0.07/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.12/0.34	% Computer : n025.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit : 960
0.12/0.34	% WCLimit  : 120
0.12/0.34	% DateTime : Tue Aug  9 02:35:41 EDT 2022
0.12/0.34	% CPUTime  : 
0.12/0.34	
0.12/0.34	 No.of.Axioms: 3
0.12/0.34	
0.12/0.34	 Length.of.Defs: 1613
0.12/0.34	
0.12/0.34	 Contains.Choice.Funs: false
0.12/0.35	(rf:0,axioms:3,ps:3,u:6,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:5,loop_count:0,foatp_calls:0,translation:fof_full)..
0.12/0.38	
0.12/0.38	********************************
0.12/0.38	*   All subproblems solved!    *
0.12/0.38	********************************
0.12/0.38	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,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:54,loop_count:0,foatp_calls:1,translation:fof_full)
0.12/0.38	
0.12/0.38	%**** Beginning of derivation protocol ****
0.12/0.38	% SZS output start CNFRefutation
0.12/0.38	 thf(tp_mworld,type,(mworld: $tType)).
0.12/0.38	 thf(tp_cs,type,(cs: $i)).
0.12/0.38	 thf(tp_eiw_di,type,(eiw_di: ($i>(mworld>$o)))).
0.12/0.38	 thf(tp_john,type,(john: $i)).
0.12/0.38	 thf(tp_mactual,type,(mactual: mworld)).
0.12/0.38	 thf(tp_mand,type,(mand: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
0.12/0.38	 thf(tp_mary,type,(mary: $i)).
0.12/0.38	 thf(tp_math,type,(math: $i)).
0.12/0.38	 thf(tp_mbox,type,(mbox: ((mworld>$o)>(mworld>$o)))).
0.12/0.38	 thf(tp_mdia,type,(mdia: ((mworld>$o)>(mworld>$o)))).
0.12/0.38	 thf(tp_mequiv,type,(mequiv: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
0.12/0.38	 thf(tp_mexists_di,type,(mexists_di: (($i>(mworld>$o))>(mworld>$o)))).
0.12/0.38	 thf(tp_mforall_di,type,(mforall_di: (($i>(mworld>$o))>(mworld>$o)))).
0.12/0.38	 thf(tp_mimplies,type,(mimplies: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
0.12/0.38	 thf(tp_mlocal,type,(mlocal: ((mworld>$o)>$o))).
0.12/0.38	 thf(tp_mnot,type,(mnot: ((mworld>$o)>(mworld>$o)))).
0.12/0.38	 thf(tp_mor,type,(mor: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
0.12/0.38	 thf(tp_mrel,type,(mrel: (mworld>(mworld>$o)))).
0.12/0.38	 thf(tp_psych,type,(psych: $i)).
0.12/0.38	 thf(tp_sK1_X,type,(sK1_X: (mworld>$i))).
0.12/0.38	 thf(tp_sK2_SX0,type,(sK2_SX0: mworld)).
0.12/0.38	 thf(tp_sK3_SY0,type,(sK3_SY0: (mworld>$i))).
0.12/0.38	 thf(tp_sue,type,(sue: $i)).
0.12/0.38	 thf(tp_teach,type,(teach: ($i>($i>(mworld>$o))))).
0.12/0.38	 thf(mand,definition,(mand = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) & (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
0.12/0.38	 thf(mbox,definition,(mbox = (^[Phi:(mworld>$o),W:mworld]: (![V:mworld]: (((mrel@W)@V) => (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
0.12/0.38	 thf(mdia,definition,(mdia = (^[Phi:(mworld>$o),W:mworld]: (?[V:mworld]: (((mrel@W)@V) & (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)).
0.12/0.38	 thf(mequiv,definition,(mequiv = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) <=> (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv)).
0.12/0.38	 thf(mexists_di,definition,(mexists_di = (^[A:($i>(mworld>$o)),W:mworld]: (?[X:$i]: (((eiw_di@X)@W) & ((A@X)@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di)).
0.12/0.38	 thf(mforall_di,definition,(mforall_di = (^[A:($i>(mworld>$o)),W:mworld]: (![X:$i]: (((eiw_di@X)@W) => ((A@X)@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di)).
0.12/0.38	 thf(mimplies,definition,(mimplies = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) => (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
0.12/0.38	 thf(mlocal,definition,(mlocal = (^[Phi:(mworld>$o)]: (Phi@mactual))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal)).
