0.05/0.10	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.11	% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.10/0.31	% Computer : n013.cluster.edu
0.10/0.31	% Model    : x86_64 x86_64
0.10/0.31	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory   : 8042.1875MB
0.10/0.31	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit : 960
0.10/0.31	% WCLimit  : 120
0.10/0.31	% DateTime : Tue Aug  9 02:21:15 EDT 2022
0.10/0.32	% CPUTime  : 
0.10/0.32	
0.10/0.32	 No.of.Axioms: 0
0.10/0.32	
0.10/0.32	 Length.of.Defs: 0
0.10/0.32	
0.10/0.32	 Contains.Choice.Funs: false
0.10/0.32	(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)..
0.10/0.36	
0.10/0.36	********************************
0.10/0.36	*   All subproblems solved!    *
0.10/0.36	********************************
0.10/0.36	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:49,loop_count:0,foatp_calls:1,translation:fof_full)
0.10/0.36	
0.10/0.36	%**** Beginning of derivation protocol ****
0.10/0.36	% SZS output start CNFRefutation
0.10/0.36	 thf(tp_cP,type,(cP: ($i>($i>$o)))).
0.10/0.36	 thf(tp_cQ,type,(cQ: ($i>($i>$o)))).
0.10/0.36	 thf(tp_sK1_Xx,type,(sK1_Xx: $i)).
0.10/0.36	 thf(tp_sK2_SY14,type,(sK2_SY14: $i)).
0.10/0.36	 thf(tp_sK3_Xx,type,(sK3_Xx: $i)).
0.10/0.36	 thf(tp_sK4_SY15,type,(sK4_SY15: $i)).
0.10/0.36	 thf(1,conjecture,(((((![Xx:$i,Xy:$i,Xz:$i]: ((((cQ@Xx)@Xy) & ((cQ@Xy)@Xz)) => ((cQ@Xx)@Xz))) & (![Xx:$i,Xy:$i]: (((cQ@Xx)@Xy) => ((cQ@Xy)@Xx)))) & (![Xx:$i,Xy:$i]: (((cQ@Xx)@Xy) | ((cP@Xx)@Xy)))) & (![Xx:$i,Xy:$i,Xz:$i]: ((((cP@Xx)@Xy) & ((cP@Xy)@Xz)) => ((cP@Xx)@Xz)))) => ((![Xx:$i,Xy:$i]: ((cP@Xx)@Xy)) | (![Xx:$i,Xy:$i]: ((cQ@Xx)@Xy)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCADE13_pme)).
0.10/0.36	 thf(2,negated_conjecture,(((((((![Xx:$i,Xy:$i,Xz:$i]: ((((cQ@Xx)@Xy) & ((cQ@Xy)@Xz)) => ((cQ@Xx)@Xz))) & (![Xx:$i,Xy:$i]: (((cQ@Xx)@Xy) => ((cQ@Xy)@Xx)))) & (![Xx:$i,Xy:$i]: (((cQ@Xx)@Xy) | ((cP@Xx)@Xy)))) & (![Xx:$i,Xy:$i,Xz:$i]: ((((cP@Xx)@Xy) & ((cP@Xy)@Xz)) => ((cP@Xx)@Xz)))) => ((![Xx:$i,Xy:$i]: ((cP@Xx)@Xy)) | (![Xx:$i,Xy:$i]: ((cQ@Xx)@Xy))))=$false)),inference(negate_conjecture,[status(cth)],[1])).
0.10/0.36	 thf(3,plain,(((((((![Xx:$i,Xy:$i,Xz:$i]: ((((cQ@Xx)@Xy) & ((cQ@Xy)@Xz)) => ((cQ@Xx)@Xz))) & (![Xx:$i,Xy:$i]: (((cQ@Xx)@Xy) => ((cQ@Xy)@Xx)))) & (![Xx:$i,Xy:$i]: (((cQ@Xx)@Xy) | ((cP@Xx)@Xy)))) & (![Xx:$i,Xy:$i,Xz:$i]: ((((cP@Xx)@Xy) & ((cP@Xy)@Xz)) => ((cP@Xx)@Xz)))) => ((![Xx:$i,Xy:$i]: ((cP@Xx)@Xy)) | (![Xx:$i,Xy:$i]: ((cQ@Xx)@Xy))))=$false)),inference(unfold_def,[status(thm)],[2])).
