0.06/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.14/0.34	% Computer : n021.cluster.edu
0.14/0.34	% Model    : x86_64 x86_64
0.14/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory   : 8042.1875MB
0.14/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit : 1440
0.14/0.34	% WCLimit  : 180
0.14/0.34	% DateTime : Mon Jul  3 03:38:52 EDT 2023
0.14/0.34	% CPUTime  : 
0.14/0.35	
0.14/0.35	 No.of.Axioms: 0
0.14/0.35	
0.14/0.35	 Length.of.Defs: 0
0.14/0.35	
0.14/0.35	 Contains.Choice.Funs: true
0.14/0.35	(rf:0,axioms:0,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).......
0.20/0.48	
0.20/0.48	********************************
0.20/0.48	*   All subproblems solved!    *
0.20/0.48	********************************
0.20/0.48	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:327,loop_count:20,foatp_calls:3,translation:fof_full)
0.39/0.58	
0.39/0.58	%**** Beginning of derivation protocol ****
0.39/0.58	% SZS output start CNFRefutation
0.39/0.58	 thf(tp_cF,type,(cF: ($o>$o))).
0.39/0.58	 thf(tp_cG,type,(cG: ($o>$o))).
0.39/0.58	 thf(tp_cP,type,(cP: (($o>$o)>$o))).
0.39/0.58	 thf(tp_sK1_E,type,(sK1_E: $o)).
0.39/0.58	 thf(tp_sK2_E,type,(sK2_E: $o)).
0.39/0.58	 thf(tp_sK3_E,type,(sK3_E: $o)).
0.39/0.58	 thf(tp_sK4_E,type,(sK4_E: $o)).
0.39/0.58	 thf(tp_sK5_E,type,(sK5_E: $o)).
0.39/0.58	 thf(tp_sK6_E,type,(sK6_E: $o)).
0.39/0.58	 thf(1,conjecture,(((cP@(^[Xx:$o]: ((cG@Xx) | (cF@Xx)))) | (cP@(^[Xx:$o]: ((~ (cF@Xx)) | (cG@Xx))))) <= ((cP@cG) & (cP@cF))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM627)).
0.39/0.58	 thf(2,negated_conjecture,(((((cP@(^[Xx:$o]: ((cG@Xx) | (cF@Xx)))) | (cP@(^[Xx:$o]: ((~ (cF@Xx)) | (cG@Xx))))) <= ((cP@cG) & (cP@cF)))=$false)),inference(negate_conjecture,[status(cth)],[1])).
0.39/0.58	 thf(3,plain,(((~ (((cP@(^[Xx:$o]: ((cG@Xx) | (cF@Xx)))) | (cP@(^[Xx:$o]: ((~ (cF@Xx)) | (cG@Xx))))) <= ((cP@cG) & (cP@cF))))=$true)),inference(polarity_switch,[status(thm)],[2])).
0.39/0.58	 thf(4,plain,(((((cP@cG) & (cP@cF)) & ((~ (cP@(^[Xx:$o]: ((cG@Xx) | (cF@Xx))))) & (~ (cP@(^[Xx:$o]: ((~ (cF@Xx)) | (cG@Xx)))))))=$true)),inference(extcnf_combined,[status(esa)],[3])).
0.39/0.58	 thf(5,plain,(((((cP@cG) & (cP@cF)) & ((~ (cP@(^[Xx:$o]: ((cG@Xx) | (cF@Xx))))) & (~ (cP@(^[Xx:$o]: ((~ (cF@Xx)) | (cG@Xx)))))))=$true)),inference(copy,[status(thm)],[4])).
0.39/0.58	 thf(6,plain,(((~ ((~ (~ ((~ (cP@cG)) | (~ (cP@cF))))) | (~ (~ ((~ (~ (cP@(^[SX0:$o]: ((cG@SX0) | (cF@SX0)))))) | (~ (~ (cP@(^[SX0:$o]: ((~ (cF@SX0)) | (cG@SX0)))))))))))=$true)),inference(unfold_def,[status(thm)],[5])).
0.39/0.58	 thf(7,plain,((((~ (~ ((~ (cP@cG)) | (~ (cP@cF))))) | (~ (~ ((~ (~ (cP@(^[SX0:$o]: ((cG@SX0) | (cF@SX0)))))) | (~ (~ (cP@(^[SX0:$o]: ((~ (cF@SX0)) | (cG@SX0))))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[6])).
0.39/0.58	 thf(8,plain,(((~ (~ ((~ (cP@cG)) | (~ (cP@cF)))))=$false)),inference(extcnf_or_neg,[status(thm)],[7])).
