0.00/0.09	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.09	% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.08/0.28	% Computer : n001.cluster.edu
0.08/0.28	% Model    : x86_64 x86_64
0.08/0.28	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.28	% Memory   : 8042.1875MB
0.08/0.28	% OS       : Linux 3.10.0-693.el7.x86_64
0.08/0.28	% CPULimit : 1440
0.08/0.28	% WCLimit  : 180
0.08/0.28	% DateTime : Mon Jul  3 05:18:29 EDT 2023
0.08/0.28	% CPUTime  : 
0.08/0.29	
0.08/0.29	 No.of.Axioms: 0
0.08/0.29	
0.08/0.29	 Length.of.Defs: 0
0.08/0.29	
0.08/0.29	 Contains.Choice.Funs: false
0.08/0.29	(rf:0,axioms:0,ps:3,u:6,ude:true,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)...
0.47/0.68	
0.47/0.68	********************************
0.47/0.68	*   All subproblems solved!    *
0.47/0.68	********************************
0.47/0.68	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,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:42,loop_count:0,foatp_calls:1,translation:fof_full)
0.47/0.68	
0.47/0.68	%**** Beginning of derivation protocol ****
0.47/0.68	% SZS output start CNFRefutation
0.47/0.68	 thf(tp_a,type,(a: $tType)).
0.47/0.68	 thf(tp_cK,type,(cK: ((a>$o)>(a>$o)))).
0.47/0.68	 thf(tp_sK1_Xx,type,(sK1_Xx: a)).
0.47/0.68	 thf(tp_sK2_Xx0,type,(sK2_Xx0: ((a>$o)>a))).
0.47/0.68	 thf(tp_sK3_Xx,type,(sK3_Xx: ((a>$o)>((a>$o)>a)))).
0.47/0.68	 thf(1,conjecture,((![X:(a>$o),Y:(a>$o)]: ((![Xx:a]: (((cK@X)@Xx) => ((cK@Y)@Xx))) <= (![Xx:a]: ((X@Xx) => (Y@Xx))))) => (![Xx:a]: ((![S:(a>$o)]: ((![Xx0:a]: ((S@Xx0) <= ((cK@S)@Xx0))) => (S@Xx))) => ((cK@(^[Xx0:a]: (![S:(a>$o)]: ((![Xx1:a]: (((cK@S)@Xx1) => (S@Xx1))) => (S@Xx0)))))@Xx)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM90A_pme)).
0.47/0.68	 thf(2,negated_conjecture,((((![X:(a>$o),Y:(a>$o)]: ((![Xx:a]: (((cK@X)@Xx) => ((cK@Y)@Xx))) <= (![Xx:a]: ((X@Xx) => (Y@Xx))))) => (![Xx:a]: ((![S:(a>$o)]: ((![Xx0:a]: ((S@Xx0) <= ((cK@S)@Xx0))) => (S@Xx))) => ((cK@(^[Xx0:a]: (![S:(a>$o)]: ((![Xx1:a]: (((cK@S)@Xx1) => (S@Xx1))) => (S@Xx0)))))@Xx))))=$false)),inference(negate_conjecture,[status(cth)],[1])).
0.47/0.68	 thf(3,plain,((((![X:(a>$o),Y:(a>$o)]: ((![Xx:a]: (((cK@X)@Xx) => ((cK@Y)@Xx))) <= (![Xx:a]: ((X@Xx) => (Y@Xx))))) => (![Xx:a]: ((![S:(a>$o)]: ((![Xx0:a]: ((S@Xx0) <= ((cK@S)@Xx0))) => (S@Xx))) => ((cK@(^[Xx0:a]: (![S:(a>$o)]: ((![Xx1:a]: (((cK@S)@Xx1) => (S@Xx1))) => (S@Xx0)))))@Xx))))=$false)),inference(unfold_def,[status(thm)],[2])).
0.47/0.68	 thf(4,plain,(((![X:(a>$o),Y:(a>$o)]: ((![Xx:a]: (((cK@X)@Xx) => ((cK@Y)@Xx))) <= (![Xx:a]: ((X@Xx) => (Y@Xx)))))=$true)),inference(standard_cnf,[status(thm)],[3])).
0.47/0.68	 thf(5,plain,(((![Xx:a]: ((![S:(a>$o)]: ((![Xx0:a]: ((S@Xx0) <= ((cK@S)@Xx0))) => (S@Xx))) => ((cK@(^[Xx0:a]: (![S:(a>$o)]: ((![Xx1:a]: (((cK@S)@Xx1) => (S@Xx1))) => (S@Xx0)))))@Xx)))=$false)),inference(standard_cnf,[status(thm)],[3])).
