%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC198-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:58:26 AM UTC 2026 % Result : Unsatisfiable 5.13s 5.39s % Output : Proof 5.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC198-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:23:48 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.13/5.39 % SZS status Unsatisfiable % 5.13/5.39 % SZS output start Proof % 5.23/5.41 ( % 5.23/5.41 (declare-sort $$unsorted 0) % 5.23/5.41 (declare-const tptp.sk6 $$unsorted) % 5.23/5.41 (declare-const tptp.sk5 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.sk4 $$unsorted) % 5.23/5.41 (declare-const tptp.sk2 $$unsorted) % 5.23/5.41 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.nil $$unsorted) % 5.23/5.41 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.sk1 $$unsorted) % 5.23/5.41 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skac2 $$unsorted) % 5.23/5.41 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.sk3 $$unsorted) % 5.23/5.41 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.ssList (-> $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skac3 $$unsorted) % 5.23/5.41 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.41 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 5.23/5.41 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 5.23/5.41 (define @t1 () (tptp.ssList tptp.nil)) % 5.23/5.41 (define @t2 () (tptp.ssItem tptp.skac3)) % 5.23/5.41 (define @t3 () (tptp.ssItem tptp.skac2)) % 5.23/5.41 (define @t4 () (@var "U" $$unsorted)) % 5.23/5.41 (define @t5 () (tptp.skaf83 @t4)) % 5.23/5.41 (define @t6 () (@list @t4)) % 5.23/5.41 (define @t7 () (tptp.skaf82 @t4)) % 5.23/5.41 (define @t8 () (tptp.skaf81 @t4)) % 5.23/5.41 (define @t9 () (tptp.skaf80 @t4)) % 5.23/5.41 (define @t10 () (tptp.skaf79 @t4)) % 5.23/5.41 (define @t11 () (tptp.skaf78 @t4)) % 5.23/5.41 (define @t12 () (tptp.skaf77 @t4)) % 5.23/5.41 (define @t13 () (tptp.skaf76 @t4)) % 5.23/5.41 (define @t14 () (tptp.skaf75 @t4)) % 5.23/5.41 (define @t15 () (tptp.skaf74 @t4)) % 5.23/5.41 (define @t16 () (tptp.skaf73 @t4)) % 5.23/5.41 (define @t17 () (tptp.skaf72 @t4)) % 5.23/5.41 (define @t18 () (tptp.skaf71 @t4)) % 5.23/5.41 (define @t19 () (tptp.skaf70 @t4)) % 5.23/5.41 (define @t20 () (tptp.skaf69 @t4)) % 5.23/5.41 (define @t21 () (tptp.skaf68 @t4)) % 5.23/5.41 (define @t22 () (tptp.skaf67 @t4)) % 5.23/5.41 (define @t23 () (tptp.skaf66 @t4)) % 5.23/5.41 (define @t24 () (tptp.skaf65 @t4)) % 5.23/5.41 (define @t25 () (tptp.skaf64 @t4)) % 5.23/5.41 (define @t26 () (tptp.skaf63 @t4)) % 5.23/5.41 (define @t27 () (tptp.skaf62 @t4)) % 5.23/5.41 (define @t28 () (tptp.skaf61 @t4)) % 5.23/5.41 (define @t29 () (tptp.skaf60 @t4)) % 5.23/5.41 (define @t30 () (tptp.skaf59 @t4)) % 5.23/5.41 (define @t31 () (tptp.skaf58 @t4)) % 5.23/5.41 (define @t32 () (tptp.skaf57 @t4)) % 5.23/5.41 (define @t33 () (tptp.skaf56 @t4)) % 5.23/5.41 (define @t34 () (tptp.skaf55 @t4)) % 5.23/5.41 (define @t35 () (tptp.skaf54 @t4)) % 5.23/5.41 (define @t36 () (tptp.skaf53 @t4)) % 5.23/5.41 (define @t37 () (tptp.skaf52 @t4)) % 5.23/5.41 (define @t38 () (tptp.skaf51 @t4)) % 5.23/5.41 (define @t39 () (tptp.skaf50 @t4)) % 5.23/5.41 (define @t40 () (tptp.skaf49 @t4)) % 5.23/5.41 (define @t41 () (tptp.skaf44 @t4)) % 5.23/5.41 (define @t42 () (@var "V" $$unsorted)) % 5.23/5.41 (define @t43 () (@list @t4 @t42)) % 5.23/5.41 (define @t44 () (tptp.skaf47 @t4 @t42)) % 5.23/5.41 (define @t45 () (tptp.skaf46 @t4 @t42)) % 5.23/5.41 (define @t46 () (tptp.skaf45 @t4 @t42)) % 5.23/5.41 (define @t47 () (tptp.skaf42 @t4 @t42)) % 5.23/5.41 (define @t48 () (not (tptp.ssItem @t4))) % 5.23/5.41 (define @t49 () (not (tptp.ssList @t4))) % 5.23/5.41 (define @t50 () (tptp.cons @t4 tptp.nil)) % 5.23/5.41 (define @t51 () (tptp.ssItem @t42)) % 5.23/5.41 (define @t52 () (tptp.duplicatefreeP @t4)) % 5.23/5.41 (define @t53 () (= tptp.nil @t4)) % 5.23/5.41 (define @t54 () (tptp.tl @t4)) % 5.23/5.41 (define @t55 () (tptp.hd @t4)) % 5.23/5.41 (define @t56 () (tptp.segmentP tptp.nil @t4)) % 5.23/5.41 (define @t57 () (not @t53)) % 5.23/5.41 (define @t58 () (or @t57 @t49 @t56)) % 5.23/5.41 (define @t59 () (forall @t6 @t58)) % 5.23/5.41 (define @t60 () (tptp.rearsegP tptp.nil @t4)) % 5.23/5.41 (define @t61 () (tptp.frontsegP tptp.nil @t4)) % 5.23/5.41 (define @t62 () (tptp.app @t42 @t4)) % 5.23/5.41 (define @t63 () (not (tptp.ssList @t42))) % 5.23/5.41 (define @t64 () (tptp.cons @t4 @t42)) % 5.23/5.41 (define @t65 () (tptp.cyclefreeP @t4)) % 5.23/5.41 (define @t66 () (tptp.equalelemsP @t4)) % 5.23/5.41 (define @t67 () (tptp.strictorderedP @t4)) % 5.23/5.41 (define @t68 () (tptp.totalorderedP @t4)) % 5.23/5.41 (define @t69 () (tptp.strictorderP @t4)) % 5.23/5.41 (define @t70 () (tptp.totalorderP @t4)) % 5.23/5.41 (define @t71 () (not (= @t64 tptp.nil))) % 5.23/5.41 (define @t72 () (or @t71 @t48 @t63)) % 5.23/5.41 (define @t73 () (forall @t43 @t72)) % 5.23/5.41 (define @t74 () (= @t42 @t4)) % 5.23/5.41 (define @t75 () (tptp.neq @t42 @t4)) % 5.23/5.41 (define @t76 () (not @t51)) % 5.23/5.41 (define @t77 () (tptp.leq @t4 @t42)) % 5.23/5.41 (define @t78 () (tptp.lt @t4 @t42)) % 5.23/5.41 (define @t79 () (not @t78)) % 5.23/5.41 (define @t80 () (tptp.lt @t42 @t4)) % 5.23/5.41 (define @t81 () (not (tptp.gt @t4 @t42))) % 5.23/5.41 (define @t82 () (tptp.gt @t42 @t4)) % 5.23/5.41 (define @t83 () (tptp.leq @t42 @t4)) % 5.23/5.41 (define @t84 () (not (tptp.geq @t4 @t42))) % 5.23/5.41 (define @t85 () (tptp.geq @t42 @t4)) % 5.23/5.41 (define @t86 () (not @t77)) % 5.23/5.41 (define @t87 () (= @t4 @t42)) % 5.23/5.41 (define @t88 () (not @t87)) % 5.23/5.41 (define @t89 () (tptp.cons @t42 @t4)) % 5.23/5.41 (define @t90 () (not (tptp.neq @t4 @t42))) % 5.23/5.41 (define @t91 () (tptp.app @t4 @t42)) % 5.23/5.41 (define @t92 () (= @t91 tptp.nil)) % 5.23/5.41 (define @t93 () (not @t92)) % 5.23/5.41 (define @t94 () (or @t93 @t63 @t49 @t53)) % 5.23/5.41 (define @t95 () (forall @t43 @t94)) % 5.23/5.41 (define @t96 () (= tptp.nil @t42)) % 5.23/5.41 (define @t97 () (or @t93 @t63 @t49 @t96)) % 5.23/5.41 (define @t98 () (forall @t43 @t97)) % 5.23/5.41 (define @t99 () (tptp.hd @t42)) % 5.23/5.41 (define @t100 () (tptp.strictorderedP @t42)) % 5.23/5.41 (define @t101 () (tptp.strictorderedP @t64)) % 5.23/5.41 (define @t102 () (not @t101)) % 5.23/5.41 (define @t103 () (tptp.totalorderedP @t42)) % 5.23/5.41 (define @t104 () (tptp.totalorderedP @t64)) % 5.23/5.41 (define @t105 () (not @t104)) % 5.23/5.41 (define @t106 () (not (tptp.segmentP @t4 @t42))) % 5.23/5.41 (define @t107 () (not (tptp.rearsegP @t4 @t42))) % 5.23/5.41 (define @t108 () (not (tptp.frontsegP @t4 @t42))) % 5.23/5.41 (define @t109 () (not @t83)) % 5.23/5.41 (define @t110 () (tptp.tl @t42)) % 5.23/5.41 (define @t111 () (tptp.lt @t4 @t99)) % 5.23/5.41 (define @t112 () (tptp.leq @t4 @t99)) % 5.23/5.41 (define @t113 () (@var "W" $$unsorted)) % 5.23/5.41 (define @t114 () (tptp.app @t113 @t4)) % 5.23/5.41 (define @t115 () (not (tptp.ssList @t113))) % 5.23/5.41 (define @t116 () (@list @t4 @t42 @t113)) % 5.23/5.41 (define @t117 () (tptp.app @t4 @t113)) % 5.23/5.41 (define @t118 () (tptp.cons @t42 @t113)) % 5.23/5.41 (define @t119 () (tptp.cons @t113 @t4)) % 5.23/5.41 (define @t120 () (not (tptp.ssItem @t113))) % 5.23/5.41 (define @t121 () (not (tptp.memberP @t4 @t42))) % 5.23/5.41 (define @t122 () (tptp.rearsegP @t113 @t42)) % 5.23/5.41 (define @t123 () (not (= @t91 @t113))) % 5.23/5.41 (define @t124 () (or @t123 @t49 @t63 @t115 @t122)) % 5.23/5.41 (define @t125 () (forall @t116 @t124)) % 5.23/5.41 (define @t126 () (tptp.lt @t4 @t113)) % 5.23/5.41 (define @t127 () (not (tptp.lt @t42 @t113))) % 5.23/5.41 (define @t128 () (tptp.app @t113 @t42)) % 5.23/5.41 (define @t129 () (= @t42 @t113)) % 5.23/5.41 (define @t130 () (= @t4 @t113)) % 5.23/5.41 (define @t131 () (tptp.memberP @t42 @t113)) % 5.23/5.41 (define @t132 () (not (tptp.memberP @t64 @t113))) % 5.23/5.41 (define @t133 () (or @t132 @t63 @t48 @t120 @t131 (= @t113 @t4))) % 5.23/5.41 (define @t134 () (forall @t116 @t133)) % 5.23/5.41 (define @t135 () (tptp.app (tptp.app @t44 @t42) (tptp.skaf48 @t42 @t4))) % 5.23/5.41 (define @t136 () (or @t106 @t63 @t49 (= @t135 @t4))) % 5.23/5.41 (define @t137 () (forall @t43 @t136)) % 5.23/5.41 (define @t138 () (tptp.app @t47 (tptp.cons @t42 (tptp.skaf43 @t42 @t4)))) % 5.23/5.41 (define @t139 () (or @t121 @t76 @t49 (= @t138 @t4))) % 5.23/5.41 (define @t140 () (forall @t43 @t139)) % 5.23/5.41 (define @t141 () (@var "X" $$unsorted)) % 5.23/5.41 (define @t142 () (not (tptp.ssList @t141))) % 5.23/5.41 (define @t143 () (tptp.cons @t113 @t141)) % 5.23/5.41 (define @t144 () (not (= @t64 @t143))) % 5.23/5.41 (define @t145 () (@list @t4 @t42 @t113 @t141)) % 5.23/5.41 (define @t146 () (not (tptp.frontsegP @t64 @t143))) % 5.23/5.41 (define @t147 () (tptp.app @t4 @t118)) % 5.23/5.41 (define @t148 () (not (tptp.ssItem @t141))) % 5.23/5.41 (define @t149 () (@var "Y" $$unsorted)) % 5.23/5.41 (define @t150 () (not (tptp.ssList @t149))) % 5.23/5.41 (define @t151 () (@list @t4 @t42 @t113 @t141 @t149)) % 5.23/5.41 (define @t152 () (tptp.lt @t42 @t141)) % 5.23/5.41 (define @t153 () (@var "Z" $$unsorted)) % 5.23/5.41 (define @t154 () (not (tptp.ssList @t153))) % 5.23/5.41 (define @t155 () (not (= (tptp.app @t147 (tptp.cons @t141 @t149)) @t153))) % 5.23/5.41 (define @t156 () (@list @t4 @t42 @t113 @t141 @t149 @t153)) % 5.23/5.41 (define @t157 () (tptp.leq @t42 @t141)) % 5.23/5.41 (define @t158 () (tptp.ssList tptp.sk1)) % 5.23/5.41 (define @t159 () (= tptp.sk1 tptp.sk3)) % 5.23/5.41 (define @t160 () (@var "A" $$unsorted)) % 5.23/5.41 (define @t161 () (tptp.sk5 @t160)) % 5.23/5.41 (define @t162 () (not (tptp.ssItem @t160))) % 5.23/5.41 (define @t163 () (@list @t160)) % 5.23/5.41 (define @t164 () (= tptp.nil tptp.sk4)) % 5.23/5.41 (define @t165 () (tptp.ssItem tptp.sk6)) % 5.23/5.41 (define @t166 () (= tptp.nil tptp.sk3)) % 5.23/5.41 (define @t167 () (tptp.cons tptp.sk6 tptp.nil)) % 5.23/5.41 (define @t168 () (= @t167 tptp.sk3)) % 5.23/5.41 (define @t169 () (tptp.memberP tptp.sk4 tptp.sk6)) % 5.23/5.41 (define @t170 () (not (tptp.leq tptp.sk6 @t160))) % 5.23/5.41 (define @t171 () (not (tptp.memberP tptp.sk4 @t160))) % 5.23/5.41 (define @t172 () (= tptp.sk6 @t160)) % 5.23/5.41 (define @t173 () (or @t168 @t166)) % 5.23/5.41 (define @t174 () (tptp.sk5 tptp.skac3)) % 5.23/5.41 (define @t175 () (tptp.skaf43 @t174 tptp.sk1)) % 5.23/5.41 (define @t176 () (tptp.cons @t174 @t175)) % 5.23/5.41 (define @t177 () (@list @t174 @t175)) % 5.23/5.41 (define @t178 () (@list tptp.skac3)) % 5.23/5.41 (define @t179 () (tptp.ssItem @t174)) % 5.23/5.41 (define @t180 () (not @t2)) % 5.23/5.41 (define @t181 () (or @t180 @t179)) % 5.23/5.41 (define @t182 () (@list false false)) % 5.23/5.41 (define @t183 () (tptp.ssList @t176)) % 5.23/5.41 (define @t184 () (tptp.ssList @t175)) % 5.23/5.41 (define @t185 () (not @t184)) % 5.23/5.41 (define @t186 () (not @t179)) % 5.23/5.41 (define @t187 () (or @t186 @t185 @t183)) % 5.23/5.41 (define @t188 () (@list false false false)) % 5.23/5.41 (define @t189 () (= tptp.nil @t176)) % 5.23/5.41 (define @t190 () (not @t189)) % 5.23/5.41 (define @t191 () (or @t190 @t186 @t185)) % 5.23/5.41 (define @t192 () (not @t183)) % 5.23/5.41 (define @t193 () (tptp.rearsegP tptp.nil @t176)) % 5.23/5.41 (define @t194 () (not @t193)) % 5.23/5.41 (define @t195 () (or @t194 @t192 @t189)) % 5.23/5.41 (define @t196 () (tptp.rearsegP @t91 @t42)) % 5.23/5.41 (define @t197 () (not (tptp.ssList @t91))) % 5.23/5.41 (define @t198 () (not (= @t91 @t91))) % 5.23/5.41 (define @t199 () (or @t198 @t49 @t63 @t197 @t196)) % 5.23/5.41 (define @t200 () (@list @t113)) % 5.23/5.41 (define @t201 () (or @t123 @t123 @t49 @t63 @t115 @t122)) % 5.23/5.41 (define @t202 () (forall @t200 @t124)) % 5.23/5.41 (define @t203 () (forall @t43 @t202)) % 5.23/5.41 (define @t204 () (tptp.skaf42 tptp.sk1 @t174)) % 5.23/5.41 (define @t205 () (@list tptp.sk1 @t174)) % 5.23/5.41 (define @t206 () (tptp.memberP tptp.sk1 @t174)) % 5.23/5.41 (define @t207 () (or @t180 @t206)) % 5.23/5.41 (define @t208 () (tptp.app @t204 @t176)) % 5.23/5.41 (define @t209 () (= tptp.sk1 @t208)) % 5.23/5.41 (define @t210 () (not @t158)) % 5.23/5.41 (define @t211 () (not @t206)) % 5.23/5.41 (define @t212 () (or @t211 @t186 @t210 @t209)) % 5.23/5.41 (define @t213 () (@list false false false false)) % 5.23/5.41 (define @t214 () (tptp.ssList @t208)) % 5.23/5.41 (define @t215 () (tptp.rearsegP @t208 @t176)) % 5.23/5.41 (define @t216 () (not @t214)) % 5.23/5.41 (define @t217 () (tptp.ssList @t204)) % 5.23/5.41 (define @t218 () (not @t217)) % 5.23/5.41 (define @t219 () (or @t218 @t192 @t216 @t215)) % 5.23/5.41 (define @t220 () (tptp.sk5 tptp.skac2)) % 5.23/5.41 (define @t221 () (@list tptp.skac2)) % 5.23/5.41 (define @t222 () (tptp.ssItem @t220)) % 5.23/5.41 (define @t223 () (not @t3)) % 5.23/5.41 (define @t224 () (or @t223 @t222)) % 5.23/5.41 (define @t225 () (tptp.memberP tptp.sk1 @t220)) % 5.23/5.41 (define @t226 () (or @t223 @t225)) % 5.23/5.41 (define @t227 () (= tptp.sk1 (tptp.app (tptp.skaf42 tptp.sk1 @t220) (tptp.cons @t220 (tptp.skaf43 @t220 tptp.sk1))))) % 5.23/5.41 (define @t228 () (not @t222)) % 5.23/5.41 (define @t229 () (not @t225)) % 5.23/5.41 (define @t230 () (or @t229 @t228 @t210 @t227)) % 5.23/5.41 (define @t231 () (tptp.skaf48 tptp.nil tptp.nil)) % 5.23/5.41 (define @t232 () (tptp.skaf47 tptp.nil tptp.nil)) % 5.23/5.41 (define @t233 () (tptp.app @t232 tptp.nil)) % 5.23/5.41 (define @t234 () (@list @t233 @t231)) % 5.23/5.41 (define @t235 () (@list tptp.nil tptp.nil)) % 5.23/5.41 (define @t236 () (tptp.ssList @t233)) % 5.23/5.41 (define @t237 () (tptp.ssList @t232)) % 5.23/5.41 (define @t238 () (not @t237)) % 5.23/5.41 (define @t239 () (not @t1)) % 5.23/5.41 (define @t240 () (or @t239 @t238 @t236)) % 5.23/5.41 (define @t241 () (tptp.segmentP tptp.nil tptp.nil)) % 5.23/5.41 (define @t242 () (not (= tptp.nil tptp.nil))) % 5.23/5.41 (define @t243 () (or @t242 @t239 @t241)) % 5.23/5.41 (define @t244 () (or @t57 @t57 @t49 @t56)) % 5.23/5.41 (define @t245 () (= tptp.nil (tptp.app @t233 @t231))) % 5.23/5.41 (define @t246 () (not @t241)) % 5.23/5.41 (define @t247 () (or @t246 @t239 @t239 @t245)) % 5.23/5.41 (define @t248 () (= tptp.nil @t231)) % 5.23/5.41 (define @t249 () (not @t236)) % 5.23/5.41 (define @t250 () (tptp.ssList @t231)) % 5.23/5.41 (define @t251 () (not @t250)) % 5.23/5.41 (define @t252 () (not @t245)) % 5.23/5.41 (define @t253 () (or @t252 @t251 @t249 @t248)) % 5.23/5.41 (define @t254 () (not @t215)) % 5.23/5.41 (define @t255 () (not @t227)) % 5.23/5.41 (define @t256 () (not @t209)) % 5.23/5.41 (define @t257 () (not @t248)) % 5.23/5.41 (define @t258 () (not @t166)) % 5.23/5.41 (define @t259 () (not @t159)) % 5.23/5.41 (define @t260 () (and @t194 @t248 @t166 @t159 @t227 @t209 @t215)) % 5.23/5.41 (define @t261 () (@list true)) % 5.23/5.41 (define @t262 () (@list @t166)) % 5.23/5.41 (define @t263 () (@list tptp.sk6)) % 5.23/5.41 (define @t264 () (tptp.sk5 tptp.sk6)) % 5.23/5.41 (define @t265 () (= tptp.sk6 @t264)) % 5.23/5.41 (define @t266 () (not @t265)) % 5.23/5.41 (define @t267 () (not @t165)) % 5.23/5.41 (define @t268 () (or @t267 @t266)) % 5.23/5.41 (define @t269 () (tptp.ssItem @t264)) % 5.23/5.41 (define @t270 () (or @t267 @t269)) % 5.23/5.41 (define @t271 () (tptp.memberP tptp.sk1 @t264)) % 5.23/5.41 (define @t272 () (or @t267 @t271)) % 5.23/5.41 (define @t273 () (= tptp.nil @t233)) % 5.23/5.41 (define @t274 () (or @t252 @t251 @t249 @t273)) % 5.23/5.41 (define @t275 () (= tptp.sk3 @t167)) % 5.23/5.41 (define @t276 () (tptp.memberP @t167 @t264)) % 5.23/5.41 (define @t277 () (and @t159 @t275 @t273 @t271)) % 5.23/5.41 (define @t278 () (not @t269)) % 5.23/5.41 (define @t279 () (tptp.memberP tptp.nil @t264)) % 5.23/5.41 (define @t280 () (not @t279)) % 5.23/5.41 (define @t281 () (or @t280 @t278)) % 5.23/5.41 (define @t282 () (not @t276)) % 5.23/5.41 (define @t283 () (or @t282 @t239 @t267 @t278 @t279 @t265)) % 5.23/5.41 (assume @p1 (tptp.equalelemsP tptp.nil)) % 5.23/5.41 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 5.23/5.41 (assume @p3 (tptp.strictorderedP tptp.nil)) % 5.23/5.41 (assume @p4 (tptp.totalorderedP tptp.nil)) % 5.23/5.41 (assume @p5 (tptp.strictorderP tptp.nil)) % 5.23/5.41 (assume @p6 (tptp.totalorderP tptp.nil)) % 5.23/5.41 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 5.23/5.41 (assume @p8 @t1) % 5.23/5.41 (assume @p9 @t2) % 5.23/5.41 (assume @p10 @t3) % 5.23/5.41 (assume @p11 (not (tptp.singletonP tptp.nil))) % 5.23/5.41 (assume @p12 (forall @t6 (tptp.ssItem @t5))) % 5.23/5.41 (assume @p13 (forall @t6 (tptp.ssList @t7))) % 5.23/5.41 (assume @p14 (forall @t6 (tptp.ssList @t8))) % 5.23/5.41 (assume @p15 (forall @t6 (tptp.ssList @t9))) % 5.23/5.41 (assume @p16 (forall @t6 (tptp.ssItem @t10))) % 5.23/5.41 (assume @p17 (forall @t6 (tptp.ssItem @t11))) % 5.23/5.41 (assume @p18 (forall @t6 (tptp.ssList @t12))) % 5.23/5.41 (assume @p19 (forall @t6 (tptp.ssList @t13))) % 5.23/5.41 (assume @p20 (forall @t6 (tptp.ssList @t14))) % 5.23/5.41 (assume @p21 (forall @t6 (tptp.ssItem @t15))) % 5.23/5.41 (assume @p22 (forall @t6 (tptp.ssList @t16))) % 5.23/5.41 (assume @p23 (forall @t6 (tptp.ssList @t17))) % 5.23/5.41 (assume @p24 (forall @t6 (tptp.ssList @t18))) % 5.23/5.41 (assume @p25 (forall @t6 (tptp.ssItem @t19))) % 5.23/5.41 (assume @p26 (forall @t6 (tptp.ssItem @t20))) % 5.23/5.41 (assume @p27 (forall @t6 (tptp.ssList @t21))) % 5.23/5.41 (assume @p28 (forall @t6 (tptp.ssList @t22))) % 5.23/5.41 (assume @p29 (forall @t6 (tptp.ssList @t23))) % 5.23/5.41 (assume @p30 (forall @t6 (tptp.ssItem @t24))) % 5.23/5.41 (assume @p31 (forall @t6 (tptp.ssItem @t25))) % 5.23/5.41 (assume @p32 (forall @t6 (tptp.ssList @t26))) % 5.23/5.41 (assume @p33 (forall @t6 (tptp.ssList @t27))) % 5.23/5.41 (assume @p34 (forall @t6 (tptp.ssList @t28))) % 5.23/5.41 (assume @p35 (forall @t6 (tptp.ssItem @t29))) % 5.23/5.41 (assume @p36 (forall @t6 (tptp.ssItem @t30))) % 5.23/5.41 (assume @p37 (forall @t6 (tptp.ssList @t31))) % 5.23/5.41 (assume @p38 (forall @t6 (tptp.ssList @t32))) % 5.23/5.41 (assume @p39 (forall @t6 (tptp.ssList @t33))) % 5.23/5.41 (assume @p40 (forall @t6 (tptp.ssItem @t34))) % 5.23/5.41 (assume @p41 (forall @t6 (tptp.ssItem @t35))) % 5.23/5.41 (assume @p42 (forall @t6 (tptp.ssList @t36))) % 5.23/5.41 (assume @p43 (forall @t6 (tptp.ssList @t37))) % 5.23/5.41 (assume @p44 (forall @t6 (tptp.ssList @t38))) % 5.23/5.41 (assume @p45 (forall @t6 (tptp.ssItem @t39))) % 5.23/5.41 (assume @p46 (forall @t6 (tptp.ssItem @t40))) % 5.23/5.41 (assume @p47 (forall @t6 (tptp.ssItem @t41))) % 5.23/5.41 (assume @p48 (forall @t43 (tptp.ssList (tptp.skaf48 @t4 @t42)))) % 5.23/5.41 (assume @p49 (forall @t43 (tptp.ssList @t44))) % 5.23/5.41 (assume @p50 (forall @t43 (tptp.ssList @t45))) % 5.23/5.41 (assume @p51 (forall @t43 (tptp.ssList @t46))) % 5.23/5.41 (assume @p52 (forall @t43 (tptp.ssList (tptp.skaf43 @t4 @t42)))) % 5.23/5.41 (assume @p53 (forall @t43 (tptp.ssList @t47))) % 5.23/5.41 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 5.23/5.41 (assume @p55 (forall @t6 (or @t48 (tptp.geq @t4 @t4)))) % 5.23/5.41 (assume @p56 (forall @t6 (or @t49 (tptp.segmentP @t4 tptp.nil)))) % 5.23/5.41 (assume @p57 (forall @t6 (or @t49 (tptp.segmentP @t4 @t4)))) % 5.23/5.41 (assume @p58 (forall @t6 (or @t49 (tptp.rearsegP @t4 tptp.nil)))) % 5.23/5.41 (assume @p59 (forall @t6 (or @t49 (tptp.rearsegP @t4 @t4)))) % 5.23/5.41 (assume @p60 (forall @t6 (or @t49 (tptp.frontsegP @t4 tptp.nil)))) % 5.23/5.41 (assume @p61 (forall @t6 (or @t49 (tptp.frontsegP @t4 @t4)))) % 5.23/5.41 (assume @p62 (forall @t6 (or @t48 (tptp.leq @t4 @t4)))) % 5.23/5.41 (assume @p63 (forall @t6 (or (not (tptp.lt @t4 @t4)) @t48))) % 5.23/5.41 (assume @p64 (forall @t6 (or @t48 (tptp.equalelemsP @t50)))) % 5.23/5.41 (assume @p65 (forall @t6 (or @t48 (tptp.duplicatefreeP @t50)))) % 5.23/5.41 (assume @p66 (forall @t6 (or @t48 (tptp.strictorderedP @t50)))) % 5.23/5.41 (assume @p67 (forall @t6 (or @t48 (tptp.totalorderedP @t50)))) % 5.23/5.41 (assume @p68 (forall @t6 (or @t48 (tptp.strictorderP @t50)))) % 5.23/5.41 (assume @p69 (forall @t6 (or @t48 (tptp.totalorderP @t50)))) % 5.23/5.41 (assume @p70 (forall @t6 (or @t48 (tptp.cyclefreeP @t50)))) % 5.23/5.41 (assume @p71 (forall @t6 (or (not (tptp.memberP tptp.nil @t4)) @t48))) % 5.23/5.41 (assume @p72 (forall @t43 (or @t49 @t52 @t51))) % 5.23/5.41 (assume @p73 (forall @t6 (or @t49 (= (tptp.app @t4 tptp.nil) @t4)))) % 5.23/5.41 (assume @p74 (forall @t6 (or @t49 (= (tptp.app tptp.nil @t4) @t4)))) % 5.23/5.41 (assume @p75 (forall @t6 (or @t49 (tptp.ssList @t54) @t53))) % 5.23/5.41 (assume @p76 (forall @t6 (or @t49 (tptp.ssItem @t55) @t53))) % 5.23/5.41 (assume @p77 @t59) % 5.23/5.41 (assume @p78 (forall @t6 (or (not @t56) @t49 @t53))) % 5.23/5.41 (assume @p79 (forall @t6 (or @t57 @t49 @t60))) % 5.23/5.41 (assume @p80 (forall @t6 (or (not @t60) @t49 @t53))) % 5.23/5.41 (assume @p81 (forall @t6 (or @t57 @t49 @t61))) % 5.23/5.41 (assume @p82 (forall @t6 (or (not @t61) @t49 @t53))) % 5.23/5.41 (assume @p83 (forall @t43 (or @t49 @t63 (tptp.ssList @t62)))) % 5.23/5.41 (assume @p84 (forall @t43 (or @t48 @t63 (tptp.ssList @t64)))) % 5.23/5.41 (assume @p85 (forall @t6 (or @t49 @t65 (tptp.leq @t39 @t40)))) % 5.23/5.41 (assume @p86 (forall @t6 (or @t49 @t65 (tptp.leq @t40 @t39)))) % 5.23/5.41 (assume @p87 (forall @t6 (or (not (= @t10 @t11)) @t49 @t66))) % 5.23/5.41 (assume @p88 (forall @t6 (or (not (tptp.lt @t20 @t19)) @t49 @t67))) % 5.23/5.41 (assume @p89 (forall @t6 (or (not (tptp.leq @t25 @t24)) @t49 @t68))) % 5.23/5.41 (assume @p90 (forall @t6 (or (not (tptp.lt @t29 @t30)) @t49 @t69))) % 5.23/5.41 (assume @p91 (forall @t6 (or (not (tptp.lt @t30 @t29)) @t49 @t69))) % 5.23/5.41 (assume @p92 (forall @t6 (or (not (tptp.leq @t34 @t35)) @t49 @t70))) % 5.23/5.41 (assume @p93 (forall @t6 (or (not (tptp.leq @t35 @t34)) @t49 @t70))) % 5.23/5.41 (assume @p94 (forall @t43 (or @t48 @t63 (= (tptp.tl @t64) @t42)))) % 5.23/5.41 (assume @p95 (forall @t43 (or @t48 @t63 (= (tptp.hd @t64) @t4)))) % 5.23/5.41 (assume @p96 @t73) % 5.23/5.41 (assume @p97 (forall @t43 (or (not (= @t64 @t42)) @t48 @t63))) % 5.23/5.41 (assume @p98 (forall @t43 (or @t49 @t63 @t75 @t74))) % 5.23/5.41 (assume @p99 (forall @t6 (or (not (tptp.singletonP @t4)) @t49 (= (tptp.cons @t41 tptp.nil) @t4)))) % 5.23/5.41 (assume @p100 (forall @t43 (or @t48 @t76 @t75 @t74))) % 5.23/5.41 (assume @p101 (forall @t43 (or @t79 @t76 @t48 @t77))) % 5.23/5.41 (assume @p102 (forall @t6 (or @t49 (= (tptp.cons @t55 @t54) @t4) @t53))) % 5.23/5.41 (assume @p103 (forall @t43 (or @t81 @t76 @t48 @t80))) % 5.23/5.41 (assume @p104 (forall @t43 (or @t79 @t48 @t76 @t82))) % 5.23/5.41 (assume @p105 (forall @t43 (or @t84 @t76 @t48 @t83))) % 5.23/5.41 (assume @p106 (forall @t43 (or @t86 @t48 @t76 @t85))) % 5.23/5.41 (assume @p107 (forall @t6 (or @t49 (= (tptp.cons @t5 @t7) @t4) @t53))) % 5.23/5.41 (assume @p108 (forall @t43 (or @t81 (not @t82) @t48 @t76))) % 5.23/5.41 (assume @p109 (forall @t43 (or @t88 @t79 @t76 @t48))) % 5.23/5.41 (assume @p110 (forall @t43 (or @t57 @t49 @t76 (tptp.strictorderedP @t89)))) % 5.23/5.41 (assume @p111 (forall @t43 (or @t57 @t49 @t76 (tptp.totalorderedP @t89)))) % 5.23/5.41 (assume @p112 (forall @t43 (or @t79 (not @t80) @t48 @t76))) % 5.23/5.41 (assume @p113 (forall @t43 (or @t88 @t90 @t63 @t49))) % 5.23/5.41 (assume @p114 (forall @t43 (or (not (= @t50 @t42)) @t48 @t63 (tptp.singletonP @t42)))) % 5.23/5.41 (assume @p115 (forall @t43 (or @t88 @t90 @t76 @t48))) % 5.23/5.41 (assume @p116 @t95) % 5.23/5.41 (assume @p117 @t98) % 5.23/5.41 (assume @p118 (forall @t43 (or @t48 @t63 (= (tptp.app @t50 @t42) @t64)))) % 5.23/5.41 (assume @p119 (forall @t43 (or @t86 @t76 @t48 @t78 @t87))) % 5.23/5.41 (assume @p120 (forall @t43 (or @t49 @t63 @t96 (= (tptp.hd @t62) @t99)))) % 5.23/5.41 (assume @p121 (forall @t43 (or @t102 @t63 @t48 @t100 @t96))) % 5.23/5.41 (assume @p122 (forall @t43 (or @t105 @t63 @t48 @t103 @t96))) % 5.23/5.41 (assume @p123 (forall @t43 (or @t84 (not @t85) @t48 @t76 @t74))) % 5.23/5.41 (assume @p124 (forall @t43 (or @t106 (not (tptp.segmentP @t42 @t4)) @t49 @t63 @t74))) % 5.23/5.41 (assume @p125 (forall @t43 (or @t107 (not (tptp.rearsegP @t42 @t4)) @t49 @t63 @t74))) % 5.23/5.41 (assume @p126 (forall @t43 (or @t108 (not (tptp.frontsegP @t42 @t4)) @t49 @t63 @t74))) % 5.23/5.41 (assume @p127 (forall @t43 (or @t86 @t109 @t48 @t76 @t74))) % 5.23/5.41 (assume @p128 (forall @t43 (or @t107 @t63 @t49 (= (tptp.app @t45 @t42) @t4)))) % 5.23/5.41 (assume @p129 (forall @t43 (or @t108 @t63 @t49 (= (tptp.app @t42 @t46) @t4)))) % 5.23/5.41 (assume @p130 (forall @t43 (or @t49 @t63 @t96 (= (tptp.tl @t62) (tptp.app @t110 @t4))))) % 5.23/5.41 (assume @p131 (forall @t43 (or @t102 @t63 @t48 @t111 @t96))) % 5.23/5.41 (assume @p132 (forall @t43 (or @t105 @t63 @t48 @t112 @t96))) % 5.23/5.41 (assume @p133 (forall @t116 (or @t107 @t115 @t63 @t49 (tptp.rearsegP @t114 @t42)))) % 5.23/5.41 (assume @p134 (forall @t116 (or @t108 @t115 @t63 @t49 (tptp.frontsegP @t117 @t42)))) % 5.23/5.41 (assume @p135 (forall @t116 (or @t88 @t115 @t76 @t48 (tptp.memberP @t118 @t4)))) % 5.23/5.41 (assume @p136 (forall @t116 (or @t121 @t49 @t120 @t76 (tptp.memberP @t119 @t42)))) % 5.23/5.41 (assume @p137 (forall @t116 (or @t121 @t115 @t49 @t76 (tptp.memberP @t117 @t42)))) % 5.23/5.41 (assume @p138 (forall @t116 (or @t121 @t49 @t115 @t76 (tptp.memberP @t114 @t42)))) % 5.23/5.41 (assume @p139 (forall @t6 (or @t49 @t66 (= (tptp.app @t9 (tptp.cons @t11 (tptp.cons @t10 @t8))) @t4)))) % 5.23/5.41 (assume @p140 @t125) % 5.23/5.41 (assume @p141 (forall @t116 (or @t123 @t63 @t49 @t115 (tptp.frontsegP @t113 @t4)))) % 5.23/5.41 (assume @p142 (forall @t43 (or @t57 (not @t96) @t63 @t49 @t92))) % 5.23/5.41 (assume @p143 (forall @t116 (or @t81 (not (tptp.gt @t42 @t113)) @t120 @t76 @t48 (tptp.gt @t4 @t113)))) % 5.23/5.41 (assume @p144 (forall @t116 (or @t86 @t127 @t120 @t76 @t48 @t126))) % 5.23/5.41 (assume @p145 (forall @t116 (or @t84 (not (tptp.geq @t42 @t113)) @t120 @t76 @t48 (tptp.geq @t4 @t113)))) % 5.23/5.41 (assume @p146 (forall @t116 (or @t49 @t63 @t115 (= (tptp.app @t128 @t4) (tptp.app @t113 @t62))))) % 5.23/5.41 (assume @p147 (forall @t116 (or (not (= @t91 @t117)) @t63 @t49 @t115 @t129))) % 5.23/5.41 (assume @p148 (forall @t116 (or (not (= @t91 @t128)) @t49 @t63 @t115 @t130))) % 5.23/5.41 (assume @p149 (forall @t116 (or @t106 (not (tptp.segmentP @t42 @t113)) @t115 @t63 @t49 (tptp.segmentP @t4 @t113)))) % 5.23/5.41 (assume @p150 (forall @t116 (or @t107 (not (tptp.rearsegP @t42 @t113)) @t115 @t63 @t49 (tptp.rearsegP @t4 @t113)))) % 5.23/5.41 (assume @p151 (forall @t116 (or @t108 (not (tptp.frontsegP @t42 @t113)) @t115 @t63 @t49 (tptp.frontsegP @t4 @t113)))) % 5.23/5.41 (assume @p152 (forall @t116 (or @t79 @t127 @t120 @t76 @t48 @t126))) % 5.23/5.41 (assume @p153 (forall @t116 (or @t86 (not (tptp.leq @t42 @t113)) @t120 @t76 @t48 (tptp.leq @t4 @t113)))) % 5.23/5.41 (assume @p154 (forall @t116 (or @t48 @t63 @t115 (= (tptp.cons @t4 (tptp.app @t42 @t113)) (tptp.app @t64 @t113))))) % 5.23/5.41 (assume @p155 (forall @t116 (or (not (tptp.memberP @t91 @t113)) @t63 @t49 @t120 @t131 (tptp.memberP @t4 @t113)))) % 5.23/5.41 (assume @p156 (forall @t43 (or (not @t112) (not @t103) @t63 @t48 @t104 @t96))) % 5.23/5.41 (assume @p157 (forall @t43 (or (not @t111) (not @t100) @t63 @t48 @t101 @t96))) % 5.23/5.41 (assume @p158 @t134) % 5.23/5.41 (assume @p159 (forall @t6 (or @t49 @t52 (= (tptp.app (tptp.app @t14 (tptp.cons @t15 @t13)) (tptp.cons @t15 @t12)) @t4)))) % 5.23/5.41 (assume @p160 (forall @t6 (or @t49 @t67 (= (tptp.app (tptp.app @t18 (tptp.cons @t20 @t17)) (tptp.cons @t19 @t16)) @t4)))) % 5.23/5.41 (assume @p161 (forall @t6 (or @t49 @t68 (= (tptp.app (tptp.app @t23 (tptp.cons @t25 @t22)) (tptp.cons @t24 @t21)) @t4)))) % 5.23/5.41 (assume @p162 (forall @t6 (or @t49 @t69 (= (tptp.app (tptp.app @t28 (tptp.cons @t30 @t27)) (tptp.cons @t29 @t26)) @t4)))) % 5.23/5.41 (assume @p163 (forall @t6 (or @t49 @t70 (= (tptp.app (tptp.app @t33 (tptp.cons @t35 @t32)) (tptp.cons @t34 @t31)) @t4)))) % 5.23/5.41 (assume @p164 (forall @t6 (or @t49 @t65 (= (tptp.app (tptp.app @t38 (tptp.cons @t40 @t37)) (tptp.cons @t39 @t36)) @t4)))) % 5.23/5.41 (assume @p165 @t137) % 5.23/5.41 (assume @p166 @t140) % 5.23/5.41 (assume @p167 (forall @t145 (or @t144 @t120 @t48 @t142 @t63 @t130))) % 5.23/5.41 (assume @p168 (forall @t145 (or @t144 @t120 @t48 @t142 @t63 (= @t141 @t42)))) % 5.23/5.41 (assume @p169 (forall @t145 (or @t106 @t115 @t142 @t63 @t49 (tptp.segmentP (tptp.app (tptp.app @t141 @t4) @t113) @t42)))) % 5.23/5.41 (assume @p170 (forall @t145 (or (not (= (tptp.app @t91 @t113) @t141)) @t115 @t49 @t63 @t142 (tptp.segmentP @t141 @t42)))) % 5.23/5.41 (assume @p171 (forall @t145 (or @t146 @t142 @t63 @t120 @t48 (tptp.frontsegP @t42 @t141)))) % 5.23/5.41 (assume @p172 (forall @t145 (or (not (= @t147 @t141)) @t115 @t49 @t76 @t142 (tptp.memberP @t141 @t42)))) % 5.23/5.41 (assume @p173 (forall @t145 (or @t146 @t142 @t63 @t120 @t48 @t130))) % 5.23/5.41 (assume @p174 (forall @t43 (or (not (= @t54 @t110)) (not (= @t55 @t99)) @t49 @t63 @t96 @t87 @t53))) % 5.23/5.41 (assume @p175 (forall @t145 (or @t108 (not (= @t113 @t141)) @t63 @t49 @t148 @t120 (tptp.frontsegP @t119 (tptp.cons @t141 @t42))))) % 5.23/5.41 (assume @p176 (forall @t151 (or (not (= (tptp.app @t147 (tptp.cons @t42 @t141)) @t149)) @t142 @t115 @t49 @t76 (not (tptp.duplicatefreeP @t149)) @t150))) % 5.23/5.41 (assume @p177 (forall @t151 (or (not (= (tptp.app @t4 (tptp.cons @t42 @t143)) @t149)) @t142 @t49 @t120 @t76 (not (tptp.equalelemsP @t149)) @t150 @t129))) % 5.23/5.41 (assume @p178 (forall @t156 (or @t155 @t150 @t115 @t49 @t148 @t76 (not (tptp.strictorderedP @t153)) @t154 @t152))) % 5.23/5.41 (assume @p179 (forall @t156 (or @t155 @t150 @t115 @t49 @t148 @t76 (not (tptp.totalorderedP @t153)) @t154 @t157))) % 5.23/5.41 (assume @p180 (forall @t156 (or @t155 @t150 @t115 @t49 @t148 @t76 (not (tptp.strictorderP @t153)) @t154 @t152 (tptp.lt @t141 @t42)))) % 5.23/5.41 (assume @p181 (forall @t156 (or @t155 @t150 @t115 @t49 @t148 @t76 (not (tptp.totalorderP @t153)) @t154 @t157 (tptp.leq @t141 @t42)))) % 5.23/5.41 (assume @p182 (forall @t156 (or @t86 @t109 (not (= (tptp.app (tptp.app @t113 (tptp.cons @t4 @t141)) (tptp.cons @t42 @t149)) @t153)) @t150 @t142 @t115 @t76 @t48 (not (tptp.cyclefreeP @t153)) @t154))) % 5.23/5.41 (assume @p183 @t158) % 5.23/5.41 (assume @p184 (tptp.ssList tptp.sk2)) % 5.23/5.41 (assume @p185 (tptp.ssList tptp.sk3)) % 5.23/5.41 (assume @p186 (tptp.ssList tptp.sk4)) % 5.23/5.41 (assume @p187 (= tptp.sk2 tptp.sk4)) % 5.23/5.41 (assume @p188 @t159) % 5.23/5.41 (assume @p189 (forall @t163 (or @t162 (tptp.ssItem @t161)))) % 5.23/5.41 (assume @p190 (forall @t163 (or @t162 (tptp.memberP tptp.sk1 @t161)))) % 5.23/5.41 (assume @p191 (forall @t163 (or @t162 (not (= @t160 @t161))))) % 5.23/5.41 (assume @p192 (or @t165 @t164)) % 5.23/5.41 (assume @p193 (or @t165 @t166)) % 5.23/5.41 (assume @p194 (or @t168 @t164)) % 5.23/5.41 (assume @p195 (or @t169 @t164)) % 5.23/5.41 (assume @p196 (forall @t163 (or @t162 @t172 @t171 @t170 @t164))) % 5.23/5.41 (assume @p197 @t173) % 5.23/5.41 (assume @p198 (or @t169 @t166)) % 5.23/5.41 (assume @p199 (forall @t163 (or @t162 @t172 @t171 @t170 @t166))) % 5.23/5.41 (step @p200 :rule instantiate :premises (@p80) :args ((@list @t176))) % 5.23/5.41 (step @p201 :rule instantiate :premises (@p84) :args (@t177)) % 5.23/5.41 (step @p202 :rule instantiate :premises (@p52) :args ((@list @t174 tptp.sk1))) % 5.23/5.41 (step @p203 :rule instantiate :premises (@p189) :args (@t178)) % 5.23/5.41 (step @p204 :rule cnf_or_pos :args (@t181)) % 5.23/5.41 (step @p205 :rule reordering :premises (@p204) :args ((or @t180 @t179 (not @t181)))) % 5.23/5.41 (step @p206 :rule chain_m_resolution :premises (@p205 @p9 @p203) :args (@t179 @t182 (@list @t2 @t181))) % 5.23/5.41 (step @p207 :rule cnf_or_pos :args (@t187)) % 5.23/5.41 (step @p208 :rule reordering :premises (@p207) :args ((or @t186 @t185 @t183 (not @t187)))) % 5.23/5.41 