0.12/0.38	 thf(mnot,definition,(mnot = (^[A:(mworld>$o),W:mworld]: (~ (A@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
0.12/0.38	 thf(mor,definition,(mor = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) | (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
0.12/0.38	 thf(1,axiom,(![W:mworld]: ((mrel@W)@W)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive)).
0.12/0.38	 thf(2,axiom,(mlocal@(mbox@((mand@((teach@john)@math))@((mand@(mexists_di@(^[X:$i]: ((teach@X)@cs))))@((mand@((teach@mary)@psych))@((teach@sue)@psych)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',db)).
0.12/0.38	 thf(3,axiom,(![W:mworld]: (?[X:$i]: ((eiw_di@X)@W))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_nonempty)).
0.12/0.38	 thf(4,conjecture,(mlocal@(mbox@(mexists_di@(^[X:$i]: ((teach@X)@cs))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',query)).
0.12/0.38	 thf(5,negated_conjecture,(((mlocal@(mbox@(mexists_di@(^[X:$i]: ((teach@X)@cs)))))=$false)),inference(negate_conjecture,[status(cth)],[4])).
0.12/0.38	 thf(6,plain,(((~ (mlocal@(mbox@(mexists_di@(^[X:$i]: ((teach@X)@cs))))))=$true)),inference(polarity_switch,[status(thm)],[5])).
0.12/0.38	 thf(7,plain,(((![W:mworld]: ((eiw_di@(sK1_X@W))@W))=$true)),inference(extcnf_combined,[status(esa)],[3])).
0.12/0.38	 thf(8,plain,(((![W:mworld]: ((eiw_di@(sK1_X@W))@W))=$true)),inference(copy,[status(thm)],[7])).
0.12/0.38	 thf(9,plain,(((mlocal@(mbox@((mand@((teach@john)@math))@((mand@(mexists_di@(^[X:$i]: ((teach@X)@cs))))@((mand@((teach@mary)@psych))@((teach@sue)@psych))))))=$true)),inference(copy,[status(thm)],[2])).
0.12/0.38	 thf(10,plain,(((![W:mworld]: ((mrel@W)@W))=$true)),inference(copy,[status(thm)],[1])).
0.12/0.38	 thf(11,plain,(((~ (mlocal@(mbox@(mexists_di@(^[X:$i]: ((teach@X)@cs))))))=$true)),inference(copy,[status(thm)],[6])).
0.12/0.38	 thf(12,plain,(((![SX0:mworld]: ((~ ((mrel@mactual)@SX0)) | (~ ((~ (((teach@john)@math)@SX0)) | (~ (~ ((~ (~ (![SX1:$i]: (~ (~ ((~ ((eiw_di@SX1)@SX0)) | (~ (((teach@SX1)@cs)@SX0)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SX0)) | (~ (((teach@sue)@psych)@SX0))))))))))))=$true)),inference(unfold_def,[status(thm)],[9,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor])).
0.12/0.38	 thf(13,plain,(((~ (![SX0:mworld]: ((~ ((mrel@mactual)@SX0)) | (~ (![SX1:$i]: (~ (~ ((~ ((eiw_di@SX1)@SX0)) | (~ (((teach@SX1)@cs)@SX0))))))))))=$true)),inference(unfold_def,[status(thm)],[11,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor])).
0.12/0.38	 thf(14,plain,(![SV1:mworld]: ((((eiw_di@(sK1_X@SV1))@SV1)=$true))),inference(extcnf_forall_pos,[status(thm)],[8])).
0.12/0.38	 thf(15,plain,(![SV2:mworld]: ((((mrel@SV2)@SV2)=$true))),inference(extcnf_forall_pos,[status(thm)],[10])).
0.12/0.38	 thf(16,plain,(![SV3:mworld]: ((((~ ((mrel@mactual)@SV3)) | (~ ((~ (((teach@john)@math)@SV3)) | (~ (~ ((~ (~ (![SY0:$i]: (~ (~ ((~ ((eiw_di@SY0)@SV3)) | (~ (((teach@SY0)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3)))))))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[12])).