0.39/0.58	 thf(9,plain,(((~ (~ ((~ (~ (cP@(^[SX0:$o]: ((cG@SX0) | (cF@SX0)))))) | (~ (~ (cP@(^[SX0:$o]: ((~ (cF@SX0)) | (cG@SX0)))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[7])).
0.39/0.58	 thf(10,plain,(((~ ((~ (cP@cG)) | (~ (cP@cF))))=$true)),inference(extcnf_not_neg,[status(thm)],[8])).
0.39/0.58	 thf(11,plain,(((~ ((~ (~ (cP@(^[SX0:$o]: ((cG@SX0) | (cF@SX0)))))) | (~ (~ (cP@(^[SX0:$o]: ((~ (cF@SX0)) | (cG@SX0))))))))=$true)),inference(extcnf_not_neg,[status(thm)],[9])).
0.39/0.58	 thf(12,plain,((((~ (cP@cG)) | (~ (cP@cF)))=$false)),inference(extcnf_not_pos,[status(thm)],[10])).
0.39/0.58	 thf(13,plain,((((~ (~ (cP@(^[SX0:$o]: ((cG@SX0) | (cF@SX0)))))) | (~ (~ (cP@(^[SX0:$o]: ((~ (cF@SX0)) | (cG@SX0)))))))=$false)),inference(extcnf_not_pos,[status(thm)],[11])).
0.39/0.58	 thf(14,plain,(((~ (cP@cG))=$false)),inference(extcnf_or_neg,[status(thm)],[12])).
0.39/0.58	 thf(15,plain,(((~ (cP@cF))=$false)),inference(extcnf_or_neg,[status(thm)],[12])).
0.39/0.58	 thf(16,plain,(((~ (~ (cP@(^[SX0:$o]: ((cG@SX0) | (cF@SX0))))))=$false)),inference(extcnf_or_neg,[status(thm)],[13])).
0.39/0.58	 thf(17,plain,(((~ (~ (cP@(^[SX0:$o]: ((~ (cF@SX0)) | (cG@SX0))))))=$false)),inference(extcnf_or_neg,[status(thm)],[13])).
0.39/0.58	 thf(18,plain,(((cP@cG)=$true)),inference(extcnf_not_neg,[status(thm)],[14])).
0.39/0.58	 thf(19,plain,(((cP@cF)=$true)),inference(extcnf_not_neg,[status(thm)],[15])).
0.39/0.58	 thf(20,plain,(((~ (cP@(^[SX0:$o]: ((cG@SX0) | (cF@SX0)))))=$true)),inference(extcnf_not_neg,[status(thm)],[16])).
0.39/0.58	 thf(21,plain,(((~ (cP@(^[SX0:$o]: ((~ (cF@SX0)) | (cG@SX0)))))=$true)),inference(extcnf_not_neg,[status(thm)],[17])).
0.39/0.58	 thf(22,plain,(((cP@(^[SX0:$o]: ((cG@SX0) | (cF@SX0))))=$false)),inference(extcnf_not_pos,[status(thm)],[20])).
0.39/0.58	 thf(23,plain,(((cP@(^[SX0:$o]: ((~ (cF@SX0)) | (cG@SX0))))=$false)),inference(extcnf_not_pos,[status(thm)],[21])).
0.39/0.58	 thf(24,plain,((((cP@(^[SX0:$o]: ((cG@SX0) | (cF@SX0)))) = (cP@cF))=$false)),inference(res,[status(thm)],[22,19])).
0.39/0.58	 thf(25,plain,((((cP@(^[SX0:$o]: ((cG@SX0) | (cF@SX0)))) = (cP@cG))=$false)),inference(res,[status(thm)],[22,18])).
0.39/0.58	 thf(26,plain,((((cG@sK1_E) | (cF@sK1_E))=$true) | ((cG@sK1_E)=$true)),inference(extuni,[status(esa)],[25])).
0.39/0.58	 thf(27,plain,((((cG@sK1_E) | (cF@sK1_E))=$false) | ((cG@sK1_E)=$false)),inference(extuni,[status(esa)],[25])).
0.39/0.58	 thf(28,plain,((((cG@sK2_E) | (cF@sK2_E))=$true) | ((cF@sK2_E)=$true)),inference(extuni,[status(esa)],[24])).
0.39/0.58	 thf(29,plain,((((cG@sK2_E) | (cF@sK2_E))=$false) | ((cF@sK2_E)=$false)),inference(extuni,[status(esa)],[24])).
0.39/0.58	 thf(30,plain,(((cG@sK1_E)=$false) | ((cG@sK1_E)=$false)),inference(extcnf_or_neg,[status(thm)],[27])).
0.39/0.58	 thf(32,plain,(((cG@sK1_E)=$true) | ((cF@sK1_E)=$true) | ((cG@sK1_E)=$true)),inference(extcnf_or_pos,[status(thm)],[26])).
