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 : n012.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 01:56:59 EDT 2022
0.10/0.31	% 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: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:51,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_a,type,(a: $i)).
0.10/0.36	 thf(tp_cEQ,type,(cEQ: ($i>($i>$o)))).
0.10/0.36	 thf(tp_cP,type,(cP: ($i>$o))).
0.10/0.36	 thf(tp_f,type,(f: ($i>$i))).
0.10/0.36	 thf(tp_sK1_Xx,type,(sK1_Xx: (($i>$o)>$i))).
0.10/0.36	 thf(1,conjecture,((?[A:($i>$o)]: ((?[Xz:$i]: (A@Xz)) & (![Xx:$i]: ((cP@Xx) <= (A@(f@Xx)))))) <= ((((![Xx:$i]: ((cEQ@Xx)@Xx)) & (![Xy:$i,Xz:$i]: (((cEQ@(f@Xy))@(f@Xz)) => ((cEQ@Xy)@Xz)))) & (cP@a)) & (![Xx:$i,Xy:$i]: ((cP@Xy) <= (((cEQ@Xx)@Xy) & (cP@Xx)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM304)).
0.10/0.36	 thf(2,negated_conjecture,((((?[A:($i>$o)]: ((?[Xz:$i]: (A@Xz)) & (![Xx:$i]: ((cP@Xx) <= (A@(f@Xx)))))) <= ((((![Xx:$i]: ((cEQ@Xx)@Xx)) & (![Xy:$i,Xz:$i]: (((cEQ@(f@Xy))@(f@Xz)) => ((cEQ@Xy)@Xz)))) & (cP@a)) & (![Xx:$i,Xy:$i]: ((cP@Xy) <= (((cEQ@Xx)@Xy) & (cP@Xx))))))=$false)),inference(negate_conjecture,[status(cth)],[1])).
0.10/0.36	 thf(3,plain,((((?[A:($i>$o)]: ((?[Xz:$i]: (A@Xz)) & (![Xx:$i]: ((cP@Xx) <= (A@(f@Xx)))))) <= ((((![Xx:$i]: ((cEQ@Xx)@Xx)) & (![Xy:$i,Xz:$i]: (((cEQ@(f@Xy))@(f@Xz)) => ((cEQ@Xy)@Xz)))) & (cP@a)) & (![Xx:$i,Xy:$i]: ((cP@Xy) <= (((cEQ@Xx)@Xy) & (cP@Xx))))))=$false)),inference(unfold_def,[status(thm)],[2])).
0.10/0.36	 thf(4,plain,(((~ ((?[A:($i>$o)]: ((?[Xz:$i]: (A@Xz)) & (![Xx:$i]: ((cP@Xx) <= (A@(f@Xx)))))) <= ((((![Xx:$i]: ((cEQ@Xx)@Xx)) & (![Xy:$i,Xz:$i]: (((cEQ@(f@Xy))@(f@Xz)) => ((cEQ@Xy)@Xz)))) & (cP@a)) & (![Xx:$i,Xy:$i]: ((cP@Xy) <= (((cEQ@Xx)@Xy) & (cP@Xx)))))))=$true)),inference(polarity_switch,[status(thm)],[3])).
0.10/0.36	 thf(5,plain,(((((![Xx:$i,Xy:$i]: (((~ ((cEQ@Xx)@Xy)) | (~ (cP@Xx))) | (cP@Xy))) & (((![Xx:$i]: ((cEQ@Xx)@Xx)) & (![Xy:$i,Xz:$i]: ((~ ((cEQ@(f@Xy))@(f@Xz))) | ((cEQ@Xy)@Xz)))) & (cP@a))) & (![A:($i>$o)]: (((A@(f@(sK1_Xx@A))) & (~ (cP@(sK1_Xx@A)))) | (![Xz:$i]: (~ (A@Xz))))))=$true)),inference(extcnf_combined,[status(esa)],[4])).
0.10/0.36	 thf(6,plain,(((((![Xx:$i,Xy:$i]: (((~ ((cEQ@Xx)@Xy)) | (~ (cP@Xx))) | (cP@Xy))) & (((![Xx:$i]: ((cEQ@Xx)@Xx)) & (![Xy:$i,Xz:$i]: ((~ ((cEQ@(f@Xy))@(f@Xz))) | ((cEQ@Xy)@Xz)))) & (cP@a))) & (![A:($i>$o)]: (((A@(f@(sK1_Xx@A))) & (~ (cP@(sK1_Xx@A)))) | (![Xz:$i]: (~ (A@Xz))))))=$true)),inference(copy,[status(thm)],[5])).
