0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.13/0.34	% Computer   : n014.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 180
0.13/0.34	% DateTime   : Thu Aug 29 10:03:54 EDT 2019
0.13/0.34	% CPUTime    : 
0.13/0.35	
0.13/0.35	 No.of.Axioms: 0
0.13/0.35	
0.13/0.35	 Length.of.Defs: 0
0.13/0.35	
0.13/0.35	 Contains.Choice.Funs: false
0.13/0.35	(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:22,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)...
0.13/0.39	
0.13/0.39	********************************
0.13/0.39	*   All subproblems solved!    *
0.13/0.39	********************************
0.13/0.39	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:22,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:53,loop_count:0,foatp_calls:1,translation:fof_full)
0.13/0.39	
0.13/0.39	%**** Beginning of derivation protocol ****
0.13/0.39	% SZS output start CNFRefutation
0.13/0.39	 thf(tp_cM,type,(cM: ($i>($i>$o)))).
0.13/0.39	 thf(tp_cN,type,(cN: ($i>($i>$o)))).
0.13/0.39	 thf(tp_cP,type,(cP: ($i>$o))).
0.13/0.39	 thf(tp_sK1_Xz,type,(sK1_Xz: $i)).
0.13/0.39	 thf(tp_sK2_Xu,type,(sK2_Xu: ($i>$i))).
0.13/0.39	 thf(tp_sK3_Xu,type,(sK3_Xu: $i)).
0.13/0.39	 thf(1,conjecture,((((![Xw:$i,Xz:$i]: ((((cM@Xw)@Xz) | ((cN@Xw)@Xz)) => (((((cN@Xz)@Xw) | ((cM@Xz)@Xz)) | ((cN@Xz)@Xz)) | ((cM@Xz)@Xw)))) & (![Xw:$i]: (?[Xu:$i]: ((![Xv:$i]: ((cM@Xu)@Xv)) | ((cN@Xu)@Xw))))) & (![Xx:$i]: ((cP@Xx) <= (?[Xy:$i]: (((cM@Xx)@Xy) | ((cN@Xx)@Xy)))))) => (![Xz:$i]: (cP@Xz))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM271)).
0.13/0.39	 thf(2,negated_conjecture,((((((![Xw:$i,Xz:$i]: ((((cM@Xw)@Xz) | ((cN@Xw)@Xz)) => (((((cN@Xz)@Xw) | ((cM@Xz)@Xz)) | ((cN@Xz)@Xz)) | ((cM@Xz)@Xw)))) & (![Xw:$i]: (?[Xu:$i]: ((![Xv:$i]: ((cM@Xu)@Xv)) | ((cN@Xu)@Xw))))) & (![Xx:$i]: ((cP@Xx) <= (?[Xy:$i]: (((cM@Xx)@Xy) | ((cN@Xx)@Xy)))))) => (![Xz:$i]: (cP@Xz)))=$false)),inference(negate_conjecture,[status(cth)],[1])).
0.13/0.39	 thf(3,plain,((((((![Xw:$i,Xz:$i]: ((((cM@Xw)@Xz) | ((cN@Xw)@Xz)) => (((((cN@Xz)@Xw) | ((cM@Xz)@Xz)) | ((cN@Xz)@Xz)) | ((cM@Xz)@Xw)))) & (![Xw:$i]: (?[Xu:$i]: ((![Xv:$i]: ((cM@Xu)@Xv)) | ((cN@Xu)@Xw))))) & (![Xx:$i]: ((cP@Xx) <= (?[Xy:$i]: (((cM@Xx)@Xy) | ((cN@Xx)@Xy)))))) => (![Xz:$i]: (cP@Xz)))=$false)),inference(unfold_def,[status(thm)],[2])).
0.13/0.39	 thf(4,plain,(((![Xw:$i,Xz:$i]: ((((cM@Xw)@Xz) | ((cN@Xw)@Xz)) => (((((cN@Xz)@Xw) | ((cM@Xz)@Xz)) | ((cN@Xz)@Xz)) | ((cM@Xz)@Xw))))=$true)),inference(standard_cnf,[status(thm)],[3])).
