises (@p710 @p705)) % 50.70/50.99 (step-pop @p1064 :rule scope :premises (@p711)) % 50.70/50.99 (step-pop @p1065 :rule scope :premises (@p1064)) % 50.70/50.99 (step-pop @p1066 :rule scope :premises (@p1065)) % 50.70/50.99 (step-pop @p1067 :rule scope :premises (@p1066)) % 50.70/50.99 (step @p712 :rule process_scope :premises (@p1067) :args (@t344)) % 50.70/50.99 (step @p717 :rule implies_elim :premises (@p712)) % 50.70/50.99 (step @p718 :rule cnf_and_neg :args (@t345)) % 50.70/50.99 (step @p719 :rule resolution :premises (@p718 @p717) :args (true @t345)) % 50.70/50.99 (step @p720 :rule reordering :premises (@p719) :args ((or @t289 @t288 @t297 @t322 @t344))) % 50.70/50.99 (step @p721 :rule chain_m_resolution :premises (@p720 @p201 @p356 @p450 @p275) :args (@t344 @t224 (@list @t198 @t261 @t294 @t237))) % 50.70/50.99 (step @p722 :rule cnf_or_pos :args (@t351)) % 50.70/50.99 (step @p723 :rule reordering :premises (@p722) :args ((or @t232 @t348 @t350 @t347 @t346 (not @t351)))) % 50.70/50.99 (step @p724 :rule chain_m_resolution :premises (@p723 @p263 @p721 @p687 @p686 @p632) :args (@t346 @t303 (@list @t231 @t344 @t349 @t342 @t351))) % 50.70/50.99 (assume-push @p1068 @t198) % 50.70/50.99 (assume-push @p1069 @t261) % 50.70/50.99 (assume-push @p1070 @t266) % 50.70/50.99 (assume-push @p1071 @t212) % 50.70/50.99 (assume-push @p1072 @t230) % 50.70/50.99 (assume-push @p1073 @t248) % 50.70/50.99 (assume-push @p1074 @t254) % 50.70/50.99 (assume-push @p1075 @t241) % 50.70/50.99 (assume-push @p1076 @t338) % 50.70/50.99 (assume-push @p1077 @t346) % 50.70/50.99 (assume-push @p1078 @t346) % 50.70/50.99 (assume-push @p1079 @t241) % 50.70/50.99 (assume-push @p1080 @t261) % 50.70/50.99 (assume-push @p1081 @t198) % 50.70/50.99 (assume-push @p1082 @t338) % 50.70/50.99 (assume-push @p1083 @t230) % 50.70/50.99 (assume-push @p1084 @t266) % 50.70/50.99 (assume-push @p1085 @t212) % 50.70/50.99 (assume-push @p1086 @t248) % 50.70/50.99 (assume-push @p1087 @t254) % 50.70/50.99 (step @p745 :rule true_intro :premises (@p1077)) % 50.70/50.99 (step @p391 :rule symm :premises (@p267)) % 50.70/50.99 (step @p392 :rule symm :premises (@p201)) % 50.70/50.99 (step @p746 :rule trans :premises (@p392 @p1069)) % 50.70/50.99 (step @p747 :rule cong :premises (@p746) :args (@t265)) % 50.70/50.99 (step @p748 :rule symm :premises (@p1070)) % 50.70/50.99 (step @p400 :rule symm :premises (@p235)) % 50.70/50.99 (step @p401 :rule refl :args (@t263)) % 50.70/50.99 (step @p402 :rule cong :premises (@p401 @p400) :args (@t279)) % 50.70/50.99 (step @p403 :rule symm :premises (@p307)) % 50.70/50.99 (step @p404 :rule trans :premises (@p403 @p235)) % 50.70/50.99 (step @p395 :rule cong :premises (@p201) :args (@t263)) % 50.70/50.99 (step @p398 :rule symm :premises (@p395)) % 50.70/50.99 (step @p749 :rule trans :premises (@p748 @p398)) % 50.70/50.99 (step @p406 :rule symm :premises (@p299)) % 50.70/50.99 (step @p407 :rule trans :premises (@p406 @p235)) % 50.70/50.99 (step @p408 :rule cong :premises (@p401 @p407) :args (@t280)) % 50.70/50.99 (step @p409 :rule trans :premises (@p408 @p402)) % 50.70/50.99 (step @p750 :rule trans :premises (@p409 @p749)) % 50.70/50.99 (step @p751 :rule cong :premises (@p750 @p404) :args (@t281)) % 50.70/50.99 (step @p412 :rule