0.10/0.36	 thf(7,plain,(((~ ((~ (~ ((~ (![SX0:$i,SX1:$i]: (((~ ((cEQ@SX0)@SX1)) | (~ (cP@SX0))) | (cP@SX1)))) | (~ (~ ((~ (~ ((~ (![SX0:$i]: ((cEQ@SX0)@SX0))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1))))))) | (~ (cP@a)))))))) | (~ (![SX0:($i>$o)]: ((~ ((~ (SX0@(f@(sK1_Xx@SX0)))) | (~ (~ (cP@(sK1_Xx@SX0)))))) | (![SX1:$i]: (~ (SX0@SX1))))))))=$true)),inference(unfold_def,[status(thm)],[6])).
0.10/0.36	 thf(8,plain,((((~ (~ ((~ (![SX0:$i,SX1:$i]: (((~ ((cEQ@SX0)@SX1)) | (~ (cP@SX0))) | (cP@SX1)))) | (~ (~ ((~ (~ ((~ (![SX0:$i]: ((cEQ@SX0)@SX0))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1))))))) | (~ (cP@a)))))))) | (~ (![SX0:($i>$o)]: ((~ ((~ (SX0@(f@(sK1_Xx@SX0)))) | (~ (~ (cP@(sK1_Xx@SX0)))))) | (![SX1:$i]: (~ (SX0@SX1)))))))=$false)),inference(extcnf_not_pos,[status(thm)],[7])).
0.10/0.36	 thf(9,plain,(((~ (~ ((~ (![SX0:$i,SX1:$i]: (((~ ((cEQ@SX0)@SX1)) | (~ (cP@SX0))) | (cP@SX1)))) | (~ (~ ((~ (~ ((~ (![SX0:$i]: ((cEQ@SX0)@SX0))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1))))))) | (~ (cP@a))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[8])).
0.10/0.36	 thf(10,plain,(((~ (![SX0:($i>$o)]: ((~ ((~ (SX0@(f@(sK1_Xx@SX0)))) | (~ (~ (cP@(sK1_Xx@SX0)))))) | (![SX1:$i]: (~ (SX0@SX1))))))=$false)),inference(extcnf_or_neg,[status(thm)],[8])).
0.10/0.36	 thf(11,plain,(((~ ((~ (![SX0:$i,SX1:$i]: (((~ ((cEQ@SX0)@SX1)) | (~ (cP@SX0))) | (cP@SX1)))) | (~ (~ ((~ (~ ((~ (![SX0:$i]: ((cEQ@SX0)@SX0))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1))))))) | (~ (cP@a)))))))=$true)),inference(extcnf_not_neg,[status(thm)],[9])).
0.10/0.36	 thf(12,plain,(((![SX0:($i>$o)]: ((~ ((~ (SX0@(f@(sK1_Xx@SX0)))) | (~ (~ (cP@(sK1_Xx@SX0)))))) | (![SX1:$i]: (~ (SX0@SX1)))))=$true)),inference(extcnf_not_neg,[status(thm)],[10])).
0.10/0.36	 thf(13,plain,((((~ (![SX0:$i,SX1:$i]: (((~ ((cEQ@SX0)@SX1)) | (~ (cP@SX0))) | (cP@SX1)))) | (~ (~ ((~ (~ ((~ (![SX0:$i]: ((cEQ@SX0)@SX0))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1))))))) | (~ (cP@a))))))=$false)),inference(extcnf_not_pos,[status(thm)],[11])).
0.10/0.36	 thf(14,plain,(![SV1:($i>$o)]: ((((~ ((~ (SV1@(f@(sK1_Xx@SV1)))) | (~ (~ (cP@(sK1_Xx@SV1)))))) | (![SY8:$i]: (~ (SV1@SY8))))=$true))),inference(extcnf_forall_pos,[status(thm)],[12])).
0.10/0.36	 thf(15,plain,(((~ (![SX0:$i,SX1:$i]: (((~ ((cEQ@SX0)@SX1)) | (~ (cP@SX0))) | (cP@SX1))))=$false)),inference(extcnf_or_neg,[status(thm)],[13])).
0.10/0.36	 thf(16,plain,(((~ (~ ((~ (~ ((~ (![SX0:$i]: ((cEQ@SX0)@SX0))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1))))))) | (~ (cP@a)))))=$false)),inference(extcnf_or_neg,[status(thm)],[13])).