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p202 @p201) :args (@t183 @t188 (@list @t179 @t184 @t187))) % 5.23/5.41 (step @p210 :rule refl :args (@t63)) % 5.23/5.41 (step @p211 :rule refl :args (@t48)) % 5.23/5.41 (step @p212 :rule eq-symm :args (@t64 tptp.nil)) % 5.23/5.41 (step @p213 :rule cong :premises (@p212) :args (@t71)) % 5.23/5.41 (step @p214 :rule nary_cong :premises (@p213 @p211 @p210) :args (@t72)) % 5.23/5.41 (step @p215 :rule cong :premises (@p214) :args (@t73)) % 5.23/5.41 (step @p216 :rule eq_resolve :premises (@p96 @p215)) % 5.23/5.41 (step @p217 :rule instantiate :premises (@p216) :args (@t177)) % 5.23/5.41 (step @p218 :rule cnf_or_pos :args (@t191)) % 5.23/5.41 (step @p219 :rule reordering :premises (@p218) :args ((or @t186 @t185 @t190 (not @t191)))) % 5.23/5.41 (step @p220 :rule chain_m_resolution :premises (@p219 @p206 @p202 @p217) :args (@t190 @t188 (@list @t179 @t184 @t191))) % 5.23/5.41 (step @p221 :rule cnf_or_pos :args (@t195)) % 5.23/5.41 (step @p222 :rule reordering :premises (@p221) :args ((or @t189 @t192 @t194 (not @t195)))) % 5.23/5.41 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p209 @p200) :args (@t194 (@list true false false) (@list @t189 @t183 @t195))) % 5.23/5.41 (step @p224 :rule aci_norm :args ((= (or false @t49 @t63 @t197 @t196) (or @t49 @t63 @t197 @t196)))) % 5.23/5.41 (step @p225 :rule refl :args (@t196)) % 5.23/5.41 (step @p226 :rule refl :args (@t197)) % 5.23/5.41 (step @p227 :rule refl :args (@t49)) % 5.23/5.41 (step @p228 :rule evaluate :args ((not true))) % 5.23/5.41 (step @p229 :rule eq-refl :args (@t91)) % 5.23/5.41 (step @p230 :rule cong :premises (@p229) :args (@t198)) % 5.23/5.41 (step @p231 :rule trans :premises (@p230 @p228)) % 5.23/5.41 (step @p232 :rule nary_cong :premises (@p231 @p227 @p210 @p226 @p225) :args (@t199)) % 5.23/5.41 (step @p233 :rule trans :premises (@p232 @p224)) % 5.23/5.41 (step @p234 :rule cong :premises (@p233) :args ((forall @t43 @t199))) % 5.23/5.41 (step @p235 :rule quant-var-elim-eq :args ((= (forall @t200 (or (not (= @t113 @t91)) @t123 @t49 @t63 @t115 @t122)) @t199))) % 5.23/5.41 (step @p236 :rule refl :args (@t122)) % 5.23/5.41 (step @p237 :rule refl :args (@t115)) % 5.23/5.41 (step @p238 :rule refl :args (@t63)) % 5.23/5.41 (step @p239 :rule refl :args (@t49)) % 5.23/5.41 (step @p240 :rule refl :args (@t123)) % 5.23/5.41 (step @p241 :rule eq-symm :args (@t91 @t113)) % 5.23/5.41 (step @p242 :rule cong :premises (@p241) :args (@t123)) % 5.23/5.41 (step @p243 :rule nary_cong :premises (@p242 @p240 @p239 @p238 @p237 @p236) :args (@t201)) % 5.23/5.41 (step @p244 :rule aci_norm :args ((= @t124 @t201))) % 5.23/5.41 (step @p245 :rule trans :premises (@p244 @p243)) % 5.23/5.41 (step @p246 :rule cong :premises (@p245) :args (@t202)) % 5.23/5.41 (step @p247 :rule trans :premises (@p246 @p235)) % 5.23/5.41 (step @p248 :rule cong :premises (@p247) :args (@t203)) % 5.23/5.41 (step @p249 :rule quant-merge-prenex :args ((= @t203 @t125))) % 5.23/5.41 (step @p250 :rule symm :premises (@p249)) % 5.23/5.41 (step @p251 :rule trans :premises (@p250 @p248)) % 5.23/5.41 (step @p252 :rule trans :premises (@p251 @p234)) % 5.23/5.41 (step @p253 :rule eq_resolve :premises (@p140 @p252)) % 5.23/5.41 (step @p254 :rule instantiate :premises (@p253) :args ((@list @t204 @t176))) % 5.23/5.41 (step @p255 :rule true_intro :premises (@p183)) % 5.23/5.41 (step @p256 :rule eq-symm :args (@t138 @t4)) % 5.23/5.41 (step @p257 :rule refl :args (@t76)) % 5.23/5.41 (step @p258 :rule refl :args (@t121)) % 5.23/5.41 (step @p259 :rule nary_cong :premises (@p258 @p257 @p227 @p256) :args (@t139)) % 5.23/5.41 (step @p260 :rule cong :premises (@p259) :args (@t140)) % 5.23/5.41 (step @p261 :rule eq_resolve :premises (@p166 @p260)) % 5.23/5.41 (step @p262 :rule instantiate :premises (@p261) :args (@t205)) % 5.23/5.41 (step @p263 :rule instantiate :premises (@p190) :args (@t178)) % 5.23/5.41 (step @p264 :rule cnf_or_pos :args (@t207)) % 5.23/5.41 (step @p265 :rule reordering :premises (@p264) :args ((or @t180 @t206 (not @t207)))) % 5.23/5.41 (step @p266 :rule chain_m_resolution :premises (@p265 @p9 @p263) :args (@t206 @t182 (@list @t2 @t207))) % 5.23/5.41 (step @p267 :rule cnf_or_pos :args (@t212)) % 5.23/5.41 (step @p268 :rule reordering :premises (@p267) :args ((or @t210 @t211 @t186 @t209 (not @t212)))) % 5.23/5.41 (step @p269 :rule chain_m_resolution :premises (@p268 @p183 @p266 @p206 @p262) :args (@t209 @t213 (@list @t158 @t206 @t179 @t212))) % 5.23/5.41 (step @p270 :rule symm :premises (@p269)) % 5.23/5.41 (step @p271 :rule cong :premises (@p270) :args (@t214)) % 5.23/5.41 (step @p272 :rule trans :premises (@p271 @p255)) % 5.23/5.41 (step @p273 :rule true_elim :premises (@p272)) % 5.23/5.41 (step @p274 :rule instantiate :premises (@p53) :args (@t205)) % 5.23/5.41 (step @p275 :rule cnf_or_pos :args (@t219)) % 5.23/5.41 (step @p276 :rule reordering :premises (@p275) :args ((or @t192 @t218 @t216 @t215 (not @t219)))) % 5.23/5.41 (step @p277 :rule chain_m_resolution :premises (@p276 @p209 @p274 @p273 @p254) :args (@t215 @t213 (@list @t183 @t217 @t214 @t219))) % 5.23/5.41 (step @p278 :rule instantiate :premises (@p261) :args ((@list tptp.sk1 @t220))) % 5.23/5.41 (step @p279 :rule instantiate :premises (@p189) :args (@t221)) % 5.23/5.41 (step @p280 :rule cnf_or_pos :args (@t224)) % 5.23/5.41 (step @p281 :rule reordering :premises (@p280) :args ((or @t223 @t222 (not @t224)))) % 5.23/5.41 (step @p282 :rule chain_m_resolution :premises (@p281 @p10 @p279) :args (@t222 @t182 (@list @t3 @t224))) % 5.23/5.41 (step @p283 :rule instantiate :premises (@p190) :args (@t221)) % 5.23/5.41 (step @p284 :rule cnf_or_pos :args (@t226)) % 5.23/5.41 (step @p285 :rule reordering :premises (@p284) :args ((or @t223 @t225 (not @t226)))) % 5.23/5.41 (step @p286 :rule chain_m_resolution :premises (@p285 @p10 @p283) :args (@t225 @t182 (@list @t3 @t226))) % 5.23/5.41 (step @p287 :rule cnf_or_pos :args (@t230)) % 5.23/5.41 (step @p288 :rule reordering :premises (@p287) :args ((or @t210 @t229 @t228 @t227 (not @t230)))) % 5.23/5.41 (step @p289 :rule chain_m_resolution :premises (@p288 @p183 @p286 @p282 @p278) :args (@t227 @t213 (@list @t158 @t225 @t222 @t230))) % 5.23/5.41 (step @p290 :rule refl :args (@t96)) % 5.23/5.41 (step @p291 :rule eq-symm :args (@t91 tptp.nil)) % 5.23/5.41 (step @p292 :rule cong :premises (@p291) :args (@t93)) % 5.23/5.41 (step @p293 :rule