symm :premises (@p409)) % 50.70/50.99 (step @p413 :rule cong :premises (@p412 @p307) :args (@t277)) % 50.70/50.99 (step @p752 :rule trans :premises (@p413 @p751 @p402 @p748 @p747 @p391)) % 50.70/50.99 (step @p659 :rule refl :args (@t333)) % 50.70/50.99 (step @p753 :rule trans :premises (@p392 @p1069 @p283)) % 50.70/50.99 (step @p754 :rule trans :premises (@p201 @p753)) % 50.70/50.99 (step @p755 :rule cong :premises (@p754 @p659) :args (@t337)) % 50.70/50.99 (step @p756 :rule trans :premises (@p646 @p755)) % 50.70/50.99 (step @p757 :rule cong :premises (@p756 @p752) :args (@t352)) % 50.70/50.99 (step @p758 :rule trans :premises (@p757 @p745)) % 50.70/50.99 (step @p759 :rule true_elim :premises (@p758)) % 50.70/50.99 (step-pop @p1088 :rule scope :premises (@p759)) % 50.70/50.99 (step-pop @p1089 :rule scope :premises (@p1088)) % 50.70/50.99 (step-pop @p1090 :rule scope :premises (@p1089)) % 50.70/50.99 (step-pop @p1091 :rule scope :premises (@p1090)) % 50.70/50.99 (step-pop @p1092 :rule scope :premises (@p1091)) % 50.70/50.99 (step-pop @p1093 :rule scope :premises (@p1092)) % 50.70/50.99 (step-pop @p1094 :rule scope :premises (@p1093)) % 50.70/50.99 (step-pop @p1095 :rule scope :premises (@p1094)) % 50.70/50.99 (step-pop @p1096 :rule scope :premises (@p1095)) % 50.70/50.99 (step-pop @p1097 :rule scope :premises (@p1096)) % 50.70/50.99 (step @p760 :rule process_scope :premises (@p1097) :args (@t352)) % 50.70/50.99 (step @p771 :rule and_intro :premises (@p1077 @p283 @p1069 @p201 @p646 @p267 @p1070 @p235 @p299 @p307)) % 50.70/50.99 (step @p772 :rule modus_ponens :premises (@p771 @p760)) % 50.70/50.99 (step-pop @p1098 :rule scope :premises (@p772)) % 50.70/50.99 (step-pop @p1099 :rule scope :premises (@p1098)) % 50.70/50.99 (step-pop @p1100 :rule scope :premises (@p1099)) % 50.70/50.99 (step-pop @p1101 :rule scope :premises (@p1100)) % 50.70/50.99 (step-pop @p1102 :rule scope :premises (@p1101)) % 50.70/50.99 (step-pop @p1103 :rule scope :premises (@p1102)) % 50.70/50.99 (step-pop @p1104 :rule scope :premises (@p1103)) % 50.70/50.99 (step-pop @p1105 :rule scope :premises (@p1104)) % 50.70/50.99 (step-pop @p1106 :rule scope :premises (@p1105)) % 50.70/50.99 (step-pop @p1107 :rule scope :premises (@p1106)) % 50.70/50.99 (step @p773 :rule process_scope :premises (@p1107) :args (@t352)) % 50.70/50.99 (step @p784 :rule implies_elim :premises (@p773)) % 50.70/50.99 (step @p785 :rule cnf_and_neg :args (@t353)) % 50.70/50.99 (step @p786 :rule resolution :premises (@p785 @p784) :args (true @t353)) % 50.70/50.99 (step @p787 :rule reordering :premises (@p786) :args ((or @t289 @t288 @t287 @t252 @t286 @t285 @t284 @t354 (not @t338) @t352 (not @t346)))) % 50.70/50.99 (step @p788 :rule chain_m_resolution :premises (@p787 @p201 @p356 @p360 @p235 @p299 @p267 @p307 @p283 @p646 @p724) :args (@t352 (@list false false false false false false false false false false) (@list @t198 @t261 @t266 @t212 @t248 @t230 @t254 @t241 @t338 @t346))) % 50.70/50.99 (step @p789 :rule cnf_or_pos :args (@t359)) % 50.70/50.99 (step @p790 :rule reordering :premises (@p789) :args ((or @t292 @t358 @t356 @t355 (not @t359)))) % 50.70/50.99 (step @p791 :rule chain_m_resolution :premises (@p790 @p442 @p788 @p604 @p517) :args (@t358 @t224 (@list @t282 @t352 @t318 @t359))) % 50.70/50.99 (step @p792 :rule cnf_or_pos :args (@t361)) % 50.70/50.99 (step @p793 :rule reordering :premises (@p792) :args ((or @t204 @t292 @t360 @t357 (not @t361)))) % 50.70/50.99 (step @p794 :rule chain_m_resolution :premises (@p793 @p8 @p442 @p791 @p516) :args (@t360 (@list false false true false) (@list @t1 @t282 @t357 @t361))) % 50.70/50.99 (step @p795 :rule refl :args (@t362)) % 50.70/50.99 (step @p796 :rule refl :args (@t363)) % 50.70/50.99 (step @p797 :rule refl :args (@t320)) % 50.70/50.99 (step @p798 :rule refl :args (@t321)) % 50.70/50.99 (step @p799 :rule refl :args (@t364)) % 50.70/50.99 (step @p800 :rule refl :args (@t365)) % 50.70/50.99 (step @p801 :rule refl :args (@t354)) % 50.70/50.99 (step @p802 :rule refl :args (@t284)) % 50.70/50.99 (step @p803 :rule refl :args (@t286)) % 50.70/50.99 (step @p804 :rule refl :args (@t322)) % 50.70/50.99 (step @p805 :rule refl :args (@t285)) % 50.70/50.99 (step @p806 :rule refl :args (@t252)) % 50.70/50.99 (step @p807 :rule refl :args (@t287)) % 50.70/50.99 (step @p808 :rule refl :args (@t288)) % 50.70/50.99 (step @p809 :rule refl :args (@t289)) % 50.70/50.99 (step @p810 :rule nary_cong :premises (@p809 @p808 @p807 @p806 @p313 @p805 @p804 @p803 @p802 @p801 @p800 @p799 @p798 @p797 @p796 @p795) :args ((or @t289 @t288 @t287 @t252 @t257 @t285 @t322 @t286 @t284 @t354 @t365 @t364 @t321 @t320 @t363 @t362))) % 50.70/50.99 (assume-push @p1108 @t219) % 50.70/50.99 (assume-push @p1109 @t261) % 50.70/50.99 (assume-push @p1110 @t241) % 50.70/50.99 (assume-push @p1111 @t237) % 50.70/50.99 (assume-push @p1112 @t198) % 50.70/50.99 (assume-push @p1113 @t230) % 50.70/50.99 (assume-push @p1114 @t266) % 50.70/50.99 (assume-push @p1115 @t212) % 50.70/50.99 (assume-push @p1116 @t248) % 50.70/50.99 (assume-push @p1117 @t254) % 50.70/50.99 (assume-push @p1118 @t360) % 50.70/50.99 (assume-push @p1119 @t274) % 50.70/50.99 (assume-push @p1120 @t296) % 50.70/50.99 (assume-push @p1121 @t291) % 50.70/50.99 (assume-push @p1122 @t306) % 50.70/50.99 (assume-push @p1123 @t308) % 50.70/50.99 (step @p322 :rule evaluate :args (@t258)) % 50.70/50.99 (step @p323 :rule false_intro :premises (@p256)) % 50.70/50.99 (step @p827 :rule symm :premises (@p1109)) % 50.70/50.99 (step @p661 :rule symm :premises (@p283)) % 50.70/50.99 (step @p391 :rule symm :premises (@p267)) % 50.70/50.99 (step @p392 :rule symm :premises (@p201)) % 50.70/50.99 (step @p828 :rule trans :premises (@p392 @p1109)) % 50.70/50.99 (step @p829 :rule cong :premises (@p828) :args (@t265)) % 50.70/50.99 (step @p395 :rule cong :premises (@p201) :args (@t263)) % 50.70/50.99 (step @p830 :rule trans :premises (@p395 @p829 @p391)) % 50.70/50.99 (step @p831 :rule symm :premises (@p275)) % 50.70/50.99 (step @p832 :rule cong :premises (@p828) :args (@t300)) % 50.70/50.99 (step @p833 :rule cong :premises (@p201) :args (@t268)) % 50.70/50.99 (step @p834 :rule trans :premises (@p833 @p832 @p831)) % 50.70/50.99 (step @p835 :rule cong :premises (@p834 @p251) :args (@t272)) % 50.70/50.99 (step @p836 :rule cong :premises (@p835 @p830) :args (@t299)) % 50.70/50.99 (step @p398 :rule symm :premises (@p395)) % 50.70/50.99 (step @p837 :rule symm :premises (@p1114)) % 50.70/50.99 (step @p400 :rule symm :premises (@p235)) % 50.70/50.99 (step @p401 :rule refl :args (@t263)) % 50.70/51.00 (step @p402 :rule cong :premises (@p401 @p400) :args (@t279)) % 50.70/51.00 (step @p403 :rule symm :premises (@p307)) % 50.70/51.00 (step @p404 :rule trans :premises (@p403 @p235)) % 50.70/51.00 (step @p838 :rule trans :premises (@p837 @p398)) % 50.70/51.00 (step @p406 :rule symm :premises (@p299)) % 50.70/51.00 (step @p407 :rule trans :premises (@p406 @p235)) % 50.70/51.00 (step @p408 :rule cong :premises (@p401 @p407) :args (@t280)) % 50.70/51.00 (step @p409 :rule trans :premises (@p408 @p402)) % 50.70/51.00 (step @p839 :rule trans :premises (@p409 @p838)) % 50.70/51.00 (step @p840 :rule cong :premises (@p839 @p404) :args (@t281)) % 50.70/51.00 (step @p412 :rule symm :premises (@p409)) % 50.70/51.00 (step @p413 :rule cong :premises (@p412 @p307) :args (@t277)) % 50.70/51.00 (step @p841 :rule trans :premises (@p1118 @p413 @p840 @p402 @p837 @p398)) % 50.70/51.00 (step @p476 :rule refl :args (@t272)) % 50.70/51.00 (step @p842 :rule cong :premises (@p476 @p841) :args (@t273)) % 50.70/51.00 (step @p843 :rule symm :premises (@p1120)) % 50.70/51.00 (step @p844 :rule symm :premises (@p835)) % 50.70/51.00 (step @p845 :rule cong :premises (@p251 @p844) :args ((tptp.app tptp.nil @t239))) % 50.70/51.00 (step @p846 :rule symm :premises (@p841)) % 50.70/51.00 (step @p847 :rule symm :premises (@p1121)) % 50.70/51.00 (step @p848 :rule trans :premises (@p847 @p413 @p840 @p402 @p837 @p398)) % 50.70/51.00 (step @p849 :rule trans :premises (@p848 @p846)) % 50.70/51.00 (step @p850 :rule cong :premises (@p849 @p835) :args (@t313)) % 50.70/51.00 (step @p851 :rule symm :premises (@p848)) % 50.70/51.00 (step @p852 :rule symm :premises (@p830)) % 50.70/51.00 (step @p853 :rule trans :premises (@p852 @p851)) % 50.70/51.00 (step @p854 :rule cong :premises (@p853 @p844) :args (@t317)) % 50.70/51.00 (step @p568 :rule refl :args (@t225)) % 50.70/51.00 (step @p855 :rule cong :premises (@p568 @p835) :args (@t305)) % 50.70/51.00 (step @p856 :rule trans :premises (@p1122 @p855 @p854 @p850 @p845 @p843 @p1119 @p842 @p836 @p661 @p827)) % 50.70/51.00 (step @p857 :rule refl :args (tptp.sk3)) % 50.70/51.00 (step @p858 :rule cong :premises (@p857 @p856) :args (@t308)) % 50.70/51.00 (step @p859 :rule true_intro :premises (@p510)) % 50.70/51.00 (step @p860 :rule symm :premises (@p859)) % 50.70/51.00 (step @p861 :rule trans :premises (@p860 @p858 @p323)) % 50.70/51.00 (step @p862 false :rule eq_resolve :premises (@p861 @p322)) % 50.70/51.00 (step-pop @p1124 :rule scope :premises (@p862)) % 50.70/51.00 (step-pop @p1125 :rule scope :premises (@p1124)) % 50.70/51.00 (step-pop @p1126 :rule scope :premises (@p1125)) % 50.70/51.00 (step-pop @p1127 :rule scope :premises (@p1126)) % 50.70/51.00 (step-pop @p1128 :rule scope :premises (@p1127)) % 50.70/51.00 (step-pop @p1129 :rule scope :premises (@p1128)) % 50.70/51.00 (step-pop @p1130 :rule scope :premises (@p1129)) % 50.70/51.00 (step-pop @p1131 :rule scope :premises (@p1130)) % 50.70/51.00 (step-pop @p1132 :rule scope :premises (@p1131)) % 50.70/51.00 (step-pop @p1133 :rule scope :premises (@p1132)) % 50.70/51.00 (step-pop @p1134 :rule scope :premises (@p1133)) % 50.70/51.00 (step-pop @p1135 :rule scope :premises (@p1134)) % 50.70/51.00 (step-pop @p1136 :rule scope :premises (@p1135)) % 50.70/51.00 (step-pop @p1137 :rule scope :premises (@p1136)) % 50.70/51.00 (step-pop @p1138 :rule scope :premises (@p1137)) % 50.70/51.00 (step-pop @p1139 :rule scope :premises (@p1138)) % 50.70/51.00 (step @p863 :rule process_scope :premises (@p1139) :args (false)) % 50.70/51.00 (assume-push @p1140 @t198) % 50.70/51.00 (assume-push @p1141 @t261) % 50.70/51.00 (assume-push @p1142 @t266) % 50.70/51.00 (assume-push @p1143 @t212) % 50.70/51.00 (assume-push @p1144 @t219) % 50.70/51.00 (assume-push @p1145 @t230) % 50.70/51.00 (assume-push @p1146 @t237) % 50.70/51.00 (assume-push @p1147 @t248) % 50.70/51.00 (assume-push @p1148 @t254) % 50.70/51.00 (assume-push @p1149 @t241) % 50.70/51.00 (assume-push @p1150 @t274) % 50.70/51.00 (assume-push @p1151 @t360) % 50.70/51.00 (assume-push @p1152 @t306) % 50.70/51.00 (assume-push @p1153 @t291) % 50.70/51.00 (assume-push @p1154 @t296) % 50.70/51.00 (assume-push @p1155 @t308) % 50.70/51.00 (step @p896 :rule and_intro :premises (@p256 @p1141 @p283 @p275 @p201 @p267 @p1142 @p235 @p299 @p307 @p1151 @p1150 @p1154 @p1153 @p1152 @p510)) % 50.70/51.00 (step-pop @p1156 :rule scope :premises (@p896)) % 50.70/51.00 (step-pop @p1157 :rule scope :premises (@p1156)) % 50.70/51.00 (step-pop @p1158 :rule scope :premises (@p1157)) % 50.70/51.00 (step-pop @p1159 :rule scope :premises (@p1158)) % 50.70/51.00 (step-pop @p1160 :rule scope :premises (@p1159)) % 50.70/51.00 (step-pop @p1161 :rule scope :premises (@p1160)) % 50.70/51.00 (step-pop @p1162 :rule scope :premises (@p1161)) % 50.70/51.00 (step-pop @p1163 :rule scope :premises (@p1162)) % 50.70/51.00 (step-pop @p1164 :rule scope :premises (@p1163)) % 50.70/51.00 (step-pop @p1165 :rule scope :premises (@p1164)) % 50.70/51.00 (step-pop @p1166 :rule scope :premises (@p1165)) % 50.70/51.00 (step-pop @p1167 :rule scope :premises (@p1166)) % 50.70/51.00 (step-pop @p1168 :rule scope :premises (@p1167)) % 50.70/51.00 (step-pop @p1169 :rule scope :premises (@p1168)) % 50.70/51.00 (step-pop @p1170 :rule scope :premises (@p1169)) % 50.70/51.00 (step-pop @p1171 :rule scope :premises (@p1170)) % 50.70/51.00 (step @p897 :rule process_scope :premises (@p1171) :args (@t366)) % 50.70/51.00 (step @p914 :rule implies_elim :premises (@p897)) % 50.70/51.00 (step @p915 :rule resolution :premises (@p914 @p863) :args (true @t366)) % 50.70/51.00 (step @p916 :rule not_and :premises (@p915)) % 50.70/51.00 (step @p917 :rule eq_resolve :premises (@p916 @p810)) % 50.70/51.00 (step @p918 :rule reordering :premises (@p917) :args ((or @t218 @t289 @t288 @t287 @t252 @t286 @t285 @t322 @t284 @t354 @t365 @t364 @t362 @t321 @t320 @t363))) % 50.70/51.00 (step @p919 false :rule chain_m_resolution :premises (@p918 @p794 @p510 @p506 @p453 @p445 @p368 @p360 @p356 @p307 @p299 @p283 @p275 @p267 @p256 @p235 @p201) :args (false (@list false false false false false false false false false false false false false true false false) (@list @t360 @t308 @t306 @t296 @t291 @t274 @t266 @t261 @t254 @t248 @t241 @t237 @t230 @t218 @t212 @t198))) % 50.70/51.00 ) % 50.70/51.00 % SZS output end Proof % 50.70/51.00 % cvc5 exiting %------------------------------------------------------------------------------