0.39/0.58	 thf(33,plain,(((cG@sK2_E)=$false) | ((cF@sK2_E)=$false)),inference(extcnf_or_neg,[status(thm)],[29])).
0.39/0.58	 thf(34,plain,(((cF@sK2_E)=$false) | ((cF@sK2_E)=$false)),inference(extcnf_or_neg,[status(thm)],[29])).
0.39/0.58	 thf(35,plain,(((cG@sK2_E)=$true) | ((cF@sK2_E)=$true) | ((cF@sK2_E)=$true)),inference(extcnf_or_pos,[status(thm)],[28])).
0.39/0.58	 thf(36,plain,(((cG@sK1_E)=$false)),inference(sim,[status(thm)],[30])).
0.39/0.58	 thf(37,plain,(((cG@sK1_E)=$true) | ((cF@sK1_E)=$true)),inference(sim,[status(thm)],[32])).
0.39/0.58	 thf(38,plain,(((cF@sK2_E)=$false)),inference(sim,[status(thm)],[34])).
0.39/0.58	 thf(39,plain,(((cG@sK2_E)=$true) | ((cF@sK2_E)=$true)),inference(sim,[status(thm)],[35])).
0.39/0.58	 thf(40,plain,((((cP@(^[SX0:$o]: ((~ (cF@SX0)) | (cG@SX0)))) = (cP@cF))=$false)),inference(res,[status(thm)],[23,19])).
0.39/0.58	 thf(41,plain,((((cP@(^[SX0:$o]: ((~ (cF@SX0)) | (cG@SX0)))) = (cP@cG))=$false)),inference(res,[status(thm)],[23,18])).
0.39/0.58	 thf(42,plain,((((~ (cF@sK5_E)) | (cG@sK5_E))=$true) | ((cG@sK5_E)=$true)),inference(extuni,[status(esa)],[41])).
0.39/0.58	 thf(43,plain,((((~ (cF@sK5_E)) | (cG@sK5_E))=$false) | ((cG@sK5_E)=$false)),inference(extuni,[status(esa)],[41])).
0.39/0.58	 thf(45,plain,((((~ (cF@sK6_E)) | (cG@sK6_E))=$false) | ((cF@sK6_E)=$false)),inference(extuni,[status(esa)],[40])).
0.39/0.58	 thf(46,plain,(((~ (cF@sK5_E))=$false) | ((cG@sK5_E)=$false)),inference(extcnf_or_neg,[status(thm)],[43])).
0.39/0.58	 thf(47,plain,(((cG@sK5_E)=$false) | ((cG@sK5_E)=$false)),inference(extcnf_or_neg,[status(thm)],[43])).
0.39/0.58	 thf(48,plain,(((~ (cF@sK5_E))=$true) | ((cG@sK5_E)=$true) | ((cG@sK5_E)=$true)),inference(extcnf_or_pos,[status(thm)],[42])).
0.39/0.58	 thf(50,plain,(((cG@sK6_E)=$false) | ((cF@sK6_E)=$false)),inference(extcnf_or_neg,[status(thm)],[45])).
0.39/0.58	 thf(52,plain,(((cF@sK5_E)=$true) | ((cG@sK5_E)=$false)),inference(extcnf_not_neg,[status(thm)],[46])).
0.39/0.58	 thf(53,plain,(((cF@sK5_E)=$false) | ((cG@sK5_E)=$true) | ((cG@sK5_E)=$true)),inference(extcnf_not_pos,[status(thm)],[48])).
0.39/0.58	 thf(56,plain,(((cG@sK5_E)=$false)),inference(sim,[status(thm)],[47])).
0.39/0.58	 thf(57,plain,(((cF@sK5_E)=$false) | ((cG@sK5_E)=$true)),inference(sim,[status(thm)],[53])).
0.39/0.58	 thf(71,plain,((((cG@sK1_E) = (cG@sK1_E))=$false) | ((cF@sK1_E)=$true)),inference(res,[status(thm)],[37,36])).
0.39/0.58	 thf(72,plain,((((cF@sK1_E) = (cF@sK2_E))=$false) | ((cG@sK1_E)=$true) | ((cG@sK2_E)=$false)),inference(res,[status(thm)],[37,33])).
0.39/0.58	 thf(83,plain,(((cG@sK2_E)=$false) | ((cG@sK1_E)=$true) | ((sK1_E)=$true) | ((sK2_E)=$true)),inference(extuni,[status(esa)],[72])).
0.39/0.58	 thf(84,plain,(((cG@sK2_E)=$false) | ((cG@sK1_E)=$true) | ((sK1_E)=$false) | ((sK2_E)=$false)),inference(extuni,[status(esa)],[72])).
