%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC109-1 : 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 08:58:05 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.68s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC109-1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:15:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.53 %----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... % 0.37/0.68 % SZS status Unsatisfiable % 0.37/0.68 % SZS output start Proof % 0.37/0.69 ( % 0.37/0.69 (declare-sort $$unsorted 0) % 0.37/0.69 (declare-const tptp.sk7 $$unsorted) % 0.37/0.69 (declare-const tptp.sk5 $$unsorted) % 0.37/0.69 (declare-const tptp.sk4 $$unsorted) % 0.37/0.69 (declare-const tptp.sk2 $$unsorted) % 0.37/0.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.nil $$unsorted) % 0.37/0.69 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.sk1 $$unsorted) % 0.37/0.69 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skac2 $$unsorted) % 0.37/0.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.sk3 $$unsorted) % 0.37/0.69 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.sk6 $$unsorted) % 0.37/0.69 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skac3 $$unsorted) % 0.37/0.69 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (define @t1 () (tptp.ssList tptp.nil)) % 0.37/0.69 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.69 (define @t3 () (tptp.skaf83 @t2)) % 0.37/0.69 (define @t4 () (@list @t2)) % 0.37/0.69 (define @t5 () (tptp.skaf82 @t2)) % 0.37/0.69 (define @t6 () (tptp.skaf81 @t2)) % 0.37/0.69 (define @t7 () (tptp.skaf80 @t2)) % 0.37/0.69 (define @t8 () (tptp.skaf79 @t2)) % 0.37/0.69 (define @t9 () (tptp.skaf78 @t2)) % 0.37/0.69 (define @t10 () (tptp.skaf77 @t2)) % 0.37/0.69 (define @t11 () (tptp.skaf76 @t2)) % 0.37/0.69 (define @t12 () (tptp.skaf75 @t2)) % 0.37/0.69 (define @t13 () (tptp.skaf74 @t2)) % 0.37/0.69 (define @t14 () (tptp.skaf73 @t2)) % 0.37/0.69 (define @t15 () (tptp.skaf72 @t2)) % 0.37/0.69 (define @t16 () (tptp.skaf71 @t2)) % 0.37/0.69 (define @t17 () (tptp.skaf70 @t2)) % 0.37/0.69 (define @t18 () (tptp.skaf69 @t2)) % 0.37/0.69 (define @t19 () (tptp.skaf68 @t2)) % 0.37/0.69 (define @t20 () (tptp.skaf67 @t2)) % 0.37/0.69 (define @t21 () (tptp.skaf66 @t2)) % 0.37/0.69 (define @t22 () (tptp.skaf65 @t2)) % 0.37/0.69 (define @t23 () (tptp.skaf64 @t2)) % 0.37/0.69 (define @t24 () (tptp.skaf63 @t2)) % 0.37/0.69 (define @t25 () (tptp.skaf62 @t2)) % 0.37/0.69 (define @t26 () (tptp.skaf61 @t2)) % 0.37/0.69 (define @t27 () (tptp.skaf60 @t2)) % 0.37/0.69 (define @t28 () (tptp.skaf59 @t2)) % 0.37/0.69 (define @t29 () (tptp.skaf58 @t2)) % 0.37/0.69 (define @t30 () (tptp.skaf57 @t2)) % 0.37/0.69 (define @t31 () (tptp.skaf56 @t2)) % 0.37/0.69 (define @t32 () (tptp.skaf55 @t2)) % 0.37/0.69 (define @t33 () (tptp.skaf54 @t2)) % 0.37/0.69 (define @t34 () (tptp.skaf53 @t2)) % 0.37/0.69 (define @t35 () (tptp.skaf52 @t2)) % 0.37/0.69 (define @t36 () (tptp.skaf51 @t2)) % 0.37/0.69 (define @t37 () (tptp.skaf50 @t2)) % 0.37/0.69 (define @t38 () (tptp.skaf49 @t2)) % 0.37/0.69 (define @t39 () (tptp.skaf44 @t2)) % 0.37/0.69 (define @t40 () (@var "V" $$unsorted)) % 0.37/0.69 (define @t41 () (@list @t2 @t40)) % 0.37/0.69 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.37/0.69 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.37/0.69 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.37/0.69 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.37/0.69 (define @t46 () (not (tptp.ssItem @t2))) % 0.37/0.69 (define @t47 () (not (tptp.ssList @t2))) % 0.37/0.69 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.37/0.69 (define @t49 () (tptp.ssItem @t40)) % 0.37/0.69 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.37/0.69 (define @t51 () (= tptp.nil @t2)) % 0.37/0.69 (define @t52 () (tptp.tl @t2)) % 0.37/0.69 (define @t53 () (tptp.hd @t2)) % 0.37/0.69 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 0.37/0.69 (define @t55 () (not @t51)) % 0.37/0.69 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 0.37/0.69 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 0.37/0.69 (define @t58 () (tptp.app @t40 @t2)) % 0.37/0.69 (define @t59 () (not (tptp.ssList @t40))) % 0.37/0.69 (define @t60 () (tptp.cons @t2 @t40)) % 0.37/0.69 (define @t61 () (tptp.cyclefreeP @t2)) % 0.37/0.69 (define @t62 () (tptp.equalelemsP @t2)) % 0.37/0.69 (define @t63 () (tptp.strictorderedP @t2)) % 0.37/0.69 (define @t64 () (tptp.totalorderedP @t2)) % 0.37/0.69 (define @t65 () (tptp.strictorderP @t2)) % 0.37/0.69 (define @t66 () (tptp.totalorderP @t2)) % 0.37/0.69 (define @t67 () (= @t40 @t2)) % 0.37/0.69 (define @t68 () (tptp.neq @t40 @t2)) % 0.37/0.69 (define @t69 () (or @t47 @t59 @t68 @t67)) % 0.37/0.69 (define @t70 () (forall @t41 @t69)) % 0.37/0.69 (define @t71 () (not @t49)) % 0.37/0.69 (define @t72 () (tptp.leq @t2 @t40)) % 0.37/0.69 (define @t73 () (tptp.lt @t2 @t40)) % 0.37/0.69 (define @t74 () (not @t73)) % 0.37/0.69 (define @t75 () (tptp.lt @t40 @t2)) % 0.37/0.69 (define @t76 () (not (tptp.gt @t2 @t40))) % 0.37/0.69 (define @t77 () (tptp.gt @t40 @t2)) % 0.37/0.69 (define @t78 () (tptp.leq @t40 @t2)) % 0.37/0.69 (define @t79 () (not (tptp.geq @t2 @t40))) % 0.37/0.69 (define @t80 () (tptp.geq @t40 @t2)) % 0.37/0.69 (define @t81 () (not @t72)) % 0.37/0.69 (define @t82 () (= @t2 @t40)) % 0.37/0.69 (define @t83 () (not @t82)) % 0.37/0.69 (define @t84 () (tptp.cons @t40 @t2)) % 0.37/0.69 (define @t85 () (not (tptp.neq @t2 @t40))) % 0.37/0.69 (define @t86 () (or @t83 @t85 @t59 @t47)) % 0.37/0.69 (define @t87 () (forall @t41 @t86)) % 0.37/0.69 (define @t88 () (tptp.app @t2 @t40)) % 0.37/0.69 (define @t89 () (= @t88 tptp.nil)) % 0.37/0.69 (define @t90 () (not @t89)) % 0.37/0.69 (define @t91 () (or @t90 @t59 @t47 @t51)) % 0.37/0.69 (define @t92 () (forall @t41 @t91)) % 0.37/0.69 (define @t93 () (= tptp.nil @t40)) % 0.37/0.69 (define @t94 () (or @t90 @t59 @t47 @t93)) % 0.37/0.69 (define @t95 () (forall @t41 @t94)) % 0.37/0.69 (define @t96 () (tptp.hd @t40)) % 0.37/0.69 (define @t97 () (tptp.strictorderedP @t40)) % 0.37/0.69 (define @t98 () (tptp.strictorderedP @t60)) % 0.37/0.69 (define @t99 () (not @t98)) % 0.37/0.69 (define @t100 () (tptp.totalorderedP @t40)) % 0.37/0.69 (define @t101 () (tptp.totalorderedP @t60)) % 0.37/0.69 (define @t102 () (not @t101)) % 0.37/0.69 (define @t103 () (not (tptp.segmentP @t2 @t40))) % 0.37/0.69 (define @t104 () (not (tptp.rearsegP @t2 @t40))) % 0.37/0.69 (define @t105 () (not (tptp.frontsegP @t2 @t40))) % 0.37/0.69 (define @t106 () (not @t78)) % 0.37/0.69 (define @t107 () (tptp.tl @t40)) % 0.37/0.69 (define @t108 () (tptp.lt @t2 @t96)) % 0.37/0.69 (define @t109 () (tptp.leq @t2 @t96)) % 0.37/0.69 (define @t110 () (@var "W" $$unsorted)) % 0.37/0.69 (define @t111 () (tptp.app @t110 @t2)) % 0.37/0.69 (define @t112 () (not (tptp.ssList @t110))) % 0.37/0.69 (define @t113 () (@list @t2 @t40 @t110)) % 0.37/0.69 (define @t114 () (tptp.app @t2 @t110)) % 0.37/0.69 (define @t115 () (tptp.cons @t40 @t110)) % 0.37/0.69 (define @t116 () (tptp.memberP @t115 @t2)) % 0.37/0.69 (define @t117 () (or @t83 @t112 @t71 @t46 @t116)) % 0.37/0.69 (define @t118 () (forall @t113 @t117)) % 0.37/0.69 (define @t119 () (tptp.cons @t110 @t2)) % 0.37/0.69 (define @t120 () (not (tptp.ssItem @t110))) % 0.37/0.69 (define @t121 () (not (tptp.memberP @t2 @t40))) % 0.37/0.69 (define @t122 () (not (= @t88 @t110))) % 0.37/0.69 (define @t123 () (tptp.lt @t2 @t110)) % 0.37/0.69 (define @t124 () (not (tptp.lt @t40 @t110))) % 0.37/0.69 (define @t125 () (tptp.app @t110 @t40)) % 0.37/0.69 (define @t126 () (= @t40 @t110)) % 0.37/0.69 (define @t127 () (= @t2 @t110)) % 0.37/0.69 (define @t128 () (tptp.memberP @t40 @t110)) % 0.37/0.69 (define @t129 () (@var "X" $$unsorted)) % 0.37/0.69 (define @t130 () (not (tptp.ssList @t129))) % 0.37/0.69 (define @t131 () (tptp.cons @t110 @t129)) % 0.37/0.69 (define @t132 () (not (= @t60 @t131))) % 0.37/0.69 (define @t133 () (@list @t2 @t40 @t110 @t129)) % 0.37/0.69 (define @t134 () (tptp.segmentP @t129 @t40)) % 0.37/0.69 (define @t135 () (tptp.app @t88 @t110)) % 0.37/0.69 (define @t136 () (not (= @t135 @t129))) % 0.37/0.69 (define @t137 () (or @t136 @t112 @t47 @t59 @t130 @t134)) % 0.37/0.69 (define @t138 () (forall @t133 @t137)) % 0.37/0.69 (define @t139 () (not (tptp.frontsegP @t60 @t131))) % 0.37/0.69 (define @t140 () (tptp.app @t2 @t115)) % 0.37/0.69 (define @t141 () (not (tptp.ssItem @t129))) % 0.37/0.69 (define @t142 () (@var "Y" $$unsorted)) % 0.37/0.69 (define @t143 () (not (tptp.ssList @t142))) % 0.37/0.69 (define @t144 () (@list @t2 @t40 @t110 @t129 @t142)) % 0.37/0.69 (define @t145 () (tptp.lt @t40 @t129)) % 0.37/0.69 (define @t146 () (@var "Z" $$unsorted)) % 0.37/0.69 (define @t147 () (not (tptp.ssList @t146))) % 0.37/0.69 (define @t148 () (not (= (tptp.app @t140 (tptp.cons @t129 @t142)) @t146))) % 0.37/0.69 (define @t149 () (@list @t2 @t40 @t110 @t129 @t142 @t146)) % 0.37/0.69 (define @t150 () (tptp.leq @t40 @t129)) % 0.37/0.69 (define @t151 () (tptp.ssList tptp.sk1)) % 0.37/0.69 (define @t152 () (tptp.ssList tptp.sk2)) % 0.37/0.69 (define @t153 () (tptp.ssList tptp.sk3)) % 0.37/0.69 (define @t154 () (= tptp.sk2 tptp.sk4)) % 0.37/0.69 (define @t155 () (= tptp.sk1 tptp.sk3)) % 0.37/0.69 (define @t156 () (= tptp.nil tptp.sk4)) % 0.37/0.69 (define @t157 () (tptp.ssItem tptp.sk5)) % 0.37/0.69 (define @t158 () (= tptp.nil tptp.sk3)) % 0.37/0.69 (define @t159 () (tptp.ssList tptp.sk6)) % 0.37/0.69 (define @t160 () (tptp.ssList tptp.sk7)) % 0.37/0.69 (define @t161 () (tptp.cons tptp.sk5 tptp.nil)) % 0.37/0.69 (define @t162 () (= @t161 tptp.sk3)) % 0.37/0.69 (define @t163 () (or @t162 @t156)) % 0.37/0.69 (define @t164 () (tptp.app tptp.sk6 tptp.sk3)) % 0.37/0.69 (define @t165 () (tptp.app @t164 tptp.sk7)) % 0.37/0.69 (define @t166 () (= @t165 tptp.sk4)) % 0.37/0.69 (define @t167 () (@var "A" $$unsorted)) % 0.37/0.69 (define @t168 () (not (tptp.lt tptp.sk5 @t167))) % 0.37/0.69 (define @t169 () (not (tptp.memberP tptp.sk6 @t167))) % 0.37/0.69 (define @t170 () (not (tptp.ssItem @t167))) % 0.37/0.69 (define @t171 () (@list @t167)) % 0.37/0.69 (define @t172 () (not (tptp.lt @t167 tptp.sk5))) % 0.37/0.69 (define @t173 () (not (tptp.memberP tptp.sk7 @t167))) % 0.37/0.69 (define @t174 () (or @t166 @t158)) % 0.37/0.69 (define @t175 () (tptp.neq tptp.sk2 tptp.nil)) % 0.37/0.69 (define @t176 () (= tptp.nil tptp.sk2)) % 0.37/0.69 (define @t177 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 0.37/0.69 (define @t178 () (not @t177)) % 0.37/0.69 (define @t179 () (tptp.neq tptp.sk1 tptp.nil)) % 0.37/0.69 (define @t180 () (not @t179)) % 0.37/0.69 (define @t181 () (= tptp.nil tptp.sk1)) % 0.37/0.69 (define @t182 () (not @t181)) % 0.37/0.69 (define @t183 () (and @t155 @t181)) % 0.37/0.69 (define @t184 () (not @t155)) % 0.37/0.69 (define @t185 () (not (tptp.neq @t40 @t40))) % 0.37/0.70 (define @t186 () (not (= @t40 @t40))) % 0.37/0.70 (define @t187 () (or @t186 @t185 @t59 @t59)) % 0.37/0.70 (define @t188 () (@list @t40)) % 0.37/0.70 (define @t189 () (or @t83 @t83 @t85 @t59 @t47)) % 0.37/0.70 (define @t190 () (forall @t4 @t86)) % 0.37/0.70 (define @t191 () (forall @t188 @t190)) % 0.37/0.70 (define @t192 () (forall (@list @t40 @t2) @t86)) % 0.37/0.70 (define @t193 () (not @t151)) % 0.37/0.70 (define @t194 () (tptp.neq tptp.sk1 tptp.sk1)) % 0.37/0.70 (define @t195 () (not @t194)) % 0.37/0.70 (define @t196 () (or @t195 @t193)) % 0.37/0.70 (define @t197 () (@list false false)) % 0.37/0.70 (define @t198 () (not @t175)) % 0.37/0.70 (define @t199 () (not @t158)) % 0.37/0.70 (define @t200 () (not @t156)) % 0.37/0.70 (define @t201 () (not @t154)) % 0.37/0.70 (define @t202 () (and @t154 @t155 @t156 @t158 @t195)) % 0.37/0.70 (define @t203 () (= tptp.sk3 @t161)) % 0.37/0.70 (define @t204 () (and @t155 @t158)) % 0.37/0.70 (define @t205 () (not @t157)) % 0.37/0.70 (define @t206 () (tptp.memberP tptp.nil tptp.sk5)) % 0.37/0.70 (define @t207 () (not @t206)) % 0.37/0.70 (define @t208 () (or @t207 @t205)) % 0.37/0.70 (define @t209 () (tptp.memberP @t115 @t40)) % 0.37/0.70 (define @t210 () (or @t186 @t112 @t71 @t71 @t209)) % 0.37/0.70 (define @t211 () (@list @t40 @t110)) % 0.37/0.70 (define @t212 () (or @t83 @t83 @t112 @t71 @t46 @t116)) % 0.37/0.70 (define @t213 () (forall @t4 @t117)) % 0.37/0.70 (define @t214 () (forall @t211 @t213)) % 0.37/0.70 (define @t215 () (forall (@list @t40 @t110 @t2) @t117)) % 0.37/0.70 (define @t216 () (tptp.memberP @t161 tptp.sk5)) % 0.37/0.70 (define @t217 () (not @t1)) % 0.37/0.70 (define @t218 () (or @t217 @t205 @t216)) % 0.37/0.70 (define @t219 () (@list false false false)) % 0.37/0.70 (define @t220 () (not @t216)) % 0.37/0.70 (define @t221 () (not @t203)) % 0.37/0.70 (define @t222 () (and @t207 @t181 @t155 @t203 @t216)) % 0.37/0.70 (define @t223 () (@list true false)) % 0.37/0.70 (define @t224 () (= tptp.sk4 @t165)) % 0.37/0.70 (define @t225 () (@list true)) % 0.37/0.70 (define @t226 () (@list @t158)) % 0.37/0.70 (define @t227 () (or @t217 @t193 @t179 @t181)) % 0.37/0.70 (define @t228 () (@list true false false false)) % 0.37/0.70 (define @t229 () (tptp.ssList @t164)) % 0.37/0.70 (define @t230 () (not @t159)) % 0.37/0.70 (define @t231 () (not @t153)) % 0.37/0.70 (define @t232 () (or @t231 @t230 @t229)) % 0.37/0.70 (define @t233 () (= tptp.nil @t164)) % 0.37/0.70 (define @t234 () (not @t233)) % 0.37/0.70 (define @t235 () (or @t234 @t231 @t230 @t158)) % 0.37/0.70 (define @t236 () (not @t229)) % 0.37/0.70 (define @t237 () (not @t160)) % 0.37/0.70 (define @t238 () (= tptp.nil @t165)) % 0.37/0.70 (define @t239 () (not @t238)) % 0.37/0.70 (define @t240 () (or @t239 @t237 @t236 @t233)) % 0.37/0.70 (define @t241 () (not @t176)) % 0.37/0.70 (define @t242 () (not @t224)) % 0.37/0.70 (define @t243 () (and @t154 @t224 @t239)) % 0.37/0.70 (define @t244 () (tptp.segmentP @t135 @t40)) % 0.37/0.70 (define @t245 () (not (tptp.ssList @t135))) % 0.37/0.70 (define @t246 () (not (= @t135 @t135))) % 0.37/0.70 (define @t247 () (or @t246 @t112 @t47 @t59 @t245 @t244)) % 0.37/0.70 (define @t248 () (not (= @t129 @t135))) % 0.37/0.70 (define @t249 () (or @t248 @t248 @t112 @t47 @t59 @t130 @t134)) % 0.37/0.70 (define @t250 () (@list @t129)) % 0.37/0.70 (define @t251 () (or @t248 @t112 @t47 @t59 @t130 @t134)) % 0.37/0.70 (define @t252 () (forall @t250 @t251)) % 0.37/0.70 (define @t253 () (forall @t113 @t252)) % 0.37/0.70 (define @t254 () (tptp.ssList @t165)) % 0.37/0.70 (define @t255 () (and @t152 @t154 @t224)) % 0.37/0.70 (define @t256 () (tptp.segmentP @t165 tptp.sk3)) % 0.37/0.70 (define @t257 () (not @t254)) % 0.37/0.70 (define @t258 () (or @t237 @t230 @t231 @t257 @t256)) % 0.37/0.70 (define @t259 () (not @t256)) % 0.37/0.70 (define @t260 () (and @t154 @t155 @t178 @t224)) % 0.37/0.70 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.37/0.70 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.70 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.37/0.70 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.37/0.70 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.37/0.70 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.37/0.70 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.37/0.70 (assume @p8 @t1) % 0.37/0.70 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.37/0.70 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.37/0.70 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.37/0.70 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.37/0.70 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.37/0.70 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.37/0.70 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.37/0.70 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.37/0.70 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.37/0.70 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.37/0.70 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.37/0.70 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.37/0.70 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.37/0.70 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.37/0.70 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.37/0.70 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.37/0.70 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.37/0.70 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.37/0.70 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.37/0.70 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.37/0.70 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.37/0.70 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.37/0.70 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.37/0.70 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.37/0.70 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.37/0.70 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.37/0.70 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.37/0.70 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.37/0.70 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.37/0.70 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.37/0.70 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.37/0.70 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.37/0.70 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.37/0.70 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.37/0.70 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.37/0.70 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.37/0.70 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.37/0.70 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.37/0.70 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.37/0.70 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.37/0.70 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.37/0.70 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.37/0.70 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.37/0.70 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.37/0.70 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.37/0.70 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.37/0.70 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.37/0.70 