0.00/0.09	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.09/0.29	% Computer : n010.cluster.edu
0.09/0.29	% Model    : x86_64 x86_64
0.09/0.29	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.29	% Memory   : 8042.1875MB
0.09/0.29	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.29	% CPULimit : 960
0.09/0.29	% WCLimit  : 120
0.09/0.29	% DateTime : Tue Aug  9 05:06:50 EDT 2022
0.09/0.30	% CPUTime  : 
0.09/0.30	
0.09/0.30	 No.of.Axioms: 0
0.09/0.30	
0.09/0.30	 Length.of.Defs: 5293
0.09/0.30	
0.09/0.30	 Contains.Choice.Funs: false
0.09/0.30	(rf:0,axioms:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full).
0.14/0.37	
0.14/0.37	********************************
0.14/0.37	*   All subproblems solved!    *
0.14/0.37	********************************
0.14/0.37	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,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:22,loop_count:0,foatp_calls:1,translation:fof_full)
0.14/0.37	
0.14/0.37	%**** Beginning of derivation protocol ****
0.14/0.37	% SZS output start CNFRefutation
0.14/0.37	 thf(tp_mu,type,(mu: $tType)).
0.14/0.37	 thf(tp_mand,type,(mand: (($i>$o)>(($i>$o)>($i>$o))))).
0.14/0.37	 thf(tp_mbox,type,(mbox: (($i>($i>$o))>(($i>$o)>($i>$o))))).
0.14/0.37	 thf(tp_mcountersatisfiable,type,(mcountersatisfiable: (($i>$o)>$o))).
0.14/0.37	 thf(tp_mdia,type,(mdia: (($i>($i>$o))>(($i>$o)>($i>$o))))).
0.14/0.37	 thf(tp_meq_ind,type,(meq_ind: (mu>(mu>($i>$o))))).
0.14/0.37	 thf(tp_meq_prop,type,(meq_prop: (($i>$o)>(($i>$o)>($i>$o))))).
0.14/0.37	 thf(tp_mequiv,type,(mequiv: (($i>$o)>(($i>$o)>($i>$o))))).
0.14/0.37	 thf(tp_meuclidean,type,(meuclidean: (($i>($i>$o))>$o))).
0.14/0.37	 thf(tp_mexists_ind,type,(mexists_ind: ((mu>($i>$o))>($i>$o)))).
0.14/0.37	 thf(tp_mexists_prop,type,(mexists_prop: ((($i>$o)>($i>$o))>($i>$o)))).
0.14/0.37	 thf(tp_mfalse,type,(mfalse: ($i>$o))).
0.14/0.37	 thf(tp_mforall_ind,type,(mforall_ind: ((mu>($i>$o))>($i>$o)))).
0.14/0.37	 thf(tp_mforall_prop,type,(mforall_prop: ((($i>$o)>($i>$o))>($i>$o)))).
0.14/0.37	 thf(tp_mfunctional,type,(mfunctional: (($i>($i>$o))>$o))).
0.14/0.37	 thf(tp_mimplied,type,(mimplied: (($i>$o)>(($i>$o)>($i>$o))))).
0.14/0.37	 thf(tp_mimplies,type,(mimplies: (($i>$o)>(($i>$o)>($i>$o))))).
0.14/0.37	 thf(tp_minvalid,type,(minvalid: (($i>$o)>$o))).
0.14/0.37	 thf(tp_mnot,type,(mnot: (($i>$o)>($i>$o)))).
0.14/0.37	 thf(tp_mor,type,(mor: (($i>$o)>(($i>$o)>($i>$o))))).
0.14/0.37	 thf(tp_mpartially_functional,type,(mpartially_functional: (($i>($i>$o))>$o))).
0.14/0.37	 thf(tp_mreflexive,type,(mreflexive: (($i>($i>$o))>$o))).
0.14/0.37	 thf(tp_msatisfiable,type,(msatisfiable: (($i>$o)>$o))).
0.14/0.37	 thf(tp_mserial,type,(mserial: (($i>($i>$o))>$o))).
0.14/0.37	 thf(tp_msymmetric,type,(msymmetric: (($i>($i>$o))>$o))).
0.14/0.37	 thf(tp_mtransitive,type,(mtransitive: (($i>($i>$o))>$o))).
0.14/0.37	 thf(tp_mtrue,type,(mtrue: ($i>$o))).
0.14/0.37	 thf(tp_mvalid,type,(mvalid: (($i>$o)>$o))).
0.14/0.37	 thf(tp_mweakly_connected,type,(mweakly_connected: (($i>($i>$o))>$o))).
0.14/0.37	 thf(tp_mweakly_dense,type,(mweakly_dense: (($i>($i>$o))>$o))).