0.39/0.58	 thf(85,plain,(((cF@sK1_E)=$true)),inference(extuni,[status(esa)],[71])).
0.39/0.58	 thf(86,plain,((((cF@sK2_E) = (cF@sK1_E))=$false) | ((cG@sK1_E)=$true)),inference(res,[status(thm)],[38,37])).
0.39/0.58	 thf(90,plain,(((cG@sK1_E)=$true) | ((sK2_E)=$true) | ((sK1_E)=$true)),inference(extuni,[status(esa)],[86])).
0.39/0.58	 thf(91,plain,(((cG@sK1_E)=$true) | ((sK2_E)=$false) | ((sK1_E)=$false)),inference(extuni,[status(esa)],[86])).
0.39/0.58	 thf(92,plain,((((cF@sK2_E) = (cF@sK2_E))=$false) | ((cG@sK2_E)=$true)),inference(res,[status(thm)],[39,38])).
0.39/0.58	 thf(95,plain,((((cG@sK2_E) = (cG@sK1_E))=$false) | ((cF@sK2_E)=$true)),inference(res,[status(thm)],[39,36])).
0.39/0.58	 thf(101,plain,(((cF@sK2_E)=$true) | ((sK2_E)=$true) | ((sK1_E)=$true)),inference(extuni,[status(esa)],[95])).
0.39/0.58	 thf(102,plain,(((cF@sK2_E)=$true) | ((sK2_E)=$false) | ((sK1_E)=$false)),inference(extuni,[status(esa)],[95])).
0.39/0.58	 thf(103,plain,(((cG@sK2_E)=$true)),inference(extuni,[status(esa)],[92])).
0.39/0.58	 thf(104,plain,((((cF@sK6_E) = (cF@sK2_E))=$false) | ((cG@sK6_E)=$false) | ((cG@sK2_E)=$true)),inference(res,[status(thm)],[50,39])).
0.39/0.58	 thf(107,plain,((((cG@sK6_E) = (cG@sK2_E))=$false) | ((cF@sK6_E)=$false) | ((cF@sK2_E)=$true)),inference(res,[status(thm)],[50,39])).
0.39/0.58	 thf(108,plain,((((cF@sK6_E) = (cF@sK1_E))=$false) | ((cG@sK6_E)=$false) | ((cG@sK1_E)=$true)),inference(res,[status(thm)],[50,37])).
0.39/0.58	 thf(111,plain,((((cG@sK6_E) = (cG@sK1_E))=$false) | ((cF@sK6_E)=$false) | ((cF@sK1_E)=$true)),inference(res,[status(thm)],[50,37])).
0.39/0.58	 thf(117,plain,(((cF@sK1_E)=$true) | ((cF@sK6_E)=$false) | ((sK6_E)=$true) | ((sK1_E)=$true)),inference(extuni,[status(esa)],[111])).
0.39/0.58	 thf(118,plain,(((cF@sK1_E)=$true) | ((cF@sK6_E)=$false) | ((sK6_E)=$false) | ((sK1_E)=$false)),inference(extuni,[status(esa)],[111])).
0.39/0.58	 thf(119,plain,(((cG@sK1_E)=$true) | ((cG@sK6_E)=$false) | ((sK6_E)=$true) | ((sK1_E)=$true)),inference(extuni,[status(esa)],[108])).
0.39/0.58	 thf(120,plain,(((cG@sK1_E)=$true) | ((cG@sK6_E)=$false) | ((sK6_E)=$false) | ((sK1_E)=$false)),inference(extuni,[status(esa)],[108])).
0.39/0.58	 thf(121,plain,(((cF@sK2_E)=$true) | ((cF@sK6_E)=$false) | ((sK6_E)=$true) | ((sK2_E)=$true)),inference(extuni,[status(esa)],[107])).
0.39/0.58	 thf(122,plain,(((cF@sK2_E)=$true) | ((cF@sK6_E)=$false) | ((sK6_E)=$false) | ((sK2_E)=$false)),inference(extuni,[status(esa)],[107])).
0.39/0.58	 thf(123,plain,(((cG@sK2_E)=$true) | ((cG@sK6_E)=$false) | ((sK6_E)=$true) | ((sK2_E)=$true)),inference(extuni,[status(esa)],[104])).
0.39/0.58	 thf(124,plain,(((cG@sK2_E)=$true) | ((cG@sK6_E)=$false) | ((sK6_E)=$false) | ((sK2_E)=$false)),inference(extuni,[status(esa)],[104])).
0.39/0.58	 thf(127,plain,((((cF@sK5_E) = (cF@sK6_E))=$false) | ((cG@sK5_E)=$false) | ((cG@sK6_E)=$false)),inference(res,[status(thm)],[52,50])).