nary_cong :premises (@p292 @p210 @p227 @p290) :args (@t97)) % 5.23/5.41 (step @p294 :rule cong :premises (@p293) :args (@t98)) % 5.23/5.41 (step @p295 :rule eq_resolve :premises (@p117 @p294)) % 5.23/5.41 (step @p296 :rule instantiate :premises (@p295) :args (@t234)) % 5.23/5.41 (step @p297 :rule instantiate :premises (@p83) :args ((@list tptp.nil @t232))) % 5.23/5.41 (step @p298 :rule instantiate :premises (@p49) :args (@t235)) % 5.23/5.41 (step @p299 :rule cnf_or_pos :args (@t240)) % 5.23/5.41 (step @p300 :rule reordering :premises (@p299) :args ((or @t239 @t238 @t236 (not @t240)))) % 5.23/5.41 (step @p301 :rule chain_m_resolution :premises (@p300 @p8 @p298 @p297) :args (@t236 @t188 (@list @t1 @t237 @t240))) % 5.23/5.41 (step @p302 :rule instantiate :premises (@p48) :args (@t235)) % 5.23/5.41 (step @p303 :rule eq-symm :args (@t135 @t4)) % 5.23/5.41 (step @p304 :rule refl :args (@t106)) % 5.23/5.41 (step @p305 :rule nary_cong :premises (@p304 @p210 @p227 @p303) :args (@t136)) % 5.23/5.41 (step @p306 :rule cong :premises (@p305) :args (@t137)) % 5.23/5.41 (step @p307 :rule eq_resolve :premises (@p165 @p306)) % 5.23/5.41 (step @p308 :rule instantiate :premises (@p307) :args (@t235)) % 5.23/5.41 (step @p309 :rule aci_norm :args ((= (or false @t239 @t241) (or @t239 @t241)))) % 5.23/5.41 (step @p310 :rule refl :args (@t241)) % 5.23/5.41 (step @p311 :rule refl :args (@t239)) % 5.23/5.41 (step @p312 :rule eq-refl :args (tptp.nil)) % 5.23/5.41 (step @p313 :rule cong :premises (@p312) :args (@t242)) % 5.23/5.41 (step @p314 :rule trans :premises (@p313 @p228)) % 5.23/5.41 (step @p315 :rule nary_cong :premises (@p314 @p311 @p310) :args (@t243)) % 5.23/5.41 (step @p316 :rule trans :premises (@p315 @p309)) % 5.23/5.41 (step @p317 :rule quant-var-elim-eq :args ((= (forall @t6 (or (not (= @t4 tptp.nil)) @t57 @t49 @t56)) @t243))) % 5.23/5.41 (step @p318 :rule refl :args (@t56)) % 5.23/5.41 (step @p319 :rule refl :args (@t57)) % 5.23/5.41 (step @p320 :rule eq-symm :args (tptp.nil @t4)) % 5.23/5.41 (step @p321 :rule cong :premises (@p320) :args (@t57)) % 5.23/5.41 (step @p322 :rule nary_cong :premises (@p321 @p319 @p239 @p318) :args (@t244)) % 5.23/5.41 (step @p323 :rule aci_norm :args ((= @t58 @t244))) % 5.23/5.41 (step @p324 :rule trans :premises (@p323 @p322)) % 5.23/5.41 (step @p325 :rule cong :premises (@p324) :args (@t59)) % 5.23/5.41 (step @p326 :rule trans :premises (@p325 @p317)) % 5.23/5.41 (step @p327 :rule trans :premises (@p326 @p316)) % 5.23/5.41 (step @p328 :rule eq_resolve :premises (@p77 @p327)) % 5.23/5.41 (step @p329 :rule chain_m_resolution :premises (@p328 @p8) :args (@t241 (@list false) (@list @t1))) % 5.23/5.41 (step @p330 :rule cnf_or_pos :args (@t247)) % 5.23/5.41 (step @p331 :rule factoring :premises (@p330)) % 5.23/5.41 (step @p332 :rule reordering :premises (@p331) :args ((or @t239 @t246 @t245 (not @t247)))) % 5.23/5.41 (step @p333 :rule chain_m_resolution :premises (@p332 @p8 @p329 @p308) :args (@t245 @t188 (@list @t1 @t241 @t247))) % 5.23/5.41 (step @p334 :rule cnf_or_pos :args (@t253)) % 5.23/5.41 (step @p335 :rule reordering :premises (@p334) :args ((or @t252 @t251 @t249 @t248 (not @t253)))) % 5.23/5.41 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p302 @p301 @p296) :args (@t248 @t213 (@list @t245 @t250 @t236 @t253))) % 5.23/5.41 (step @p337 :rule bool-double-not-elim :args (@t193)) % 5.23/5.41 (step @p338 :rule refl :args (@t254)) % 5.23/5.41 (step @p339 :rule refl :args (@t255)) % 5.23/5.41 (step @p340 :rule refl :args (@t256)) % 5.23/5.41 (step @p341 :rule refl :args (@t257)) % 5.23/5.41 (step @p342 :rule refl :args (@t258)) % 5.23/5.41 (step @p343 :rule refl :args (@t259)) % 5.23/5.41 (step @p344 :rule nary_cong :premises (@p343 @p342 @p341 @p340 @p339 @p338 @p337) :args ((or @t259 @t258 @t257 @t256 @t255 @t254 (not @t194)))) % 5.23/5.41 (assume-push @p475 @t194) % 5.23/5.41 (assume-push @p476 @t248) % 5.23/5.41 (assume-push @p477 @t166) % 5.23/5.41 (assume-push @p478 @t159) % 5.23/5.41 (assume-push @p479 @t227) % 5.23/5.41 (assume-push @p480 @t209) % 5.23/5.41 (assume-push @p481 @t215) % 5.23/5.41 (step @p352 :rule evaluate :args ((= true false))) % 5.23/5.41 (step @p353 :rule false_intro :premises (@p223)) % 5.23/5.41 (step @p354 :rule refl :args (@t176)) % 5.23/5.41 (step @p355 :rule symm :premises (@p336)) % 5.23/5.41 (step @p356 :rule cong :premises (@p355 @p354) :args ((tptp.rearsegP @t231 @t176))) % 5.23/5.41 (step @p357 :rule symm :premises (@p477)) % 5.23/5.41 (step @p358 :rule trans :premises (@p188 @p357)) % 5.23/5.41 (step @p359 :rule symm :premises (@p289)) % 5.23/5.41 (step @p360 :rule trans :premises (@p270 @p289)) % 5.23/5.41 (step @p361 :rule trans :premises (@p360 @p359 @p358 @p336)) % 5.23/5.41 (step @p362 :rule cong :premises (@p361 @p354) :args (@t215)) % 5.23/5.41 (step @p363 :rule true_intro :premises (@p277)) % 5.23/5.41 (step @p364 :rule symm :premises (@p363)) % 5.23/5.41 (step @p365 :rule trans :premises (@p364 @p362 @p356 @p353)) % 5.23/5.41 (step @p366 false :rule eq_resolve :premises (@p365 @p352)) % 5.23/5.41 (step-pop @p482 :rule scope :premises (@p366)) % 5.23/5.41 (step-pop @p483 :rule scope :premises (@p482)) % 5.23/5.41 (step-pop @p484 :rule scope :premises (@p483)) % 5.23/5.41 (step-pop @p485 :rule scope :premises (@p484)) % 5.23/5.41 (step-pop @p486 :rule scope :premises (@p485)) % 5.23/5.41 (step-pop @p487 :rule scope :premises (@p486)) % 5.23/5.41 (step-pop @p488 :rule scope :premises (@p487)) % 5.23/5.41 (step @p367 :rule process_scope :premises (@p488) :args (false)) % 5.23/5.41 (assume-push @p489 @t159) % 5.23/5.41 (assume-push @p490 @t166) % 5.23/5.41 (assume-push @p491 @t248) % 5.23/5.41 (assume-push @p492 @t209) % 5.23/5.41 (assume-push @p493 @t227) % 5.23/5.41 (assume-push @p494 @t215) % 5.23/5.41 (assume-push @p495 @t194) % 5.23/5.41 (step @p382 :rule and_intro :premises (@p223 @p336 @p490 @p188 @p289 @p269 @p277)) % 5.23/5.41 (step-pop @p496 :rule scope :premises (@p382)) % 5.23/5.41 (step-pop @p497 :rule scope :premises (@p496)) % 5.23/5.41 (step-pop @p498 :rule scope :premises (@p497)) % 5.23/5.41 (step-pop @p499 :rule scope :premises (@p498)) % 5.23/5.41 (step-pop @p500 :rule scope :premises (@p499)) % 5.23/5.41 (step-pop @p501 :rule scope :premises (@p500)) % 5.23/5.41 (step-pop @p502 :rule scope :premises (@p501)) % 5.23/5.41 (step @p383 :rule process_scope :premises (@p502) :args (@t260)) % 