0.13/0.39	 thf(5,plain,(((![Xw:$i]: (?[Xu:$i]: ((![Xv:$i]: ((cM@Xu)@Xv)) | ((cN@Xu)@Xw))))=$true)),inference(standard_cnf,[status(thm)],[3])).
0.13/0.39	 thf(6,plain,(((![Xx:$i]: ((cP@Xx) <= (?[Xy:$i]: (((cM@Xx)@Xy) | ((cN@Xx)@Xy)))))=$true)),inference(standard_cnf,[status(thm)],[3])).
0.13/0.39	 thf(7,plain,(((![Xz:$i]: (cP@Xz))=$false)),inference(standard_cnf,[status(thm)],[3])).
0.13/0.39	 thf(8,plain,(((~ (![Xz:$i]: (cP@Xz)))=$true)),inference(polarity_switch,[status(thm)],[7])).
0.13/0.39	 thf(9,plain,(((~ (cP@sK1_Xz))=$true)),inference(extcnf_combined,[status(esa)],[8])).
0.13/0.39	 thf(10,plain,((((![Xw:$i,Xz:$i]: ((~ ((cM@Xw)@Xz)) | (((cM@Xz)@Xw) | (((cN@Xz)@Xz) | (((cM@Xz)@Xz) | ((cN@Xz)@Xw)))))) & (![Xw:$i,Xz:$i]: ((~ ((cN@Xw)@Xz)) | (((cM@Xz)@Xw) | (((cN@Xz)@Xz) | (((cM@Xz)@Xz) | ((cN@Xz)@Xw)))))))=$true)),inference(extcnf_combined,[status(esa)],[4])).
0.13/0.39	 thf(11,plain,((((![SY8:$i]: ((cM@sK3_Xu)@SY8)) | (![Xw:$i]: ((cN@(sK2_Xu@Xw))@Xw)))=$true)),inference(extcnf_combined,[status(esa)],[5])).
0.13/0.39	 thf(12,plain,(((![Xx:$i]: (((![Xy:$i]: (~ ((cM@Xx)@Xy))) & (![Xy:$i]: (~ ((cN@Xx)@Xy)))) | (cP@Xx)))=$true)),inference(extcnf_combined,[status(esa)],[6])).
0.13/0.39	 thf(13,plain,(((![Xx:$i]: (((![Xy:$i]: (~ ((cM@Xx)@Xy))) & (![Xy:$i]: (~ ((cN@Xx)@Xy)))) | (cP@Xx)))=$true)),inference(copy,[status(thm)],[12])).
0.13/0.39	 thf(14,plain,((((![SY8:$i]: ((cM@sK3_Xu)@SY8)) | (![Xw:$i]: ((cN@(sK2_Xu@Xw))@Xw)))=$true)),inference(copy,[status(thm)],[11])).
0.13/0.39	 thf(15,plain,((((![Xw:$i,Xz:$i]: ((~ ((cM@Xw)@Xz)) | (((cM@Xz)@Xw) | (((cN@Xz)@Xz) | (((cM@Xz)@Xz) | ((cN@Xz)@Xw)))))) & (![Xw:$i,Xz:$i]: ((~ ((cN@Xw)@Xz)) | (((cM@Xz)@Xw) | (((cN@Xz)@Xz) | (((cM@Xz)@Xz) | ((cN@Xz)@Xw)))))))=$true)),inference(copy,[status(thm)],[10])).
0.13/0.39	 thf(16,plain,(((~ (cP@sK1_Xz))=$true)),inference(copy,[status(thm)],[9])).
0.13/0.39	 thf(17,plain,(((![SX0:$i]: ((~ ((~ (![SX1:$i]: (~ ((cM@SX0)@SX1)))) | (~ (![SX1:$i]: (~ ((cN@SX0)@SX1)))))) | (cP@SX0)))=$true)),inference(unfold_def,[status(thm)],[13])).
