%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC107-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 14.12s 14.32s % Output : Proof 14.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC107-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n006.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 19:15:34 EDT 2026 % 0.16/0.33 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 14.12/14.32 % SZS status Unsatisfiable % 14.12/14.32 % SZS output start Proof % 14.12/14.34 ( % 14.12/14.34 (declare-sort $$unsorted 0) % 14.12/14.34 (declare-const tptp.sk5 $$unsorted) % 14.12/14.34 (declare-const tptp.sk4 $$unsorted) % 14.12/14.34 (declare-const tptp.sk2 $$unsorted) % 14.12/14.34 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.nil $$unsorted) % 14.12/14.34 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.sk1 $$unsorted) % 14.12/14.34 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skac2 $$unsorted) % 14.12/14.34 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.sk3 $$unsorted) % 14.12/14.34 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.ssList (-> $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skac3 $$unsorted) % 14.12/14.34 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 14.12/14.34 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 14.12/14.34 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 14.12/14.34 (define @t1 () (tptp.ssList tptp.nil)) % 14.12/14.34 (define @t2 () (@var "U" $$unsorted)) % 14.12/14.34 (define @t3 () (tptp.skaf83 @t2)) % 14.12/14.34 (define @t4 () (@list @t2)) % 14.12/14.34 (define @t5 () (tptp.skaf82 @t2)) % 14.12/14.34 (define @t6 () (tptp.skaf81 @t2)) % 14.12/14.34 (define @t7 () (tptp.skaf80 @t2)) % 14.12/14.34 (define @t8 () (tptp.skaf79 @t2)) % 14.12/14.34 (define @t9 () (tptp.skaf78 @t2)) % 14.12/14.34 (define @t10 () (tptp.skaf77 @t2)) % 14.12/14.34 (define @t11 () (tptp.skaf76 @t2)) % 14.12/14.34 (define @t12 () (tptp.skaf75 @t2)) % 14.12/14.34 (define @t13 () (tptp.skaf74 @t2)) % 14.12/14.34 (define @t14 () (tptp.skaf73 @t2)) % 14.12/14.34 (define @t15 () (tptp.skaf72 @t2)) % 14.12/14.34 (define @t16 () (tptp.skaf71 @t2)) % 14.12/14.34 (define @t17 () (tptp.skaf70 @t2)) % 14.12/14.34 (define @t18 () (tptp.skaf69 @t2)) % 14.12/14.34 (define @t19 () (tptp.skaf68 @t2)) % 14.12/14.34 (define @t20 () (tptp.skaf67 @t2)) % 14.12/14.34 (define @t21 () (tptp.skaf66 @t2)) % 14.12/14.34 (define @t22 () (tptp.skaf65 @t2)) % 14.12/14.34 (define @t23 () (tptp.skaf64 @t2)) % 14.12/14.34 (define @t24 () (tptp.skaf63 @t2)) % 14.12/14.34 (define @t25 () (tptp.skaf62 @t2)) % 14.12/14.34 (define @t26 () (tptp.skaf61 @t2)) % 14.12/14.34 (define @t27 () (tptp.skaf60 @t2)) % 14.12/14.34 (define @t28 () (tptp.skaf59 @t2)) % 14.12/14.34 (define @t29 () (tptp.skaf58 @t2)) % 14.12/14.34 (define @t30 () (tptp.skaf57 @t2)) % 14.12/14.34 (define @t31 () (tptp.skaf56 @t2)) % 14.12/14.34 (define @t32 () (tptp.skaf55 @t2)) % 14.12/14.34 (define @t33 () (tptp.skaf54 @t2)) % 14.12/14.34 (define @t34 () (tptp.skaf53 @t2)) % 14.12/14.34 (define @t35 () (tptp.skaf52 @t2)) % 14.12/14.34 (define @t36 () (tptp.skaf51 @t2)) % 14.12/14.34 (define @t37 () (tptp.skaf50 @t2)) % 14.12/14.34 (define @t38 () (tptp.skaf49 @t2)) % 14.12/14.34 (define @t39 () (tptp.skaf44 @t2)) % 14.12/14.34 (define @t40 () (@var "V" $$unsorted)) % 14.12/14.34 (define @t41 () (@list @t2 @t40)) % 14.12/14.34 (define @t42 () (tptp.skaf47 @t2 @t40)) % 14.12/14.34 (define @t43 () (tptp.skaf46 @t2 @t40)) % 14.12/14.34 (define @t44 () (tptp.skaf45 @t2 @t40)) % 14.12/14.34 (define @t45 () (tptp.skaf42 @t2 @t40)) % 14.12/14.34 (define @t46 () (not (tptp.ssItem @t2))) % 14.12/14.34 (define @t47 () (not (tptp.ssList @t2))) % 14.12/14.34 (define @t48 () (tptp.cons @t2 tptp.nil)) % 14.12/14.34 (define @t49 () (tptp.ssItem @t40)) % 14.12/14.34 (define @t50 () (tptp.duplicatefreeP @t2)) % 14.12/14.34 (define @t51 () (tptp.app tptp.nil @t2)) % 14.12/14.34 (define @t52 () (or @t47 (= @t51 @t2))) % 14.12/14.34 (define @t53 () (forall @t4 @t52)) % 14.12/14.34 (define @t54 () (= tptp.nil @t2)) % 14.12/14.34 (define @t55 () (tptp.tl @t2)) % 14.12/14.34 (define @t56 () (tptp.hd @t2)) % 14.12/14.34 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 14.12/14.34 (define @t58 () (not @t54)) % 14.12/14.34 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 14.12/14.34 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 14.12/14.34 (define @t61 () (tptp.app @t40 @t2)) % 14.12/14.34 (define @t62 () (not (tptp.ssList @t40))) % 14.12/14.34 (define @t63 () (tptp.cons @t2 @t40)) % 14.12/14.34 (define @t64 () (tptp.cyclefreeP @t2)) % 14.12/14.34 (define @t65 () (tptp.equalelemsP @t2)) % 14.12/14.34 (define @t66 () (tptp.strictorderedP @t2)) % 14.12/14.34 (define @t67 () (tptp.totalorderedP @t2)) % 14.12/14.34 (define @t68 () (tptp.strictorderP @t2)) % 14.12/14.34 (define @t69 () (tptp.totalorderP @t2)) % 14.12/14.34 (define @t70 () (tptp.tl @t63)) % 14.12/14.34 (define @t71 () (or @t46 @t62 (= @t70 @t40))) % 14.12/14.34 (define @t72 () (forall @t41 @t71)) % 14.12/14.34 (define @t73 () (not (= @t63 @t40))) % 14.12/14.34 (define @t74 () (or @t73 @t46 @t62)) % 14.12/14.34 (define @t75 () (forall @t41 @t74)) % 14.12/14.34 (define @t76 () (= @t40 @t2)) % 14.12/14.34 (define @t77 () (tptp.neq @t40 @t2)) % 14.12/14.34 (define @t78 () (or @t47 @t62 @t77 @t76)) % 14.12/14.34 (define @t79 () (forall @t41 @t78)) % 14.12/14.34 (define @t80 () (not @t49)) % 14.12/14.34 (define @t81 () (tptp.leq @t2 @t40)) % 14.12/14.34 (define @t82 () (tptp.lt @t2 @t40)) % 14.12/14.34 (define @t83 () (not @t82)) % 14.12/14.34 (define @t84 () (tptp.lt @t40 @t2)) % 14.12/14.34 (define @t85 () (not (tptp.gt @t2 @t40))) % 14.12/14.34 (define @t86 () (tptp.gt @t40 @t2)) % 14.12/14.34 (define @t87 () (tptp.leq @t40 @t2)) % 14.12/14.34 (define @t88 () (not (tptp.geq @t2 @t40))) % 14.12/14.34 (define @t89 () (tptp.geq @t40 @t2)) % 14.12/14.34 (define @t90 () (not @t81)) % 14.12/14.34 (define @t91 () (= @t2 @t40)) % 14.12/14.34 (define @t92 () (not @t91)) % 14.12/14.34 (define @t93 () (tptp.cons @t40 @t2)) % 14.12/14.34 (define @t94 () (not (tptp.neq @t2 @t40))) % 14.12/14.34 (define @t95 () (or @t92 @t94 @t62 @t47)) % 14.12/14.34 (define @t96 () (forall @t41 @t95)) % 14.12/14.34 (define @t97 () (tptp.app @t2 @t40)) % 14.12/14.34 (define @t98 () (= @t97 tptp.nil)) % 14.12/14.34 (define @t99 () (not @t98)) % 14.12/14.34 (define @t100 () (= tptp.nil @t40)) % 14.12/14.34 (define @t101 () (tptp.app @t48 @t40)) % 14.12/14.34 (define @t102 () (or @t46 @t62 (= @t101 @t63))) % 14.12/14.34 (define @t103 () (forall @t41 @t102)) % 14.12/14.34 (define @t104 () (tptp.hd @t40)) % 14.12/14.34 (define @t105 () (tptp.strictorderedP @t40)) % 14.12/14.34 (define @t106 () (tptp.strictorderedP @t63)) % 14.12/14.34 (define @t107 () (not @t106)) % 14.12/14.34 (define @t108 () (tptp.totalorderedP @t40)) % 14.12/14.34 (define @t109 () (tptp.totalorderedP @t63)) % 14.12/14.34 (define @t110 () (not @t109)) % 14.12/14.34 (define @t111 () (not (tptp.segmentP @t2 @t40))) % 14.12/14.34 (define @t112 () (not (tptp.rearsegP @t2 @t40))) % 14.12/14.34 (define @t113 () (not (tptp.frontsegP @t2 @t40))) % 14.12/14.34 (define @t114 () (not @t87)) % 14.12/14.34 (define @t115 () (tptp.app @t40 @t44)) % 14.12/14.34 (define @t116 () (or @t113 @t62 @t47 (= @t115 @t2))) % 14.12/14.34 (define @t117 () (forall @t41 @t116)) % 14.12/14.34 (define @t118 () (tptp.tl @t40)) % 14.12/14.34 (define @t119 () (tptp.lt @t2 @t104)) % 14.12/14.34 (define @t120 () (tptp.leq @t2 @t104)) % 14.12/14.34 (define @t121 () (@var "W" $$unsorted)) % 14.12/14.34 (define @t122 () (tptp.app @t121 @t2)) % 14.12/14.34 (define @t123 () (not (tptp.ssList @t121))) % 14.12/14.34 (define @t124 () (@list @t2 @t40 @t121)) % 14.12/14.34 (define @t125 () (tptp.app @t2 @t121)) % 14.12/14.34 (define @t126 () (tptp.cons @t40 @t121)) % 14.12/14.34 (define @t127 () (tptp.cons @t121 @t2)) % 14.12/14.34 (define @t128 () (not (tptp.ssItem @t121))) % 14.12/14.34 (define @t129 () (not (tptp.memberP @t2 @t40))) % 14.12/14.34 (define @t130 () (not (= @t97 @t121))) % 14.12/14.34 (define @t131 () (tptp.lt @t2 @t121)) % 14.12/14.34 (define @t132 () (not (tptp.lt @t40 @t121))) % 14.12/14.34 (define @t133 () (tptp.app @t121 @t40)) % 14.12/14.34 (define @t134 () (= @t40 @t121)) % 14.12/14.34 (define @t135 () (= @t2 @t121)) % 14.12/14.34 (define @t136 () (tptp.memberP @t40 @t121)) % 14.12/14.34 (define @t137 () (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2)))) % 14.12/14.34 (define @t138 () (or @t129 @t80 @t47 (= @t137 @t2))) % 14.12/14.34 (define @t139 () (forall @t41 @t138)) % 14.12/14.34 (define @t140 () (@var "X" $$unsorted)) % 14.12/14.34 (define @t141 () (not (tptp.ssList @t140))) % 14.12/14.34 (define @t142 () (tptp.cons @t121 @t140)) % 14.12/14.34 (define @t143 () (not (= @t63 @t142))) % 14.12/14.34 (define @t144 () (@list @t2 @t40 @t121 @t140)) % 14.12/14.34 (define @t145 () (not (tptp.frontsegP @t63 @t142))) % 14.12/14.34 (define @t146 () (tptp.app @t2 @t126)) % 14.12/14.34 (define @t147 () (not (tptp.ssItem @t140))) % 14.12/14.34 (define @t148 () (@var "Y" $$unsorted)) % 14.12/14.34 (define @t149 () (not (tptp.ssList @t148))) % 14.12/14.34 (define @t150 () (@list @t2 @t40 @t121 @t140 @t148)) % 14.12/14.34 (define @t151 () (tptp.lt @t40 @t140)) % 14.12/14.34 (define @t152 () (@var "Z" $$unsorted)) % 14.12/14.34 (define @t153 () (not (tptp.ssList @t152))) % 14.12/14.34 (define @t154 () (not (= (tptp.app @t146 (tptp.cons @t140 @t148)) @t152))) % 14.12/14.34 (define @t155 () (@list @t2 @t40 @t121 @t140 @t148 @t152)) % 14.12/14.34 (define @t156 () (tptp.leq @t40 @t140)) % 14.12/14.34 (define @t157 () (tptp.ssList tptp.sk1)) % 14.12/14.34 (define @t158 () (tptp.ssList tptp.sk4)) % 14.12/14.34 (define @t159 () (= tptp.sk2 tptp.sk4)) % 14.12/14.34 (define @t160 () (= tptp.sk1 tptp.sk3)) % 14.12/14.34 (define @t161 () (= tptp.nil tptp.sk4)) % 14.12/14.34 (define @t162 () (tptp.ssItem tptp.sk5)) % 14.12/14.34 (define @t163 () (= tptp.nil tptp.sk3)) % 14.12/14.34 (define @t164 () (tptp.cons tptp.sk5 tptp.nil)) % 14.12/14.34 (define @t165 () (= @t164 tptp.sk3)) % 14.12/14.34 (define @t166 () (or @t165 @t161)) % 14.12/14.34 (define @t167 () (tptp.memberP tptp.sk4 tptp.sk5)) % 14.12/14.34 (define @t168 () (@var "A" $$unsorted)) % 14.12/14.34 (define @t169 () (not (tptp.leq tptp.sk5 @t168))) % 14.12/14.34 (define @t170 () (not (tptp.memberP tptp.sk4 @t168))) % 14.12/14.34 (define @t171 () (= tptp.sk5 @t168)) % 14.12/14.34 (define @t172 () (not (tptp.ssItem @t168))) % 14.12/14.34 (define @t173 () (@list @t168)) % 14.12/14.34 (define @t174 () (tptp.neq tptp.sk2 tptp.nil)) % 14.12/14.34 (define @t175 () (= tptp.nil tptp.sk2)) % 14.12/14.34 (define @t176 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 14.12/14.34 (define @t177 () (not @t176)) % 14.12/14.34 (define @t178 () (tptp.neq tptp.sk1 tptp.nil)) % 14.12/14.34 (define @t179 () (not @t178)) % 14.12/14.34 (define @t180 () (= tptp.nil tptp.sk1)) % 14.12/14.34 (define @t181 () (not @t180)) % 14.12/14.34 (define @t182 () (@list tptp.sk4 tptp.sk5)) % 14.12/14.34 (define @t183 () (and @t160 @t163)) % 14.12/14.34 (define @t184 () (not @t163)) % 14.12/14.34 (define @t185 () (not @t160)) % 14.12/14.34 (define @t186 () (not (tptp.neq @t40 @t40))) % 14.12/14.34 (define @t187 () (not (= @t40 @t40))) % 14.12/14.34 (define @t188 () (or @t187 @t186 @t62 @t62)) % 14.12/14.34 (define @t189 () (@list @t40)) % 14.12/14.34 (define @t190 () (or @t92 @t92 @t94 @t62 @t47)) % 14.12/14.34 (define @t191 () (forall @t4 @t95)) % 14.12/14.34 (define @t192 () (forall @t189 @t191)) % 14.12/14.34 (define @t193 () (forall (@list @t40 @t2) @t95)) % 14.12/14.34 (define @t194 () (@list tptp.sk1)) % 14.12/14.34 (define @t195 () (not @t157)) % 14.12/14.34 (define @t196 () (tptp.neq tptp.sk1 tptp.sk1)) % 14.12/14.34 (define @t197 () (not @t196)) % 14.12/14.34 (define @t198 () (or @t197 @t195)) % 14.12/14.34 (define @t199 () (@list false false)) % 14.12/14.34 (define @t200 () (not @t174)) % 14.12/14.34 (define @t201 () (not @t161)) % 14.12/14.34 (define @t202 () (not @t159)) % 14.12/14.34 (define @t203 () (and @t159 @t160 @t161 @t163 @t197)) % 14.12/14.34 (define @t204 () (not @t162)) % 14.12/14.34 (define @t205 () (tptp.memberP tptp.nil tptp.sk5)) % 14.12/14.34 (define @t206 () (not @t205)) % 14.12/14.34 (define @t207 () (or @t206 @t204)) % 14.12/14.34 (define @t208 () (and @t161 @t167)) % 14.12/14.34 (define @t209 () (@list true)) % 14.12/14.34 (define @t210 () (@list @t161)) % 14.12/14.34 (define @t211 () (tptp.skaf43 tptp.sk5 tptp.sk4)) % 14.12/14.34 (define @t212 () (tptp.cons tptp.sk5 @t211)) % 14.12/14.34 (define @t213 () (tptp.skaf42 tptp.sk4 tptp.sk5)) % 14.12/14.34 (define @t214 () (tptp.app @t213 @t212)) % 14.12/14.34 (define @t215 () (= tptp.sk4 @t214)) % 14.12/14.34 (define @t216 () (not @t158)) % 14.12/14.34 (define @t217 () (not @t167)) % 14.12/14.34 (define @t218 () (or @t217 @t204 @t216 @t215)) % 14.12/14.34 (define @t219 () (@list false false false false)) % 14.12/14.34 (define @t220 () (tptp.app @t164 @t211)) % 14.12/14.34 (define @t221 () (= @t212 @t220)) % 14.12/14.34 (define @t222 () (tptp.ssList @t211)) % 14.12/14.34 (define @t223 () (not @t222)) % 14.12/14.34 (define @t224 () (or @t204 @t223 @t221)) % 14.12/14.34 (define @t225 () (@list false false false)) % 14.12/14.34 (define @t226 () (= tptp.sk3 @t164)) % 14.12/14.34 (define @t227 () (tptp.ssList @t164)) % 14.12/14.34 (define @t228 () (and @t157 @t160 @t226)) % 14.12/14.34 (define @t229 () (tptp.app (tptp.app @t213 @t164) @t211)) % 14.12/14.34 (define @t230 () (= @t229 (tptp.app @t213 @t220))) % 14.12/14.34 (define @t231 () (tptp.ssList @t213)) % 14.12/14.34 (define @t232 () (not @t231)) % 