0.10/0.36	 thf(4,plain,(((![Xx:$i,Xy:$i,Xz:$i]: ((((cQ@Xx)@Xy) & ((cQ@Xy)@Xz)) => ((cQ@Xx)@Xz)))=$true)),inference(standard_cnf,[status(thm)],[3])).
0.10/0.36	 thf(5,plain,(((![Xx:$i,Xy:$i]: (((cQ@Xx)@Xy) => ((cQ@Xy)@Xx)))=$true)),inference(standard_cnf,[status(thm)],[3])).
0.10/0.36	 thf(6,plain,(((![Xx:$i,Xy:$i]: (((cQ@Xx)@Xy) | ((cP@Xx)@Xy)))=$true)),inference(standard_cnf,[status(thm)],[3])).
0.10/0.36	 thf(7,plain,(((![Xx:$i,Xy:$i,Xz:$i]: ((((cP@Xx)@Xy) & ((cP@Xy)@Xz)) => ((cP@Xx)@Xz)))=$true)),inference(standard_cnf,[status(thm)],[3])).
0.10/0.36	 thf(8,plain,((((![Xx:$i,Xy:$i]: ((cP@Xx)@Xy)) | (![Xx:$i,Xy:$i]: ((cQ@Xx)@Xy)))=$false)),inference(standard_cnf,[status(thm)],[3])).
0.10/0.36	 thf(9,plain,(((~ ((![Xx:$i,Xy:$i]: ((cP@Xx)@Xy)) | (![Xx:$i,Xy:$i]: ((cQ@Xx)@Xy))))=$true)),inference(polarity_switch,[status(thm)],[8])).
0.10/0.36	 thf(10,plain,((((~ ((cP@sK3_Xx)@sK4_SY15)) & (~ ((cQ@sK1_Xx)@sK2_SY14)))=$true)),inference(extcnf_combined,[status(esa)],[9])).
0.10/0.36	 thf(11,plain,(((![Xx:$i,Xy:$i,Xz:$i]: (((~ ((cQ@Xx)@Xy)) | (~ ((cQ@Xy)@Xz))) | ((cQ@Xx)@Xz)))=$true)),inference(extcnf_combined,[status(esa)],[4])).
0.10/0.36	 thf(12,plain,(((![Xx:$i,Xy:$i]: ((~ ((cQ@Xx)@Xy)) | ((cQ@Xy)@Xx)))=$true)),inference(extcnf_combined,[status(esa)],[5])).
0.10/0.36	 thf(13,plain,(((![Xx:$i,Xy:$i]: (((cP@Xx)@Xy) | ((cQ@Xx)@Xy)))=$true)),inference(extcnf_combined,[status(esa)],[6])).
0.10/0.36	 thf(14,plain,(((![Xx:$i,Xy:$i,Xz:$i]: (((~ ((cP@Xx)@Xy)) | (~ ((cP@Xy)@Xz))) | ((cP@Xx)@Xz)))=$true)),inference(extcnf_combined,[status(esa)],[7])).
0.10/0.36	 thf(15,plain,(((![Xx:$i,Xy:$i,Xz:$i]: (((~ ((cP@Xx)@Xy)) | (~ ((cP@Xy)@Xz))) | ((cP@Xx)@Xz)))=$true)),inference(copy,[status(thm)],[14])).
0.10/0.36	 thf(16,plain,(((![Xx:$i,Xy:$i]: (((cP@Xx)@Xy) | ((cQ@Xx)@Xy)))=$true)),inference(copy,[status(thm)],[13])).
0.10/0.36	 thf(17,plain,(((![Xx:$i,Xy:$i]: ((~ ((cQ@Xx)@Xy)) | ((cQ@Xy)@Xx)))=$true)),inference(copy,[status(thm)],[12])).
0.10/0.36	 thf(18,plain,(((![Xx:$i,Xy:$i,Xz:$i]: (((~ ((cQ@Xx)@Xy)) | (~ ((cQ@Xy)@Xz))) | ((cQ@Xx)@Xz)))=$true)),inference(copy,[status(thm)],[11])).
0.10/0.36	 thf(19,plain,((((~ ((cP@sK3_Xx)@sK4_SY15)) & (~ ((cQ@sK1_Xx)@sK2_SY14)))=$true)),inference(copy,[status(thm)],[10])).