0.39/0.58	 thf(130,plain,((((cG@sK5_E) = (cG@sK2_E))=$false) | ((cF@sK5_E)=$true) | ((cF@sK2_E)=$true)),inference(res,[status(thm)],[52,39])).
0.39/0.58	 thf(131,plain,((((cF@sK5_E) = (cF@sK2_E))=$false) | ((cG@sK5_E)=$false)),inference(res,[status(thm)],[52,38])).
0.39/0.58	 thf(133,plain,((((cG@sK5_E) = (cG@sK1_E))=$false) | ((cF@sK5_E)=$true) | ((cF@sK1_E)=$true)),inference(res,[status(thm)],[52,37])).
0.39/0.58	 thf(139,plain,(((cF@sK1_E)=$true) | ((cF@sK5_E)=$true) | ((sK5_E)=$true) | ((sK1_E)=$true)),inference(extuni,[status(esa)],[133])).
0.39/0.58	 thf(140,plain,(((cF@sK1_E)=$true) | ((cF@sK5_E)=$true) | ((sK5_E)=$false) | ((sK1_E)=$false)),inference(extuni,[status(esa)],[133])).
0.39/0.58	 thf(141,plain,(((cG@sK5_E)=$false) | ((sK5_E)=$true) | ((sK2_E)=$true)),inference(extuni,[status(esa)],[131])).
0.39/0.58	 thf(142,plain,(((cG@sK5_E)=$false) | ((sK5_E)=$false) | ((sK2_E)=$false)),inference(extuni,[status(esa)],[131])).
0.39/0.58	 thf(143,plain,(((cF@sK2_E)=$true) | ((cF@sK5_E)=$true) | ((sK5_E)=$true) | ((sK2_E)=$true)),inference(extuni,[status(esa)],[130])).
0.39/0.58	 thf(144,plain,(((cF@sK2_E)=$true) | ((cF@sK5_E)=$true) | ((sK5_E)=$false) | ((sK2_E)=$false)),inference(extuni,[status(esa)],[130])).
0.39/0.58	 thf(145,plain,(((cG@sK6_E)=$false) | ((cG@sK5_E)=$false) | ((sK5_E)=$true) | ((sK6_E)=$true)),inference(extuni,[status(esa)],[127])).
0.39/0.58	 thf(146,plain,(((cG@sK6_E)=$false) | ((cG@sK5_E)=$false) | ((sK5_E)=$false) | ((sK6_E)=$false)),inference(extuni,[status(esa)],[127])).
0.39/0.58	 thf(148,plain,((((cG@sK5_E) = (cG@sK2_E))=$false) | ((cF@sK2_E)=$true)),inference(res,[status(thm)],[56,39])).
0.39/0.58	 thf(150,plain,((((cG@sK5_E) = (cG@sK1_E))=$false) | ((cF@sK1_E)=$true)),inference(res,[status(thm)],[56,37])).
0.39/0.58	 thf(153,plain,(((cF@sK1_E)=$true) | ((sK5_E)=$true) | ((sK1_E)=$true)),inference(extuni,[status(esa)],[150])).
0.39/0.58	 thf(154,plain,(((cF@sK1_E)=$true) | ((sK5_E)=$false) | ((sK1_E)=$false)),inference(extuni,[status(esa)],[150])).
0.39/0.58	 thf(155,plain,(((cF@sK2_E)=$true) | ((sK5_E)=$true) | ((sK2_E)=$true)),inference(extuni,[status(esa)],[148])).
0.39/0.58	 thf(156,plain,(((cF@sK2_E)=$true) | ((sK5_E)=$false) | ((sK2_E)=$false)),inference(extuni,[status(esa)],[148])).
0.39/0.58	 thf(159,plain,((((cG@sK5_E) = (cG@sK5_E))=$false) | ((cF@sK5_E)=$false)),inference(res,[status(thm)],[57,56])).
0.39/0.58	 thf(161,plain,((((cG@sK5_E) = (cG@sK6_E))=$false) | ((cF@sK5_E)=$false) | ((cF@sK6_E)=$false)),inference(res,[status(thm)],[57,50])).
0.39/0.58	 thf(162,plain,((((cF@sK5_E) = (cF@sK2_E))=$false) | ((cG@sK5_E)=$true) | ((cG@sK2_E)=$true)),inference(res,[status(thm)],[57,39])).
0.39/0.58	 thf(165,plain,((((cF@sK5_E) = (cF@sK1_E))=$false) | ((cG@sK5_E)=$true) | ((cG@sK1_E)=$true)),inference(res,[status(thm)],[57,37])).
0.39/0.58	 thf(167,plain,((((cG@sK5_E) = (cG@sK1_E))=$false) | ((cF@sK5_E)=$false)),inference(res,[status(thm)],[57,36])).