14.12/14.34 (define @t233 () (not @t227)) % 14.12/14.34 (define @t234 () (or @t223 @t233 @t232 @t230)) % 14.12/14.34 (define @t235 () (tptp.segmentP tptp.sk1 tptp.sk1)) % 14.12/14.34 (define @t236 () (or @t195 @t235)) % 14.12/14.34 (define @t237 () (tptp.segmentP @t164 tptp.sk1)) % 14.12/14.34 (define @t238 () (and @t160 @t226 @t235)) % 14.12/14.34 (define @t239 () (tptp.segmentP @t229 tptp.sk1)) % 14.12/14.34 (define @t240 () (not @t237)) % 14.12/14.34 (define @t241 () (or @t240 @t223 @t232 @t195 @t233 @t239)) % 14.12/14.34 (define @t242 () (tptp.skaf45 tptp.sk1 tptp.sk1)) % 14.12/14.34 (define @t243 () (@list tptp.sk5 @t242)) % 14.12/14.34 (define @t244 () (@list tptp.sk1 tptp.sk1)) % 14.12/14.34 (define @t245 () (tptp.cons tptp.sk5 @t242)) % 14.12/14.34 (define @t246 () (= @t242 (tptp.tl @t245))) % 14.12/14.34 (define @t247 () (tptp.ssList @t242)) % 14.12/14.34 (define @t248 () (not @t247)) % 14.12/14.34 (define @t249 () (or @t204 @t248 @t246)) % 14.12/14.34 (define @t250 () (= @t242 @t245)) % 14.12/14.34 (define @t251 () (not @t250)) % 14.12/14.34 (define @t252 () (or @t251 @t204 @t248)) % 14.12/14.34 (define @t253 () (= @t245 (tptp.app @t164 @t242))) % 14.12/14.34 (define @t254 () (or @t204 @t248 @t253)) % 14.12/14.34 (define @t255 () (tptp.skaf45 tptp.sk1 tptp.nil)) % 14.12/14.34 (define @t256 () (@list tptp.sk1 tptp.nil)) % 14.12/14.34 (define @t257 () (tptp.app tptp.nil @t255)) % 14.12/14.34 (define @t258 () (= @t255 @t257)) % 14.12/14.34 (define @t259 () (tptp.ssList @t255)) % 14.12/14.34 (define @t260 () (not @t259)) % 14.12/14.34 (define @t261 () (or @t260 @t258)) % 14.12/14.34 (define @t262 () (tptp.frontsegP tptp.sk1 tptp.sk1)) % 14.12/14.34 (define @t263 () (or @t195 @t262)) % 14.12/14.34 (define @t264 () (tptp.app tptp.sk1 @t242)) % 14.12/14.34 (define @t265 () (= tptp.sk1 @t264)) % 14.12/14.34 (define @t266 () (not @t262)) % 14.12/14.34 (define @t267 () (or @t266 @t195 @t195 @t265)) % 14.12/14.34 (define @t268 () (tptp.frontsegP tptp.sk1 tptp.nil)) % 14.12/14.34 (define @t269 () (or @t195 @t268)) % 14.12/14.34 (define @t270 () (= tptp.sk1 @t257)) % 14.12/14.34 (define @t271 () (not @t1)) % 14.12/14.34 (define @t272 () (not @t268)) % 14.12/14.34 (define @t273 () (or @t272 @t271 @t195 @t270)) % 14.12/14.34 (define @t274 () (tptp.tl @t164)) % 14.12/14.34 (define @t275 () (= tptp.nil @t274)) % 14.12/14.34 (define @t276 () (or @t204 @t271 @t275)) % 14.12/14.34 (define @t277 () (not @t246)) % 14.12/14.34 (define @t278 () (not @t253)) % 14.12/14.34 (define @t279 () (not @t258)) % 14.12/14.34 (define @t280 () (not @t265)) % 14.12/14.34 (define @t281 () (not @t270)) % 14.12/14.34 (define @t282 () (not @t275)) % 14.12/14.34 (define @t283 () (not @t226)) % 14.12/14.34 (define @t284 () (= tptp.nil @t255)) % 14.12/14.34 (define @t285 () (not @t284)) % 14.12/14.34 (define @t286 () (and @t160 @t226 @t275 @t270 @t265 @t258 @t253 @t246 @t251)) % 14.12/14.34 (define @t287 () (or @t271 @t195 @t178 @t180)) % 14.12/14.34 (define @t288 () (not @t175)) % 14.12/14.34 (define @t289 () (and @t159 @t201)) % 14.12/14.34 (define @t290 () (@list true false)) % 14.12/14.34 (define @t291 () (and @t159 @t215 @t221 @t230 @t239)) % 14.12/14.34 (assume @p1 (tptp.equalelemsP tptp.nil)) % 14.12/14.34 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 14.12/14.34 (assume @p3 (tptp.strictorderedP tptp.nil)) % 14.12/14.34 (assume @p4 (tptp.totalorderedP tptp.nil)) % 14.12/14.34 (assume @p5 (tptp.strictorderP tptp.nil)) % 14.12/14.34 (assume @p6 (tptp.totalorderP tptp.nil)) % 14.12/14.34 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 14.12/14.34 (assume @p8 @t1) % 14.12/14.34 (assume @p9 (tptp.ssItem tptp.skac3)) % 14.12/14.34 (assume @p10 (tptp.ssItem tptp.skac2)) % 14.12/14.34 (assume @p11 (not (tptp.singletonP tptp.nil))) % 14.12/14.34 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 14.12/14.34 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 14.12/14.34 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 14.12/14.34 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 14.12/14.34 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 14.12/14.34 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 14.12/14.34 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 14.12/14.34 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 14.12/14.34 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 14.12/14.34 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 14.12/14.34 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 14.12/14.34 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 14.12/14.34 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 14.12/14.34 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 14.12/14.34 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 14.12/14.34 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 14.12/14.34 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 14.12/14.34 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 14.12/14.34 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 14.12/14.34 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 14.12/14.34 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 14.12/14.34 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 14.12/14.34 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 14.12/14.34 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 14.12/14.34 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 14.12/14.34 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 14.12/14.34 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 14.12/14.34 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 14.12/14.34 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 14.12/14.34 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 14.12/14.34 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 14.12/14.34 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 14.12/14.34 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 14.12/14.34 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 14.12/14.34 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 14.12/14.34 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 14.12/14.34 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 14.12/14.34 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 14.12/14.34 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 14.12/14.34 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 14.12/14.34 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 14.12/14.34 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 14.12/14.34 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 14.12/14.34 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 14.12/14.34 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 14.12/14.34 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 14.12/14.34 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 