0.10/0.36	 thf(17,plain,(![SV1:($i>$o)]: (((~ ((~ (SV1@(f@(sK1_Xx@SV1)))) | (~ (~ (cP@(sK1_Xx@SV1))))))=$true) | ((![SY8:$i]: (~ (SV1@SY8)))=$true))),inference(extcnf_or_pos,[status(thm)],[14])).
0.10/0.36	 thf(18,plain,(((![SX0:$i,SX1:$i]: (((~ ((cEQ@SX0)@SX1)) | (~ (cP@SX0))) | (cP@SX1)))=$true)),inference(extcnf_not_neg,[status(thm)],[15])).
0.10/0.36	 thf(19,plain,(((~ ((~ (~ ((~ (![SX0:$i]: ((cEQ@SX0)@SX0))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1))))))) | (~ (cP@a))))=$true)),inference(extcnf_not_neg,[status(thm)],[16])).
0.10/0.36	 thf(20,plain,(![SV1:($i>$o)]: ((((~ (SV1@(f@(sK1_Xx@SV1)))) | (~ (~ (cP@(sK1_Xx@SV1)))))=$false) | ((![SY8:$i]: (~ (SV1@SY8)))=$true))),inference(extcnf_not_pos,[status(thm)],[17])).
0.10/0.36	 thf(21,plain,(![SV2:$i]: (((![SY9:$i]: (((~ ((cEQ@SV2)@SY9)) | (~ (cP@SV2))) | (cP@SY9)))=$true))),inference(extcnf_forall_pos,[status(thm)],[18])).
0.10/0.36	 thf(22,plain,((((~ (~ ((~ (![SX0:$i]: ((cEQ@SX0)@SX0))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1))))))) | (~ (cP@a)))=$false)),inference(extcnf_not_pos,[status(thm)],[19])).
0.10/0.36	 thf(23,plain,(![SV1:($i>$o)]: (((~ (SV1@(f@(sK1_Xx@SV1))))=$false) | ((![SY8:$i]: (~ (SV1@SY8)))=$true))),inference(extcnf_or_neg,[status(thm)],[20])).
0.10/0.36	 thf(24,plain,(![SV1:($i>$o)]: (((~ (~ (cP@(sK1_Xx@SV1))))=$false) | ((![SY8:$i]: (~ (SV1@SY8)))=$true))),inference(extcnf_or_neg,[status(thm)],[20])).
0.10/0.36	 thf(25,plain,(![SV3:$i,SV2:$i]: (((((~ ((cEQ@SV2)@SV3)) | (~ (cP@SV2))) | (cP@SV3))=$true))),inference(extcnf_forall_pos,[status(thm)],[21])).
0.10/0.36	 thf(26,plain,(((~ (~ ((~ (![SX0:$i]: ((cEQ@SX0)@SX0))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1)))))))=$false)),inference(extcnf_or_neg,[status(thm)],[22])).
0.10/0.36	 thf(27,plain,(((~ (cP@a))=$false)),inference(extcnf_or_neg,[status(thm)],[22])).
0.10/0.36	 thf(28,plain,(![SV1:($i>$o)]: (((SV1@(f@(sK1_Xx@SV1)))=$true) | ((![SY8:$i]: (~ (SV1@SY8)))=$true))),inference(extcnf_not_neg,[status(thm)],[23])).
0.10/0.36	 thf(29,plain,(![SV1:($i>$o)]: (((~ (cP@(sK1_Xx@SV1)))=$true) | ((![SY8:$i]: (~ (SV1@SY8)))=$true))),inference(extcnf_not_neg,[status(thm)],[24])).
0.10/0.36	 thf(30,plain,(![SV3:$i,SV2:$i]: ((((~ ((cEQ@SV2)@SV3)) | (~ (cP@SV2)))=$true) | ((cP@SV3)=$true))),inference(extcnf_or_pos,[status(thm)],[25])).
0.10/0.36	 thf(31,plain,(((~ ((~ (![SX0:$i]: ((cEQ@SX0)@SX0))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1))))))=$true)),inference(extcnf_not_neg,[status(thm)],[26])).
0.10/0.36	 thf(32,plain,(((cP@a)=$true)),inference(extcnf_not_neg,[status(thm)],[27])).
0.10/0.36	 thf(33,plain,(![SV4:$i,SV1:($i>$o)]: (((~ (SV1@SV4))=$true) | ((SV1@(f@(sK1_Xx@SV1)))=$true))),inference(extcnf_forall_pos,[status(thm)],[28])).