0.10/0.36	 thf(20,plain,(((~ ((~ (~ ((cP@sK3_Xx)@sK4_SY15))) | (~ (~ ((cQ@sK1_Xx)@sK2_SY14)))))=$true)),inference(unfold_def,[status(thm)],[19])).
0.10/0.36	 thf(21,plain,(![SV1:$i]: (((![SY16:$i,SY17:$i]: (((~ ((cP@SV1)@SY16)) | (~ ((cP@SY16)@SY17))) | ((cP@SV1)@SY17)))=$true))),inference(extcnf_forall_pos,[status(thm)],[15])).
0.10/0.36	 thf(22,plain,(![SV2:$i]: (((![SY18:$i]: (((cP@SV2)@SY18) | ((cQ@SV2)@SY18)))=$true))),inference(extcnf_forall_pos,[status(thm)],[16])).
0.10/0.36	 thf(23,plain,(![SV3:$i]: (((![SY19:$i]: ((~ ((cQ@SV3)@SY19)) | ((cQ@SY19)@SV3)))=$true))),inference(extcnf_forall_pos,[status(thm)],[17])).
0.10/0.36	 thf(24,plain,(![SV4:$i]: (((![SY20:$i,SY21:$i]: (((~ ((cQ@SV4)@SY20)) | (~ ((cQ@SY20)@SY21))) | ((cQ@SV4)@SY21)))=$true))),inference(extcnf_forall_pos,[status(thm)],[18])).
0.10/0.36	 thf(25,plain,((((~ (~ ((cP@sK3_Xx)@sK4_SY15))) | (~ (~ ((cQ@sK1_Xx)@sK2_SY14))))=$false)),inference(extcnf_not_pos,[status(thm)],[20])).
0.10/0.36	 thf(26,plain,(![SV5:$i,SV1:$i]: (((![SY22:$i]: (((~ ((cP@SV1)@SV5)) | (~ ((cP@SV5)@SY22))) | ((cP@SV1)@SY22)))=$true))),inference(extcnf_forall_pos,[status(thm)],[21])).
0.10/0.36	 thf(27,plain,(![SV6:$i,SV2:$i]: (((((cP@SV2)@SV6) | ((cQ@SV2)@SV6))=$true))),inference(extcnf_forall_pos,[status(thm)],[22])).
0.10/0.36	 thf(28,plain,(![SV7:$i,SV3:$i]: ((((~ ((cQ@SV3)@SV7)) | ((cQ@SV7)@SV3))=$true))),inference(extcnf_forall_pos,[status(thm)],[23])).
0.10/0.36	 thf(29,plain,(![SV8:$i,SV4:$i]: (((![SY23:$i]: (((~ ((cQ@SV4)@SV8)) | (~ ((cQ@SV8)@SY23))) | ((cQ@SV4)@SY23)))=$true))),inference(extcnf_forall_pos,[status(thm)],[24])).
0.10/0.36	 thf(30,plain,(((~ (~ ((cP@sK3_Xx)@sK4_SY15)))=$false)),inference(extcnf_or_neg,[status(thm)],[25])).
0.10/0.36	 thf(31,plain,(((~ (~ ((cQ@sK1_Xx)@sK2_SY14)))=$false)),inference(extcnf_or_neg,[status(thm)],[25])).
0.10/0.36	 thf(32,plain,(![SV9:$i,SV5:$i,SV1:$i]: (((((~ ((cP@SV1)@SV5)) | (~ ((cP@SV5)@SV9))) | ((cP@SV1)@SV9))=$true))),inference(extcnf_forall_pos,[status(thm)],[26])).
0.10/0.36	 thf(33,plain,(![SV6:$i,SV2:$i]: ((((cP@SV2)@SV6)=$true) | (((cQ@SV2)@SV6)=$true))),inference(extcnf_or_pos,[status(thm)],[27])).
0.10/0.36	 thf(34,plain,(![SV7:$i,SV3:$i]: (((~ ((cQ@SV3)@SV7))=$true) | (((cQ@SV7)@SV3)=$true))),inference(extcnf_or_pos,[status(thm)],[28])).