0.13/0.39	 thf(18,plain,(((~ ((~ (![SX0:$i,SX1:$i]: ((~ ((cM@SX0)@SX1)) | (((cM@SX1)@SX0) | (((cN@SX1)@SX1) | (((cM@SX1)@SX1) | ((cN@SX1)@SX0))))))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cN@SX0)@SX1)) | (((cM@SX1)@SX0) | (((cN@SX1)@SX1) | (((cM@SX1)@SX1) | ((cN@SX1)@SX0)))))))))=$true)),inference(unfold_def,[status(thm)],[15])).
0.13/0.39	 thf(19,plain,(((![SY8:$i]: ((cM@sK3_Xu)@SY8))=$true) | ((![Xw:$i]: ((cN@(sK2_Xu@Xw))@Xw))=$true)),inference(extcnf_or_pos,[status(thm)],[14])).
0.13/0.39	 thf(20,plain,(((cP@sK1_Xz)=$false)),inference(extcnf_not_pos,[status(thm)],[16])).
0.13/0.39	 thf(21,plain,(![SV1:$i]: ((((~ ((~ (![SY9:$i]: (~ ((cM@SV1)@SY9)))) | (~ (![SY10:$i]: (~ ((cN@SV1)@SY10)))))) | (cP@SV1))=$true))),inference(extcnf_forall_pos,[status(thm)],[17])).
0.13/0.39	 thf(22,plain,((((~ (![SX0:$i,SX1:$i]: ((~ ((cM@SX0)@SX1)) | (((cM@SX1)@SX0) | (((cN@SX1)@SX1) | (((cM@SX1)@SX1) | ((cN@SX1)@SX0))))))) | (~ (![SX0:$i,SX1:$i]: ((~ ((cN@SX0)@SX1)) | (((cM@SX1)@SX0) | (((cN@SX1)@SX1) | (((cM@SX1)@SX1) | ((cN@SX1)@SX0))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[18])).
0.13/0.39	 thf(23,plain,(![SV2:$i]: ((((cM@sK3_Xu)@SV2)=$true) | ((![Xw:$i]: ((cN@(sK2_Xu@Xw))@Xw))=$true))),inference(extcnf_forall_pos,[status(thm)],[19])).
0.13/0.39	 thf(24,plain,(![SV1:$i]: (((~ ((~ (![SY9:$i]: (~ ((cM@SV1)@SY9)))) | (~ (![SY10:$i]: (~ ((cN@SV1)@SY10))))))=$true) | ((cP@SV1)=$true))),inference(extcnf_or_pos,[status(thm)],[21])).
0.13/0.39	 thf(25,plain,(((~ (![SX0:$i,SX1:$i]: ((~ ((cM@SX0)@SX1)) | (((cM@SX1)@SX0) | (((cN@SX1)@SX1) | (((cM@SX1)@SX1) | ((cN@SX1)@SX0)))))))=$false)),inference(extcnf_or_neg,[status(thm)],[22])).
0.13/0.39	 thf(26,plain,(((~ (![SX0:$i,SX1:$i]: ((~ ((cN@SX0)@SX1)) | (((cM@SX1)@SX0) | (((cN@SX1)@SX1) | (((cM@SX1)@SX1) | ((cN@SX1)@SX0)))))))=$false)),inference(extcnf_or_neg,[status(thm)],[22])).
0.13/0.39	 thf(27,plain,(![SV2:$i,SV3:$i]: ((((cN@(sK2_Xu@SV3))@SV3)=$true) | (((cM@sK3_Xu)@SV2)=$true))),inference(extcnf_forall_pos,[status(thm)],[23])).
0.13/0.39	 thf(28,plain,(![SV1:$i]: ((((~ (![SY9:$i]: (~ ((cM@SV1)@SY9)))) | (~ (![SY10:$i]: (~ ((cN@SV1)@SY10)))))=$false) | ((cP@SV1)=$true))),inference(extcnf_not_pos,[status(thm)],[24])).