0.10/0.36	 thf(34,plain,(![SV1:($i>$o)]: (((cP@(sK1_Xx@SV1))=$false) | ((![SY8:$i]: (~ (SV1@SY8)))=$true))),inference(extcnf_not_pos,[status(thm)],[29])).
0.10/0.36	 thf(35,plain,(![SV3:$i,SV2:$i]: (((~ ((cEQ@SV2)@SV3))=$true) | ((~ (cP@SV2))=$true) | ((cP@SV3)=$true))),inference(extcnf_or_pos,[status(thm)],[30])).
0.10/0.36	 thf(36,plain,((((~ (![SX0:$i]: ((cEQ@SX0)@SX0))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1)))))=$false)),inference(extcnf_not_pos,[status(thm)],[31])).
0.10/0.36	 thf(37,plain,(![SV4:$i,SV1:($i>$o)]: (((SV1@SV4)=$false) | ((SV1@(f@(sK1_Xx@SV1)))=$true))),inference(extcnf_not_pos,[status(thm)],[33])).
0.10/0.36	 thf(38,plain,(![SV5:$i,SV1:($i>$o)]: (((~ (SV1@SV5))=$true) | ((cP@(sK1_Xx@SV1))=$false))),inference(extcnf_forall_pos,[status(thm)],[34])).
0.10/0.36	 thf(39,plain,(![SV3:$i,SV2:$i]: ((((cEQ@SV2)@SV3)=$false) | ((~ (cP@SV2))=$true) | ((cP@SV3)=$true))),inference(extcnf_not_pos,[status(thm)],[35])).
0.10/0.36	 thf(40,plain,(((~ (![SX0:$i]: ((cEQ@SX0)@SX0)))=$false)),inference(extcnf_or_neg,[status(thm)],[36])).
0.10/0.36	 thf(41,plain,(((~ (![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1))))=$false)),inference(extcnf_or_neg,[status(thm)],[36])).
0.10/0.36	 thf(42,plain,(![SV5:$i,SV1:($i>$o)]: (((SV1@SV5)=$false) | ((cP@(sK1_Xx@SV1))=$false))),inference(extcnf_not_pos,[status(thm)],[38])).
0.10/0.36	 thf(43,plain,(![SV3:$i,SV2:$i]: (((cP@SV2)=$false) | (((cEQ@SV2)@SV3)=$false) | ((cP@SV3)=$true))),inference(extcnf_not_pos,[status(thm)],[39])).
0.10/0.36	 thf(44,plain,(((![SX0:$i]: ((cEQ@SX0)@SX0))=$true)),inference(extcnf_not_neg,[status(thm)],[40])).
0.10/0.36	 thf(45,plain,(((![SX0:$i,SX1:$i]: ((~ ((cEQ@(f@SX0))@(f@SX1))) | ((cEQ@SX0)@SX1)))=$true)),inference(extcnf_not_neg,[status(thm)],[41])).
0.10/0.36	 thf(46,plain,(![SV6:$i]: ((((cEQ@SV6)@SV6)=$true))),inference(extcnf_forall_pos,[status(thm)],[44])).
0.10/0.36	 thf(47,plain,(![SV7:$i]: (((![SY10:$i]: ((~ ((cEQ@(f@SV7))@(f@SY10))) | ((cEQ@SV7)@SY10)))=$true))),inference(extcnf_forall_pos,[status(thm)],[45])).
0.10/0.36	 thf(48,plain,(![SV8:$i,SV7:$i]: ((((~ ((cEQ@(f@SV7))@(f@SV8))) | ((cEQ@SV7)@SV8))=$true))),inference(extcnf_forall_pos,[status(thm)],[47])).
0.10/0.36	 thf(49,plain,(![SV8:$i,SV7:$i]: (((~ ((cEQ@(f@SV7))@(f@SV8)))=$true) | (((cEQ@SV7)@SV8)=$true))),inference(extcnf_or_pos,[status(thm)],[48])).
0.10/0.36	 thf(50,plain,(![SV8:$i,SV7:$i]: ((((cEQ@(f@SV7))@(f@SV8))=$false) | (((cEQ@SV7)@SV8)=$true))),inference(extcnf_not_pos,[status(thm)],[49])).
0.10/0.36	 thf(51,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[32,50,46,43,42,37])).
0.10/0.36	 thf(52,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[51])).
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: 52 ****
0.10/0.36	%**** clause counter: 51 ****
0.10/0.36	
0.10/0.36	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (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:51,loop_count:0,foatp_calls:1,translation:fof_full)
0.10/0.36	EOF