14.12/14.34 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 14.12/14.34 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 14.12/14.34 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 14.12/14.34 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 14.12/14.34 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 14.12/14.34 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 14.12/14.34 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 14.12/14.34 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 14.12/14.34 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 14.12/14.34 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 14.12/14.34 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 14.12/14.34 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 14.12/14.34 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 14.12/14.34 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 14.12/14.34 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 14.12/14.34 (assume @p74 @t53) % 14.12/14.34 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 14.12/14.34 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 14.12/14.34 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 14.12/14.34 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 14.12/14.34 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 14.12/14.34 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 14.12/14.34 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 14.12/14.34 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 14.12/14.34 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 14.12/14.34 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 14.12/14.34 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 14.12/14.34 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 14.12/14.34 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 14.12/14.34 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 14.12/14.34 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 14.12/14.34 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 14.12/14.34 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 14.12/14.34 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 14.12/14.34 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 14.12/14.34 (assume @p94 @t72) % 14.12/14.34 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 14.12/14.34 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 14.12/14.34 (assume @p97 @t75) % 14.12/14.34 (assume @p98 @t79) % 14.12/14.34 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 14.12/14.34 (assume @p100 (forall @t41 (or @t46 @t80 @t77 @t76))) % 14.12/14.34 (assume @p101 (forall @t41 (or @t83 @t80 @t46 @t81))) % 14.12/14.34 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 14.12/14.34 (assume @p103 (forall @t41 (or @t85 @t80 @t46 @t84))) % 14.12/14.34 (assume @p104 (forall @t41 (or @t83 @t46 @t80 @t86))) % 14.12/14.34 (assume @p105 (forall @t41 (or @t88 @t80 @t46 @t87))) % 14.12/14.34 (assume @p106 (forall @t41 (or @t90 @t46 @t80 @t89))) % 14.12/14.34 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 14.12/14.34 (assume @p108 (forall @t41 (or @t85 (not @t86) @t46 @t80))) % 14.12/14.34 (assume @p109 (forall @t41 (or @t92 @t83 @t80 @t46))) % 14.12/14.34 (assume @p110 (forall @t41 (or @t58 @t47 @t80 (tptp.strictorderedP @t93)))) % 14.12/14.34 (assume @p111 (forall @t41 (or @t58 @t47 @t80 (tptp.totalorderedP @t93)))) % 14.12/14.34 (assume @p112 (forall @t41 (or @t83 (not @t84) @t46 @t80))) % 14.12/14.34 (assume @p113 @t96) % 14.12/14.34 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 14.12/14.34 (assume @p115 (forall @t41 (or @t92 @t94 @t80 @t46))) % 14.12/14.34 (assume @p116 (forall @t41 (or @t99 @t62 @t47 @t54))) % 14.12/14.34 (assume @p117 (forall @t41 (or @t99 @t62 @t47 @t100))) % 14.12/14.34 (assume @p118 @t103) % 14.12/14.34 (assume @p119 (forall @t41 (or @t90 @t80 @t46 @t82 @t91))) % 14.12/14.34 (assume @p120 (forall @t41 (or @t47 @t62 @t100 (= (tptp.hd @t61) @t104)))) % 14.12/14.34 (assume @p121 (forall @t41 (or @t107 @t62 @t46 @t105 @t100))) % 14.12/14.34 (assume @p122 (forall @t41 (or @t110 @t62 @t46 @t108 @t100))) % 14.12/14.34 (assume @p123 (forall @t41 (or @t88 (not @t89) @t46 @t80 @t76))) % 14.12/14.34 (assume @p124 (forall @t41 (or @t111 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t76))) % 14.12/14.34 (assume @p125 (forall @t41 (or @t112 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t76))) % 14.12/14.34 (assume @p126 (forall @t41 (or @t113 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t76))) % 14.12/14.34 (assume @p127 (forall @t41 (or @t90 @t114 @t46 @t80 @t76))) % 14.12/14.34 (assume @p128 (forall @t41 (or @t112 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 14.12/14.34 (assume @p129 @t117) % 14.12/14.34 (assume @p130 (forall @t41 (or @t47 @t62 @t100 (= (tptp.tl @t61) (tptp.app @t118 @t2))))) % 14.12/14.34 (assume @p131 (forall @t41 (or @t107 @t62 @t46 @t119 @t100))) % 14.12/14.34 (assume @p132 (forall @t41 (or @t110 @t62 @t46 @t120 @t100))) % 14.12/14.34 (assume @p133 (forall @t124 (or @t112 @t123 @t62 @t47 (tptp.rearsegP @t122 @t40)))) % 14.12/14.34 (assume @p134 (forall @t124 (or @t113 @t123 @t62 @t47 (tptp.frontsegP @t125 @t40)))) % 14.12/14.34 (assume @p135 (forall @t124 (or @t92 @t123 @t80 @t46 (tptp.memberP @t126 @t2)))) % 14.12/14.34 (assume @p136 (forall @t124 (or @t129 @t47 @t128 @t80 (tptp.memberP @t127 @t40)))) % 14.12/14.34 (assume @p137 (forall @t124 (or @t129 @t123 @t47 @t80 (tptp.memberP @t125 @t40)))) % 14.12/14.34 (assume @p138 (forall @t124 (or @t129 @t47 @t123 @t80 (tptp.memberP @t122 @t40)))) % 14.12/14.34 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 14.12/14.34 (assume @p140 (forall @t124 (or @t130 @t47 @t62 @t123 (tptp.rearsegP @t121 @t40)))) % 14.12/14.34 (assume @p141 (forall @t124 (or @t130 @t62 @t47 @t123 (tptp.frontsegP @t121 @t2)))) % 14.12/14.34 (assume @p142 (forall @t41 (or @t58 (not @t100) @t62 @t47 @t98))) % 14.12/14.34 (assume @p143 (forall @t124 (or @t85 (not (tptp.gt @t40 @t121)) @t128 @t80 @t46 (tptp.gt @t2 @t121)))) % 14.12/14.34 (assume @p144 (forall @t124 (or @t90 @t132 @t128 @t80 @t46 @t131))) % 14.12/14.34 (assume @p145 (forall @t124 (or @t88 (not (tptp.geq @t40 @t121)) @t128 @t80 @t46 (tptp.geq @t2 @t121)))) % 14.12/14.34 (assume @p146 (forall @t124 (or @t47 @t62 @t123 (= (tptp.app @t133 @t2) (tptp.app @t121 @t61))))) % 14.12/14.34 (assume @p147 (forall @t124 (or (not (= @t97 @t125)) @t62 @t47 @t123 @t134))) % 14.12/14.34 (assume @p148 (forall @t124 (or (not (= @t97 @t133)) @t47 @t62 @t123 @t135))) % 14.12/14.34 (assume @p149 (forall @t124 (or @t111 (not (tptp.segmentP @t40 @t121)) @t123 @t62 @t47 (tptp.segmentP @t2 @t121)))) % 14.12/14.34 (assume @p150 (forall @t124 (or @t112 (not (tptp.rearsegP @t40 @t121)) @t123 @t62 @t47 (tptp.rearsegP @t2 @t121)))) % 