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.70 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.37/0.70 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.70 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.37/0.70 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.70 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.37/0.70 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.37/0.70 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.37/0.70 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.37/0.70 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.37/0.70 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.37/0.70 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.37/0.70 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.37/0.70 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.37/0.70 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.37/0.70 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.37/0.70 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.37/0.70 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.70 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.70 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 0.37/0.70 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 0.37/0.70 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 0.37/0.70 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 0.37/0.70 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 0.37/0.70 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 0.37/0.70 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 0.37/0.70 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 0.37/0.70 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 0.37/0.70 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 0.37/0.70 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 0.37/0.70 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 0.37/0.70 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 0.37/0.70 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 0.37/0.70 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 0.37/0.70 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 0.37/0.70 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 0.37/0.70 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 0.37/0.70 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 0.37/0.70 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 0.37/0.70 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 0.37/0.70 (assume @p96 (forall @t41 (or (not (= @t60 tptp.nil)) @t46 @t59))) % 0.37/0.70 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 0.37/0.70 (assume @p98 @t70) % 0.37/0.70 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.37/0.70 (assume @p100 (forall @t41 (or @t46 @t71 @t68 @t67))) % 0.37/0.70 (assume @p101 (forall @t41 (or @t74 @t71 @t46 @t72))) % 0.37/0.70 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 0.37/0.70 (assume @p103 (forall @t41 (or @t76 @t71 @t46 @t75))) % 0.37/0.70 (assume @p104 (forall @t41 (or @t74 @t46 @t71 @t77))) % 0.37/0.70 (assume @p105 (forall @t41 (or @t79 @t71 @t46 @t78))) % 0.37/0.70 (assume @p106 (forall @t41 (or @t81 @t46 @t71 @t80))) % 0.37/0.70 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 0.37/0.70 (assume @p108 (forall @t41 (or @t76 (not @t77) @t46 @t71))) % 0.37/0.70 (assume @p109 (forall @t41 (or @t83 @t74 @t71 @t46))) % 0.37/0.70 (assume @p110 (forall @t41 (or @t55 @t47 @t71 (tptp.strictorderedP @t84)))) % 0.37/0.70 (assume @p111 (forall @t41 (or @t55 @t47 @t71 (tptp.totalorderedP @t84)))) % 0.37/0.70 (assume @p112 (forall @t41 (or @t74 (not @t75) @t46 @t71))) % 0.37/0.70 (assume @p113 @t87) % 0.37/0.70 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 0.37/0.70 (assume @p115 (forall @t41 (or @t83 @t85 @t71 @t46))) % 0.37/0.70 (assume @p116 @t92) % 0.37/0.70 (assume @p117 @t95) % 0.37/0.70 (assume @p118 (forall @t41 (or @t46 @t59 (= (tptp.app @t48 @t40) @t60)))) % 0.37/0.70 (assume @p119 (forall @t41 (or @t81 @t71 @t46 @t73 @t82))) % 0.37/0.70 (assume @p120 (forall @t41 (or @t47 @t59 @t93 (= (tptp.hd @t58) @t96)))) % 0.37/0.70 (assume @p121 (forall @t41 (or @t99 @t59 @t46 @t97 @t93))) % 0.37/0.70 (assume @p122 (forall @t41 (or @t102 @t59 @t46 @t100 @t93))) % 0.37/0.70 (assume @p123 (forall @t41 (or @t79 (not @t80) @t46 @t71 @t67))) % 0.37/0.70 (assume @p124 (forall @t41 (or @t103 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t67))) % 0.37/0.70 (assume @p125 (forall @t41 (or @t104 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t67))) % 0.37/0.70 (assume @p126 (forall @t41 (or @t105 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t67))) % 0.37/0.70 (assume @p127 (forall @t41 (or @t81 @t106 @t46 @t71 @t67))) % 0.37/0.70 (assume @p128 (forall @t41 (or @t104 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.37/0.70 (assume @p129 (forall @t41 (or @t105 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.37/0.70 (assume @p130 (forall @t41 (or @t47 @t59 @t93 (= (tptp.tl @t58) (tptp.app @t107 @t2))))) % 0.37/0.70 (assume @p131 (forall @t41 (or @t99 @t59 @t46 @t108 @t93))) % 0.37/0.70 (assume @p132 (forall @t41 (or @t102 @t59 @t46 @t109 @t93))) % 0.37/0.70 (assume @p133 (forall @t113 (or @t104 @t112 @t59 @t47 (tptp.rearsegP @t111 @t40)))) % 0.37/0.70 (assume @p134 (forall @t113 (or @t105 @t112 @t59 @t47 (tptp.frontsegP @t114 @t40)))) % 0.37/0.70 (assume @p135 @t118) % 0.37/0.70 (assume @p136 (forall @t113 (or @t121 @t47 @t120 @t71 (tptp.memberP @t119 @t40)))) % 0.37/0.70 (assume @p137 (forall @t113 (or @t121 @t112 @t47 @t71 (tptp.memberP @t114 @t40)))) % 0.37/0.70 (assume @p138 (forall @t113 (or @t121 @t47 @t112 @t71 (tptp.memberP @t111 @t40)))) % 0.37/0.70 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.37/0.70 (assume @p140 (forall @t113 (or @t122 @t47 @t59 @t112 (tptp.rearsegP @t110 @t40)))) % 0.37/0.70 (assume @p141 (forall @t113 (or @t122 @t59 @t47 @t112 (tptp.frontsegP @t110 @t2)))) % 0.37/0.70 (assume @p142 (forall @t41 (or @t55 (not @t93) @t59 @t47 @t89))) % 0.37/0.70 (assume @p143 (forall @t113 (or @t76 (not (tptp.gt @t40 @t110)) @t120 @t71 @t46 (tptp.gt @t2 @t110)))) % 0.37/0.70 (assume @p144 (forall @t113 (or @t81 @t124 @t120 @t71 @t46 @t123))) % 0.37/0.70 (assume @p145 (forall @t113 (or @t79 (not (tptp.geq @t40 @t110)) @t120 @t71 @t46 (tptp.geq @t2 @t110)))) % 0.37/0.70 (assume @p146 (forall @t113 (or @t47 @t59 @t112 (= (tptp.app @t125 @t2) (tptp.app @t110 @t58))))) % 0.37/0.70 (assume @p147 (forall @t113 (or (not (= @t88 @t114)) @t59 @t47 @t112 @t126))) % 0.37/0.70 (assume @p148 (forall @t113 (or (not (= @t88 @t125)) @t47 @t59 @t112 @t127))) % 0.37/0.70 (assume @p149 (forall @t113 (or @t103 (not (tptp.segmentP @t40 @t110)) @t112 @t59 @t47 (tptp.segmentP @t2 @t110)))) % 0.37/0.70 (assume @p150 (forall @t113 (or @t104 (not (tptp.rearsegP @t40 @t110)) @t112 @t59 @t47 (tptp.rearsegP @t2 @t110)))) % 0.37/0.70 (assume @p151 (forall @t113 (or @t105 (not (tptp.frontsegP @t40 @t110)) @t112 @t59 @t47 (tptp.frontsegP @t2 @t110)))) % 0.37/0.70 (assume @p152 (forall @t113 (or @t74 @t124 @t120 @t71 @t46 @t123))) % 0.37/0.70 (assume @p153 (forall @t113 (or @t81 (not (tptp.leq @t40 @t110)) @t120 @t71 @t46 (tptp.leq @t2 @t110)))) % 0.37/0.70 (assume @p154 (forall @t113 (or @t46 @t59 @t112 (= (tptp.cons @t2 (tptp.app @t40 @t110)) (tptp.app @t60 @t110))))) % 0.37/0.70 (assume @p155 (forall @t113 (or (not (tptp.memberP @t88 @t110)) @t59 @t47 @t120 @t128 (tptp.memberP @t2 @t110)))) % 0.37/0.70 (assume @p156 (forall @t41 (or (not @t109) (not @t100) @t59 @t46 @t101 @t93))) % 0.37/0.70 (assume @p157 (forall @t41 (or (not @t108) (not @t97) @t59 @t46 @t98 @t93))) % 0.37/0.70 (assume @p158 (forall @t113 (or (not (tptp.memberP @t60 @t110)) @t59 @t46 @t120 @t128 (= @t110 @t2)))) % 0.37/0.70 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.37/0.70 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.37/0.70 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.37/0.70 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.37/0.70 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.37/0.70 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.37/0.70 (assume @p165 (forall @t41 (or @t103 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.37/0.70 (assume @p166 (forall @t41 (or @t121 @t71 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.37/0.70 (assume @p167 (forall @t133 (or @t132 @t120 @t46 @t130 @t59 @t127))) % 0.37/0.70 (assume @p168 (forall @t133 (or @t132 @t120 @t46 @t130 @t59 (= @t129 @t40)))) % 0.37/0.70 (assume @p169 (forall @t133 (or @t103 @t112 @t130 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t129 @t2) @t110) @t40)))) % 0.37/0.70 (assume @p170 @t138) % 0.37/0.70 (assume @p171 (forall @t133 (or @t139 @t130 @t59 @t120 @t46 (tptp.frontsegP @t40 @t129)))) % 0.37/0.70 (assume @p172 (forall @t133 (or (not (= @t140 @t129)) @t112 @t47 @t71 @t130 (tptp.memberP @t129 @t40)))) % 0.37/0.70 (assume @p173 (forall @t133 (or @t139 @t130 @t59 @t120 @t46 @t127))) % 0.37/0.70 (assume @p174 (forall @t41 (or (not (= @t52 @t107)) (not (= @t53 @t96)) @t47 @t59 @t93 @t82 @t51))) % 0.37/0.70 (assume @p175 (forall @t133 (or @t105 (not (= @t110 @t129)) @t59 @t47 @t141 @t120 (tptp.frontsegP @t119 (tptp.cons @t129 @t40))))) % 0.37/0.70 (assume @p176 (forall @t144 (or (not (= (tptp.app @t140 (tptp.cons @t40 @t129)) @t142)) @t130 @t112 @t47 @t71 (not (tptp.duplicatefreeP @t142)) @t143))) % 0.37/0.70 (assume @p177 (forall @t144 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t131)) @t142)) @t130 @t47 @t120 @t71 (not (tptp.equalelemsP @t142)) @t143 @t126))) % 0.37/0.70 (assume @p178 (forall @t149 (or @t148 @t143 @t112 @t47 @t141 @t71 (not (tptp.strictorderedP @t146)) @t147 @t145))) % 0.37/0.70 (assume @p179 (forall @t149 (or @t148 @t143 @t112 @t47 @t141 @t71 (not (tptp.totalorderedP @t146)) @t147 @t150))) % 0.37/0.70 (assume @p180 (forall @t149 (or @t148 @t143 @t112 @t47 @t141 @t71 (not (tptp.strictorderP @t146)) @t147 @t145 (tptp.lt @t129 @t40)))) % 0.37/0.70 (assume @p181 (forall @t149 (or @t148 @t143 @t112 @t47 @t141 @t71 (not (tptp.totalorderP @t146)) @t147 @t150 (tptp.leq @t129 @t40)))) % 0.37/0.70 (assume @p182 (forall @t149 (or @t81 @t106 (not (= (tptp.app (tptp.app @t110 (tptp.cons @t2 @t129)) (tptp.cons @t40 @t142)) @t146)) @t143 @t130 @t112 @t71 @t46 (not (tptp.cyclefreeP @t146)) @t147))) % 0.37/0.70 (assume @p183 @t151) % 0.37/0.70 (assume @p184 @t152) % 0.37/0.70 (assume @p185 @t153) % 0.37/0.70 (assume @p186 (tptp.ssList tptp.sk4)) % 0.37/0.70 (assume @p187 @t154) % 0.37/0.70 (assume @p188 @t155) % 0.37/0.70 (assume @p189 (or @t157 @t156)) % 0.37/0.70 (assume @p190 (or @t157 @t158)) % 0.37/0.70 (assume @p191 (or @t159 @t156)) % 0.37/0.70 (assume @p192 (or @t160 @t156)) % 0.37/0.70 (assume @p193 @t163) % 0.37/0.70 (assume @p194 (or @t166 @t156)) % 0.37/0.70 (assume @p195 (forall @t171 (or @t170 @t169 @t168 @t156))) % 0.37/0.70 (assume @p196 (forall @t171 (or @t170 @t173 @t172 @t156))) % 0.37/0.70 (assume @p197 (or @t159 @t158)) % 0.37/0.70 (assume @p198 (or @t160 @t158)) % 0.37/0.70 (assume @p199 (or @t162 @t158)) % 0.37/0.70 (assume @p200 @t174) % 0.37/0.70 (assume @p201 (forall @t171 (or @t170 @t169 @t168 @t158))) % 0.37/0.70 (assume @p202 (forall @t171 (or @t170 @t173 @t172 @t158))) % 0.37/0.70 (assume @p203 (or @t176 @t175)) % 0.37/0.70 (assume @p204 (or @t176 @t180 @t178)) % 0.37/0.70 (assume @p205 (or @t182 @t175)) % 0.37/0.70 (assume @p206 (or @t182 @t180 @t178)) % 0.37/0.70 (step @p207 :rule reordering :premises (@p205) :args ((or @t175 @t182))) % 0.37/0.70 (assume-push @p558 @t155) % 0.37/0.70 (assume-push @p559 @t181) % 0.37/0.70 (assume-push @p560 @t155) % 0.37/0.70 (assume-push @p561 @t181) % 0.37/0.70 (step @p212 :rule trans :premises (@p559 @p188)) % 0.37/0.70 (step-pop @p562 :rule scope :premises (@p212)) % 0.37/0.70 (step-pop @p563 :rule scope :premises (@p562)) % 0.37/0.70 (step @p213 :rule process_scope :premises (@p563) :args (@t158)) % 0.37/0.70 (step @p216 :rule and_intro :premises (@p188 @p559)) % 0.37/0.70 (step @p217 :rule