%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC330-1 : 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 : n019.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 08:58:54 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.68s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC330-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:41:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.68 % SZS status Unsatisfiable % 0.38/0.68 % SZS output start Proof % 0.38/0.70 ( % 0.38/0.70 (declare-sort $$unsorted 0) % 0.38/0.70 (declare-const tptp.sk7 $$unsorted) % 0.38/0.70 (declare-const tptp.sk5 $$unsorted) % 0.38/0.70 (declare-const tptp.sk4 $$unsorted) % 0.38/0.70 (declare-const tptp.sk2 $$unsorted) % 0.38/0.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.nil $$unsorted) % 0.38/0.70 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.sk1 $$unsorted) % 0.38/0.70 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skac2 $$unsorted) % 0.38/0.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.sk3 $$unsorted) % 0.38/0.70 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.sk6 $$unsorted) % 0.38/0.70 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skac3 $$unsorted) % 0.38/0.70 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (define @t1 () (tptp.equalelemsP tptp.nil)) % 0.38/0.70 (define @t2 () (tptp.ssList tptp.nil)) % 0.38/0.70 (define @t3 () (@var "U" $$unsorted)) % 0.38/0.70 (define @t4 () (tptp.skaf83 @t3)) % 0.38/0.70 (define @t5 () (@list @t3)) % 0.38/0.70 (define @t6 () (tptp.skaf82 @t3)) % 0.38/0.70 (define @t7 () (tptp.skaf81 @t3)) % 0.38/0.70 (define @t8 () (tptp.skaf80 @t3)) % 0.38/0.70 (define @t9 () (tptp.skaf79 @t3)) % 0.38/0.70 (define @t10 () (tptp.skaf78 @t3)) % 0.38/0.70 (define @t11 () (tptp.skaf77 @t3)) % 0.38/0.70 (define @t12 () (tptp.skaf76 @t3)) % 0.38/0.70 (define @t13 () (tptp.skaf75 @t3)) % 0.38/0.70 (define @t14 () (tptp.skaf74 @t3)) % 0.38/0.70 (define @t15 () (tptp.skaf73 @t3)) % 0.38/0.70 (define @t16 () (tptp.skaf72 @t3)) % 0.38/0.70 (define @t17 () (tptp.skaf71 @t3)) % 0.38/0.70 (define @t18 () (tptp.skaf70 @t3)) % 0.38/0.70 (define @t19 () (tptp.skaf69 @t3)) % 0.38/0.70 (define @t20 () (tptp.skaf68 @t3)) % 0.38/0.70 (define @t21 () (tptp.skaf67 @t3)) % 0.38/0.70 (define @t22 () (tptp.skaf66 @t3)) % 0.38/0.70 (define @t23 () (tptp.skaf65 @t3)) % 0.38/0.70 (define @t24 () (tptp.skaf64 @t3)) % 0.38/0.70 (define @t25 () (tptp.skaf63 @t3)) % 0.38/0.70 (define @t26 () (tptp.skaf62 @t3)) % 0.38/0.70 (define @t27 () (tptp.skaf61 @t3)) % 0.38/0.70 (define @t28 () (tptp.skaf60 @t3)) % 0.38/0.70 (define @t29 () (tptp.skaf59 @t3)) % 0.38/0.70 (define @t30 () (tptp.skaf58 @t3)) % 0.38/0.70 (define @t31 () (tptp.skaf57 @t3)) % 0.38/0.70 (define @t32 () (tptp.skaf56 @t3)) % 0.38/0.70 (define @t33 () (tptp.skaf55 @t3)) % 0.38/0.70 (define @t34 () (tptp.skaf54 @t3)) % 0.38/0.70 (define @t35 () (tptp.skaf53 @t3)) % 0.38/0.70 (define @t36 () (tptp.skaf52 @t3)) % 0.38/0.70 (define @t37 () (tptp.skaf51 @t3)) % 0.38/0.70 (define @t38 () (tptp.skaf50 @t3)) % 0.38/0.70 (define @t39 () (tptp.skaf49 @t3)) % 0.38/0.70 (define @t40 () (tptp.skaf44 @t3)) % 0.38/0.70 (define @t41 () (@var "V" $$unsorted)) % 0.38/0.70 (define @t42 () (@list @t3 @t41)) % 0.38/0.70 (define @t43 () (tptp.skaf47 @t3 @t41)) % 0.38/0.70 (define @t44 () (tptp.skaf46 @t3 @t41)) % 0.38/0.70 (define @t45 () (tptp.skaf45 @t3 @t41)) % 0.38/0.70 (define @t46 () (tptp.skaf42 @t3 @t41)) % 0.38/0.70 (define @t47 () (not (tptp.ssItem @t3))) % 0.38/0.70 (define @t48 () (not (tptp.ssList @t3))) % 0.38/0.70 (define @t49 () (tptp.cons @t3 tptp.nil)) % 0.38/0.70 (define @t50 () (tptp.ssItem @t41)) % 0.38/0.70 (define @t51 () (tptp.duplicatefreeP @t3)) % 0.38/0.70 (define @t52 () (= tptp.nil @t3)) % 0.38/0.70 (define @t53 () (tptp.tl @t3)) % 0.38/0.70 (define @t54 () (tptp.hd @t3)) % 0.38/0.70 (define @t55 () (tptp.segmentP tptp.nil @t3)) % 0.38/0.70 (define @t56 () (not @t52)) % 0.38/0.70 (define @t57 () (or @t56 @t48 @t55)) % 0.38/0.70 (define @t58 () (forall @t5 @t57)) % 0.38/0.70 (define @t59 () (tptp.rearsegP tptp.nil @t3)) % 0.38/0.70 (define @t60 () (tptp.frontsegP tptp.nil @t3)) % 0.38/0.70 (define @t61 () (tptp.app @t41 @t3)) % 0.38/0.70 (define @t62 () (not (tptp.ssList @t41))) % 0.38/0.70 (define @t63 () (tptp.cons @t3 @t41)) % 0.38/0.70 (define @t64 () (tptp.cyclefreeP @t3)) % 0.38/0.70 (define @t65 () (tptp.equalelemsP @t3)) % 0.38/0.70 (define @t66 () (tptp.strictorderedP @t3)) % 0.38/0.70 (define @t67 () (tptp.totalorderedP @t3)) % 0.38/0.70 (define @t68 () (tptp.strictorderP @t3)) % 0.38/0.70 (define @t69 () (tptp.totalorderP @t3)) % 0.38/0.70 (define @t70 () (= @t41 @t3)) % 0.38/0.70 (define @t71 () (tptp.neq @t41 @t3)) % 0.38/0.70 (define @t72 () (not @t50)) % 0.38/0.70 (define @t73 () (tptp.leq @t3 @t41)) % 0.38/0.70 (define @t74 () (tptp.lt @t3 @t41)) % 0.38/0.70 (define @t75 () (not @t74)) % 0.38/0.70 (define @t76 () (tptp.lt @t41 @t3)) % 0.38/0.70 (define @t77 () (not (tptp.gt @t3 @t41))) % 0.38/0.70 (define @t78 () (tptp.gt @t41 @t3)) % 0.38/0.70 (define @t79 () (tptp.leq @t41 @t3)) % 0.38/0.70 (define @t80 () (not (tptp.geq @t3 @t41))) % 0.38/0.70 (define @t81 () (tptp.geq @t41 @t3)) % 0.38/0.70 (define @t82 () (not @t73)) % 0.38/0.70 (define @t83 () (= @t3 @t41)) % 0.38/0.70 (define @t84 () (not @t83)) % 0.38/0.70 (define @t85 () (tptp.cons @t41 @t3)) % 0.38/0.70 (define @t86 () (not (tptp.neq @t3 @t41))) % 0.38/0.70 (define @t87 () (tptp.app @t3 @t41)) % 0.38/0.70 (define @t88 () (= @t87 tptp.nil)) % 0.38/0.70 (define @t89 () (not @t88)) % 0.38/0.70 (define @t90 () (= tptp.nil @t41)) % 0.38/0.70 (define @t91 () (tptp.hd @t41)) % 0.38/0.70 (define @t92 () (tptp.strictorderedP @t41)) % 0.38/0.70 (define @t93 () (tptp.strictorderedP @t63)) % 0.38/0.70 (define @t94 () (not @t93)) % 0.38/0.70 (define @t95 () (tptp.totalorderedP @t41)) % 0.38/0.70 (define @t96 () (tptp.totalorderedP @t63)) % 0.38/0.70 (define @t97 () (not @t96)) % 0.38/0.70 (define @t98 () (not (tptp.segmentP @t3 @t41))) % 0.38/0.70 (define @t99 () (not (tptp.rearsegP @t3 @t41))) % 0.38/0.70 (define @t100 () (not (tptp.frontsegP @t3 @t41))) % 0.38/0.70 (define @t101 () (not @t79)) % 0.38/0.70 (define @t102 () (tptp.tl @t41)) % 