0.39/0.58	 thf(172,plain,(((cF@sK5_E)=$false) | ((sK5_E)=$true) | ((sK1_E)=$true)),inference(extuni,[status(esa)],[167])).
0.39/0.58	 thf(173,plain,(((cF@sK5_E)=$false) | ((sK5_E)=$false) | ((sK1_E)=$false)),inference(extuni,[status(esa)],[167])).
0.39/0.58	 thf(174,plain,(((cG@sK1_E)=$true) | ((cG@sK5_E)=$true) | ((sK5_E)=$true) | ((sK1_E)=$true)),inference(extuni,[status(esa)],[165])).
0.39/0.58	 thf(175,plain,(((cG@sK1_E)=$true) | ((cG@sK5_E)=$true) | ((sK5_E)=$false) | ((sK1_E)=$false)),inference(extuni,[status(esa)],[165])).
0.39/0.58	 thf(176,plain,(((cG@sK2_E)=$true) | ((cG@sK5_E)=$true) | ((sK5_E)=$true) | ((sK2_E)=$true)),inference(extuni,[status(esa)],[162])).
0.39/0.58	 thf(177,plain,(((cG@sK2_E)=$true) | ((cG@sK5_E)=$true) | ((sK5_E)=$false) | ((sK2_E)=$false)),inference(extuni,[status(esa)],[162])).
0.39/0.58	 thf(178,plain,(((cF@sK6_E)=$false) | ((cF@sK5_E)=$false) | ((sK5_E)=$true) | ((sK6_E)=$true)),inference(extuni,[status(esa)],[161])).
0.39/0.58	 thf(179,plain,(((cF@sK6_E)=$false) | ((cF@sK5_E)=$false) | ((sK5_E)=$false) | ((sK6_E)=$false)),inference(extuni,[status(esa)],[161])).
0.39/0.58	 thf(180,plain,(((cF@sK5_E)=$false)),inference(extuni,[status(esa)],[159])).
0.39/0.58	 thf(183,plain,((((cG@sK2_E) = (cG@sK1_E))=$false) | ((cG@sK1_E)=$true) | ((sK1_E)=$true) | ((sK2_E)=$true) | ((cG@sK2_E)=$false) | ((sK1_E)=$true) | ((sK2_E)=$true)),inference(res,[status(thm)],[83,83])).
0.39/0.58	 thf(186,plain,((((cG@sK1_E) = (cG@sK2_E))=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$true) | ((sK2_E)=$true) | ((cG@sK1_E)=$true) | ((sK1_E)=$true) | ((sK2_E)=$true)),inference(res,[status(thm)],[83,83])).
0.39/0.58	 thf(187,plain,((((cG@sK2_E) = (cG@sK5_E))=$false) | ((cG@sK1_E)=$true) | ((sK1_E)=$true) | ((sK2_E)=$true) | ((cF@sK5_E)=$false)),inference(res,[status(thm)],[83,57])).
0.39/0.58	 thf(193,plain,((((cG@sK1_E) = (cG@sK5_E))=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$true) | ((sK2_E)=$true)),inference(res,[status(thm)],[83,56])).
0.39/0.58	 thf(199,plain,((((cG@sK1_E) = (cG@sK6_E))=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$true) | ((sK2_E)=$true) | ((cF@sK6_E)=$false)),inference(res,[status(thm)],[83,50])).
0.39/0.58	 thf(201,plain,((((cG@sK2_E) = (cG@sK2_E))=$false) | ((cG@sK1_E)=$true) | ((sK1_E)=$true) | ((sK2_E)=$true) | ((cF@sK2_E)=$true)),inference(res,[status(thm)],[83,39])).
0.39/0.58	 thf(206,plain,((((cG@sK2_E) = (cG@sK1_E))=$false) | ((cG@sK1_E)=$true) | ((sK1_E)=$true) | ((sK2_E)=$true) | ((cF@sK1_E)=$true)),inference(res,[status(thm)],[83,37])).
0.39/0.58	 thf(209,plain,((((cG@sK1_E) = (cG@sK1_E))=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$true) | ((sK2_E)=$true)),inference(res,[status(thm)],[83,36])).
0.39/0.58	 thf(218,plain,(((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK2_E)=$false)),inference(extuni,[status(esa)],[209])).
0.39/0.58	 thf(219,plain,(((cF@sK1_E)=$true) | ((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK1_E)=$true) | ((sK2_E)=$true) | ((sK1_E)=$true)),inference(extuni,[status(esa)],[206])).
0.39/0.58	 thf(221,plain,(((cF@sK2_E)=$true) | ((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK1_E)=$true)),inference(extuni,[status(esa)],[201])).