modus_ponens :premises (@p216 @p213)) % 0.37/0.70 (step-pop @p564 :rule scope :premises (@p217)) % 0.37/0.70 (step-pop @p565 :rule scope :premises (@p564)) % 0.37/0.70 (step @p218 :rule process_scope :premises (@p565) :args (@t158)) % 0.37/0.70 (step @p221 :rule implies_elim :premises (@p218)) % 0.37/0.70 (step @p222 :rule cnf_and_neg :args (@t183)) % 0.37/0.70 (step @p223 :rule resolution :premises (@p222 @p221) :args (true @t183)) % 0.37/0.70 (step @p224 :rule reordering :premises (@p223) :args ((or @t158 @t182 @t184))) % 0.37/0.70 (step @p225 :rule aci_norm :args ((= (or false @t185 @t59 @t59) (or @t185 @t59)))) % 0.37/0.70 (step @p226 :rule refl :args (@t59)) % 0.37/0.70 (step @p227 :rule refl :args (@t185)) % 0.37/0.70 (step @p228 :rule evaluate :args ((not true))) % 0.37/0.70 (step @p229 :rule eq-refl :args (@t40)) % 0.37/0.70 (step @p230 :rule cong :premises (@p229) :args (@t186)) % 0.37/0.70 (step @p231 :rule trans :premises (@p230 @p228)) % 0.37/0.70 (step @p232 :rule nary_cong :premises (@p231 @p227 @p226 @p226) :args (@t187)) % 0.37/0.70 (step @p233 :rule trans :premises (@p232 @p225)) % 0.37/0.70 (step @p234 :rule cong :premises (@p233) :args ((forall @t188 @t187))) % 0.37/0.70 (step @p235 :rule quant-var-elim-eq :args ((= (forall @t4 @t189) @t187))) % 0.37/0.70 (step @p236 :rule aci_norm :args ((= @t86 @t189))) % 0.37/0.70 (step @p237 :rule cong :premises (@p236) :args (@t190)) % 0.37/0.70 (step @p238 :rule trans :premises (@p237 @p235)) % 0.37/0.70 (step @p239 :rule cong :premises (@p238) :args (@t191)) % 0.37/0.70 (step @p240 :rule quant-merge-prenex :args ((= @t191 @t192))) % 0.37/0.70 (step @p241 :rule symm :premises (@p240)) % 0.37/0.70 (step @p242 :rule quant_var_reordering :args ((= @t87 @t192))) % 0.37/0.70 (step @p243 :rule trans :premises (@p242 @p241 @p239)) % 0.37/0.70 (step @p244 :rule trans :premises (@p243 @p234)) % 0.37/0.70 (step @p245 :rule eq_resolve :premises (@p113 @p244)) % 0.37/0.70 (step @p246 :rule instantiate :premises (@p245) :args ((@list tptp.sk1))) % 0.37/0.70 (step @p247 :rule cnf_or_pos :args (@t196)) % 0.37/0.70 (step @p248 :rule reordering :premises (@p247) :args ((or @t193 @t195 (not @t196)))) % 0.37/0.70 (step @p249 :rule chain_m_resolution :premises (@p248 @p183 @p246) :args (@t195 @t197 (@list @t151 @t196))) % 0.37/0.70 (step @p250 :rule refl :args (@t198)) % 0.37/0.70 (step @p251 :rule bool-double-not-elim :args (@t194)) % 0.37/0.70 (step @p252 :rule refl :args (@t199)) % 0.37/0.70 (step @p253 :rule refl :args (@t200)) % 0.37/0.70 (step @p254 :rule refl :args (@t184)) % 0.37/0.70 (step @p255 :rule refl :args (@t201)) % 0.37/0.70 (step @p256 :rule nary_cong :premises (@p255 @p254 @p253 @p252 @p251 @p250) :args ((or @t201 @t184 @t200 @t199 (not @t195) @t198))) % 0.37/0.70 (assume-push @p566 @t154) % 0.37/0.70 (assume-push @p567 @t155) % 0.37/0.70 (assume-push @p568 @t156) % 0.37/0.70 (assume-push @p569 @t158) % 0.37/0.70 (assume-push @p570 @t195) % 0.37/0.70 (assume-push @p571 @t195) % 0.37/0.70 (assume-push @p572 @t155) % 0.37/0.70 (assume-push @p573 @t158) % 0.37/0.70 (assume-push @p574 @t156) % 0.37/0.70 (assume-push @p575 @t154) % 0.37/0.70 (step @p267 :rule false_intro :premises (@p249)) % 0.37/0.70 (step @p268 :rule symm :premises (@p188)) % 0.37/0.70 (step @p269 :rule trans :premises (@p569 @p268)) % 0.37/0.70 (step @p270 :rule refl :args (tptp.sk1)) % 0.37/0.70 (step @p271 :rule cong :premises (@p270 @p269) :args (@t179)) % 0.37/0.70 (step @p272 :rule refl :args (tptp.nil)) % 0.37/0.70 (step @p273 :rule symm :premises (@p568)) % 0.37/0.70 (step @p274 :rule trans :premises (@p187 @p273 @p569 @p268)) % 0.37/0.70 (step @p275 :rule cong :premises (@p274 @p272) :args (@t175)) % 0.37/0.70 (step @p276 :rule trans :premises (@p275 @p271 @p267)) % 0.37/0.70 (step @p277 :rule false_elim :premises (@p276)) % 0.37/0.70 (step-pop @p576 :rule scope :premises (@p277)) % 0.37/0.70 (step-pop @p577 :rule scope :premises (@p576)) % 0.37/0.70 (step-pop @p578 :rule scope :premises (@p577)) % 0.37/0.70 (step-pop @p579 :rule scope :premises (@p578)) % 0.37/0.70 (step-pop @p580 :rule scope :premises (@p579)) % 0.37/0.70 (step @p278 :rule process_scope :premises (@p580) :args (@t198)) % 0.37/0.70 (step @p284 :rule and_intro :premises (@p249 @p188 @p569 @p568 @p187)) % 0.37/0.70 (step @p285 :rule modus_ponens :premises (@p284 @p278)) % 0.37/0.70 (step-pop @p581 :rule scope :premises (@p285)) % 0.37/0.70 (step-pop @p582 :rule scope :premises (@p581)) % 0.37/0.70 (step-pop @p583 :rule scope :premises (@p582)) % 0.37/0.70 (step-pop @p584 :rule scope :premises (@p583)) % 0.37/0.70 (step-pop @p585 :rule scope :premises (@p584)) % 0.37/0.70 (step @p286 :rule process_scope :premises (@p585) :args (@t198)) % 0.37/0.70 (step @p292 :rule implies_elim :premises (@p286)) % 0.37/0.70 (step @p293 :rule cnf_and_neg :args (@t202)) % 0.37/0.70 (step @p294 :rule resolution :premises (@p293 @p292) :args (true @t202)) % 0.37/0.70 (step @p295 :rule eq_resolve :premises (@p294 @p256)) % 0.37/0.70 (step @p296 :rule reordering :premises (@p295) :args ((or @t201 @t184 @t200 @t199 @t198 @t194))) % 0.37/0.70 (step @p297 :rule refl :args (@t156)) % 0.37/0.70 (step @p298 :rule eq-symm :args (@t161 tptp.sk3)) % 0.37/0.70 (step @p299 :rule nary_cong :premises (@p298 @p297) :args (@t163)) % 0.37/0.70 (step @p300 :rule eq_resolve :premises (@p193 @p299)) % 0.37/0.70 (step @p301 :rule reordering :premises (@p300) :args ((or @t156 @t203))) % 0.37/0.70 (step @p302 :rule instantiate :premises (@p71) :args ((@list tptp.sk5))) % 0.37/0.70 (assume-push @p586 @t155) % 0.37/0.70 (assume-push @p587 @t158) % 0.37/0.70 (assume-push @p588 @t155) % 0.37/0.70 (assume-push @p589 @t158) % 0.37/0.70 (step @p268 :rule symm :premises (@p188)) % 0.37/0.70 (step @p307 :rule trans :premises (@p587 @p268)) % 0.37/0.70 (step-pop @p590 :rule scope :premises (@p307)) % 0.37/0.70 (step-pop @p591 :rule scope :premises (@p590)) % 0.37/0.70 (step @p308 :rule process_scope :premises (@p591) :args (@t181)) % 0.37/0.70 (step @p311 :rule and_intro :premises (@p188 @p587)) % 0.37/0.70 (step @p312 :rule modus_ponens :premises (@p311 @p308)) % 0.37/0.70 (step-pop @p592 :rule scope :premises (@p312)) % 0.37/0.70 (step-pop @p593 :rule scope :premises (@p592)) % 0.37/0.70 (step @p313 :rule process_scope :premises (@p593) :args (@t181)) % 0.37/0.70 (step @p316 :rule implies_elim :premises (@p313)) % 0.37/0.70 (step @p317 :rule cnf_and_neg :args (@t204)) % 0.37/0.70 (step @p318 :rule resolution :premises (@p317 @p316) :args (true @t204)) % 0.37/0.70 (step @p319 :rule reordering :premises (@p318) :args ((or @t181 @t184 @t199))) % 0.37/0.70 (step @p320 :rule chain_m_resolution :premises (@p207 @p296 @p249 @p188 @p187 @p319 @p188 @p190 @p189) :args (@t157 (@list true true false false false false false false) (@list @t175 @t194 @t155 @t154 @t181 @t155 @t158 @t156))) % 0.37/0.70 (step @p321 :rule cnf_or_pos :args (@t208)) % 0.37/0.70 (step @p322 :rule reordering :premises (@p321) :args ((or @t205 @t207 (not @t208)))) % 0.37/0.70 (step @p323 :rule chain_m_resolution :premises (@p322 @p320 @p302) :args (@t207 @t197 (@list @t157 @t208))) % 0.37/0.70 (step @p324 :rule aci_norm :args ((= (or false @t112 @t71 @t71 @t209) (or @t112 @t71 @t209)))) % 0.37/0.70 (step @p325 :rule refl :args (@t209)) % 0.37/0.70 (step @p326 :rule refl :args (@t71)) % 0.37/0.70 (step @p327 :rule refl :args (@t112)) % 0.37/0.70 (step @p328 :rule nary_cong :premises (@p231 @p327 @p326 @p326 @p325) :args (@t210)) % 0.37/0.70 (step @p329 :rule trans :premises (@p328 @p324)) % 0.37/0.70 (step @p330 :rule cong :premises (@p329) :args ((forall @t211 @t210))) % 0.37/0.70 (step @p331 :rule quant-var-elim-eq :args ((= (forall @t4 @t212) @t210))) % 0.37/0.70 (step @p332 :rule aci_norm :args ((= @t117 @t212))) % 0.37/0.70 (step @p333 :rule cong :premises (@p332) :args (@t213)) % 0.37/0.70 (step @p334 :rule trans :premises (@p333 @p331)) % 0.37/0.70 (step @p335 :rule cong :premises (@p334) :args (@t214)) % 0.37/0.70 (step @p336 :rule quant-merge-prenex :args ((= @t214 @t215))) % 0.37/0.70 (step @p337 :rule symm :premises (@p336)) % 0.37/0.70 (step @p338 :rule quant_var_reordering :args ((= @t118 @t215))) % 0.37/0.70 (step @p339 :rule trans :premises (@p338 @p337 @p335)) % 0.37/0.70 (step @p340 :rule trans :premises (@p339 @p330)) % 0.37/0.70 (step @p341 :rule eq_resolve :premises (@p135 @p340)) % 0.37/0.70 (step @p342 :rule instantiate :premises (@p341) :args ((@list tptp.sk5 tptp.nil))) % 0.37/0.70 (step @p343 :rule cnf_or_pos :args (@t218)) % 0.37/0.70 (step @p344 :rule reordering :premises (@p343) :args ((or @t217 @t205 @t216 (not @t218)))) % 0.37/0.70 (step @p345 :rule chain_m_resolution :premises (@p344 @p8 @p320 @p342) :args (@t216 @t219 (@list @t1 @t157 @t218))) % 0.37/0.70 (step @p346 :rule refl :args (@t220)) % 0.37/0.70 (step @p347 :rule bool-double-not-elim :args (@t206)) % 0.37/0.70 (step @p348 :rule refl :args (@t221)) % 0.37/0.70 (step @p349 :rule refl :args (@t182)) % 0.37/0.70 (step @p350 :rule nary_cong :premises (@p254 @p349 @p348 @p347 @p346) :args ((or @t184 @t182 @t221 (not @t207) @t220))) % 0.37/0.70 (assume-push @p594 @t207) % 0.37/0.70 (assume-push @p595 @t181) % 0.37/0.70 (assume-push @p596 @t155) % 0.37/0.70 (assume-push @p597 @t203) % 0.37/0.70 (assume-push @p598 @t216) % 0.37/0.70 (step @p356 :rule evaluate :args ((= true false))) % 0.37/0.70 (step @p357 :rule false_intro :premises (@p594)) % 0.37/0.70 (step @p358 :rule refl :args (tptp.sk5)) % 0.37/0.70 (step @p359 :rule symm :premises (@p595)) % 0.37/0.70 (step @p268 :rule symm :premises (@p188)) % 0.37/0.70 (step 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0.37/0.70 (step @p403 :rule eq_resolve :premises (@p98 @p402)) % 0.37/0.70 (step @p404 :rule instantiate :premises (@p403) :args ((@list tptp.nil tptp.sk1))) % 0.37/0.70 (step @p405 :rule cnf_or_pos :args (@t227)) % 0.37/0.70 (step @p406 :rule reordering :premises (@p405) :args ((or @t179 @t181 @t217 @t193 (not @t227)))) % 0.37/0.70 (step @p407 :rule chain_m_resolution :premises (@p406 @p390 @p8 @p183 @p404) :args (@t179 @t228 (@list @t181 @t1 @t151 @t227))) % 0.37/0.70 (step @p408 :rule refl :args (@t51)) % 0.37/0.70 (step @p409 :rule eq-symm :args (@t88 tptp.nil)) % 0.37/0.70 (step @p410 :rule cong :premises (@p409) :args (@t90)) % 0.37/0.70 (step @p411 :rule nary_cong :premises (@p410 @p226 @p400 @p408) :args (@t91)) % 0.37/0.70 (step @p412 :rule cong :premises (@p411) :args (@t92)) % 0.37/0.70 (step @p413 :rule eq_resolve :premises (@p116 @p412)) % 0.37/0.70 (step @p414 :rule instantiate :premises (@p413) :args ((@list @t164 tptp.sk7))) % 0.37/0.70 (step @p415 :rule instantiate 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@t239) @t241))) % 0.37/0.70 (assume-push @p614 @t154) % 0.37/0.70 (assume-push @p615 @t224) % 0.37/0.70 (assume-push @p616 @t239) % 0.37/0.70 (assume-push @p617 @t239) % 0.37/0.70 (assume-push @p618 @t224) % 0.37/0.70 (assume-push @p619 @t154) % 0.37/0.70 (step @p444 :rule false_intro :premises (@p616)) % 0.37/0.70 (step @p445 :rule trans :premises (@p187 @p615)) % 0.37/0.70 (step @p272 :rule refl :args (tptp.nil)) % 0.37/0.70 (step @p446 :rule cong :premises (@p272 @p445) :args (@t176)) % 0.37/0.70 (step @p447 :rule trans :premises (@p446 @p444)) % 0.37/0.70 (step @p448 :rule false_elim :premises (@p447)) % 0.37/0.70 (step-pop @p620 :rule scope :premises (@p448)) % 0.37/0.70 (step-pop @p621 :rule scope :premises (@p620)) % 0.37/0.70 (step-pop @p622 :rule scope :premises (@p621)) % 0.37/0.70 (step @p449 :rule process_scope :premises (@p622) :args (@t241)) % 0.37/0.70 (step @p453 :rule and_intro :premises (@p616 @p615 @p187)) % 0.37/0.70 (step @p454 :rule modus_ponens :premises (@p453 @p449)) % 0.37/0.70 (step-pop @p623 :rule scope :premises (@p454)) % 0.37/0.70 (step-pop @p624 :rule scope :premises (@p623)) % 0.37/0.70 (step-pop @p625 :rule scope :premises (@p624)) % 0.37/0.70 (step @p455 :rule process_scope :premises (@p625) :args (@t241)) % 0.37/0.70 (step @p459 :rule implies_elim :premises (@p455)) % 0.37/0.70 (step @p460 :rule cnf_and_neg :args (@t243)) % 0.37/0.70 (step @p461 :rule resolution :premises (@p460 @p459) :args (true @t243)) % 0.37/0.70 (step @p462 :rule eq_resolve :premises (@p461 @p437)) % 0.37/0.70 (step @p463 :rule reordering :premises (@p462) :args ((or @t201 @t242 @t241 @t238))) % 0.37/0.70 (step @p464 :rule chain_m_resolution :premises (@p463 @p187 @p397 @p433) :args (@t241 (@list false false true) (@list @t154 @t224 @t238))) % 0.37/0.70 (step @p465 :rule chain_m_resolution :premises (@p204 @p464 @p407) :args (@t178 @t223 (@list @t176 @t179))) % 0.37/0.70 (step @p466 :rule aci_norm :args ((= (or false @t112 @t47 @t59 @t245 @t244) (or @t112 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0.37/0.70 (step @p481 :rule symm :premises (@p480)) % 0.37/0.70 (step @p482 :rule trans :premises (@p481 @p479)) % 0.37/0.70 (step @p483 :rule trans :premises (@p482 @p474)) % 0.37/0.70 (step @p484 :rule refl :args (@t134)) % 0.37/0.70 (step @p485 :rule refl :args (@t130)) % 0.37/0.70 (step @p486 :rule eq-symm :args (@t135 @t129)) % 0.37/0.70 (step @p487 :rule cong :premises (@p486) :args (@t136)) % 0.37/0.70 (step @p488 :rule nary_cong :premises (@p487 @p327 @p400 @p226 @p485 @p484) :args (@t137)) % 0.37/0.70 (step @p489 :rule cong :premises (@p488) :args (@t138)) % 0.37/0.70 (step @p490 :rule trans :premises (@p489 @p483)) % 0.37/0.70 (step @p491 :rule eq_resolve :premises (@p170 @p490)) % 0.37/0.70 (step @p492 :rule instantiate :premises (@p491) :args ((@list tptp.sk6 tptp.sk3 tptp.sk7))) % 0.37/0.70 (assume-push @p626 @t152) % 0.37/0.70 (assume-push @p627 @t154) % 0.37/0.70 (assume-push @p628 @t224) % 0.37/0.70 (assume-push @p629 @t152) % 0.37/0.70 (assume-push @p630 @t154) % 0.37/0.70 (assume-push @p631 @t224) % 0.37/0.70 (step @p499 :rule true_intro :premises (@p184)) % 0.37/0.70 (step @p500 :rule symm :premises (@p187)) % 0.37/0.70 (step @p501 :rule symm :premises (@p628)) % 0.37/0.70 (step @p502 :rule trans :premises (@p501 @p500)) % 0.37/0.70 (step @p503 :rule cong :premises (@p502) :args (@t254)) % 0.37/0.70 (step @p504 :rule trans :premises (@p503 @p499)) % 0.37/0.70 (step @p505 :rule true_elim :premises (@p504)) % 0.37/0.70 (step-pop @p632 :rule scope :premises (@p505)) % 0.37/0.70 (step-pop @p633 :rule scope :premises (@p632)) % 0.37/0.70 (step-pop @p634 :rule scope :premises (@p633)) % 0.37/0.70 (step @p506 :rule process_scope :premises (@p634) :args (@t254)) % 0.37/0.70 (step @p510 :rule and_intro :premises (@p184 @p187 @p628)) % 0.37/0.70 (step @p511 :rule modus_ponens :premises (@p510 @p506)) % 0.37/0.70 (step-pop @p635 :rule scope :premises (@p511)) % 0.37/0.70 (step-pop @p636 :rule scope :premises (@p635)) % 0.37/0.70 (step-pop @p637 :rule scope :premises (@p636)) % 0.37/0.70 (step @p512 :rule process_scope :premises (@p637) :args (@t254)) % 0.37/0.70 (step @p516 :rule implies_elim :premises (@p512)) % 0.37/0.70 (step @p517 :rule cnf_and_neg :args (@t255)) % 0.37/0.70 (step @p518 :rule resolution :premises (@p517 @p516) :args (true @t255)) % 0.37/0.70 (step @p519 :rule chain_m_resolution :premises (@p518 @p184 @p187 @p397) :args (@t254 @t219 (@list @t152 @t154 @t224))) % 0.37/0.70 (step @p520 :rule cnf_or_pos :args (@t258)) % 0.37/0.70 (step @p521 :rule reordering :premises (@p520) :args ((or @t231 @t230 @t237 @t257 @t256 (not @t258)))) % 0.37/0.70 (step @p522 :rule chain_m_resolution :premises (@p521 @p185 @p417 @p430 @p519 @p492) :args (@t256 (@list false false false false false) (@list @t153 @t159 @t160 @t254 @t258))) % 0.37/0.70 (step @p523 :rule refl :args (@t259)) % 0.37/0.70 (step @p524 :rule bool-double-not-elim :args (@t177)) % 0.37/0.70 (step @p525 :rule nary_cong :premises (@p255 @p254 @p524 @p436 @p523) :args ((or @t201 @t184 (not @t178) @t242 @t259))) % 0.37/0.70 (assume-push @p638 @t154) % 0.37/0.70 (assume-push @p639 @t155) % 0.37/0.70 (assume-push @p640 @t178) % 0.37/0.70 (assume-push @p641 @t224) % 0.37/0.70 (assume-push @p642 @t178) % 0.37/0.70 (assume-push @p643 @t154) % 0.37/0.70 (assume-push @p644 @t224) % 0.37/0.70 (assume-push @p645 @t155) % 0.37/0.70 (step @p534 :rule false_intro :premises (@p640)) % 0.37/0.70 (step @p268 :rule symm :premises (@p188)) % 0.37/0.70 (step @p500 :rule symm :premises (@p187)) % 0.37/0.70 (step @p535 :rule symm :premises (@p641)) % 0.37/0.70 (step @p536 :rule trans :premises (@p535 @p500)) % 0.37/0.70 (step @p537 :rule cong :premises (@p536 @p268) :args (@t256)) % 0.37/0.70 (step @p538 :rule trans :premises (@p537 @p534)) % 0.37/0.70 (step @p539 :rule false_elim :premises (@p538)) % 0.37/0.70 (step-pop @p646 :rule scope :premises (@p539)) % 0.37/0.70 (step-pop @p647 :rule scope :premises (@p646)) % 0.37/0.70 (step-pop @p648 :rule scope :premises (@p647)) % 0.37/0.70 (step-pop @p649 :rule scope :premises (@p648)) % 0.37/0.70 (step @p540 :rule process_scope :premises (@p649) :args (@t259)) % 0.37/0.70 (step @p545 :rule and_intro :premises (@p640 @p187 @p641 @p188)) % 0.37/0.70 (step @p546 :rule modus_ponens :premises (@p545 @p540)) % 0.37/0.70 (step-pop @p650 :rule scope :premises (@p546)) % 0.37/0.70 (step-pop @p651 :rule scope :premises (@p650)) % 0.37/0.70 (step-pop @p652 :rule scope :premises (@p651)) % 0.37/0.70 (step-pop @p653 :rule scope :premises (@p652)) % 0.37/0.70 (step @p547 :rule process_scope :premises (@p653) :args (@t259)) % 0.37/0.70 (step @p552 :rule implies_elim :premises (@p547)) % 0.37/0.70 (step @p553 :rule cnf_and_neg :args (@t260)) % 0.37/0.70 (step @p554 :rule resolution :premises (@p553 @p552) :args (true @t260)) % 0.37/0.70 (step @p555 :rule eq_resolve :premises (@p554 @p525)) % 0.37/0.70 (step @p556 :rule reordering :premises (@p555) :args ((or @t177 @t201 @t184 @t242 @t259))) % 0.37/0.70 (step @p557 false :rule chain_m_resolution :premises (@p556 @p522 @p465 @p397 @p188 @p187) :args (false (@list false true false false false) (@list @t256 @t177 @t224 @t155 @t154))) % 0.37/0.70 ) % 0.37/0.70 % SZS output end Proof % 0.37/0.70 % cvc5 exiting %------------------------------------------------------------------------------