0.14/0.37	 thf(tp_mweakly_directed,type,(mweakly_directed: (($i>($i>$o))>$o))).
0.14/0.37	 thf(tp_mxor,type,(mxor: (($i>$o)>(($i>$o)>($i>$o))))).
0.14/0.37	 thf(tp_sK1_SY2,type,(sK1_SY2: ($i>(($i>($i>$o))>$i)))).
0.14/0.37	 thf(mand,definition,(mand = (^[Phi:($i>$o),Psi:($i>$o)]: (mnot@((mor@(mnot@Phi))@(mnot@Psi))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
0.14/0.37	 thf(mbox,definition,(mbox = (^[R:($i>($i>$o)),Phi:($i>$o),W:$i]: (![V:$i]: ((~ ((R@W)@V)) | (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
0.14/0.37	 thf(mcountersatisfiable,definition,(mcountersatisfiable = (^[Phi:($i>$o)]: (?[W:$i]: (~ (Phi@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mcountersatisfiable)).
0.14/0.37	 thf(mdia,definition,(mdia = (^[R:($i>($i>$o)),Phi:($i>$o)]: (mnot@((mbox@R)@(mnot@Phi))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)).
0.14/0.37	 thf(meq_ind,definition,(meq_ind = (^[X:mu,Y:mu,W:$i]: (X = Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_ind)).
0.14/0.37	 thf(meq_prop,definition,(meq_prop = (^[X:($i>$o),Y:($i>$o),W:$i]: ((X@W) = (Y@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_prop)).
0.14/0.37	 thf(mequiv,definition,(mequiv = (^[Phi:($i>$o),Psi:($i>$o)]: ((mand@((mimplies@Phi)@Psi))@((mimplies@Psi)@Phi)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv)).
0.14/0.37	 thf(meuclidean,definition,(meuclidean = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => ((R@T)@U))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean)).
0.14/0.37	 thf(mexists_ind,definition,(mexists_ind = (^[Phi:(mu>($i>$o))]: (mnot@(mforall_ind@(^[X:mu]: (mnot@(Phi@X))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)).
0.14/0.37	 thf(mexists_prop,definition,(mexists_prop = (^[Phi:(($i>$o)>($i>$o))]: (mnot@(mforall_prop@(^[P:($i>$o)]: (mnot@(Phi@P))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_prop)).
0.14/0.37	 thf(mfalse,definition,(mfalse = (mnot@mtrue)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse)).
0.14/0.37	 thf(mforall_ind,definition,(mforall_ind = (^[Phi:(mu>($i>$o)),W:$i]: (![X:mu]: ((Phi@X)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
0.14/0.37	 thf(mforall_prop,definition,(mforall_prop = (^[Phi:(($i>$o)>($i>$o)),W:$i]: (![P:($i>$o)]: ((Phi@P)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop)).
0.14/0.37	 thf(mfunctional,definition,(mfunctional = (^[R:($i>($i>$o))]: (![S:$i]: (?[T:$i]: (((R@S)@T) & (![U:$i]: (((R@S)@U) => (T = U)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfunctional)).
0.14/0.37	 thf(mimplied,definition,(mimplied = (^[Phi:($i>$o),Psi:($i>$o)]: ((mor@(mnot@Psi))@Phi))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied)).
0.14/0.37	 thf(mimplies,definition,(mimplies = (^[Phi:($i>$o),Psi:($i>$o)]: ((mor@(mnot@Phi))@Psi))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
0.14/0.37	 thf(minvalid,definition,(minvalid = (^[Phi:($i>$o)]: (![W:$i]: (~ (Phi@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid)).
0.14/0.37	 thf(mnot,definition,(mnot = (^[Phi:($i>$o),W:$i]: (~ (Phi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
0.14/0.37	 thf(mor,definition,(mor = (^[Phi:($i>$o),Psi:($i>$o),W:$i]: ((Phi@W) | (Psi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
0.14/0.37	 thf(mpartially_functional,definition,(mpartially_functional = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => (T = U))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mpartially_functional)).
0.14/0.37	 thf(mreflexive,definition,(mreflexive = (^[R:($i>($i>$o))]: (![S:$i]: ((R@S)@S)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive)).
0.14/0.37	 thf(msatisfiable,definition,(msatisfiable = (^[Phi:($i>$o)]: (?[W:$i]: (Phi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable)).
0.14/0.37	 thf(mserial,definition,(mserial = (^[R:($i>($i>$o))]: (![S:$i]: (?[T:$i]: ((R@S)@T))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial)).
0.14/0.37	 thf(msymmetric,definition,(msymmetric = (^[R:($i>($i>$o))]: (![S:$i,T:$i]: (((R@S)@T) => ((R@T)@S))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)).