0.47/0.68	 thf(6,plain,(((~ (![Xx:a]: ((![S:(a>$o)]: ((![Xx0:a]: ((S@Xx0) <= ((cK@S)@Xx0))) => (S@Xx))) => ((cK@(^[Xx0:a]: (![S:(a>$o)]: ((![Xx1:a]: (((cK@S)@Xx1) => (S@Xx1))) => (S@Xx0)))))@Xx))))=$true)),inference(polarity_switch,[status(thm)],[5])).
0.47/0.68	 thf(7,plain,((((![SY10:(a>$o)]: ((((cK@SY10)@(sK2_Xx0@SY10)) & (~ (SY10@(sK2_Xx0@SY10)))) | (SY10@sK1_Xx))) & (~ ((cK@(^[Xx0:a]: (![S:(a>$o)]: ((![Xx1:a]: (((cK@S)@Xx1) => (S@Xx1))) => (S@Xx0)))))@sK1_Xx)))=$true)),inference(extcnf_combined,[status(esa)],[6])).
0.47/0.68	 thf(8,plain,(((![X:(a>$o),Y:(a>$o)]: (((X@((sK3_Xx@Y)@X)) & (~ (Y@((sK3_Xx@Y)@X)))) | (![Xx:a]: ((~ ((cK@X)@Xx)) | ((cK@Y)@Xx)))))=$true)),inference(extcnf_combined,[status(esa)],[4])).
0.47/0.68	 thf(9,plain,(((![X:(a>$o),Y:(a>$o)]: (((X@((sK3_Xx@Y)@X)) & (~ (Y@((sK3_Xx@Y)@X)))) | (![Xx:a]: ((~ ((cK@X)@Xx)) | ((cK@Y)@Xx)))))=$true)),inference(copy,[status(thm)],[8])).
0.47/0.68	 thf(10,plain,((((![SY10:(a>$o)]: ((((cK@SY10)@(sK2_Xx0@SY10)) & (~ (SY10@(sK2_Xx0@SY10)))) | (SY10@sK1_Xx))) & (~ ((cK@(^[Xx0:a]: (![S:(a>$o)]: ((![Xx1:a]: (((cK@S)@Xx1) => (S@Xx1))) => (S@Xx0)))))@sK1_Xx)))=$true)),inference(copy,[status(thm)],[7])).
0.47/0.68	 thf(11,plain,(((![SX0:(a>$o),SX1:(a>$o)]: ((~ ((~ (SX0@((sK3_Xx@SX1)@SX0))) | (~ (~ (SX1@((sK3_Xx@SX1)@SX0)))))) | (![SX2:a]: ((~ ((cK@SX0)@SX2)) | ((cK@SX1)@SX2)))))=$true)),inference(unfold_def,[status(thm)],[9])).
0.47/0.68	 thf(12,plain,(((~ ((~ (![SX0:(a>$o)]: ((~ ((~ ((cK@SX0)@(sK2_Xx0@SX0))) | (~ (~ (SX0@(sK2_Xx0@SX0)))))) | (SX0@sK1_Xx)))) | (~ (~ ((cK@(^[SX0:a]: (![SX1:(a>$o)]: ((~ (![SX2:a]: ((~ ((cK@SX1)@SX2)) | (SX1@SX2)))) | (SX1@SX0)))))@sK1_Xx)))))=$true)),inference(unfold_def,[status(thm)],[10])).
0.47/0.68	 thf(13,plain,(![SV1:(a>$o)]: (((![SY15:(a>$o)]: ((~ ((~ (SV1@((sK3_Xx@SY15)@SV1))) | (~ (~ (SY15@((sK3_Xx@SY15)@SV1)))))) | (![SY16:a]: ((~ ((cK@SV1)@SY16)) | ((cK@SY15)@SY16)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[11])).
0.47/0.68	 thf(14,plain,((((~ (![SX0:(a>$o)]: ((~ ((~ ((cK@SX0)@(sK2_Xx0@SX0))) | (~ (~ (SX0@(sK2_Xx0@SX0)))))) | (SX0@sK1_Xx)))) | (~ (~ ((cK@(^[SX0:a]: (![SX1:(a>$o)]: ((~ (![SX2:a]: ((~ ((cK@SX1)@SX2)) | (SX1@SX2)))) | (SX1@SX0)))))@sK1_Xx))))=$false)),inference(extcnf_not_pos,[status(thm)],[12])).
0.47/0.68	 thf(15,plain,(![SV2:(a>$o),SV1:(a>$o)]: ((((~ ((~ (SV1@((sK3_Xx@SV2)@SV1))) | (~ (~ (SV2@((sK3_Xx@SV2)@SV1)))))) | (![SY17:a]: ((~ ((cK@SV1)@SY17)) | ((cK@SV2)@SY17))))=$true))),inference(extcnf_forall_pos,[status(thm)],[13])).