0.39/0.58	 thf(222,plain,(((cF@sK6_E)=$false) | ((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK2_E)=$false) | ((sK1_E)=$true) | ((sK6_E)=$true)),inference(extuni,[status(esa)],[199])).
0.39/0.58	 thf(224,plain,(((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK2_E)=$false) | ((sK1_E)=$true) | ((sK5_E)=$true)),inference(extuni,[status(esa)],[193])).
0.39/0.58	 thf(226,plain,(((cF@sK5_E)=$false) | ((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK1_E)=$true) | ((sK2_E)=$true) | ((sK5_E)=$true)),inference(extuni,[status(esa)],[187])).
0.39/0.58	 thf(228,plain,(((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK1_E)=$true) | ((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK2_E)=$false) | ((sK1_E)=$true) | ((sK2_E)=$true)),inference(extuni,[status(esa)],[186])).
0.39/0.58	 thf(230,plain,(((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK2_E)=$false) | ((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK1_E)=$true) | ((sK2_E)=$true) | ((sK1_E)=$true)),inference(extuni,[status(esa)],[183])).
0.39/0.58	 thf(232,plain,(((cF@sK1_E)=$true) | ((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK1_E)=$true)),inference(sim,[status(thm)],[219])).
0.39/0.58	 thf(233,plain,(((cF@sK6_E)=$false) | ((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK2_E)=$false) | ((sK6_E)=$true)),inference(sim,[status(thm)],[222])).
0.39/0.58	 thf(234,plain,(((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK2_E)=$false) | ((sK5_E)=$true)),inference(sim,[status(thm)],[224])).
0.39/0.58	 thf(235,plain,(((cF@sK5_E)=$false) | ((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK1_E)=$true) | ((sK5_E)=$true)),inference(sim,[status(thm)],[226])).
0.39/0.58	 thf(236,plain,(((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK1_E)=$true) | ((cG@sK2_E)=$false)),inference(sim,[status(thm)],[228])).
0.39/0.58	 thf(237,plain,(((sK2_E)=$true) | ((sK1_E)=$true) | ((cG@sK2_E)=$false) | ((cG@sK1_E)=$true)),inference(sim,[status(thm)],[230])).
0.39/0.58	 thf(242,plain,((((cG@sK2_E) = (cG@sK1_E))=$false) | ((cG@sK1_E)=$true) | ((sK1_E)=$false) | ((sK2_E)=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$false) | ((sK2_E)=$false)),inference(res,[status(thm)],[84,84])).
0.39/0.58	 thf(243,plain,((((cG@sK1_E) = (cG@sK2_E))=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$false) | ((sK2_E)=$false) | ((cG@sK1_E)=$true) | ((sK1_E)=$false) | ((sK2_E)=$false)),inference(res,[status(thm)],[84,84])).
0.39/0.58	 thf(256,plain,((((cG@sK2_E) = (cG@sK5_E))=$false) | ((cG@sK1_E)=$true) | ((sK1_E)=$false) | ((sK2_E)=$false) | ((cF@sK5_E)=$false)),inference(res,[status(thm)],[84,57])).
0.39/0.58	 thf(258,plain,((((cG@sK1_E) = (cG@sK5_E))=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$false) | ((sK2_E)=$false)),inference(res,[status(thm)],[84,56])).
0.39/0.58	 thf(260,plain,((((cG@sK1_E) = (cG@sK6_E))=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$false) | ((sK2_E)=$false) | ((cF@sK6_E)=$false)),inference(res,[status(thm)],[84,50])).
0.39/0.58	 thf(266,plain,((((cG@sK2_E) = (cG@sK2_E))=$false) | ((cG@sK1_E)=$true) | ((sK1_E)=$false) | ((sK2_E)=$false) | ((cF@sK2_E)=$true)),inference(res,[status(thm)],[84,39])).
0.39/0.58	 thf(273,plain,((((cG@sK2_E) = (cG@sK1_E))=$false) | ((cG@sK1_E)=$true) | ((sK1_E)=$false) | ((sK2_E)=$false) | ((cF@sK1_E)=$true)),inference(res,[status(thm)],[84,37])).
0.39/0.58	 thf(274,plain,((((cG@sK1_E) = (cG@sK1_E))=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$false) | ((sK2_E)=$false)),inference(res,[status(thm)],[84,36])).
0.39/0.58	 thf(283,plain,(((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK2_E)=$false)),inference(extuni,[status(esa)],[274])).
0.39/0.58	 thf(285,plain,(((cF@sK1_E)=$true) | ((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK1_E)=$true) | ((sK2_E)=$false) | ((sK1_E)=$false)),inference(extuni,[status(esa)],[273])).