0.12/0.38	 thf(17,plain,(((![SX0:mworld]: ((~ ((mrel@mactual)@SX0)) | (~ (![SX1:$i]: (~ (~ ((~ ((eiw_di@SX1)@SX0)) | (~ (((teach@SX1)@cs)@SX0)))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[13])).
0.12/0.38	 thf(18,plain,(![SV3:mworld]: (((~ ((mrel@mactual)@SV3))=$true) | ((~ ((~ (((teach@john)@math)@SV3)) | (~ (~ ((~ (~ (![SY0:$i]: (~ (~ ((~ ((eiw_di@SY0)@SV3)) | (~ (((teach@SY0)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3))))))))))=$true))),inference(extcnf_or_pos,[status(thm)],[16])).
0.12/0.38	 thf(19,plain,((((~ ((mrel@mactual)@sK2_SX0)) | (~ (![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@sK2_SX0)) | (~ (((teach@SY1)@cs)@sK2_SX0))))))))=$false)),inference(extcnf_forall_neg,[status(esa)],[17])).
0.12/0.38	 thf(20,plain,(![SV3:mworld]: ((((mrel@mactual)@SV3)=$false) | ((~ ((~ (((teach@john)@math)@SV3)) | (~ (~ ((~ (~ (![SY0:$i]: (~ (~ ((~ ((eiw_di@SY0)@SV3)) | (~ (((teach@SY0)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3))))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[18])).
0.12/0.38	 thf(21,plain,(((~ ((mrel@mactual)@sK2_SX0))=$false)),inference(extcnf_or_neg,[status(thm)],[19])).
0.12/0.38	 thf(22,plain,(((~ (![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@sK2_SX0)) | (~ (((teach@SY1)@cs)@sK2_SX0)))))))=$false)),inference(extcnf_or_neg,[status(thm)],[19])).
0.12/0.38	 thf(23,plain,(![SV3:mworld]: ((((~ (((teach@john)@math)@SV3)) | (~ (~ ((~ (~ (![SY0:$i]: (~ (~ ((~ ((eiw_di@SY0)@SV3)) | (~ (((teach@SY0)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3)))))))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[20])).
0.12/0.38	 thf(24,plain,((((mrel@mactual)@sK2_SX0)=$true)),inference(extcnf_not_neg,[status(thm)],[21])).
0.12/0.38	 thf(25,plain,(((![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@sK2_SX0)) | (~ (((teach@SY1)@cs)@sK2_SX0))))))=$true)),inference(extcnf_not_neg,[status(thm)],[22])).
0.12/0.38	 thf(26,plain,(![SV3:mworld]: (((~ (((teach@john)@math)@SV3))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[23])).
0.12/0.38	 thf(27,plain,(![SV3:mworld]: (((~ (~ ((~ (~ (![SY0:$i]: (~ (~ ((~ ((eiw_di@SY0)@SV3)) | (~ (((teach@SY0)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3))))))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[23])).
0.12/0.38	 thf(28,plain,(![SV4:$i]: (((~ (~ ((~ ((eiw_di@SV4)@sK2_SX0)) | (~ (((teach@SV4)@cs)@sK2_SX0)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[25])).
0.12/0.38	 thf(29,plain,(![SV3:mworld]: (((((teach@john)@math)@SV3)=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[26])).
0.12/0.38	 thf(30,plain,(![SV3:mworld]: (((~ ((~ (~ (![SY0:$i]: (~ (~ ((~ ((eiw_di@SY0)@SV3)) | (~ (((teach@SY0)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3)))))))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[27])).
0.12/0.38	 thf(31,plain,(![SV4:$i]: (((~ ((~ ((eiw_di@SV4)@sK2_SX0)) | (~ (((teach@SV4)@cs)@sK2_SX0))))=$false))),inference(extcnf_not_pos,[status(thm)],[28])).
0.12/0.38	 thf(32,plain,(![SV3:mworld]: ((((~ (~ (![SY0:$i]: (~ (~ ((~ ((eiw_di@SY0)@SV3)) | (~ (((teach@SY0)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3))))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[30])).
0.12/0.38	 thf(33,plain,(![SV4:$i]: ((((~ ((eiw_di@SV4)@sK2_SX0)) | (~ (((teach@SV4)@cs)@sK2_SX0)))=$true))),inference(extcnf_not_neg,[status(thm)],[31])).