14.12/14.34 (assume @p151 (forall @t124 (or @t113 (not (tptp.frontsegP @t40 @t121)) @t123 @t62 @t47 (tptp.frontsegP @t2 @t121)))) % 14.12/14.34 (assume @p152 (forall @t124 (or @t83 @t132 @t128 @t80 @t46 @t131))) % 14.12/14.34 (assume @p153 (forall @t124 (or @t90 (not (tptp.leq @t40 @t121)) @t128 @t80 @t46 (tptp.leq @t2 @t121)))) % 14.12/14.34 (assume @p154 (forall @t124 (or @t46 @t62 @t123 (= (tptp.cons @t2 (tptp.app @t40 @t121)) (tptp.app @t63 @t121))))) % 14.12/14.34 (assume @p155 (forall @t124 (or (not (tptp.memberP @t97 @t121)) @t62 @t47 @t128 @t136 (tptp.memberP @t2 @t121)))) % 14.12/14.34 (assume @p156 (forall @t41 (or (not @t120) (not @t108) @t62 @t46 @t109 @t100))) % 14.12/14.34 (assume @p157 (forall @t41 (or (not @t119) (not @t105) @t62 @t46 @t106 @t100))) % 14.12/14.34 (assume @p158 (forall @t124 (or (not (tptp.memberP @t63 @t121)) @t62 @t46 @t128 @t136 (= @t121 @t2)))) % 14.12/14.34 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 14.12/14.34 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 14.12/14.34 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 14.12/14.34 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 14.12/14.34 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 14.12/14.34 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 14.12/14.34 (assume @p165 (forall @t41 (or @t111 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 14.12/14.34 (assume @p166 @t139) % 14.12/14.34 (assume @p167 (forall @t144 (or @t143 @t128 @t46 @t141 @t62 @t135))) % 14.12/14.34 (assume @p168 (forall @t144 (or @t143 @t128 @t46 @t141 @t62 (= @t140 @t40)))) % 14.12/14.34 (assume @p169 (forall @t144 (or @t111 @t123 @t141 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t140 @t2) @t121) @t40)))) % 14.12/14.34 (assume @p170 (forall @t144 (or (not (= (tptp.app @t97 @t121) @t140)) @t123 @t47 @t62 @t141 (tptp.segmentP @t140 @t40)))) % 14.12/14.34 (assume @p171 (forall @t144 (or @t145 @t141 @t62 @t128 @t46 (tptp.frontsegP @t40 @t140)))) % 14.12/14.34 (assume @p172 (forall @t144 (or (not (= @t146 @t140)) @t123 @t47 @t80 @t141 (tptp.memberP @t140 @t40)))) % 14.12/14.34 (assume @p173 (forall @t144 (or @t145 @t141 @t62 @t128 @t46 @t135))) % 14.12/14.34 (assume @p174 (forall @t41 (or (not (= @t55 @t118)) (not (= @t56 @t104)) @t47 @t62 @t100 @t91 @t54))) % 14.12/14.34 (assume @p175 (forall @t144 (or @t113 (not (= @t121 @t140)) @t62 @t47 @t147 @t128 (tptp.frontsegP @t127 (tptp.cons @t140 @t40))))) % 14.12/14.34 (assume @p176 (forall @t150 (or (not (= (tptp.app @t146 (tptp.cons @t40 @t140)) @t148)) @t141 @t123 @t47 @t80 (not (tptp.duplicatefreeP @t148)) @t149))) % 14.12/14.34 (assume @p177 (forall @t150 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t142)) @t148)) @t141 @t47 @t128 @t80 (not (tptp.equalelemsP @t148)) @t149 @t134))) % 14.12/14.34 (assume @p178 (forall @t155 (or @t154 @t149 @t123 @t47 @t147 @t80 (not (tptp.strictorderedP @t152)) @t153 @t151))) % 14.12/14.34 (assume @p179 (forall @t155 (or @t154 @t149 @t123 @t47 @t147 @t80 (not (tptp.totalorderedP @t152)) @t153 @t156))) % 14.12/14.34 (assume @p180 (forall @t155 (or @t154 @t149 @t123 @t47 @t147 @t80 (not (tptp.strictorderP @t152)) @t153 @t151 (tptp.lt @t140 @t40)))) % 14.12/14.34 (assume @p181 (forall @t155 (or @t154 @t149 @t123 @t47 @t147 @t80 (not (tptp.totalorderP @t152)) @t153 @t156 (tptp.leq @t140 @t40)))) % 14.12/14.34 (assume @p182 (forall @t155 (or @t90 @t114 (not (= (tptp.app (tptp.app @t121 (tptp.cons @t2 @t140)) (tptp.cons @t40 @t148)) @t152)) @t149 @t141 @t123 @t80 @t46 (not (tptp.cyclefreeP @t152)) @t153))) % 14.12/14.34 (assume @p183 @t157) % 14.12/14.34 (assume @p184 (tptp.ssList tptp.sk2)) % 14.12/14.34 (assume @p185 (tptp.ssList tptp.sk3)) % 14.12/14.34 (assume @p186 @t158) % 14.12/14.34 (assume @p187 @t159) % 14.12/14.34 (assume @p188 @t160) % 14.12/14.34 (assume @p189 (or @t162 @t161)) % 14.12/14.34 (assume @p190 (or @t162 @t163)) % 14.12/14.34 (assume @p191 @t166) % 14.12/14.34 (assume @p192 (or @t167 @t161)) % 14.12/14.34 (assume @p193 (forall @t173 (or @t172 @t171 @t170 @t169 @t161))) % 14.12/14.34 (assume @p194 (or @t165 @t163)) % 14.12/14.34 (assume @p195 (or @t167 @t163)) % 14.12/14.34 (assume @p196 (forall @t173 (or @t172 @t171 @t170 @t169 @t163))) % 14.12/14.34 (assume @p197 (or @t175 @t174)) % 14.12/14.34 (assume @p198 (or @t175 @t179 @t177)) % 14.12/14.34 (assume @p199 (or @t181 @t174)) % 14.12/14.34 (assume @p200 (or @t181 @t179 @t177)) % 14.12/14.34 (step @p201 :rule eq-symm :args (@t137 @t2)) % 14.12/14.34 (step @p202 :rule refl :args (@t47)) % 14.12/14.34 (step @p203 :rule refl :args (@t80)) % 14.12/14.34 (step @p204 :rule refl :args (@t129)) % 14.12/14.34 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202 @p201) :args (@t138)) % 14.12/14.34 (step @p206 :rule cong :premises (@p205) :args (@t139)) % 14.12/14.34 (step @p207 :rule eq_resolve :premises (@p166 @p206)) % 14.12/14.34 (step @p208 :rule instantiate :premises (@p207) :args (@t182)) % 14.12/14.34 (assume-push @p629 @t160) % 14.12/14.34 (assume-push @p630 @t163) % 14.12/14.34 (assume-push @p631 @t160) % 14.12/14.34 (assume-push @p632 @t163) % 14.12/14.34 (step @p213 :rule symm :premises (@p188)) % 14.12/14.34 (step @p214 :rule trans :premises (@p630 @p213)) % 14.12/14.34 (step-pop @p633 :rule scope :premises (@p214)) % 14.12/14.34 (step-pop @p634 :rule scope :premises (@p633)) % 14.12/14.34 (step @p215 :rule process_scope :premises (@p634) :args (@t180)) % 14.12/14.34 (step @p218 :rule and_intro :premises (@p188 @p630)) % 14.12/14.34 (step @p219 :rule modus_ponens :premises (@p218 @p215)) % 14.12/14.34 (step-pop @p635 :rule scope :premises (@p219)) % 14.12/14.34 (step-pop @p636 :rule scope :premises (@p635)) % 14.12/14.34 (step @p220 :rule process_scope :premises (@p636) :args (@t180)) % 14.12/14.34 (step @p223 :rule implies_elim :premises (@p220)) % 14.12/14.34 (step @p224 :rule cnf_and_neg :args (@t183)) % 14.12/14.34 (step @p225 :rule resolution :premises (@p224 @p223) :args (true @t183)) % 14.12/14.34 (step @p226 :rule reordering :premises (@p225) :args ((or @t180 @t185 @t184))) % 14.12/14.34 (step @p227 :rule aci_norm :args ((= (or false @t186 @t62 @t62) (or @t186 @t62)))) % 14.12/14.34 (step @p228 :rule refl :args (@t62)) % 14.12/14.34 (step @p229 :rule refl :args (@t186)) % 14.12/14.34 (step @p230 :rule evaluate :args ((not true))) % 14.12/14.34 (step @p231 :rule eq-refl :args (@t40)) % 14.12/14.34 (step @p232 :rule cong :premises (@p231) :args (@t187)) % 14.12/14.34 (step @p233 :rule trans :premises (@p232 @p230)) % 14.12/14.34 (step @p234 :rule nary_cong :premises (@p233 @p229 @p228 @p228) :args (@t188)) % 14.12/14.34 (step @p235 :rule trans :premises (@p234 @p227)) % 14.12/14.34 (step @p236 :rule cong :premises (@p235) :args ((forall @t189 @t188))) % 14.12/14.34 (step @p237 :rule quant-var-elim-eq :args ((= (forall @t4 @t190) @t188))) % 14.12/14.34 (step @p238 :rule aci_norm :args ((= @t95 @t190))) % 14.12/14.34 (step @p239 :rule cong :premises (@p238) :args (@t191)) % 14.12/14.34 (step @p240 :rule trans :premises (@p239 @p237)) % 14.12/14.34 (step @p241 :rule cong :premises (@p240) :args (@t192)) % 14.12/14.34 (step @p242 :rule quant-merge-prenex :args ((= @t192 @t193))) % 14.12/14.34 (step @p243 :rule symm :premises (@p242)) % 14.12/14.34 (step @p244 :rule quant_var_reordering :args ((= @t96 @t193))) % 14.12/14.34 (step @p245 :rule trans :premises (@p244 @p243 @p241)) % 14.12/14.34 (step @p246 :rule trans :premises (@p245 @p236)) % 14.12/14.34 (step @p247 :rule eq_resolve :premises (@p113 @p246)) % 14.12/14.34 (step @p248 :rule instantiate :premises (@p247) :args (@t194)) % 14.12/14.34 (step @p249 :rule cnf_or_pos :args (@t198)) % 14.12/14.34 (step @p250 :rule reordering :premises (@p249) :args ((or @t195 @t197 (not @t198)))) % 14.12/14.34 (step @p251 :rule chain_m_resolution :premises (@p250 @p183 @p248) :args (@t197 @t199 (@list @t157 @t198))) % 14.12/14.34 (step @p252 :rule refl :args (@t200)) % 14.12/14.34 (step @p253 :rule bool-double-not-elim :args (@t196)) % 14.12/14.34 (step @p254 :rule refl :args (@t184)) % 14.12/14.34 (step @p255 :rule refl :args (@t201)) % 14.12/14.34 (step @p256 :rule refl :args (@t185)) % 14.12/14.34 (step @p257 :rule refl :args (@t202)) % 14.12/14.34 (step @p258 :rule nary_cong :premises (@p257 @p256 @p255 @p254 @p253 @p252) :args ((or @t202 @t185 @t201 @t184 (not @t197) @t200))) % 14.12/14.34 (assume-push @p637 @t159) % 14.12/14.34 (assume-push @p638 @t160) % 14.12/14.34 (assume-push @p639 @t161) % 14.12/14.34 (assume-push @p640 @t163) % 14.12/14.34 (assume-push @p641 @t197) % 14.12/14.34 (assume-push @p642 @t197) % 14.12/14.34 (assume-push @p643 @t160) % 14.12/14.34 (assume-push @p644 @t163) % 14.12/14.34 (assume-push @p645 @t161) % 14.12/14.34 (assume-push @p646 @t159) % 14.12/14.34 (step @p269 :rule false_intro :premises (@p251)) % 14.12/14.34 (step @p213 :rule symm :premises (@p188)) % 14.12/14.34 (step @p270 :rule trans :premises (@p640 @p213)) % 14.12/14.34 (step @p271 :rule refl :args (tptp.sk1)) % 14.12/14.34 (step @p272 :rule cong :premises (@p271 @p270) :args (@t178)) % 14.12/14.34 (step @p273 :rule refl :args (tptp.nil)) % 14.12/14.34 (step @p274 :rule symm :premises (@p639)) % 14.12/14.34 (step @p275 :rule trans :premises (@p187 @p274 @p640 @p213)) % 14.12/14.34 (step @p276 :rule cong :premises (@p275 @p273) :args (@t174)) % 14.12/14.34 (step @p277 :rule trans :premises (@p276 @p272 @p269)) % 14.12/14.34 (step @p278 :rule false_elim :premises (@p277)) % 14.12/14.34 (step-pop @p647 :rule scope :premises (@p278)) % 14.12/14.34 (step-pop @p648 :rule scope :premises (@p647)) % 14.12/14.34 (step-pop @p649 :rule scope :premises (@p648)) % 14.12/14.34 (step-pop @p650 :rule scope :premises (@p649)) % 14.12/14.34 (step-pop @p651 :rule scope :premises (@p650)) % 14.12/14.34 (step @p279 :rule process_scope :premises (@p651) :args (@t200)) % 14.12/14.34 (step @p285 :rule and_intro :premises (@p251 @p188 @p640 @p639 @p187)) % 14.12/14.34 (step @p286 :rule modus_ponens :premises (@p285 @p279)) % 14.12/14.34 (step-pop @p652 :rule scope :premises (@p286)) % 14.12/14.34 (step-pop @p653 :rule scope :premises (@p652)) % 14.12/14.34 (step-pop @p654 :rule scope :premises (@p653)) % 14.12/14.34 (step-pop @p655 :rule scope :premises (@p654)) % 14.12/14.34 (step-pop @p656 :rule scope :premises (@p655)) % 14.12/14.34 (step @p287 :rule process_scope :premises (@p656) :args (@t200)) % 14.12/14.34 (step @p293 :rule implies_elim :premises (@p287)) % 14.12/14.34 (step @p294 :rule cnf_and_neg :args (@t203)) % 14.12/14.34 (step @p295 :rule resolution :premises (@p294 @p293) :args (true @t203)) % 14.12/14.34 (step @p296 :rule eq_resolve :premises (@p295 @p258)) % 14.12/14.34 (step @p297 :rule reordering :premises (@p296) :args ((or @t202 @t185 @t201 @t184 @t200 @t196))) % 14.12/14.34 (step @p298 :rule reordering :premises (@p199) :args ((or @t174 @t181))) % 14.12/14.34 (step @p299 :rule chain_m_resolution :premises (@p298 @p297 @p251 @p188 @p187 @p226 @p188) :args ((or @t201 @t184) (@list true true false false false false) (@list @t174 @t196 @t160 @t159 @t180 @t160))) % 14.12/14.34 (step @p300 :rule reordering :premises (@p195) :args ((or @t163 @t167))) % 14.12/14.34 (step @p301 :rule instantiate :premises (@p71) :args ((@list tptp.sk5))) % 14.12/14.34 (step @p302 :rule cnf_or_pos :args (@t207)) % 14.12/14.34 (step @p303 :rule reordering :premises (@p302) :args ((or @t204 @t206 (not @t207)))) % 14.12/14.34 (assume-push @p657 @t161) % 14.12/14.34 (assume-push @p658 @t167) % 14.12/14.34 (assume-push @p659 @t167) % 14.12/14.34 (assume-push @p660 @t161) % 14.12/14.34 (step @p308 :rule true_intro :premises (@p658)) % 14.12/14.34 (step @p309 :rule refl :args (tptp.sk5)) % 14.12/14.34 (step @p310 :rule cong :premises (@p657 @p309) :args (@t205)) % 14.12/14.34 (step @p311 :rule trans :premises (@p310 @p308)) % 14.12/14.34 (step @p312 :rule true_elim :premises (@p311)) % 14.12/14.34 (step-pop @p661 :rule scope :premises (@p312)) % 14.12/14.34 (step-pop @p662 :rule scope :premises (@p661)) % 14.12/14.34 (step @p313 :rule process_scope :premises (@p662) :args (@t205)) % 14.12/14.34 (step @p316 :rule and_intro :premises (@p658 @p657)) % 14.12/14.34 (step @p317 :rule modus_ponens :premises (@p316 @p313)) % 14.12/14.34 (step-pop @p663 :rule scope :premises (@p317)) % 14.12/14.34 (step-pop @p664 :rule scope :premises (@p663)) % 14.12/14.34 (step @p318 :rule process_scope :premises (@p664) :args (@t205)) % 14.12/14.34 (step @p321 :rule implies_elim :premises (@p318)) % 14.12/14.34 (step @p322 :rule cnf_and_neg :args (@t208)) % 14.12/14.34 (step @p323 :rule resolution :premises (@p322 @p321) :args (true @t208)) % 14.12/14.34 (step @p324 :rule chain_m_resolution :premises (@p323 @p303 @p301 @p300 @p190 @p299) :args (@t201 (@list true false false false true) (@list @t205 @t207 @t167 @t162 @t163))) % 14.12/14.34 (step @p325 :rule reordering :premises (@p192) :args ((or @t161 @t167))) % 14.12/14.34 (step @p326 :rule chain_m_resolution :premises (@p325 @p324) :args (@t167 @t209 @t210)) % 14.12/14.34 (step @p327 :rule chain_m_resolution :premises (@p189 @p324) :args (@t162 @t209 @t210)) % 14.12/14.34 (step @p328 :rule cnf_or_pos :args (@t218)) % 14.12/14.34 (step @p329 :rule reordering :premises (@p328) :args ((or @t216 @t204 @t217 @t215 (not @t218)))) % 14.12/14.34 (step @p330 :rule chain_m_resolution 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(@t237)) % 14.12/14.34 (step @p399 :rule and_intro :premises (@p382 @p188 @p678)) % 14.12/14.34 (step @p400 :rule modus_ponens :premises (@p399 @p395)) % 14.12/14.34 (step-pop @p686 :rule scope :premises (@p400)) % 14.12/14.34 (step-pop @p687 :rule scope :premises (@p686)) % 14.12/14.34 (step-pop @p688 :rule scope :premises (@p687)) % 