0.38/0.70 (define @t103 () (tptp.lt @t3 @t91)) % 0.38/0.70 (define @t104 () (tptp.leq @t3 @t91)) % 0.38/0.70 (define @t105 () (@var "W" $$unsorted)) % 0.38/0.70 (define @t106 () (tptp.app @t105 @t3)) % 0.38/0.70 (define @t107 () (not (tptp.ssList @t105))) % 0.38/0.70 (define @t108 () (@list @t3 @t41 @t105)) % 0.38/0.70 (define @t109 () (tptp.app @t3 @t105)) % 0.38/0.70 (define @t110 () (tptp.cons @t41 @t105)) % 0.38/0.70 (define @t111 () (tptp.memberP @t110 @t3)) % 0.38/0.70 (define @t112 () (or @t84 @t107 @t72 @t47 @t111)) % 0.38/0.70 (define @t113 () (forall @t108 @t112)) % 0.38/0.70 (define @t114 () (tptp.cons @t105 @t3)) % 0.38/0.70 (define @t115 () (not (tptp.ssItem @t105))) % 0.38/0.70 (define @t116 () (not (tptp.memberP @t3 @t41))) % 0.38/0.70 (define @t117 () (not (= @t87 @t105))) % 0.38/0.70 (define @t118 () (tptp.lt @t3 @t105)) % 0.38/0.70 (define @t119 () (not (tptp.lt @t41 @t105))) % 0.38/0.70 (define @t120 () (tptp.app @t105 @t41)) % 0.38/0.70 (define @t121 () (= @t41 @t105)) % 0.38/0.70 (define @t122 () (= @t3 @t105)) % 0.38/0.70 (define @t123 () (tptp.memberP @t41 @t105)) % 0.38/0.70 (define @t124 () (@var "X" $$unsorted)) % 0.38/0.70 (define @t125 () (not (tptp.ssList @t124))) % 0.38/0.70 (define @t126 () (tptp.cons @t105 @t124)) % 0.38/0.70 (define @t127 () (not (= @t63 @t126))) % 0.38/0.70 (define @t128 () (@list @t3 @t41 @t105 @t124)) % 0.38/0.70 (define @t129 () (tptp.segmentP @t124 @t41)) % 0.38/0.70 (define @t130 () (tptp.app @t87 @t105)) % 0.38/0.70 (define @t131 () (not (= @t130 @t124))) % 0.38/0.70 (define @t132 () (or @t131 @t107 @t48 @t62 @t125 @t129)) % 0.38/0.70 (define @t133 () (forall @t128 @t132)) % 0.38/0.70 (define @t134 () (not (tptp.frontsegP @t63 @t126))) % 0.38/0.70 (define @t135 () (tptp.app @t3 @t110)) % 0.38/0.70 (define @t136 () (not (tptp.ssItem @t124))) % 0.38/0.70 (define @t137 () (@var "Y" $$unsorted)) % 0.38/0.70 (define @t138 () (not (tptp.ssList @t137))) % 0.38/0.70 (define @t139 () (@list @t3 @t41 @t105 @t124 @t137)) % 0.38/0.70 (define @t140 () (tptp.lt @t41 @t124)) % 0.38/0.70 (define @t141 () (@var "Z" $$unsorted)) % 0.38/0.70 (define @t142 () (not (tptp.ssList @t141))) % 0.38/0.70 (define @t143 () (not (= (tptp.app @t135 (tptp.cons @t124 @t137)) @t141))) % 0.38/0.70 (define @t144 () (@list @t3 @t41 @t105 @t124 @t137 @t141)) % 0.38/0.70 (define @t145 () (tptp.leq @t41 @t124)) % 0.38/0.70 (define @t146 () (tptp.ssList tptp.sk2)) % 0.38/0.70 (define @t147 () (tptp.ssList tptp.sk3)) % 0.38/0.70 (define @t148 () (= tptp.sk2 tptp.sk4)) % 0.38/0.70 (define @t149 () (= tptp.sk1 tptp.sk3)) % 0.38/0.70 (define @t150 () (= tptp.nil tptp.sk4)) % 0.38/0.70 (define @t151 () (tptp.ssItem tptp.sk5)) % 0.38/0.70 (define @t152 () (= tptp.nil tptp.sk3)) % 0.38/0.70 (define @t153 () (tptp.ssList tptp.sk6)) % 0.38/0.70 (define @t154 () (tptp.ssList tptp.sk7)) % 0.38/0.70 (define @t155 () (tptp.cons tptp.sk5 tptp.nil)) % 0.38/0.70 (define @t156 () (= @t155 tptp.sk3)) % 0.38/0.70 (define @t157 () (or @t156 @t150)) % 0.38/0.70 (define @t158 () (tptp.app (tptp.app tptp.sk6 tptp.sk3) tptp.sk7)) % 0.38/0.70 (define @t159 () (= @t158 tptp.sk4)) % 0.38/0.70 (define @t160 () (@var "A" $$unsorted)) % 0.38/0.70 (define @t161 () (not (tptp.lt tptp.sk5 @t160))) % 0.38/0.70 (define @t162 () (not (tptp.memberP tptp.sk6 @t160))) % 0.38/0.70 (define @t163 () (not (tptp.ssItem @t160))) % 0.38/0.70 (define @t164 () (@list @t160)) % 0.38/0.70 (define @t165 () (not (tptp.lt @t160 tptp.sk5))) % 0.38/0.70 (define @t166 () (not (tptp.memberP tptp.sk7 @t160))) % 0.38/0.70 (define @t167 () (or @t156 @t152)) % 0.38/0.70 (define @t168 () (or @t159 @t152)) % 0.38/0.70 (define @t169 () (tptp.equalelemsP tptp.sk1)) % 0.38/0.70 (define @t170 () (not @t169)) % 0.38/0.70 (define @t171 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 0.38/0.70 (define @t172 () (not @t171)) % 0.38/0.70 (define @t173 () (not @t152)) % 0.38/0.70 (define @t174 () (not @t149)) % 0.38/0.70 (define @t175 () (not @t1)) % 0.38/0.70 (define @t176 () (and @t1 @t152 @t149 @t170)) % 0.38/0.70 (define @t177 () (tptp.segmentP tptp.nil tptp.nil)) % 0.38/0.70 (define @t178 () (not @t2)) % 0.38/0.70 (define @t179 () (not (= tptp.nil tptp.nil))) % 0.38/0.70 (define @t180 () (or @t179 @t178 @t177)) % 0.38/0.70 (define @t181 () (or @t56 @t56 @t48 @t55)) % 0.38/0.70 (define @t182 () (@list false)) % 0.38/0.70 (define @t183 () (and @t148 @t149 @t150 @t152 @t177)) % 0.38/0.70 (define @t184 () (not @t148)) % 0.38/0.70 (define @t185 () (= tptp.sk3 @t155)) % 0.38/0.70 (define @t186 () (@list tptp.sk5)) % 0.38/0.70 (define @t187 () (not @t151)) % 0.38/0.70 (define @t188 () (tptp.memberP tptp.nil tptp.sk5)) % 0.38/0.70 (define @t189 () (not @t188)) % 0.38/0.70 (define @t190 () (or @t189 @t187)) % 0.38/0.70 (define @t191 () (@list false false)) % 0.38/0.70 (define @t192 () (tptp.memberP @t110 @t41)) % 0.38/0.70 (define @t193 () (not (= @t41 @t41))) % 0.38/0.70 (define @t194 () (or @t193 @t107 @t72 @t72 @t192)) % 0.38/0.70 (define @t195 () (@list @t41 @t105)) % 0.38/0.70 (define @t196 () (or @t84 @t84 @t107 @t72 @t47 @t111)) % 0.38/0.70 (define @t197 () (forall @t5 @t112)) % 0.38/0.70 (define @t198 () (forall @t195 @t197)) % 0.38/0.70 (define @t199 () (forall (@list @t41 @t105 @t3) @t112)) % 0.38/0.70 (define @t200 () (tptp.memberP @t155 tptp.sk5)) % 0.38/0.70 (define @t201 () (or @t178 @t187 @t200)) % 0.38/0.70 (define @t202 () (@list false false false)) % 0.38/0.70 (define @t203 () (not @t200)) % 0.38/0.70 (define @t204 () (not @t185)) % 0.38/0.70 (define @t205 () (and @t189 @t152 @t185 @t200)) % 0.38/0.70 (define @t206 () (= tptp.sk4 @t158)) % 0.38/0.70 (define @t207 () (@list true)) % 0.38/0.70 (define @t208 () (@list @t152)) % 0.38/0.70 (define @t209 () (tptp.equalelemsP @t155)) % 0.38/0.70 (define @t210 () (or @t187 @t209)) % 0.38/0.70 (define @t211 () (and @t149 @t185 @t209)) % 0.38/0.70 (define @t212 () (tptp.segmentP @t130 @t41)) % 0.38/0.70 (define @t213 () (not (tptp.ssList @t130))) % 0.38/0.70 (define @t214 () (not (= @t130 @t130))) % 0.38/0.70 (define @t215 () (or @t214 @t107 @t48 @t62 @t213 @t212)) % 0.38/0.70 (define @t216 () (not (= @t124 @t130))) % 0.38/0.70 (define @t217 () (or @t216 @t216 @t107 @t48 @t62 @t125 @t129)) % 0.38/0.70 (define @t218 () (@list @t124)) % 0.38/0.70 (define @t219 () (or @t216 @t107 @t48 @t62 @t125 @t129)) % 0.38/0.70 (define @t220 () (forall @t218 @t219)) % 0.38/0.70 (define @t221 () (forall @t108 @t220)) % 0.38/0.70 (define @t222 () (tptp.ssList @t158)) % 0.38/0.70 (define @t223 () (and @t146 @t148 @t206)) % 0.38/0.70 (define @t224 () (tptp.segmentP @t158 tptp.sk3)) % 0.38/0.70 (define @t225 () (not @t222)) % 0.38/0.70 (define @t226 () (not @t147)) % 0.38/0.70 (define @t227 () (not @t153)) % 0.38/0.70 (define @t228 () (not @t154)) % 0.38/0.70 (define @t229 () (or @t228 @t227 @t226 @t225 @t224)) % 0.38/0.70 (define @t230 () (not @t224)) % 0.38/0.70 (define @t231 () (not @t206)) % 0.38/0.70 (define @t232 () (and @t148 @t149 @t172 @t206)) % 0.38/0.70 (assume @p1 @t1) % 0.38/0.70 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.38/0.70 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.38/0.70 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.38/0.70 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.38/0.70 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.38/0.70 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.38/0.70 (assume @p8 @t2) % 0.38/0.70 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.38/0.70 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.38/0.70 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.38/0.70 (assume @p12 (forall @t5 (tptp.ssItem @t4))) % 0.38/0.70 (assume @p13 (forall @t5 (tptp.ssList @t6))) % 0.38/0.70 (assume @p14 (forall @t5 (tptp.ssList @t7))) % 0.38/0.70 (assume @p15 (forall @t5 (tptp.ssList @t8))) % 0.38/0.70 (assume @p16 (forall @t5 (tptp.ssItem @t9))) % 0.38/0.70 (assume @p17 (forall @t5 (tptp.ssItem @t10))) % 0.38/0.70 (assume @p18 (forall @t5 (tptp.ssList @t11))) % 0.38/0.70 (assume @p19 (forall @t5 (tptp.ssList @t12))) % 0.38/0.70 (assume @p20 (forall @t5 (tptp.ssList @t13))) % 0.38/0.70 (assume @p21 (forall @t5 (tptp.ssItem @t14))) % 0.38/0.70 (assume @p22 (forall @t5 (tptp.ssList @t15))) % 0.38/0.70 (assume @p23 (forall @t5 (tptp.ssList @t16))) % 0.38/0.70 (assume @p24 (forall @t5 (tptp.ssList @t17))) % 0.38/0.70 (assume @p25 (forall @t5 (tptp.ssItem @t18))) % 0.38/0.70 (assume @p26 (forall @t5 (tptp.ssItem @t19))) % 0.38/0.70 (assume @p27 (forall @t5 (tptp.ssList @t20))) % 0.38/0.70 (assume @p28 (forall @t5 (tptp.ssList @t21))) % 0.38/0.70 (assume @p29 (forall @t5 (tptp.ssList @t22))) % 0.38/0.70 (assume @p30 (forall @t5 (tptp.ssItem @t23))) % 0.38/0.70 (assume @p31 (forall @t5 (tptp.ssItem @t24))) % 0.38/0.70 (assume @p32 (forall @t5 (tptp.ssList @t25))) % 0.38/0.70 (assume @p33 (forall @t5 (tptp.ssList @t26))) % 0.38/0.70 (assume @p34 (forall @t5 (tptp.ssList @t27))) % 0.38/0.70 (assume @p35 (forall @t5 (tptp.ssItem @t28))) % 0.38/0.70 (assume @p36 (forall @t5 (tptp.ssItem @t29))) % 0.38/0.70 (assume @p37 (forall @t5 (tptp.ssList @t30))) % 0.38/0.70 (assume @p38 (forall @t5 (tptp.ssList @t31))) % 0.38/0.70 (assume @p39 (forall @t5 (tptp.ssList @t32))) % 0.38/0.70 (assume @p40 (forall @t5 (tptp.ssItem @t33))) % 0.38/0.70 (assume @p41 (forall @t5 (tptp.ssItem @t34))) % 0.38/0.70 (assume @p42 (forall @t5 (tptp.ssList @t35))) % 0.38/0.70 (assume @p43 (forall @t5 (tptp.ssList @t36))) % 0.38/0.70 (assume @p44 (forall @t5 (tptp.ssList @t37))) % 0.38/0.70 (assume @p45 (forall @t5 (tptp.ssItem @t38))) % 0.38/0.70 (assume @p46 (forall @t5 (tptp.ssItem @t39))) % 0.38/0.70 (assume @p47 (forall @t5 (tptp.ssItem @t40))) % 0.38/0.70 (assume @p48 (forall @t42 (tptp.ssList (tptp.skaf48 @t3 @t41)))) % 0.38/0.70 (assume @p49 (forall @t42 (tptp.ssList @t43))) % 0.38/0.70 (assume @p50 (forall @t42 (tptp.ssList @t44))) % 0.38/0.70 (assume @p51 (forall @t42 (tptp.ssList @t45))) % 0.38/0.70 (assume @p52 (forall @t42 (tptp.ssList (tptp.skaf43 @t3 @t41)))) % 0.38/0.70 (assume @p53 (forall @t42 (tptp.ssList @t46))) % 0.38/0.70 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.38/0.70 (assume @p55 (forall @t5 (or @t47 (tptp.geq @t3 @t3)))) % 0.38/0.70 (assume @p56 (forall @t5 (or @t48 (tptp.segmentP @t3 tptp.nil)))) % 0.38/0.70 (assume @p57 (forall @t5 (or @t48 (tptp.segmentP @t3 @t3)))) % 0.38/0.70 (assume @p58 (forall @t5 (or @t48 (tptp.rearsegP @t3 tptp.nil)))) % 0.38/0.70 (assume @p59 (forall @t5 (or @t48 (tptp.rearsegP @t3 @t3)))) % 0.38/0.70 (assume @p60 (forall @t5 (or @t48 (tptp.frontsegP @t3 tptp.nil)))) % 0.38/0.70 (assume @p61 (forall @t5 (or @t48 (tptp.frontsegP @t3 @t3)))) % 0.38/0.70 (assume @p62 (forall @t5 (or @t47 (tptp.leq @t3 @t3)))) % 0.38/0.70 (assume @p63 (forall @t5 (or (not (tptp.lt @t3 @t3)) @t47))) % 0.38/0.70 (assume @p64 (forall @t5 (or @t47 (tptp.equalelemsP @t49)))) % 0.38/0.70 (assume @p65 (forall @t5 (or @t47 (tptp.duplicatefreeP @t49)))) % 0.38/0.70 (assume @p66 (forall @t5 (or @t47 (tptp.strictorderedP @t49)))) % 0.38/0.70 (assume @p67 (forall @t5 (or @t47 (tptp.totalorderedP @t49)))) % 0.38/0.70 (assume @p68 (forall @t5 (or @t47 (tptp.strictorderP @t49)))) % 0.38/0.70 (assume @p69 (forall @t5 (or @t47 (tptp.totalorderP @t49)))) % 0.38/0.70 (assume @p70 (forall @t5 (or @t47 (tptp.cyclefreeP @t49)))) % 0.38/0.70 (assume @p71 (forall @t5 (or (not (tptp.memberP tptp.nil @t3)) @t47))) % 0.38/0.70 (assume @p72 (forall @t42 (or @t48 @t51 @t50))) % 0.38/0.70 (assume @p73 (forall @t5 (or @t48 (= (tptp.app @t3 tptp.nil) @t3)))) % 0.38/0.70 (assume @p74 (forall @t5 (or @t48 (= (tptp.app tptp.nil @t3) @t3)))) % 0.38/0.70 (assume @p75 (forall @t5 (or @t48 (tptp.ssList @t53) @t52))) % 0.38/0.70 (assume @p76 (forall @t5 (or @t48 (tptp.ssItem @t54) @t52))) % 0.38/0.70 (assume @p77 @t58) % 0.38/0.70 (assume @p78 (forall @t5 (or (not @t55) @t48 @t52))) % 0.38/0.70 (assume @p79 (forall @t5 (or @t56 @t48 @t59))) % 0.38/0.70 (assume @p80 (forall @t5 (or (not @t59) @t48 @t52))) % 0.38/0.70 (assume @p81 (forall @t5 (or @t56 @t48 @t60))) % 0.38/0.70 (assume @p82 (forall @t5 (or (not @t60) @t48 @t52))) % 0.38/0.70 (assume @p83 (forall @t42 (or @t48 @t62 (tptp.ssList @t61)))) % 0.38/0.70 (assume @p84 (forall @t42 (or @t47 @t62 (tptp.ssList @t63)))) % 0.38/0.70 (assume @p85 (forall @t5 (or @t48 @t64 (tptp.leq @t38 @t39)))) % 0.38/0.70 (assume @p86 (forall @t5 (or @t48 @t64 (tptp.leq @t39 @t38)))) % 0.38/0.70 (assume @p87 (forall @t5 (or (not (= @t9 @t10)) @t48 @t65))) % 0.38/0.70 (assume @p88 (forall @t5 (or (not (tptp.lt @t19 @t18)) @t48 @t66))) % 0.38/0.70 (assume @p89 (forall @t5 (or (not (tptp.leq @t24 @t23)) @t48 @t67))) % 0.38/0.70 (assume @p90 (forall @t5 (or (not (tptp.lt @t28 @t29)) @t48 @t68))) % 0.38/0.70 (assume @p91 (forall @t5 (or (not (tptp.lt @t29 @t28)) @t48 @t68))) % 0.38/0.70 (assume @p92 (forall @t5 (or (not (tptp.leq @t33 @t34)) @t48 @t69))) % 0.38/0.70 (assume @p93 (forall @t5 (or (not (tptp.leq @t34 @t33)) @t48 @t69))) % 0.38/0.70 (assume @p94 (forall @t42 (or @t47 @t62 (= (tptp.tl @t63) @t41)))) % 0.38/0.70 (assume @p95 (forall @t42 (or @t47 @t62 (= (tptp.hd @t63) @t3)))) % 0.38/0.70 (assume @p96 (forall @t42 (or (not (= @t63 tptp.nil)) @t47 @t62))) % 0.38/0.70 (assume @p97 (forall @t42 (or (not (= @t63 @t41)) @t47 @t62))) % 0.38/0.70 (assume @p98 (forall @t42 (or @t48 @t62 @t71 @t70))) % 0.38/0.70 (assume @p99 (forall @t5 (or (not (tptp.singletonP @t3)) @t48 (= (tptp.cons @t40 tptp.nil) @t3)))) % 0.38/0.70 (assume @p100 (forall @t42 (or @t47 @t72 @t71 @t70))) % 0.38/0.70 (assume @p101 (forall @t42 (or @t75 @t72 @t47 @t73))) % 0.38/0.70 (assume @p102 (forall @t5 (or @t48 (= (tptp.cons @t54 @t53) @t3) @t52))) % 0.38/0.70 (assume @p103 (forall @t42 (or @t77 @t72 @t47 @t76))) % 0.38/0.70 (assume @p104 (forall @t42 (or @t75 @t47 @t72 @t78))) % 0.38/0.70 (assume @p105 (forall @t42 (or @t80 @t72 @t47 @t79))) % 0.38/0.70 (assume @p106 (forall @t42 (or @t82 @t47 @t72 @t81))) % 0.38/0.70 (assume @p107 (forall @t5 (or @t48 (= (tptp.cons @t4 @t6) @t3) @t52))) % 0.38/0.70 (assume @p108 (forall @t42 (or @t77 (not @t78) @t47 @t72))) % 0.38/0.70 (assume @p109 (forall @t42 (or @t84 @t75 @t72 @t47))) % 0.38/0.70 (assume @p110 (forall @t42 (or @t56 @t48 @t72 (tptp.strictorderedP @t85)))) % 0.38/0.70 (assume @p111 (forall @t42 (or @t56 @t48 @t72 (tptp.totalorderedP @t85)))) % 0.38/0.70 (assume @p112 (forall @t42 (or @t75 (not @t76) @t47 @t72))) % 0.38/0.70 (assume @p113 (forall @t42 (or @t84 @t86 @t62 @t48))) % 0.38/0.70 (assume @p114 (forall @t42 (or (not (= @t49 @t41)) @t47 @t62 (tptp.singletonP @t41)))) % 0.38/0.70 (assume @p115 (forall @t42 (or @t84 @t86 @t72 @t47))) % 0.38/0.70 (assume @p116 (forall @t42 (or @t89 @t62 @t48 @t52))) % 0.38/0.70 (assume @p117 (forall @t42 (or @t89 @t62 @t48 @t90))) % 0.38/0.70 (assume @p118 (forall @t42 (or @t47 @t62 (= (tptp.app @t49 @t41) @t63)))) % 0.38/0.70 (assume @p119 (forall @t42 (or @t82 @t72 @t47 @t74 @t83))) % 0.38/0.70 (assume @p120 (forall @t42 (or @t48 @t62 @t90 (= (tptp.hd @t61) @t91)))) % 0.38/0.70 (assume @p121 (forall @t42 (or @t94 @t62 @t47 @t92 @t90))) % 0.38/0.70 (assume @p122 (forall @t42 (or @t97 @t62 @t47 @t95 @t90))) % 0.38/0.70 (assume @p123 (forall @t42 (or @t80 (not @t81) @t47 @t72 @t70))) % 0.38/0.70 (assume @p124 (forall @t42 (or @t98 (not (tptp.segmentP @t41 @t3)) @t48 @t62 @t70))) % 0.38/0.70 (assume @p125 (forall @t42 (or @t99 (not (tptp.rearsegP @t41 @t3)) @t48 @t62 @t70))) % 0.38/0.70 (assume @p126 (forall @t42 (or @t100 (not (tptp.frontsegP @t41 @t3)) @t48 @t62 @t70))) % 0.38/0.70 (assume @p127 (forall @t42 (or @t82 @t101 @t47 @t72 @t70))) % 0.38/0.70 (assume @p128 (forall @t42 (or @t99 @t62 @t48 (= (tptp.app @t44 @t41) @t3)))) % 0.38/0.70 (assume @p129 (forall @t42 (or @t100 @t62 @t48 (= (tptp.app @t41 @t45) @t3)))) % 0.38/0.70 (assume @p130 (forall @t42 (or @t48 @t62 @t90 (= (tptp.tl @t61) (tptp.app @t102 @t3))))) % 0.38/0.70 (assume @p131 (forall @t42 (or @t94 @t62 @t47 @t103 @t90))) % 0.38/0.70 (assume @p132 (forall @t42 (or @t97 @t62 @t47 @t104 @t90))) % 0.38/0.70 (assume @p133 (forall @t108 (or @t99 @t107 @t62 @t48 (tptp.rearsegP @t106 @t41)))) % 0.38/0.70 (assume @p134 (forall @t108 (or @t100 @t107 @t62 @t48 (tptp.frontsegP @t109 @t41)))) % 0.38/0.70 (assume @p135 @t113) % 0.38/0.70 (assume @p136 (forall @t108 (or @t116 @t48 @t115 @t72 (tptp.memberP @t114 @t41)))) % 0.38/0.70 (assume @p137 (forall @t108 (or @t116 @t107 @t48 @t72 (tptp.memberP @t109 @t41)))) % 0.38/0.70 (assume @p138 (forall @t108 (or @t116 @t48 @t107 @t72 (tptp.memberP @t106 @t41)))) % 0.38/0.70 (assume @p139 (forall @t5 (or @t48 @t65 (= (tptp.app @t8 (tptp.cons @t10 (tptp.cons @t9 @t7))) @t3)))) % 0.38/0.70 (assume @p140 (forall @t108 (or @t117 @t48 @t62 @t107 (tptp.rearsegP @t105 @t41)))) % 0.38/0.70 (assume @p141 (forall @t108 (or @t117 @t62 @t48 @t107 (tptp.frontsegP @t105 @t3)))) % 0.38/0.70 (assume @p142 (forall @t42 (or @t56 (not @t90) @t62 @t48 @t88))) % 0.38/0.70 (assume @p143 (forall @t108 (or @t77 (not (tptp.gt @t41 @t105)) @t115 @t72 @t47 (tptp.gt @t3 @t105)))) % 0.38/0.70 (assume @p144 (forall @t108 (or @t82 @t119 @t115 @t72 @t47 @t118))) % 0.38/0.70 (assume @p145 (forall @t108 (or @t80 (not (tptp.geq @t41 @t105)) @t115 @t72 @t47 (tptp.geq @t3 @t105)))) % 0.38/0.70 (assume @p146 (forall @t108 (or @t48 @t62 @t107 (= (tptp.app @t120 @t3) (tptp.app @t105 @t61))))) % 0.38/0.70 (assume @p147 (forall @t108 (or (not (= @t87 @t109)) @t62 @t48 @t107 @t121))) % 0.38/0.70 (assume @p148 (forall @t108 (or (not (= @t87 @t120)) @t48 @t62 @t107 @t122))) % 0.38/0.70 (assume @p149 (forall @t108 (or @t98 (not (tptp.segmentP @t41 @t105)) @t107 @t62 @t48 (tptp.segmentP @t3 @t105)))) % 0.38/0.70 (assume @p150 (forall @t108 (or @t99 (not (tptp.rearsegP @t41 @t105)) @t107 @t62 @t48 (tptp.rearsegP @t3 @t105)))) % 0.38/0.70 (assume @p151 (forall @t108 (or @t100 (not (tptp.frontsegP @t41 @t105)) @t107 @t62 @t48 (tptp.frontsegP @t3 @t105)))) % 0.38/0.70 (assume @p152 (forall @t108 (or @t75 @t119 @t115 @t72 @t47 @t118))) % 0.38/0.70 (assume @p153 (forall @t108 (or @t82 (not (tptp.leq @t41 @t105)) @t115 @t72 @t47 (tptp.leq @t3 @t105)))) % 0.38/0.70 (assume @p154 (forall @t108 (or @t47 @t62 @t107 (= (tptp.cons @t3 (tptp.app @t41 @t105)) (tptp.app @t63 @t105))))) % 0.38/0.70 (assume @p155 (forall @t108 (or (not (tptp.memberP @t87 @t105)) @t62 @t48 @t115 @t123 (tptp.memberP @t3 @t105)))) % 0.38/0.70 (assume @p156 (forall @t42 (or (not @t104) (not @t95) @t62 @t47 @t96 @t90))) % 0.38/0.70 (assume @p157 (forall @t42 (or (not @t103) (not @t92) @t62 @t47 @t93 @t90))) % 0.38/0.70 (assume @p158 (forall @t108 (or (not (tptp.memberP @t63 @t105)) @t62 @t47 @t115 @t123 (= @t105 @t3)))) % 0.38/0.70 (assume @p159 (forall @t5 (or @t48 @t51 (= (tptp.app (tptp.app @t13 (tptp.cons @t14 @t12)) (tptp.cons @t14 @t11)) @t3)))) % 0.38/0.70 (assume @p160 (forall @t5 (or @t48 @t66 (= (tptp.app (tptp.app @t17 (tptp.cons @t19 @t16)) (tptp.cons @t18 @t15)) @t3)))) % 0.38/0.70 (assume @p161 (forall @t5 (or @t48 @t67 (= (tptp.app (tptp.app @t22 (tptp.cons @t24 @t21)) (tptp.cons @t23 @t20)) @t3)))) % 0.38/0.70 (assume @p162 (forall @t5 (or @t48 @t68 (= (tptp.app (tptp.app @t27 (tptp.cons @t29 @t26)) (tptp.cons @t28 @t25)) @t3)))) % 0.38/0.70 (assume @p163 (forall @t5 (or @t48 @t69 (= (tptp.app (tptp.app @t32 (tptp.cons @t34 @t31)) (tptp.cons @t33 @t30)) @t3)))) % 0.38/0.70 (assume @p164 (forall @t5 (or @t48 @t64 (= (tptp.app (tptp.app @t37 (tptp.cons @t39 @t36)) (tptp.cons @t38 @t35)) @t3)))) % 0.38/0.70 (assume @p165 (forall @t42 (or @t98 @t62 @t48 (= (tptp.app (tptp.app @t43 @t41) (tptp.skaf48 @t41 @t3)) @t3)))) % 0.38/0.70 (assume @p166 (forall @t42 (or @t116 @t72 @t48 (= (tptp.app @t46 (tptp.cons @t41 (tptp.skaf43 @t41 @t3))) @t3)))) % 0.38/0.70 (assume @p167 (forall @t128 (or @t127 @t115 @t47 @t125 @t62 @t122))) % 0.38/0.70 (assume @p168 (forall @t128 (or @t127 @t115 @t47 @t125 @t62 (= @t124 @t41)))) % 0.38/0.70 (assume @p169 (forall @t128 (or @t98 @t107 @t125 @t62 @t48 (tptp.segmentP (tptp.app (tptp.app @t124 @t3) @t105) @t41)))) % 0.38/0.70 (assume @p170 @t133) % 0.38/0.70 (assume @p171 (forall @t128 (or @t134 @t125 @t62 @t115 @t47 (tptp.frontsegP @t41 @t124)))) % 0.38/0.70 (assume @p172 (forall @t128 (or (not (= @t135 @t124)) @t107 @t48 @t72 @t125 (tptp.memberP @t124 @t41)))) % 0.38/0.70 (assume @p173 (forall @t128 (or @t134 @t125 @t62 @t115 @t47 @t122))) % 0.38/0.70 (assume @p174 (forall @t42 (or (not (= @t53 @t102)) (not (= @t54 @t91)) @t48 @t62 @t90 @t83 @t52))) % 0.38/0.70 (assume @p175 (forall @t128 (or @t100 (not (= @t105 @t124)) @t62 @t48 @t136 @t115 (tptp.frontsegP @t114 (tptp.cons @t124 @t41))))) % 0.38/0.70 (assume @p176 (forall @t139 (or (not (= (tptp.app @t135 (tptp.cons @t41 @t124)) @t137)) @t125 @t107 @t48 @t72 (not (tptp.duplicatefreeP @t137)) @t138))) % 0.38/0.70 (assume @p177 (forall @t139 (or (not (= (tptp.app @t3 (tptp.cons @t41 @t126)) @t137)) @t125 @t48 @t115 @t72 (not (tptp.equalelemsP @t137)) @t138 @t121))) % 0.38/0.70 (assume @p178 (forall @t144 (or @t143 @t138 @t107 @t48 @t136 @t72 (not (tptp.strictorderedP @t141)) @t142 @t140))) % 0.38/0.70 (assume @p179 (forall @t144 (or @t143 @t138 @t107 @t48 @t136 @t72 (not (tptp.totalorderedP @t141)) @t142 @t145))) % 0.38/0.70 (assume @p180 (forall @t144 (or @t143 @t138 @t107 @t48 @t136 @t72 (not (tptp.strictorderP @t141)) @t142 @t140 (tptp.lt @t124 @t41)))) % 0.38/0.70 (assume @p181 (forall @t144 (or @t143 @t138 @t107 @t48 @t136 @t72 (not (tptp.totalorderP @t141)) @t142 @t145 (tptp.leq @t124 @t41)))) % 0.38/0.70 (assume @p182 (forall @t144 (or @t82 @t101 (not (= (tptp.app (tptp.app @t105 (tptp.cons @t3 @t124)) (tptp.cons @t41 @t137)) @t141)) @t138 @t125 @t107 @t72 @t47 (not (tptp.cyclefreeP @t141)) @t142))) % 0.38/0.70 (assume @p183 (tptp.ssList tptp.sk1)) % 0.38/0.70 (assume @p184 @t146) % 0.38/0.70 (assume @p185 @t147) % 0.38/0.70 (assume @p186 (tptp.ssList tptp.sk4)) % 0.38/0.70 (assume @p187 @t148) % 0.38/0.70 (assume @p188 @t149) % 0.38/0.70 (assume @p189 (or @t151 @t150)) % 0.38/0.70 (assume @p190 (or @t151 @t152)) % 0.38/0.70 (assume @p191 (or @t153 @t150)) % 0.38/0.70 (assume @p192 (or @t154 @t150)) % 0.38/0.70 (assume @p193 @t157) % 0.38/0.70 (assume @p194 (or @t159 @t150)) % 0.38/0.70 (assume @p195 (forall @t164 (or @t163 @t162 @t161 @t150))) % 0.38/0.70 (assume @p196 (forall @t164 (or @t163 @t166 @t165 @t150))) % 0.38/0.70 (assume @p197 (or @t153 @t152)) % 0.38/0.70 (assume @p198 (or @t154 @t152)) % 0.38/0.70 (assume @p199 @t167) % 0.38/0.70 (assume @p200 @t168) % 0.38/0.70 (assume @p201 (forall @t164 (or @t163 @t162 @t161 @t152))) % 0.38/0.70 (assume @p202 (forall @t164 (or @t163 @t166 @t165 @t152))) % 0.38/0.70 (assume @p203 (or @t172 @t170)) % 0.38/0.70 (step @p204 :rule bool-double-not-elim :args (@t169)) % 0.38/0.70 (step @p205 :rule refl :args (@t173)) % 0.38/0.70 (step @p206 :rule refl :args (@t174)) % 0.38/0.70 (step @p207 :rule refl :args (@t175)) % 0.38/0.70 (step @p208 :rule nary_cong :premises (@p207 @p206 @p205 @p204) :args ((or @t175 @t174 @t173 (not @t170)))) % 0.38/0.70 (assume-push @p517 @t1) % 0.38/0.70 (assume-push @p518 @t152) % 0.38/0.70 (assume-push @p519 @t149) % 0.38/0.70 (assume-push @p520 @t170) % 0.38/0.70 (step @p213 :rule evaluate :args ((= false true))) % 0.38/0.70 (step @p214 :rule true_intro :premises (@p1)) % 0.38/0.70 (step @p215 :rule symm :premises (@p518)) % 0.38/0.70 (step @p216 :rule trans :premises (@p188 @p215)) % 0.38/0.70 (step @p217 :rule cong :premises (@p216) :args (@t169)) % 0.38/0.70 (step @p218 :rule false_intro :premises (@p520)) % 0.38/0.70 (step @p219 :rule symm :premises (@p218)) % 0.38/0.70 (step @p220 :rule trans :premises (@p219 @p217 @p214)) % 0.38/0.70 (step @p221 false :rule eq_resolve :premises (@p220 @p213)) % 0.38/0.70 (step-pop @p521 :rule scope :premises (@p221)) % 0.38/0.70 (step-pop @p522 :rule scope :premises (@p521)) % 0.38/0.70 (step-pop @p523 :rule scope :premises (@p522)) % 0.38/0.70 (step-pop @p524 :rule scope :premises (@p523)) % 0.38/0.70 (step @p222 :rule process_scope :premises (@p524) :args (false)) % 0.38/0.70 (assume-push @p525 @t1) % 0.38/0.70 (assume-push @p526 @t149) % 0.38/0.70 (assume-push @p527 @t152) % 0.38/0.70 (assume-push @p528 @t170) % 0.38/0.70 (step @p231 :rule and_intro :premises (@p1 @p527 @p188 @p528)) % 0.38/0.70 (step-pop @p529 :rule scope :premises (@p231)) % 0.38/0.70 (step-pop @p530 :rule scope :premises (@p529)) % 0.38/0.70 (step-pop @p531 :rule scope :premises (@p530)) % 0.38/0.70 (step-pop @p532 :rule scope :premises (@p531)) % 0.38/0.70 (step @p232 :rule process_scope :premises (@p532) :args (@t176)) % 0.38/0.70 (step @p237 :rule implies_elim :premises (@p232)) % 0.38/0.70 (step @p238 :rule resolution :premises (@p237 @p222) :args (true @t176)) % 0.38/0.70 (step @p239 :rule not_and :premises (@p238)) % 0.38/0.70 (step @p240 :rule eq_resolve :premises (@p239 @p208)) % 0.38/0.70 (step @p241 :rule reordering :premises (@p240) :args ((or @t169 @t175 @t174 @t173))) % 0.38/0.70 (step @p242 :rule aci_norm :args ((= (or false @t178 @t177) (or @t178 @t177)))) % 0.38/0.70 (step @p243 :rule refl :args (@t177)) % 0.38/0.70 (step @p244 :rule refl :args (@t178)) % 0.38/0.70 (step @p245 :rule evaluate :args ((not true))) % 0.38/0.70 (step @p246 :rule eq-refl :args (tptp.nil)) % 0.38/0.70 (step @p247 :rule cong :premises (@p246) :args (@t179)) % 0.38/0.70 (step @p248 :rule trans :premises (@p247 @p245)) % 0.38/0.70 (step @p249 :rule nary_cong :premises (@p248 @p244 @p243) :args (@t180)) % 0.38/0.70 (step @p250 :rule trans :premises (@p249 @p242)) % 0.38/0.70 (step @p251 :rule quant-var-elim-eq :args ((= (forall @t5 (or (not (= @t3 tptp.nil)) @t56 @t48 @t55)) @t180))) % 0.38/0.70 (step @p252 :rule refl :args (@t55)) % 0.38/0.70 (step @p253 :rule refl :args (@t48)) % 0.38/0.70 (step @p254 :rule refl :args (@t56)) % 0.38/0.70 (step @p255 :rule eq-symm :args (tptp.nil @t3)) % 0.38/0.70 (step @p256 :rule cong :premises (@p255) :args (@t56)) % 0.38/0.70 (step @p257 :rule nary_cong :premises (@p256 @p254 @p253 @p252) :args (@t181)) % 0.38/0.70 (step @p258 :rule aci_norm :args ((= @t57 @t181))) % 0.38/0.70 (step @p259 :rule trans :premises (@p258 @p257)) % 0.38/0.70 (step @p260 :rule cong :premises (@p259) :args (@t58)) % 0.38/0.70 (step @p261 :rule trans :premises (@p260 @p251)) % 0.38/0.70 (step @p262 :rule trans :premises (@p261 @p250)) % 0.38/0.70 (step @p263 :rule eq_resolve :premises (@p77 @p262)) % 0.38/0.70 (step @p264 :rule chain_m_resolution :premises (@p263 @p8) :args (@t177 @t182 (@list @t2))) % 0.38/0.70 (assume-push @p533 @t148) % 0.38/0.70 (assume-push @p534 @t149) % 0.38/0.70 (assume-push @p535 @t150) % 0.38/0.70 (assume-push @p536 @t152) % 0.38/0.70 (assume-push @p537 @t177) % 0.38/0.70 (assume-push @p538 @t177) % 0.38/0.70 (assume-push @p539 @t150) % 0.38/0.70 (assume-push @p540 @t148) % 0.38/0.70 (assume-push @p541 @t152) % 0.38/0.70 (assume-push @p542 @t149) % 0.38/0.70 (step @p275 :rule true_intro :premises (@p264)) % 0.38/0.70 (step @p276 :rule symm :premises (@p536)) % 0.38/0.70 (step @p277 :rule trans :premises (@p188 @p276)) % 0.38/0.70 (step @p278 :rule symm :premises (@p535)) % 0.38/0.70 (step @p279 :rule trans :premises (@p187 @p278)) % 0.38/0.70 (step @p280 :rule cong :premises (@p279 @p277) :args (@t171)) % 0.38/0.70 (step @p281 :rule trans :premises (@p280 @p275)) % 0.38/0.70 (step @p282 :rule true_elim :premises (@p281)) % 0.38/0.70 (step-pop @p543 :rule scope :premises (@p282)) % 0.38/0.70 (step-pop @p544 :rule scope :premises (@p543)) % 0.38/0.70 (step-pop @p545 :rule scope :premises (@p544)) % 0.38/0.70 (step-pop @p546 :rule scope :premises (@p545)) % 0.38/0.70 (step-pop @p547 :rule scope :premises (@p546)) % 0.38/0.70 (step @p283 :rule process_scope :premises (@p547) :args (@t171)) % 0.38/0.70 (step @p289 :rule and_intro :premises (@p264 @p535 @p187 @p536 @p188)) % 0.38/0.70 (step @p290 :rule modus_ponens :premises (@p289 @p283)) % 0.38/0.70 (step-pop @p548 :rule scope :premises (@p290)) % 0.38/0.70 (step-pop @p549 :rule scope :premises (@p548)) % 0.38/0.70 (step-pop @p550 :rule scope :premises (@p549)) % 0.38/0.70 (step-pop @p551 :rule scope :premises (@p550)) % 0.38/0.70 (step-pop @p552 :rule scope :premises (@p551)) % 0.38/0.70 (step @p291 :rule process_scope :premises (@p552) :args (@t171)) % 0.38/0.70 (step @p297 :rule implies_elim :premises (@p291)) % 0.38/0.70 (step @p298 :rule cnf_and_neg :args (@t183)) % 0.38/0.70 (step @p299 :rule resolution :premises (@p298 @p297) :args (true @t183)) % 0.38/0.70 (step @p300 :rule reordering :premises (@p299) :args ((or @t171 (not @t177) @t184 @t174 (not @t150) @t173))) % 0.38/0.70 (step @p301 :rule refl :args (@t150)) % 0.38/0.70 (step @p302 :rule eq-symm :args (@t155 tptp.sk3)) % 0.38/0.70 (step @p303 :rule nary_cong :premises (@p302 @p301) :args (@t157)) % 0.38/0.70 (step @p304 :rule eq_resolve :premises (@p193 @p303)) % 0.38/0.70 (step @p305 :rule reordering :premises (@p304) :args ((or @t150 @t185))) % 0.38/0.70 (step @p306 :rule instantiate :premises (@p71) :args (@t186)) % 0.38/0.70 (step @p307 :rule chain_m_resolution :premises (@p300 @p188 @p187 @p264 @p203 @p241 @p188 @p1 @p190 @p189) :args (@t151 (@list false false false true false false false false false) (@list @t149 @t148 @t177 @t171 @t169 @t149 @t1 @t152 @t150))) % 0.38/0.70 (step @p308 :rule cnf_or_pos :args (@t190)) % 0.38/0.70 (step @p309 :rule reordering :premises (@p308) :args ((or @t187 @t189 (not @t190)))) % 0.38/0.70 (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p306) :args (@t189 @t191 (@list @t151 @t190))) % 0.38/0.70 (step @p311 :rule aci_norm :args ((= (or false @t107 @t72 @t72 @t192) (or @t107 @t72 @t192)))) % 0.38/0.70 (step @p312 :rule refl :args (@t192)) % 0.38/0.70 (step @p313 :rule refl :args (@t72)) % 0.38/0.70 (step @p314 :rule refl :args (@t107)) % 0.38/0.70 (step @p315 :rule eq-refl :args (@t41)) % 0.38/0.70 (step @p316 :rule cong :premises (@p315) :args (@t193)) % 0.38/0.70 (step @p317 :rule trans :premises (@p316 @p245)) % 0.38/0.70 (step @p318 :rule nary_cong :premises (@p317 @p314 @p313 @p313 @p312) :args (@t194)) % 0.38/0.70 (step @p319 :rule trans :premises (@p318 @p311)) % 0.38/0.70 (step @p320 :rule cong :premises (@p319) :args ((forall @t195 @t194))) % 0.38/0.70 (step @p321 :rule quant-var-elim-eq :args ((= (forall @t5 @t196) @t194))) % 0.38/0.70 (step @p322 :rule aci_norm :args ((= @t112 @t196))) % 0.38/0.70 (step @p323 :rule cong :premises (@p322) :args (@t197)) % 0.38/0.70 (step @p324 :rule trans :premises (@p323 @p321)) % 0.38/0.70 (step @p325 :rule cong :premises (@p324) :args (@t198)) % 0.38/0.70 (step @p326 :rule quant-merge-prenex :args ((= @t198 @t199))) % 0.38/0.70 (step @p327 :rule symm :premises (@p326)) % 0.38/0.70 (step @p328 :rule quant_var_reordering :args ((= @t113 @t199))) % 0.38/0.70 (step @p329 :rule trans :premises (@p328 @p327 @p325)) % 0.38/0.70 (step @p330 :rule trans :premises (@p329 @p320)) % 0.38/0.70 (step @p331 :rule eq_resolve :premises (@p135 @p330)) % 0.38/0.70 (step @p332 :rule instantiate :premises (@p331) :args ((@list tptp.sk5 tptp.nil))) % 0.38/0.70 (step @p333 :rule cnf_or_pos :args (@t201)) % 0.38/0.70 (step @p334 :rule reordering :premises (@p333) :args ((or @t178 @t187 @t200 (not @t201)))) % 0.38/0.70 (step @p335 :rule chain_m_resolution :premises (@p334 @p8 @p307 @p332) :args (@t200 @t202 (@list @t2 @t151 @t201))) % 0.38/0.70 (step @p336 :rule refl :args (@t203)) % 0.38/0.70 (step @p337 :rule bool-double-not-elim :args (@t188)) % 0.38/0.70 (step @p338 :rule refl :args (@t204)) % 0.38/0.70 (step @p339 :rule nary_cong :premises (@p205 @p338 @p337 @p336) :args ((or @t173 @t204 (not @t189) @t203))) % 0.38/0.70 (assume-push @p553 @t189) % 0.38/0.70 (assume-push @p554 @t152) % 0.38/0.70 (assume-push @p555 @t185) % 0.38/0.70 (assume-push @p556 @t200) % 0.38/0.70 (step @p344 :rule evaluate :args ((= true false))) % 0.38/0.70 (step @p345 :rule false_intro :premises (@p553)) % 0.38/0.70 (step @p346 :rule refl :args (tptp.sk5)) % 0.38/0.70 (step @p347 :rule symm :premises (@p554)) % 0.38/0.70 (step @p348 :rule symm :premises (@p555)) % 0.38/0.70 (step @p349 :rule trans :premises (@p348 @p347)) % 0.38/0.70 (step @p350 :rule cong :premises (@p349 @p346) :args (@t200)) % 0.38/0.70 (step @p351 :rule true_intro :premises (@p556)) % 0.38/0.70 (step @p352 :rule symm :premises (@p351)) % 0.38/0.70 (step @p353 :rule trans :premises (@p352 @p350 @p345)) % 0.38/0.70 (step @p354 false :rule eq_resolve :premises (@p353 @p344)) % 0.38/0.70 (step-pop @p557 :rule scope :premises (@p354)) % 0.38/0.70 (step-pop @p558 :rule scope :premises (@p557)) % 0.38/0.70 (step-pop @p559 :rule scope :premises (@p558)) % 0.38/0.70 (step-pop @p560 :rule scope :premises (@p559)) % 0.38/0.70 (step @p355 :rule process_scope :premises (@p560) :args (false)) % 0.38/0.70 (assume-push @p561 @t152) % 0.38/0.70 (assume-push @p562 @t185) % 0.38/0.70 (assume-push @p563 @t189) % 0.38/0.70 (assume-push @p564 @t200) % 0.38/0.70 (step @p364 :rule and_intro :premises (@p563 @p561 @p562 @p564)) % 0.38/0.70 (step-pop @p565 :rule scope :premises (@p364)) % 0.38/0.70 (step-pop @p566 :rule scope :premises (@p565)) % 0.38/0.70 (step-pop @p567 :rule scope :premises (@p566)) % 0.38/0.70 (step-pop @p568 :rule scope :premises (@p567)) % 0.38/0.70 (step @p365 :rule process_scope :premises (@p568) :args (@t205)) % 0.38/0.70 (step @p370 :rule implies_elim :premises (@p365)) % 0.38/0.70 (step @p371 :rule resolution :premises (@p370 @p355) :args (true @t205)) % 0.38/0.70 (step @p372 :rule not_and :premises (@p371)) % 0.38/0.70 (step @p373 :rule eq_resolve :premises (@p372 @p339)) % 0.38/0.70 (step @p374 :rule chain_m_resolution :premises (@p373 @p335 @p310 @p305 @p300 @p188 @p187 @p264 @p203 @p241 @p188 @p1) :args (@t173 (@list false true false true false false false true false false false) (@list @t200 @t188 @t185 @t150 @t149 @t148 @t177 @t171 @t169 @t149 @t1))) % 0.38/0.70 (step @p375 :rule refl :args (@t152)) % 0.38/0.70 (step @p376 :rule eq-symm :args (@t158 tptp.sk4)) % 0.38/0.70 (step @p377 :rule nary_cong :premises (@p376 @p375) :args (@t168)) % 0.38/0.70 (step @p378 :rule eq_resolve :premises (@p200 @p377)) % 0.38/0.70 (step @p379 :rule reordering :premises (@p378) :args ((or @t152 @t206))) % 0.38/0.70 (step @p380 :rule chain_m_resolution :premises (@p379 @p374) :args (@t206 @t207 @t208)) % 0.38/0.70 (step @p381 :rule instantiate :premises (@p64) :args (@t186)) % 0.38/0.70 (step @p382 :rule cnf_or_pos :args (@t210)) % 0.38/0.70 (step @p383 :rule reordering :premises (@p382) :args ((or @t187 @t209 (not @t210)))) % 0.38/0.70 (step @p384 :rule chain_m_resolution :premises (@p383 @p307 @p381) :args (@t209 @t191 (@list @t151 @t210))) % 0.38/0.70 (step @p385 :rule nary_cong :premises (@p302 @p375) :args (@t167)) % 0.38/0.70 (step @p386 :rule eq_resolve :premises (@p199 @p385)) % 0.38/0.70 (step @p387 :rule reordering :premises (@p386) :args ((or @t152 @t185))) % 0.38/0.70 (step @p388 :rule chain_m_resolution :premises (@p387 @p374) :args (@t185 @t207 @t208)) % 0.38/0.70 (assume-push @p569 @t149) % 0.38/0.70 (assume-push @p570 @t185) % 0.38/0.70 (assume-push @p571 @t209) % 0.38/0.70 (assume-push @p572 @t209) % 0.38/0.70 (assume-push @p573 @t185) % 0.38/0.70 (assume-push @p574 @t149) % 0.38/0.70 (step @p395 :rule true_intro :premises (@p571)) % 0.38/0.70 (step @p396 :rule trans :premises (@p188 @p570)) % 0.38/0.70 (step @p397 :rule cong :premises (@p396) :args (@t169)) % 0.38/0.70 (step @p398 :rule trans :premises (@p397 @p395)) % 0.38/0.70 (step @p399 :rule true_elim :premises (@p398)) % 0.38/0.70 (step-pop @p575 :rule scope :premises (@p399)) % 0.38/0.70 (step-pop @p576 :rule scope :premises (@p575)) % 0.38/0.70 (step-pop @p577 :rule scope :premises (@p576)) % 0.38/0.70 (step @p400 :rule process_scope :premises (@p577) :args (@t169)) % 0.38/0.70 (step @p404 :rule and_intro :premises (@p571 @p570 @p188)) % 0.38/0.70 (step @p405 :rule modus_ponens :premises (@p404 @p400)) % 0.38/0.70 (step-pop @p578 :rule scope :premises (@p405)) % 0.38/0.70 (step-pop @p579 :rule scope :premises (@p578)) % 0.38/0.70 (step-pop @p580 :rule scope :premises (@p579)) % 0.38/0.70 (step @p406 :rule process_scope :premises (@p580) :args (@t169)) % 0.38/0.70 (step @p410 :rule implies_elim :premises (@p406)) % 0.38/0.70 (step @p411 :rule cnf_and_neg :args (@t211)) % 0.38/0.70 (step @p412 :rule resolution :premises (@p411 @p410) :args (true @t211)) % 0.38/0.70 (step @p413 :rule reordering :premises (@p412) :args ((or @t169 @t174 @t204 (not @t209)))) % 0.38/0.70 (step @p414 :rule chain_m_resolution :premises (@p413 @p188 @p388 @p384) :args (@t169 @t202 (@list @t149 @t185 @t209))) % 0.38/0.70 (step @p415 :rule chain_m_resolution :premises (@p203 @p414) :args (@t172 @t182 (@list @t169))) % 0.38/0.70 (step @p416 :rule aci_norm :args ((= (or false @t107 @t48 @t62 @t213 @t212) (or @t107 @t48 @t62 @t213 @t212)))) % 0.38/0.70 (step @p417 :rule refl :args (@t212)) % 0.38/0.70 (step @p418 :rule refl :args (@t213)) % 0.38/0.70 (step @p419 :rule refl :args (@t62)) % 0.38/0.70 (step @p420 :rule refl :args (@t48)) % 0.38/0.70 (step @p421 :rule eq-refl :args (@t130)) % 0.38/0.70 (step @p422 :rule cong :premises (@p421) :args (@t214)) % 0.38/0.70 (step @p423 :rule trans :premises (@p422 @p245)) % 0.38/0.70 (step @p424 :rule nary_cong :premises (@p423 @p314 @p420 @p419 @p418 @p417) :args (@t215)) % 0.38/0.70 (step @p425 :rule trans :premises (@p424 @p416)) % 0.38/0.70 (step @p426 :rule cong :premises (@p425) :args ((forall @t108 @t215))) % 0.38/0.70 (step @p427 :rule quant-var-elim-eq :args ((= (forall @t218 @t217) @t215))) % 0.38/0.70 (step @p428 :rule aci_norm :args ((= @t219 @t217))) % 0.38/0.70 (step @p429 :rule cong :premises (@p428) :args (@t220)) % 0.38/0.70 (step @p430 :rule trans :premises (@p429 @p427)) % 0.38/0.70 (step @p431 :rule cong :premises (@p430) :args (@t221)) % 0.38/0.70 (step @p432 :rule quant-merge-prenex :args ((= @t221 (forall @t128 @t219)))) % 0.38/0.70 (step @p433 :rule symm :premises (@p432)) % 0.38/0.70 (step @p434 :rule trans :premises (@p433 @p431)) % 0.38/0.70 (step @p435 :rule trans :premises (@p434 @p426)) % 0.38/0.70 (step @p436 :rule refl :args (@t129)) % 0.38/0.70 (step @p437 :rule refl :args (@t125)) % 0.38/0.70 (step @p438 :rule eq-symm :args (@t130 @t124)) % 0.38/0.70 (step @p439 :rule cong :premises (@p438) :args (@t131)) % 0.38/0.70 (step @p440 :rule nary_cong :premises (@p439 @p314 @p420 @p419 @p437 @p436) :args (@t132)) % 0.38/0.70 (step @p441 :rule cong :premises (@p440) :args (@t133)) % 0.38/0.70 (step @p442 :rule trans :premises (@p441 @p435)) % 0.38/0.70 (step @p443 :rule eq_resolve :premises (@p170 @p442)) % 0.38/0.70 (step @p444 :rule instantiate :premises (@p443) :args ((@list tptp.sk6 tptp.sk3 tptp.sk7))) % 0.38/0.70 (assume-push @p581 @t146) % 0.38/0.70 (assume-push @p582 @t148) % 0.38/0.70 (assume-push @p583 @t206) % 0.38/0.70 (assume-push @p584 @t146) % 0.38/0.70 (assume-push @p585 @t148) % 0.38/0.70 (assume-push @p586 @t206) % 0.38/0.70 (step @p451 :rule true_intro :premises (@p184)) % 0.38/0.70 (step @p452 :rule symm :premises (@p187)) % 0.38/0.70 (step @p453 :rule symm :premises (@p583)) % 0.38/0.70 (step @p454 :rule trans :premises (@p453 @p452)) % 0.38/0.70 (step @p455 :rule cong :premises (@p454) :args (@t222)) % 0.38/0.70 (step @p456 :rule trans :premises (@p455 @p451)) % 0.38/0.70 (step @p457 :rule true_elim :premises (@p456)) % 0.38/0.70 (step-pop @p587 :rule scope :premises (@p457)) % 0.38/0.70 (step-pop @p588 :rule scope :premises (@p587)) % 0.38/0.70 (step-pop @p589 :rule scope :premises (@p588)) % 0.38/0.70 (step @p458 :rule process_scope :premises (@p589) :args (@t222)) % 0.38/0.70 (step @p462 :rule and_intro :premises (@p184 @p187 @p583)) % 0.38/0.70 (step @p463 :rule modus_ponens :premises (@p462 @p458)) % 0.38/0.70 (step-pop @p590 :rule scope :premises (@p463)) % 0.38/0.70 (step-pop @p591 :rule scope :premises (@p590)) % 0.38/0.70 (step-pop @p592 :rule scope :premises (@p591)) % 0.38/0.70 (step @p464 :rule process_scope :premises (@p592) :args (@t222)) % 0.38/0.70 (step @p468 :rule implies_elim :premises (@p464)) % 0.38/0.70 (step @p469 :rule cnf_and_neg :args (@t223)) % 0.38/0.70 (step @p470 :rule resolution :premises (@p469 @p468) :args (true @t223)) % 0.38/0.70 (step @p471 :rule chain_m_resolution :premises (@p470 @p184 @p187 @p380) :args (@t222 @t202 (@list @t146 @t148 @t206))) % 0.38/0.70 (step @p472 :rule reordering :premises (@p198) :args ((or @t152 @t154))) % 0.38/0.70 (step @p473 :rule chain_m_resolution :premises (@p472 @p374) :args (@t154 @t207 @t208)) % 0.38/0.70 (step @p474 :rule reordering :premises (@p197) :args ((or @t152 @t153))) % 0.38/0.70 (step @p475 :rule chain_m_resolution :premises (@p474 @p374) :args (@t153 @t207 @t208)) % 0.38/0.70 (step @p476 :rule cnf_or_pos :args (@t229)) % 0.38/0.70 (step @p477 :rule reordering :premises (@p476) :args ((or @t226 @t227 @t228 @t225 @t224 (not @t229)))) % 0.38/0.70 (step @p478 :rule chain_m_resolution :premises (@p477 @p185 @p475 @p473 @p471 @p444) :args (@t224 (@list false false false false false) (@list @t147 @t153 @t154 @t222 @t229))) % 0.38/0.70 (step @p479 :rule refl :args (@t230)) % 0.38/0.70 (step @p480 :rule refl :args (@t231)) % 0.38/0.70 (step @p481 :rule bool-double-not-elim :args (@t171)) % 0.38/0.70 (step @p482 :rule refl :args (@t184)) % 0.38/0.70 (step @p483 :rule nary_cong :premises (@p482 @p206 @p481 @p480 @p479) :args ((or @t184 @t174 (not @t172) @t231 @t230))) % 0.38/0.70 (assume-push @p593 @t148) % 0.38/0.70 (assume-push @p594 @t149) % 0.38/0.70 (assume-push @p595 @t172) % 0.38/0.70 (assume-push @p596 @t206) % 0.38/0.70 (assume-push @p597 @t172) % 0.38/0.70 (assume-push @p598 @t148) % 0.38/0.70 (assume-push @p599 @t206) % 0.38/0.70 (assume-push @p600 @t149) % 0.38/0.70 (step @p492 :rule false_intro :premises (@p595)) % 0.38/0.70 (step @p493 :rule symm :premises (@p188)) % 0.38/0.70 (step @p452 :rule symm :premises (@p187)) % 0.38/0.70 (step @p494 :rule symm :premises (@p596)) % 0.38/0.70 (step @p495 :rule trans :premises (@p494 @p452)) % 0.38/0.70 (step @p496 :rule cong :premises (@p495 @p493) :args (@t224)) % 0.38/0.70 (step @p497 :rule trans :premises (@p496 @p492)) % 0.38/0.70 (step @p498 :rule false_elim :premises (@p497)) % 0.38/0.70 (step-pop @p601 :rule scope :premises (@p498)) % 0.38/0.70 (step-pop @p602 :rule scope :premises (@p601)) % 0.38/0.70 (step-pop @p603 :rule scope :premises (@p602)) % 0.38/0.70 (step-pop @p604 :rule scope :premises (@p603)) % 0.38/0.70 (step @p499 :rule process_scope :premises (@p604) :args (@t230)) % 0.38/0.70 (step @p504 :rule and_intro :premises (@p595 @p187 @p596 @p188)) % 0.38/0.70 (step @p505 :rule modus_ponens :premises (@p504 @p499)) % 0.38/0.70 (step-pop @p605 :rule scope :premises (@p505)) % 0.38/0.70 (step-pop @p606 :rule scope :premises (@p605)) % 0.38/0.70 (step-pop @p607 :rule scope :premises (@p606)) % 0.38/0.70 (step-pop @p608 :rule scope :premises (@p607)) % 0.38/0.70 (step @p506 :rule process_scope :premises (@p608) :args (@t230)) % 0.38/0.70 (step @p511 :rule implies_elim :premises (@p506)) % 0.38/0.70 (step @p512 :rule cnf_and_neg :args (@t232)) % 0.38/0.70 (step @p513 :rule resolution :premises (@p512 @p511) :args (true @t232)) % 0.38/0.70 (step @p514 :rule eq_resolve :premises (@p513 @p483)) % 0.38/0.70 (step @p515 :rule reordering :premises (@p514) :args ((or @t171 @t184 @t174 @t231 @t230))) % 0.38/0.70 (step @p516 false :rule chain_m_resolution :premises (@p515 @p478 @p415 @p380 @p188 @p187) :args (false (@list false true false false false) (@list @t224 @t171 @t206 @t149 @t148))) % 0.38/0.70 ) % 0.38/0.70 % SZS output end Proof % 0.38/0.70 % cvc5 exiting %------------------------------------------------------------------------------