0.47/0.68	 thf(16,plain,(((~ (![SX0:(a>$o)]: ((~ ((~ ((cK@SX0)@(sK2_Xx0@SX0))) | (~ (~ (SX0@(sK2_Xx0@SX0)))))) | (SX0@sK1_Xx))))=$false)),inference(extcnf_or_neg,[status(thm)],[14])).
0.47/0.68	 thf(17,plain,(((~ (~ ((cK@(^[SX0:a]: (![SX1:(a>$o)]: ((~ (![SX2:a]: ((~ ((cK@SX1)@SX2)) | (SX1@SX2)))) | (SX1@SX0)))))@sK1_Xx)))=$false)),inference(extcnf_or_neg,[status(thm)],[14])).
0.47/0.68	 thf(18,plain,(![SV2:(a>$o),SV1:(a>$o)]: (((~ ((~ (SV1@((sK3_Xx@SV2)@SV1))) | (~ (~ (SV2@((sK3_Xx@SV2)@SV1))))))=$true) | ((![SY17:a]: ((~ ((cK@SV1)@SY17)) | ((cK@SV2)@SY17)))=$true))),inference(extcnf_or_pos,[status(thm)],[15])).
0.47/0.68	 thf(19,plain,(((![SX0:(a>$o)]: ((~ ((~ ((cK@SX0)@(sK2_Xx0@SX0))) | (~ (~ (SX0@(sK2_Xx0@SX0)))))) | (SX0@sK1_Xx)))=$true)),inference(extcnf_not_neg,[status(thm)],[16])).
0.47/0.68	 thf(20,plain,(((~ ((cK@(^[SX0:a]: (![SX1:(a>$o)]: ((~ (![SX2:a]: ((~ ((cK@SX1)@SX2)) | (SX1@SX2)))) | (SX1@SX0)))))@sK1_Xx))=$true)),inference(extcnf_not_neg,[status(thm)],[17])).
0.47/0.68	 thf(21,plain,(![SV2:(a>$o),SV1:(a>$o)]: ((((~ (SV1@((sK3_Xx@SV2)@SV1))) | (~ (~ (SV2@((sK3_Xx@SV2)@SV1)))))=$false) | ((![SY17:a]: ((~ ((cK@SV1)@SY17)) | ((cK@SV2)@SY17)))=$true))),inference(extcnf_not_pos,[status(thm)],[18])).
0.47/0.68	 thf(22,plain,(![SV3:(a>$o)]: ((((~ ((~ ((cK@SV3)@(sK2_Xx0@SV3))) | (~ (~ (SV3@(sK2_Xx0@SV3)))))) | (SV3@sK1_Xx))=$true))),inference(extcnf_forall_pos,[status(thm)],[19])).
0.47/0.68	 thf(23,plain,((((cK@(^[SX0:a]: (![SX1:(a>$o)]: ((~ (![SX2:a]: ((~ ((cK@SX1)@SX2)) | (SX1@SX2)))) | (SX1@SX0)))))@sK1_Xx)=$false)),inference(extcnf_not_pos,[status(thm)],[20])).
0.47/0.68	 thf(24,plain,(![SV2:(a>$o),SV1:(a>$o)]: (((~ (SV1@((sK3_Xx@SV2)@SV1)))=$false) | ((![SY17:a]: ((~ ((cK@SV1)@SY17)) | ((cK@SV2)@SY17)))=$true))),inference(extcnf_or_neg,[status(thm)],[21])).
0.47/0.68	 thf(25,plain,(![SV1:(a>$o),SV2:(a>$o)]: (((~ (~ (SV2@((sK3_Xx@SV2)@SV1))))=$false) | ((![SY17:a]: ((~ ((cK@SV1)@SY17)) | ((cK@SV2)@SY17)))=$true))),inference(extcnf_or_neg,[status(thm)],[21])).
0.47/0.68	 thf(26,plain,(![SV3:(a>$o)]: (((~ ((~ ((cK@SV3)@(sK2_Xx0@SV3))) | (~ (~ (SV3@(sK2_Xx0@SV3))))))=$true) | ((SV3@sK1_Xx)=$true))),inference(extcnf_or_pos,[status(thm)],[22])).
0.47/0.68	 thf(27,plain,(![SV2:(a>$o),SV1:(a>$o)]: (((SV1@((sK3_Xx@SV2)@SV1))=$true) | ((![SY17:a]: ((~ ((cK@SV1)@SY17)) | ((cK@SV2)@SY17)))=$true))),inference(extcnf_not_neg,[status(thm)],[24])).
0.47/0.68	 thf(28,plain,(![SV1:(a>$o),SV2:(a>$o)]: (((~ (SV2@((sK3_Xx@SV2)@SV1)))=$true) | ((![SY17:a]: ((~ ((cK@SV1)@SY17)) | ((cK@SV2)@SY17)))=$true))),inference(extcnf_not_neg,[status(thm)],[25])).