0.13/0.39	 thf(29,plain,(((![SX0:$i,SX1:$i]: ((~ ((cM@SX0)@SX1)) | (((cM@SX1)@SX0) | (((cN@SX1)@SX1) | (((cM@SX1)@SX1) | ((cN@SX1)@SX0))))))=$true)),inference(extcnf_not_neg,[status(thm)],[25])).
0.13/0.39	 thf(30,plain,(((![SX0:$i,SX1:$i]: ((~ ((cN@SX0)@SX1)) | (((cM@SX1)@SX0) | (((cN@SX1)@SX1) | (((cM@SX1)@SX1) | ((cN@SX1)@SX0))))))=$true)),inference(extcnf_not_neg,[status(thm)],[26])).
0.13/0.39	 thf(31,plain,(![SV1:$i]: (((~ (![SY9:$i]: (~ ((cM@SV1)@SY9))))=$false) | ((cP@SV1)=$true))),inference(extcnf_or_neg,[status(thm)],[28])).
0.13/0.39	 thf(32,plain,(![SV1:$i]: (((~ (![SY10:$i]: (~ ((cN@SV1)@SY10))))=$false) | ((cP@SV1)=$true))),inference(extcnf_or_neg,[status(thm)],[28])).
0.13/0.39	 thf(33,plain,(![SV4:$i]: (((![SY11:$i]: ((~ ((cM@SV4)@SY11)) | (((cM@SY11)@SV4) | (((cN@SY11)@SY11) | (((cM@SY11)@SY11) | ((cN@SY11)@SV4))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[29])).
0.13/0.39	 thf(34,plain,(![SV5:$i]: (((![SY12:$i]: ((~ ((cN@SV5)@SY12)) | (((cM@SY12)@SV5) | (((cN@SY12)@SY12) | (((cM@SY12)@SY12) | ((cN@SY12)@SV5))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[30])).
0.13/0.39	 thf(35,plain,(![SV1:$i]: (((![SY9:$i]: (~ ((cM@SV1)@SY9)))=$true) | ((cP@SV1)=$true))),inference(extcnf_not_neg,[status(thm)],[31])).
0.13/0.39	 thf(36,plain,(![SV1:$i]: (((![SY10:$i]: (~ ((cN@SV1)@SY10)))=$true) | ((cP@SV1)=$true))),inference(extcnf_not_neg,[status(thm)],[32])).
0.13/0.39	 thf(37,plain,(![SV6:$i,SV4:$i]: ((((~ ((cM@SV4)@SV6)) | (((cM@SV6)@SV4) | (((cN@SV6)@SV6) | (((cM@SV6)@SV6) | ((cN@SV6)@SV4)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[33])).
0.13/0.39	 thf(38,plain,(![SV7:$i,SV5:$i]: ((((~ ((cN@SV5)@SV7)) | (((cM@SV7)@SV5) | (((cN@SV7)@SV7) | (((cM@SV7)@SV7) | ((cN@SV7)@SV5)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[34])).
0.13/0.39	 thf(39,plain,(![SV8:$i,SV1:$i]: (((~ ((cM@SV1)@SV8))=$true) | ((cP@SV1)=$true))),inference(extcnf_forall_pos,[status(thm)],[35])).
0.13/0.39	 thf(40,plain,(![SV9:$i,SV1:$i]: (((~ ((cN@SV1)@SV9))=$true) | ((cP@SV1)=$true))),inference(extcnf_forall_pos,[status(thm)],[36])).
0.13/0.39	 thf(41,plain,(![SV6:$i,SV4:$i]: (((~ ((cM@SV4)@SV6))=$true) | ((((cM@SV6)@SV4) | (((cN@SV6)@SV6) | (((cM@SV6)@SV6) | ((cN@SV6)@SV4))))=$true))),inference(extcnf_or_pos,[status(thm)],[37])).
0.13/0.39	 thf(42,plain,(![SV7:$i,SV5:$i]: (((~ ((cN@SV5)@SV7))=$true) | ((((cM@SV7)@SV5) | (((cN@SV7)@SV7) | (((cM@SV7)@SV7) | ((cN@SV7)@SV5))))=$true))),inference(extcnf_or_pos,[status(thm)],[38])).