0.14/0.37	 thf(mtransitive,definition,(mtransitive = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@T)@U)) => ((R@S)@U))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive)).
0.14/0.37	 thf(mtrue,definition,(mtrue = (^[W:$i]: $true)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue)).
0.14/0.37	 thf(mvalid,definition,(mvalid = (^[Phi:($i>$o)]: (![W:$i]: (Phi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
0.14/0.37	 thf(mweakly_connected,definition,(mweakly_connected = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => ((((R@T)@U) | (T = U)) | ((R@U)@T)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_connected)).
0.14/0.37	 thf(mweakly_dense,definition,(mweakly_dense = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: (((R@S)@T) => (?[U:$i]: (((R@S)@U) & ((R@U)@T))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_dense)).
0.14/0.37	 thf(mweakly_directed,definition,(mweakly_directed = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => (?[V:$i]: (((R@T)@V) & ((R@U)@V))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_directed)).
0.14/0.37	 thf(mxor,definition,(mxor = (^[Phi:($i>$o),Psi:($i>$o)]: (mnot@((mequiv@Phi)@Psi)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxor)).
0.14/0.37	 thf(1,conjecture,(?[R:($i>($i>$o))]: (~ (mvalid@((mdia@R)@mtrue)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
0.14/0.37	 thf(2,negated_conjecture,(((?[R:($i>($i>$o))]: (~ (mvalid@((mdia@R)@mtrue))))=$false)),inference(negate_conjecture,[status(cth)],[1])).
0.14/0.37	 thf(3,plain,(((~ (?[R:($i>($i>$o))]: (~ (mvalid@((mdia@R)@mtrue)))))=$true)),inference(polarity_switch,[status(thm)],[2])).
0.14/0.37	 thf(4,plain,(((![R:($i>($i>$o))]: (mvalid@((mdia@R)@mtrue)))=$true)),inference(extcnf_combined,[status(esa)],[3])).
0.14/0.37	 thf(5,plain,(((![R:($i>($i>$o))]: (mvalid@((mdia@R)@mtrue)))=$true)),inference(copy,[status(thm)],[4])).
0.14/0.37	 thf(6,plain,(((![SX0:($i>($i>$o)),SX1:$i]: (~ (![SX2:$i]: ((~ ((SX0@SX1)@SX2)) | (~ ($true))))))=$true)),inference(unfold_def,[status(thm)],[5,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])).
0.14/0.37	 thf(7,plain,(![SV1:($i>($i>$o))]: (((![SY0:$i]: (~ (![SY1:$i]: ((~ ((SV1@SY0)@SY1)) | (~ ($true))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[6])).
0.14/0.37	 thf(8,plain,(![SV2:$i,SV1:($i>($i>$o))]: (((~ (![SY2:$i]: ((~ ((SV1@SV2)@SY2)) | (~ ($true)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[7])).
0.14/0.37	 thf(9,plain,(![SV2:$i,SV1:($i>($i>$o))]: (((![SY2:$i]: ((~ ((SV1@SV2)@SY2)) | (~ ($true))))=$false))),inference(extcnf_not_pos,[status(thm)],[8])).
0.14/0.37	 thf(10,plain,(![SV2:$i,SV1:($i>($i>$o))]: ((((~ ((SV1@SV2)@((sK1_SY2@SV2)@SV1))) | (~ ($true)))=$false))),inference(extcnf_forall_neg,[status(esa)],[9])).
0.14/0.37	 thf(11,plain,(![SV2:$i,SV1:($i>($i>$o))]: (((~ ((SV1@SV2)@((sK1_SY2@SV2)@SV1)))=$false))),inference(extcnf_or_neg,[status(thm)],[10])).
0.14/0.37	 thf(13,plain,(![SV2:$i,SV1:($i>($i>$o))]: ((((SV1@SV2)@((sK1_SY2@SV2)@SV1))=$true))),inference(extcnf_not_neg,[status(thm)],[11])).
0.14/0.37	 thf(16,plain,((($false)=$true)),inference(prim_subst,[status(thm)],[13:[bind(SV1,$thf(^[SV6:$i,SV7:$i]: $false))]])).
0.14/0.37	 thf(22,plain,((($false)=$true)),inference(sim,[status(thm)],[16])).
0.14/0.37	 thf(23,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[22])).
0.14/0.37	% SZS output end CNFRefutation
0.14/0.37	
0.14/0.37	%**** End of derivation protocol ****
0.14/0.37	%**** no. of clauses in derivation: 15 ****
0.14/0.37	%**** clause counter: 22 ****
0.14/0.37	
0.14/0.37	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,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:22,loop_count:0,foatp_calls:1,translation:fof_full)
0.14/0.37	EOF