0.12/0.38	 thf(34,plain,(![SV3:mworld]: (((~ (~ (![SY0:$i]: (~ (~ ((~ ((eiw_di@SY0)@SV3)) | (~ (((teach@SY0)@cs)@SV3))))))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[32])).
0.12/0.38	 thf(35,plain,(![SV3:mworld]: (((~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3)))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[32])).
0.12/0.38	 thf(36,plain,(![SV4:$i]: (((~ ((eiw_di@SV4)@sK2_SX0))=$true) | ((~ (((teach@SV4)@cs)@sK2_SX0))=$true))),inference(extcnf_or_pos,[status(thm)],[33])).
0.12/0.38	 thf(37,plain,(![SV3:mworld]: (((~ (![SY0:$i]: (~ (~ ((~ ((eiw_di@SY0)@SV3)) | (~ (((teach@SY0)@cs)@SV3)))))))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[34])).
0.12/0.38	 thf(38,plain,(![SV3:mworld]: (((~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3))))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[35])).
0.12/0.38	 thf(39,plain,(![SV4:$i]: ((((eiw_di@SV4)@sK2_SX0)=$false) | ((~ (((teach@SV4)@cs)@sK2_SX0))=$true))),inference(extcnf_not_pos,[status(thm)],[36])).
0.12/0.38	 thf(40,plain,(![SV3:mworld]: (((![SY0:$i]: (~ (~ ((~ ((eiw_di@SY0)@SV3)) | (~ (((teach@SY0)@cs)@SV3))))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[37])).
0.12/0.38	 thf(41,plain,(![SV3:mworld]: ((((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3)))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[38])).
0.12/0.38	 thf(42,plain,(![SV4:$i]: (((((teach@SV4)@cs)@sK2_SX0)=$false) | (((eiw_di@SV4)@sK2_SX0)=$false))),inference(extcnf_not_pos,[status(thm)],[39])).
0.12/0.38	 thf(43,plain,(![SV3:mworld]: (((~ (~ ((~ ((eiw_di@(sK3_SY0@SV3))@SV3)) | (~ (((teach@(sK3_SY0@SV3))@cs)@SV3)))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_forall_neg,[status(esa)],[40])).
0.12/0.38	 thf(44,plain,(![SV3:mworld]: (((~ (((teach@mary)@psych)@SV3))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[41])).
0.12/0.38	 thf(45,plain,(![SV3:mworld]: (((~ (((teach@sue)@psych)@SV3))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[41])).
0.12/0.38	 thf(46,plain,(![SV3:mworld]: (((~ ((~ ((eiw_di@(sK3_SY0@SV3))@SV3)) | (~ (((teach@(sK3_SY0@SV3))@cs)@SV3))))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[43])).
0.12/0.38	 thf(47,plain,(![SV3:mworld]: (((((teach@mary)@psych)@SV3)=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[44])).
0.12/0.38	 thf(48,plain,(![SV3:mworld]: (((((teach@sue)@psych)@SV3)=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[45])).
0.12/0.38	 thf(49,plain,(![SV3:mworld]: ((((~ ((eiw_di@(sK3_SY0@SV3))@SV3)) | (~ (((teach@(sK3_SY0@SV3))@cs)@SV3)))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[46])).
0.12/0.38	 thf(50,plain,(![SV3:mworld]: (((~ ((eiw_di@(sK3_SY0@SV3))@SV3))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[49])).
0.12/0.38	 thf(51,plain,(![SV3:mworld]: (((~ (((teach@(sK3_SY0@SV3))@cs)@SV3))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[49])).
0.12/0.38	 thf(52,plain,(![SV3:mworld]: ((((eiw_di@(sK3_SY0@SV3))@SV3)=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[50])).
0.12/0.38	 thf(53,plain,(![SV3:mworld]: (((((teach@(sK3_SY0@SV3))@cs)@SV3)=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[51])).
0.12/0.38	 thf(54,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[14,53,52,48,47,42,29,24,15])).
0.12/0.38	 thf(55,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[54])).
0.12/0.38	% SZS output end CNFRefutation
0.12/0.38	
0.12/0.38	%**** End of derivation protocol ****
0.12/0.38	%**** no. of clauses in derivation: 55 ****
0.12/0.38	%**** clause counter: 54 ****
0.12/0.38	
0.12/0.38	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,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:54,loop_count:0,foatp_calls:1,translation:fof_full)
0.12/0.38	EOF