5.23/5.41 (step @p391 :rule implies_elim :premises (@p383)) % 5.23/5.41 (step @p392 :rule resolution :premises (@p391 @p367) :args (true @t260)) % 5.23/5.41 (step @p393 :rule not_and :premises (@p392)) % 5.23/5.41 (step @p394 :rule eq_resolve :premises (@p393 @p344)) % 5.23/5.41 (step @p395 :rule chain_m_resolution :premises (@p394 @p188 @p336 @p269 @p289 @p277 @p223) :args (@t258 (@list false false false false false true) (@list @t159 @t248 @t209 @t227 @t215 @t193))) % 5.23/5.41 (step @p396 :rule chain_m_resolution :premises (@p193 @p395) :args (@t165 @t261 @t262)) % 5.23/5.41 (step @p397 :rule instantiate :premises (@p191) :args (@t263)) % 5.23/5.41 (step @p398 :rule cnf_or_pos :args (@t268)) % 5.23/5.41 (step @p399 :rule reordering :premises (@p398) :args ((or @t267 @t266 (not @t268)))) % 5.23/5.41 (step @p400 :rule chain_m_resolution :premises (@p399 @p396 @p397) :args (@t266 @t182 (@list @t165 @t268))) % 5.23/5.41 (step @p401 :rule instantiate :premises (@p189) :args (@t263)) % 5.23/5.41 (step @p402 :rule cnf_or_pos :args (@t270)) % 5.23/5.41 (step @p403 :rule reordering :premises (@p402) :args ((or @t267 @t269 (not @t270)))) % 5.23/5.41 (step @p404 :rule chain_m_resolution :premises (@p403 @p396 @p401) :args (@t269 @t182 (@list @t165 @t270))) % 5.23/5.41 (step @p405 :rule eq-symm :args (@t113 @t4)) % 5.23/5.41 (step @p406 :rule refl :args (@t131)) % 5.23/5.41 (step @p407 :rule refl :args (@t120)) % 5.23/5.41 (step @p408 :rule refl :args (@t132)) % 5.23/5.41 (step @p409 :rule nary_cong :premises (@p408 @p210 @p211 @p407 @p406 @p405) :args (@t133)) % 5.23/5.41 (step @p410 :rule cong :premises (@p409) :args (@t134)) % 5.23/5.41 (step @p411 :rule eq_resolve :premises (@p158 @p410)) % 5.23/5.41 (step @p412 :rule instantiate :premises (@p411) :args ((@list tptp.sk6 tptp.nil @t264))) % 5.23/5.41 (step @p413 :rule instantiate :premises (@p190) :args (@t263)) % 5.23/5.41 (step @p414 :rule cnf_or_pos :args (@t272)) % 5.23/5.41 (step @p415 :rule reordering :premises (@p414) :args ((or @t267 @t271 (not @t272)))) % 5.23/5.41 (step @p416 :rule chain_m_resolution :premises (@p415 @p396 @p413) :args (@t271 @t182 (@list @t165 @t272))) % 5.23/5.41 (step @p417 :rule refl :args (@t53)) % 5.23/5.41 (step @p418 :rule nary_cong :premises (@p292 @p210 @p227 @p417) :args (@t94)) % 5.23/5.41 (step @p419 :rule cong :premises (@p418) :args (@t95)) % 5.23/5.41 (step @p420 :rule eq_resolve :premises (@p116 @p419)) % 5.23/5.41 (step @p421 :rule instantiate :premises (@p420) :args (@t234)) % 5.23/5.41 (step @p422 :rule cnf_or_pos :args (@t274)) % 5.23/5.41 (step @p423 :rule reordering :premises (@p422) :args ((or @t252 @t273 @t251 @t249 (not @t274)))) % 5.23/5.41 (step @p424 :rule chain_m_resolution :premises (@p423 @p333 @p302 @p301 @p421) :args (@t273 @t213 (@list @t245 @t250 @t236 @t274))) % 5.23/5.41 (step @p425 :rule refl :args (@t166)) % 5.23/5.41 (step @p426 :rule eq-symm :args (@t167 tptp.sk3)) % 5.23/5.41 (step @p427 :rule nary_cong :premises (@p426 @p425) :args (@t173)) % 5.23/5.41 (step @p428 :rule eq_resolve :premises (@p197 @p427)) % 5.23/5.41 (step @p429 :rule reordering :premises (@p428) :args ((or @t166 @t275))) % 5.23/5.41 (step @p430 :rule chain_m_resolution :premises (@p429 @p395) :args (@t275 @t261 @t262)) % 5.23/5.41 (assume-push @p503 @t159) % 5.23/5.41 (assume-push @p504 @t275) % 5.23/5.41 (assume-push @p505 @t273) % 5.23/5.41 (assume-push @p506 @t271) % 5.23/5.41 (assume-push @p507 @t271) % 5.23/5.41 (assume-push @p508 @t159) % 5.23/5.41 (assume-push @p509 @t275) % 5.23/5.41 (assume-push @p510 @t273) % 5.23/5.41 (step @p439 :rule true_intro :premises (@p506)) % 5.23/5.41 (step @p440 :rule refl :args (@t264)) % 5.23/5.41 (step @p441 :rule symm :premises (@p188)) % 5.23/5.41 (step @p442 :rule symm :premises (@p504)) % 5.23/5.41 (step @p443 :rule symm :premises (@p424)) % 5.23/5.41 (step @p444 :rule refl :args (tptp.sk6)) % 5.23/5.41 (step @p445 :rule cong :premises (@p444 @p443) :args ((tptp.cons tptp.sk6 @t233))) % 5.23/5.41 (step @p446 :rule trans :premises (@p445 @p442 @p441)) % 5.23/5.41 (step @p447 :rule symm :premises (@p445)) % 5.23/5.41 (step @p448 :rule trans :premises (@p447 @p446)) % 5.23/5.41 (step @p449 :rule cong :premises (@p448 @p440) :args (@t276)) % 5.23/5.41 (step @p450 :rule trans :premises (@p449 @p439)) % 5.23/5.41 (step @p451 :rule true_elim :premises (@p450)) % 5.23/5.41 (step-pop @p511 :rule scope :premises (@p451)) % 5.23/5.41 (step-pop @p512 :rule scope :premises (@p511)) % 5.23/5.41 (step-pop @p513 :rule scope :premises (@p512)) % 5.23/5.41 (step-pop @p514 :rule scope :premises (@p513)) % 5.23/5.41 (step @p452 :rule process_scope :premises (@p514) :args (@t276)) % 5.23/5.41 (step @p457 :rule and_intro :premises (@p506 @p188 @p504 @p424)) % 5.23/5.41 (step @p458 :rule modus_ponens :premises (@p457 @p452)) % 5.23/5.41 (step-pop @p515 :rule scope :premises (@p458)) % 5.23/5.41 (step-pop @p516 :rule scope :premises (@p515)) % 5.23/5.41 (step-pop @p517 :rule scope :premises (@p516)) % 5.23/5.41 (step-pop @p518 :rule scope :premises (@p517)) % 5.23/5.41 (step @p459 :rule process_scope :premises (@p518) :args (@t276)) % 5.23/5.41 (step @p464 :rule implies_elim :premises (@p459)) % 5.23/5.41 (step @p465 :rule cnf_and_neg :args (@t277)) % 5.23/5.41 (step @p466 :rule resolution :premises (@p465 @p464) :args (true @t277)) % 5.23/5.41 (step @p467 :rule chain_m_resolution :premises (@p466 @p188 @p430 @p424 @p416) :args (@t276 @t213 (@list @t159 @t275 @t273 @t271))) % 5.23/5.41 (step @p468 :rule instantiate :premises (@p71) :args ((@list @t264))) % 5.23/5.41 (step @p469 :rule cnf_or_pos :args (@t281)) % 5.23/5.41 (step @p470 :rule reordering :premises (@p469) :args ((or @t278 @t280 (not @t281)))) % 5.23/5.41 (step @p471 :rule chain_m_resolution :premises (@p470 @p404 @p468) :args (@t280 @t182 (@list @t269 @t281))) % 5.23/5.41 (step @p472 :rule cnf_or_pos :args (@t283)) % 5.23/5.41 (step @p473 :rule reordering :premises (@p472) :args ((or @t239 @t267 @t265 @t278 @t282 @t279 (not @t283)))) % 5.23/5.41 (step @p474 false :rule chain_m_resolution :premises (@p473 @p471 @p467 @p412 @p404 @p400 @p396 @p8) :args (false (@list true false false false true false false) (@list @t279 @t276 @t283 @t269 @t265 @t165 @t1))) % 5.23/5.41 ) % 5.23/5.43 % SZS output end Proof % 5.23/5.43 % cvc5 exiting %------------------------------------------------------------------------------