0.39/0.58	 thf(286,plain,(((cF@sK2_E)=$true) | ((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK1_E)=$true)),inference(extuni,[status(esa)],[266])).
0.39/0.58	 thf(288,plain,(((cF@sK6_E)=$false) | ((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$false) | ((sK6_E)=$false)),inference(extuni,[status(esa)],[260])).
0.39/0.58	 thf(290,plain,(((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$false) | ((sK5_E)=$false)),inference(extuni,[status(esa)],[258])).
0.39/0.58	 thf(292,plain,(((cF@sK5_E)=$false) | ((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK1_E)=$true) | ((sK2_E)=$false) | ((sK5_E)=$false)),inference(extuni,[status(esa)],[256])).
0.39/0.58	 thf(300,plain,(((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK1_E)=$true) | ((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK2_E)=$false) | ((sK1_E)=$false) | ((sK2_E)=$false)),inference(extuni,[status(esa)],[243])).
0.39/0.58	 thf(302,plain,(((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK2_E)=$false) | ((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK1_E)=$true) | ((sK2_E)=$false) | ((sK1_E)=$false)),inference(extuni,[status(esa)],[242])).
0.39/0.58	 thf(303,plain,(((cF@sK1_E)=$true) | ((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK1_E)=$true)),inference(sim,[status(thm)],[285])).
0.39/0.58	 thf(304,plain,(((cF@sK6_E)=$false) | ((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK2_E)=$false) | ((sK6_E)=$false)),inference(sim,[status(thm)],[288])).
0.39/0.58	 thf(305,plain,(((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK2_E)=$false) | ((sK5_E)=$false)),inference(sim,[status(thm)],[290])).
0.39/0.58	 thf(306,plain,(((cF@sK5_E)=$false) | ((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK1_E)=$true) | ((sK5_E)=$false)),inference(sim,[status(thm)],[292])).
0.39/0.58	 thf(307,plain,(((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK1_E)=$true) | ((cG@sK2_E)=$false)),inference(sim,[status(thm)],[300])).
0.39/0.58	 thf(308,plain,(((sK2_E)=$false) | ((sK1_E)=$false) | ((cG@sK2_E)=$false) | ((cG@sK1_E)=$true)),inference(sim,[status(thm)],[302])).
0.39/0.58	 thf(313,plain,((((cF@sK1_E) = (cF@sK5_E))=$false) | ((cG@sK5_E)=$true)),inference(res,[status(thm)],[85,57])).
0.39/0.58	 thf(315,plain,((((cF@sK1_E) = (cF@sK6_E))=$false) | ((cG@sK6_E)=$false)),inference(res,[status(thm)],[85,50])).
0.39/0.58	 thf(317,plain,((((cF@sK1_E) = (cF@sK2_E))=$false)),inference(res,[status(thm)],[85,38])).
0.39/0.58	 thf(321,plain,(((sK1_E)=$true) | ((sK2_E)=$true)),inference(extuni,[status(esa)],[317])).
0.39/0.58	 thf(322,plain,(((sK1_E)=$false) | ((sK2_E)=$false)),inference(extuni,[status(esa)],[317])).
0.39/0.58	 thf(323,plain,(((cG@sK6_E)=$false) | ((sK1_E)=$true) | ((sK6_E)=$true)),inference(extuni,[status(esa)],[315])).
0.39/0.58	 thf(324,plain,(((cG@sK6_E)=$false) | ((sK1_E)=$false) | ((sK6_E)=$false)),inference(extuni,[status(esa)],[315])).
0.39/0.58	 thf(325,plain,(((cG@sK5_E)=$true) | ((sK1_E)=$true) | ((sK5_E)=$true)),inference(extuni,[status(esa)],[313])).
0.39/0.58	 thf(326,plain,(((cG@sK5_E)=$true) | ((sK1_E)=$false) | ((sK5_E)=$false)),inference(extuni,[status(esa)],[313])).
0.39/0.58	 thf(327,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[18,326,325,324,323,322,321,308,307,306,305,304,303,286,283,237,236,235,234,233,232,221,218,180,179,178,177,176,175,174,173,172,156,155,154,153,146,145,144,143,142,141,140,139,124,123,122,121,120,119,118,117,103,102,101,91,90,85,84,83,57,56,50,39,38,36,23,22,19])).
0.39/0.58	 thf(328,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[327])).
0.39/0.58	% SZS output end CNFRefutation
0.39/0.58	
0.39/0.58	%**** End of derivation protocol ****
0.39/0.58	%**** no. of clauses in derivation: 163 ****
0.39/0.58	%**** clause counter: 327 ****
0.39/0.58	
0.39/0.58	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:327,loop_count:20,foatp_calls:3,translation:fof_full)
0.39/0.58	EOF