0.10/0.36	 thf(35,plain,(![SV10:$i,SV8:$i,SV4:$i]: (((((~ ((cQ@SV4)@SV8)) | (~ ((cQ@SV8)@SV10))) | ((cQ@SV4)@SV10))=$true))),inference(extcnf_forall_pos,[status(thm)],[29])).
0.10/0.36	 thf(36,plain,(((~ ((cP@sK3_Xx)@sK4_SY15))=$true)),inference(extcnf_not_neg,[status(thm)],[30])).
0.10/0.36	 thf(37,plain,(((~ ((cQ@sK1_Xx)@sK2_SY14))=$true)),inference(extcnf_not_neg,[status(thm)],[31])).
0.10/0.36	 thf(38,plain,(![SV9:$i,SV5:$i,SV1:$i]: ((((~ ((cP@SV1)@SV5)) | (~ ((cP@SV5)@SV9)))=$true) | (((cP@SV1)@SV9)=$true))),inference(extcnf_or_pos,[status(thm)],[32])).
0.10/0.36	 thf(39,plain,(![SV7:$i,SV3:$i]: ((((cQ@SV3)@SV7)=$false) | (((cQ@SV7)@SV3)=$true))),inference(extcnf_not_pos,[status(thm)],[34])).
0.10/0.36	 thf(40,plain,(![SV10:$i,SV8:$i,SV4:$i]: ((((~ ((cQ@SV4)@SV8)) | (~ ((cQ@SV8)@SV10)))=$true) | (((cQ@SV4)@SV10)=$true))),inference(extcnf_or_pos,[status(thm)],[35])).
0.10/0.36	 thf(41,plain,((((cP@sK3_Xx)@sK4_SY15)=$false)),inference(extcnf_not_pos,[status(thm)],[36])).
0.10/0.36	 thf(42,plain,((((cQ@sK1_Xx)@sK2_SY14)=$false)),inference(extcnf_not_pos,[status(thm)],[37])).
0.10/0.36	 thf(43,plain,(![SV9:$i,SV5:$i,SV1:$i]: (((~ ((cP@SV1)@SV5))=$true) | ((~ ((cP@SV5)@SV9))=$true) | (((cP@SV1)@SV9)=$true))),inference(extcnf_or_pos,[status(thm)],[38])).
0.10/0.36	 thf(44,plain,(![SV10:$i,SV8:$i,SV4:$i]: (((~ ((cQ@SV4)@SV8))=$true) | ((~ ((cQ@SV8)@SV10))=$true) | (((cQ@SV4)@SV10)=$true))),inference(extcnf_or_pos,[status(thm)],[40])).
0.10/0.36	 thf(45,plain,(![SV9:$i,SV5:$i,SV1:$i]: ((((cP@SV1)@SV5)=$false) | ((~ ((cP@SV5)@SV9))=$true) | (((cP@SV1)@SV9)=$true))),inference(extcnf_not_pos,[status(thm)],[43])).
0.10/0.36	 thf(46,plain,(![SV10:$i,SV8:$i,SV4:$i]: ((((cQ@SV4)@SV8)=$false) | ((~ ((cQ@SV8)@SV10))=$true) | (((cQ@SV4)@SV10)=$true))),inference(extcnf_not_pos,[status(thm)],[44])).
0.10/0.36	 thf(47,plain,(![SV1:$i,SV9:$i,SV5:$i]: ((((cP@SV5)@SV9)=$false) | (((cP@SV1)@SV5)=$false) | (((cP@SV1)@SV9)=$true))),inference(extcnf_not_pos,[status(thm)],[45])).
0.10/0.36	 thf(48,plain,(![SV4:$i,SV10:$i,SV8:$i]: ((((cQ@SV8)@SV10)=$false) | (((cQ@SV4)@SV8)=$false) | (((cQ@SV4)@SV10)=$true))),inference(extcnf_not_pos,[status(thm)],[46])).
0.10/0.36	 thf(49,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[33,48,47,42,41,39])).
0.10/0.36	 thf(50,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[49])).
0.10/0.36	% SZS output end CNFRefutation
0.10/0.36	
0.10/0.36	%**** End of derivation protocol ****
0.10/0.36	%**** no. of clauses in derivation: 50 ****
0.10/0.36	%**** clause counter: 49 ****
0.10/0.36	
0.10/0.36	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:49,loop_count:0,foatp_calls:1,translation:fof_full)
0.10/0.36	EOF