14.12/14.34 (step @p401 :rule process_scope :premises (@p688) :args (@t237)) % 14.12/14.34 (step @p405 :rule implies_elim :premises (@p401)) % 14.12/14.34 (step @p406 :rule cnf_and_neg :args (@t238)) % 14.12/14.34 (step @p407 :rule resolution :premises (@p406 @p405) :args (true @t238)) % 14.12/14.34 (step @p408 :rule chain_m_resolution :premises (@p407 @p188 @p348 @p382) :args (@t237 @t225 (@list @t160 @t226 @t235))) % 14.12/14.34 (step @p409 :rule cnf_or_pos :args (@t241)) % 14.12/14.34 (step @p410 :rule reordering :premises (@p409) :args ((or @t195 @t233 @t223 @t232 @t240 @t239 (not @t241)))) % 14.12/14.34 (step @p411 :rule chain_m_resolution :premises 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:args (@t244)) % 14.12/14.34 (step @p424 :rule cnf_or_pos :args (@t249)) % 14.12/14.34 (step @p425 :rule reordering :premises (@p424) :args ((or @t204 @t248 @t246 (not @t249)))) % 14.12/14.34 (step @p426 :rule chain_m_resolution :premises (@p425 @p327 @p423 @p422) :args (@t246 @t225 (@list @t162 @t247 @t249))) % 14.12/14.34 (step @p427 :rule eq-symm :args (@t63 @t40)) % 14.12/14.34 (step @p428 :rule cong :premises (@p427) :args (@t73)) % 14.12/14.34 (step @p429 :rule nary_cong :premises (@p428 @p332 @p228) :args (@t74)) % 14.12/14.34 (step @p430 :rule cong :premises (@p429) :args (@t75)) % 14.12/14.34 (step @p431 :rule eq_resolve :premises (@p97 @p430)) % 14.12/14.34 (step @p432 :rule instantiate :premises (@p431) :args (@t243)) % 14.12/14.34 (step @p433 :rule cnf_or_pos :args (@t252)) % 14.12/14.34 (step @p434 :rule reordering :premises (@p433) :args ((or @t204 @t248 @t251 (not @t252)))) % 14.12/14.34 (step @p435 :rule chain_m_resolution :premises (@p434 @p327 @p423 @p432) :args (@t251 @t225 (@list @t162 @t247 @t252))) % 14.12/14.34 (step @p436 :rule instantiate :premises (@p335) :args (@t243)) % 14.12/14.34 (step @p437 :rule cnf_or_pos :args (@t254)) % 14.12/14.34 (step @p438 :rule reordering :premises (@p437) :args ((or @t204 @t248 @t253 (not @t254)))) % 14.12/14.34 (step @p439 :rule chain_m_resolution :premises (@p438 @p327 @p423 @p436) :args (@t253 @t225 (@list @t162 @t247 @t254))) % 14.12/14.34 (step @p440 :rule eq-symm :args (@t51 @t2)) % 14.12/14.34 (step @p441 :rule nary_cong :premises (@p202 @p440) :args (@t52)) % 14.12/14.34 (step @p442 :rule cong :premises (@p441) :args (@t53)) % 14.12/14.34 (step @p443 :rule eq_resolve :premises (@p74 @p442)) % 14.12/14.34 (step @p444 :rule instantiate :premises (@p443) :args ((@list @t255))) % 14.12/14.34 (step @p445 :rule instantiate :premises (@p51) :args (@t256)) % 14.12/14.34 (step @p446 :rule cnf_or_pos :args (@t261)) % 14.12/14.34 (step @p447 :rule reordering :premises (@p446) :args ((or @t260 @t258 (not @t261)))) % 14.12/14.34 (step @p448 :rule chain_m_resolution :premises (@p447 @p445 @p444) :args (@t258 @t199 (@list @t259 @t261))) % 14.12/14.34 (step @p449 :rule eq-symm :args (@t115 @t2)) % 14.12/14.34 (step @p450 :rule refl :args (@t113)) % 14.12/14.34 (step @p451 :rule nary_cong :premises (@p450 @p228 @p202 @p449) :args (@t116)) % 14.12/14.34 (step @p452 :rule cong :premises (@p451) :args (@t117)) % 14.12/14.34 (step @p453 :rule eq_resolve :premises (@p129 @p452)) % 14.12/14.34 (step @p454 :rule instantiate :premises (@p453) :args (@t244)) % 14.12/14.34 (step @p455 :rule instantiate :premises (@p61) :args (@t194)) % 14.12/14.34 (step @p456 :rule cnf_or_pos :args (@t263)) % 14.12/14.34 (step @p457 :rule reordering :premises (@p456) :args ((or @t195 @t262 (not @t263)))) % 14.12/14.34 (step @p458 :rule chain_m_resolution :premises (@p457 @p183 @p455) :args (@t262 @t199 (@list @t157 @t263))) % 14.12/14.34 (step @p459 :rule cnf_or_pos :args (@t267)) % 14.12/14.34 (step @p460 :rule 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@t268 @t273))) % 14.12/14.34 (step @p471 :rule instantiate :premises (@p421) :args ((@list tptp.sk5 tptp.nil))) % 14.12/14.34 (step @p472 :rule cnf_or_pos :args (@t276)) % 14.12/14.34 (step @p473 :rule reordering :premises (@p472) :args ((or @t271 @t204 @t275 (not @t276)))) % 14.12/14.34 (step @p474 :rule chain_m_resolution :premises (@p473 @p8 @p327 @p471) :args (@t275 @t225 (@list @t1 @t162 @t276))) % 14.12/14.34 (step @p475 :rule refl :args (@t181)) % 14.12/14.34 (step @p476 :rule bool-double-not-elim :args (@t250)) % 14.12/14.34 (step @p477 :rule refl :args (@t277)) % 14.12/14.34 (step @p478 :rule refl :args (@t278)) % 14.12/14.34 (step @p479 :rule refl :args (@t279)) % 14.12/14.34 (step @p480 :rule refl :args (@t280)) % 14.12/14.34 (step @p481 :rule refl :args (@t281)) % 14.12/14.34 (step @p482 :rule refl :args (@t282)) % 14.12/14.34 (step @p483 :rule refl :args (@t283)) % 14.12/14.34 (step @p484 :rule nary_cong :premises (@p256 @p483 @p482 @p481 @p480 @p479 @p478 @p477 @p476 @p475) :args ((or @t185 @t283 @t282 @t281 @t280 @t279 @t278 @t277 (not @t251) @t181))) % 14.12/14.34 (assume-push @p689 @t160) % 14.12/14.34 (assume-push @p690 @t226) % 14.12/14.34 (assume-push @p691 @t275) % 14.12/14.34 (assume-push @p692 @t270) % 14.12/14.34 (assume-push @p693 @t265) % 14.12/14.34 (assume-push @p694 @t258) % 14.12/14.34 (assume-push @p695 @t253) % 14.12/14.34 (assume-push @p696 @t246) % 14.12/14.34 (assume-push @p697 @t251) % 14.12/14.34 (assume-push @p698 @t285) % 14.12/14.34 (assume-push @p699 @t258) % 14.12/14.34 (assume-push @p700 @t270) % 14.12/14.34 (step @p497 :rule false_intro :premises (@p698)) % 14.12/14.34 (step @p498 :rule symm :premises (@p448)) % 14.12/14.34 (step @p499 :rule trans :premises (@p470 @p498)) % 14.12/14.34 (step @p273 :rule refl :args (tptp.nil)) % 14.12/14.34 (step @p500 :rule cong :premises (@p273 @p499) :args (@t180)) % 14.12/14.34 (step @p501 :rule trans :premises (@p500 @p497)) % 14.12/14.34 (step @p502 :rule false_elim :premises 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(step @p520 :rule cong :premises (@p519 @p518) :args (@t264)) % 14.12/14.34 (step @p521 :rule trans :premises (@p462 @p520 @p517)) % 14.12/14.34 (step @p522 :rule symm :premises (@p521)) % 14.12/14.34 (step @p523 :rule trans :premises (@p522 @p499)) % 14.12/14.34 (step @p524 :rule symm :premises (@p523)) % 14.12/14.34 (step @p525 :rule symm :premises (@p696)) % 14.12/14.34 (step @p526 :rule cong :premises (@p521) :args ((tptp.tl tptp.sk1))) % 14.12/14.34 (step @p527 :rule symm :premises (@p519)) % 14.12/14.34 (step @p528 :rule cong :premises (@p527) :args (@t274)) % 14.12/14.34 (step @p529 :rule trans :premises (@p691 @p528 @p526 @p525)) % 14.12/14.34 (step @p530 :rule cong :premises (@p529 @p524) :args (@t284)) % 14.12/14.34 (step @p531 :rule trans :premises (@p530 @p516)) % 14.12/14.34 (step @p532 :rule false_elim :premises (@p531)) % 14.12/14.34 (step-pop @p713 :rule scope :premises (@p532)) % 14.12/14.34 (step-pop @p714 :rule scope :premises (@p713)) % 14.12/14.34 (step-pop @p715 :rule scope :premises (@p714)) % 14.12/14.34 (step-pop @p716 :rule scope :premises (@p715)) % 14.12/14.34 (step-pop @p717 :rule scope :premises (@p716)) % 14.12/14.34 (step-pop @p718 :rule scope :premises (@p717)) % 14.12/14.34 (step-pop @p719 :rule scope :premises (@p718)) % 14.12/14.34 (step-pop @p720 :rule scope :premises (@p719)) % 14.12/14.34 (step-pop @p721 :rule scope :premises (@p720)) % 14.12/14.34 (step @p533 :rule process_scope :premises (@p721) :args (@t285)) % 14.12/14.34 (step @p543 :rule and_intro :premises (@p697 @p696 @p695 @p690 @p188 @p462 @p691 @p470 @p448)) % 14.12/14.34 (step @p544 :rule modus_ponens :premises (@p543 @p533)) % 14.12/14.34 (step @p545 :rule and_intro :premises (@p544 @p448 @p470)) % 14.12/14.34 (step @p546 :rule modus_ponens :premises (@p545 @p503)) % 14.12/14.34 (step-pop @p722 :rule scope :premises (@p546)) % 14.12/14.34 (step-pop @p723 :rule scope :premises (@p722)) % 14.12/14.34 (step-pop @p724 :rule scope :premises (@p723)) % 14.12/14.34 (step-pop @p725 :rule scope :premises (@p724)) % 14.12/14.34 (step-pop @p726 :rule scope :premises (@p725)) % 14.12/14.34 (step-pop @p727 :rule scope :premises (@p726)) % 14.12/14.34 (step-pop @p728 :rule scope :premises (@p727)) % 14.12/14.34 (step-pop @p729 :rule scope :premises (@p728)) % 14.12/14.34 (step-pop @p730 :rule scope :premises (@p729)) % 14.12/14.34 (step @p547 :rule process_scope :premises (@p730) :args (@t181)) % 14.12/14.34 (step @p557 :rule implies_elim :premises (@p547)) % 14.12/14.34 (step @p558 :rule cnf_and_neg :args (@t286)) % 14.12/14.34 (step @p559 :rule resolution :premises (@p558 @p557) :args (true @t286)) % 14.12/14.34 (step @p560 :rule eq_resolve :premises (@p559 @p484)) % 14.12/14.34 (step @p561 :rule reordering :premises (@p560) :args ((or @t181 @t185 @t283 @t282 @t281 @t280 @t279 @t278 @t250 @t277))) % 14.12/14.34 (step @p562 :rule chain_m_resolution :premises (@p561 @p188 @p348 @p474 @p470 @p462 @p448 @p439 @p435 @p426) :args (@t181 (@list false false false false false false false true false) (@list @t160 @t226 @t275 @t270 @t265 @t258 @t253 @t250 @t246))) % 14.12/14.34 (step @p563 :rule cnf_or_pos :args (@t287)) % 14.12/14.34 (step @p564 :rule reordering :premises (@p563) :args ((or @t178 @t180 @t271 @t195 (not @t287)))) % 14.12/14.34 (step @p565 :rule chain_m_resolution :premises (@p564 @p562 @p8 @p183 @p417) :args (@t178 (@list true false false false) (@list @t180 @t1 @t157 @t287))) % 14.12/14.34 (step @p566 :rule refl :args (@t288)) % 14.12/14.34 (step @p567 :rule bool-double-not-elim :args (@t161)) % 14.12/14.34 (step @p568 :rule nary_cong :premises (@p257 @p567 @p566) :args ((or @t202 (not @t201) @t288))) % 14.12/14.34 (assume-push @p731 @t159) % 14.12/14.34 (assume-push @p732 @t201) % 14.12/14.34 (assume-push @p733 @t201) % 14.12/14.34 (assume-push @p734 @t159) % 14.12/14.34 (step @p573 :rule false_intro :premises (@p732)) % 14.12/14.34 (step @p273 :rule refl :args (tptp.nil)) % 14.12/14.34 (step @p574 :rule cong :premises (@p273 @p187) :args (@t175)) % 14.12/14.34 (step @p575 :rule trans :premises (@p574 @p573)) % 14.12/14.34 (step @p576 :rule false_elim :premises (@p575)) % 14.12/14.34 (step-pop @p735 :rule scope :premises (@p576)) % 14.12/14.34 (step-pop @p736 :rule scope :premises (@p735)) % 14.12/14.34 (step @p577 :rule process_scope :premises (@p736) :args (@t288)) % 14.12/14.34 (step @p580 :rule and_intro :premises (@p732 @p187)) % 14.12/14.34 (step @p581 :rule modus_ponens :premises (@p580 @p577)) % 14.12/14.34 (step-pop @p737 :rule scope :premises (@p581)) % 14.12/14.34 (step-pop @p738 :rule scope :premises (@p737)) % 14.12/14.34 (step @p582 :rule process_scope :premises (@p738) :args (@t288)) % 14.12/14.34 (step @p585 :rule implies_elim :premises (@p582)) % 14.12/14.34 (step @p586 :rule cnf_and_neg :args (@t289)) % 14.12/14.34 (step @p587 :rule resolution :premises (@p586 @p585) :args (true @t289)) % 14.12/14.34 (step @p588 :rule eq_resolve :premises (@p587 @p568)) % 14.12/14.34 (step @p589 :rule reordering :premises (@p588) :args ((or @t161 @t202 @t288))) % 14.12/14.34 (step @p590 :rule chain_m_resolution :premises (@p589 @p324 @p187) :args (@t288 @t290 (@list @t161 @t159))) % 14.12/14.34 (step @p591 :rule chain_m_resolution :premises (@p198 @p590 @p565) :args (@t177 @t290 (@list @t175 @t178))) % 14.12/14.34 (assume-push @p739 @t159) % 14.12/14.34 (assume-push @p740 @t215) % 14.12/14.34 (assume-push @p741 @t221) % 14.12/14.34 (assume-push @p742 @t230) % 14.12/14.34 (assume-push @p743 @t239) % 14.12/14.34 (assume-push @p744 @t239) % 14.12/14.34 (assume-push @p745 @t230) % 14.12/14.34 (assume-push @p746 @t221) % 14.12/14.34 (assume-push @p747 @t215) % 14.12/14.34 (assume-push @p748 @t159) % 14.12/14.34 (step @p602 :rule true_intro :premises (@p743)) % 14.12/14.34 (step @p271 :rule refl :args (tptp.sk1)) % 14.12/14.34 (step @p603 :rule symm :premises (@p742)) % 14.12/14.34 (step @p604 :rule refl :args (@t213)) % 14.12/14.34 (step @p605 :rule cong :premises (@p604 @p741) :args (@t214)) % 14.12/14.34 (step @p606 :rule trans :premises (@p187 @p740 @p605 @p603)) % 14.12/14.34 (step @p607 :rule cong :premises (@p606 @p271) :args (@t176)) % 14.12/14.34 (step @p608 :rule trans :premises (@p607 @p602)) % 14.12/14.34 (step @p609 :rule true_elim :premises (@p608)) % 14.12/14.34 (step-pop @p749 :rule scope :premises (@p609)) % 14.12/14.34 (step-pop @p750 :rule scope :premises (@p749)) % 14.12/14.34 (step-pop @p751 :rule scope :premises (@p750)) % 14.12/14.34 (step-pop @p752 :rule scope :premises (@p751)) % 14.12/14.34 (step-pop @p753 :rule scope :premises (@p752)) % 14.12/14.34 (step @p610 :rule process_scope :premises (@p753) :args (@t176)) % 14.12/14.34 (step @p616 :rule and_intro :premises (@p743 @p742 @p741 @p740 @p187)) % 14.12/14.34 (step @p617 :rule modus_ponens :premises (@p616 @p610)) % 14.12/14.34 (step-pop @p754 :rule scope :premises (@p617)) % 14.12/14.34 (step-pop @p755 :rule scope :premises (@p754)) % 14.12/14.34 (step-pop @p756 :rule scope :premises (@p755)) % 14.12/14.34 (step-pop @p757 :rule scope :premises (@p756)) % 14.12/14.34 (step-pop @p758 :rule scope :premises (@p757)) % 14.12/14.34 (step @p618 :rule process_scope :premises (@p758) :args (@t176)) % 14.12/14.34 (step @p624 :rule implies_elim :premises (@p618)) % 14.12/14.34 (step @p625 :rule cnf_and_neg :args (@t291)) % 14.12/14.34 (step @p626 :rule resolution :premises (@p625 @p624) :args (true @t291)) % 14.12/14.34 (step @p627 :rule reordering :premises (@p626) :args ((or @t176 @t202 (not @t215) (not @t221) (not @t230) (not @t239)))) % 14.12/14.34 (step @p628 false :rule chain_m_resolution :premises (@p627 @p591 @p411 @p377 @p340 @p330 @p187) :args (false (@list true false false false false false) (@list @t176 @t239 @t230 @t221 @t215 @t159))) % 14.12/14.34 ) % 14.12/14.39 % SZS output end Proof % 14.12/14.39 % cvc5 exiting %------------------------------------------------------------------------------