0.47/0.68	 thf(29,plain,(![SV3:(a>$o)]: ((((~ ((cK@SV3)@(sK2_Xx0@SV3))) | (~ (~ (SV3@(sK2_Xx0@SV3)))))=$false) | ((SV3@sK1_Xx)=$true))),inference(extcnf_not_pos,[status(thm)],[26])).
0.47/0.68	 thf(30,plain,(![SV2:(a>$o),SV4:a,SV1:(a>$o)]: ((((~ ((cK@SV1)@SV4)) | ((cK@SV2)@SV4))=$true) | ((SV1@((sK3_Xx@SV2)@SV1))=$true))),inference(extcnf_forall_pos,[status(thm)],[27])).
0.47/0.68	 thf(31,plain,(![SV1:(a>$o),SV2:(a>$o)]: (((SV2@((sK3_Xx@SV2)@SV1))=$false) | ((![SY17:a]: ((~ ((cK@SV1)@SY17)) | ((cK@SV2)@SY17)))=$true))),inference(extcnf_not_pos,[status(thm)],[28])).
0.47/0.68	 thf(32,plain,(![SV3:(a>$o)]: (((~ ((cK@SV3)@(sK2_Xx0@SV3)))=$false) | ((SV3@sK1_Xx)=$true))),inference(extcnf_or_neg,[status(thm)],[29])).
0.47/0.68	 thf(33,plain,(![SV3:(a>$o)]: (((~ (~ (SV3@(sK2_Xx0@SV3))))=$false) | ((SV3@sK1_Xx)=$true))),inference(extcnf_or_neg,[status(thm)],[29])).
0.47/0.68	 thf(34,plain,(![SV2:(a>$o),SV4:a,SV1:(a>$o)]: (((~ ((cK@SV1)@SV4))=$true) | (((cK@SV2)@SV4)=$true) | ((SV1@((sK3_Xx@SV2)@SV1))=$true))),inference(extcnf_or_pos,[status(thm)],[30])).
0.47/0.68	 thf(35,plain,(![SV2:(a>$o),SV5:a,SV1:(a>$o)]: ((((~ ((cK@SV1)@SV5)) | ((cK@SV2)@SV5))=$true) | ((SV2@((sK3_Xx@SV2)@SV1))=$false))),inference(extcnf_forall_pos,[status(thm)],[31])).
0.47/0.68	 thf(36,plain,(![SV3:(a>$o)]: ((((cK@SV3)@(sK2_Xx0@SV3))=$true) | ((SV3@sK1_Xx)=$true))),inference(extcnf_not_neg,[status(thm)],[32])).
0.47/0.68	 thf(37,plain,(![SV3:(a>$o)]: (((~ (SV3@(sK2_Xx0@SV3)))=$true) | ((SV3@sK1_Xx)=$true))),inference(extcnf_not_neg,[status(thm)],[33])).
0.47/0.68	 thf(38,plain,(![SV2:(a>$o),SV4:a,SV1:(a>$o)]: ((((cK@SV1)@SV4)=$false) | (((cK@SV2)@SV4)=$true) | ((SV1@((sK3_Xx@SV2)@SV1))=$true))),inference(extcnf_not_pos,[status(thm)],[34])).
0.47/0.68	 thf(39,plain,(![SV2:(a>$o),SV5:a,SV1:(a>$o)]: (((~ ((cK@SV1)@SV5))=$true) | (((cK@SV2)@SV5)=$true) | ((SV2@((sK3_Xx@SV2)@SV1))=$false))),inference(extcnf_or_pos,[status(thm)],[35])).
0.47/0.68	 thf(40,plain,(![SV3:(a>$o)]: (((SV3@(sK2_Xx0@SV3))=$false) | ((SV3@sK1_Xx)=$true))),inference(extcnf_not_pos,[status(thm)],[37])).
0.47/0.68	 thf(41,plain,(![SV2:(a>$o),SV5:a,SV1:(a>$o)]: ((((cK@SV1)@SV5)=$false) | (((cK@SV2)@SV5)=$true) | ((SV2@((sK3_Xx@SV2)@SV1))=$false))),inference(extcnf_not_pos,[status(thm)],[39])).
0.47/0.68	 thf(42,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[23,41,40,38,36])).
0.47/0.68	 thf(43,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[42])).
0.47/0.68	% SZS output end CNFRefutation
0.47/0.68	
0.47/0.68	%**** End of derivation protocol ****
0.47/0.68	%**** no. of clauses in derivation: 43 ****
0.47/0.68	%**** clause counter: 42 ****
0.47/0.68	
0.47/0.68	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,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:42,loop_count:0,foatp_calls:1,translation:fof_full)
0.47/0.68	EOF