0.13/0.39	 thf(43,plain,(![SV8:$i,SV1:$i]: ((((cM@SV1)@SV8)=$false) | ((cP@SV1)=$true))),inference(extcnf_not_pos,[status(thm)],[39])).
0.13/0.39	 thf(44,plain,(![SV9:$i,SV1:$i]: ((((cN@SV1)@SV9)=$false) | ((cP@SV1)=$true))),inference(extcnf_not_pos,[status(thm)],[40])).
0.13/0.39	 thf(45,plain,(![SV6:$i,SV4:$i]: ((((cM@SV4)@SV6)=$false) | ((((cM@SV6)@SV4) | (((cN@SV6)@SV6) | (((cM@SV6)@SV6) | ((cN@SV6)@SV4))))=$true))),inference(extcnf_not_pos,[status(thm)],[41])).
0.13/0.39	 thf(46,plain,(![SV7:$i,SV5:$i]: ((((cN@SV5)@SV7)=$false) | ((((cM@SV7)@SV5) | (((cN@SV7)@SV7) | (((cM@SV7)@SV7) | ((cN@SV7)@SV5))))=$true))),inference(extcnf_not_pos,[status(thm)],[42])).
0.13/0.39	 thf(47,plain,(![SV4:$i,SV6:$i]: ((((cM@SV6)@SV4)=$true) | ((((cN@SV6)@SV6) | (((cM@SV6)@SV6) | ((cN@SV6)@SV4)))=$true) | (((cM@SV4)@SV6)=$false))),inference(extcnf_or_pos,[status(thm)],[45])).
0.13/0.39	 thf(48,plain,(![SV5:$i,SV7:$i]: ((((cM@SV7)@SV5)=$true) | ((((cN@SV7)@SV7) | (((cM@SV7)@SV7) | ((cN@SV7)@SV5)))=$true) | (((cN@SV5)@SV7)=$false))),inference(extcnf_or_pos,[status(thm)],[46])).
0.13/0.39	 thf(49,plain,(![SV4:$i,SV6:$i]: ((((cN@SV6)@SV6)=$true) | ((((cM@SV6)@SV6) | ((cN@SV6)@SV4))=$true) | (((cM@SV6)@SV4)=$true) | (((cM@SV4)@SV6)=$false))),inference(extcnf_or_pos,[status(thm)],[47])).
0.13/0.39	 thf(50,plain,(![SV5:$i,SV7:$i]: ((((cN@SV7)@SV7)=$true) | ((((cM@SV7)@SV7) | ((cN@SV7)@SV5))=$true) | (((cM@SV7)@SV5)=$true) | (((cN@SV5)@SV7)=$false))),inference(extcnf_or_pos,[status(thm)],[48])).
0.13/0.39	 thf(51,plain,(![SV4:$i,SV6:$i]: ((((cM@SV6)@SV6)=$true) | (((cN@SV6)@SV4)=$true) | (((cN@SV6)@SV6)=$true) | (((cM@SV6)@SV4)=$true) | (((cM@SV4)@SV6)=$false))),inference(extcnf_or_pos,[status(thm)],[49])).
0.13/0.39	 thf(52,plain,(![SV5:$i,SV7:$i]: ((((cM@SV7)@SV7)=$true) | (((cN@SV7)@SV5)=$true) | (((cN@SV7)@SV7)=$true) | (((cM@SV7)@SV5)=$true) | (((cN@SV5)@SV7)=$false))),inference(extcnf_or_pos,[status(thm)],[50])).
0.13/0.39	 thf(53,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[20,52,51,44,43,27])).
0.13/0.39	 thf(54,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[53])).
0.13/0.39	% SZS output end CNFRefutation
0.13/0.39	
0.13/0.39	%**** End of derivation protocol ****
0.13/0.39	%**** no. of clauses in derivation: 54 ****
0.13/0.39	%**** clause counter: 53 ****
0.13/0.39	
0.13/0.39	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:22,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:53,loop_count:0,foatp_calls:1,translation:fof_full)
0.13/0.39	EOF