0.12/0.13	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.14	% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.15/0.35	% Computer : n028.cluster.edu
0.15/0.35	% Model    : x86_64 x86_64
0.15/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.35	% Memory   : 8042.1875MB
0.15/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.35	% CPULimit : 1440
0.15/0.35	% WCLimit  : 180
0.15/0.35	% DateTime : Thu Jul  4 07:54:24 EDT 2024
0.15/0.35	% CPUTime  : 
0.15/0.35	
0.15/0.35	 No.of.Axioms: 2
0.15/0.35	
0.15/0.35	 Length.of.Defs: 3623
0.15/0.35	
0.15/0.35	 Contains.Choice.Funs: false
0.15/0.36	(rf:0,axioms:2,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:4,loop_count:0,foatp_calls:0,translation:fof_full)...
0.15/0.41	
0.15/0.41	********************************
0.15/0.41	*   All subproblems solved!    *
0.15/0.41	********************************
0.15/0.41	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:44,loop_count:0,foatp_calls:1,translation:fof_full)
0.15/0.41	
0.15/0.41	%**** Beginning of derivation protocol ****
0.15/0.41	% SZS output start CNFRefutation
0.15/0.41	 thf(tp_mu,type,(mu: $tType)).
0.15/0.41	 thf(tp_god,type,(god: (mu>($i>$o)))).
0.15/0.41	 thf(tp_mand,type,(mand: (($i>$o)>(($i>$o)>($i>$o))))).
0.15/0.41	 thf(tp_mbox,type,(mbox: (($i>$o)>($i>$o)))).
0.15/0.41	 thf(tp_mbox_generic,type,(mbox_generic: (($i>($i>$o))>(($i>$o)>($i>$o))))).
0.15/0.41	 thf(tp_mdia,type,(mdia: (($i>$o)>($i>$o)))).
0.15/0.41	 thf(tp_mdia_generic,type,(mdia_generic: (($i>($i>$o))>(($i>$o)>($i>$o))))).
0.15/0.41	 thf(tp_meq_ind,type,(meq_ind: (mu>(mu>($i>$o))))).
0.15/0.41	 thf(tp_mequiv,type,(mequiv: (($i>$o)>(($i>$o)>($i>$o))))).
0.15/0.41	 thf(tp_mexists_ind,type,(mexists_ind: ((mu>($i>$o))>($i>$o)))).
0.15/0.41	 thf(tp_mexists_indset,type,(mexists_indset: (((mu>($i>$o))>($i>$o))>($i>$o)))).
0.15/0.41	 thf(tp_mexists_prop,type,(mexists_prop: ((($i>$o)>($i>$o))>($i>$o)))).
0.15/0.41	 thf(tp_mfalse,type,(mfalse: ($i>$o))).
0.15/0.41	 thf(tp_mforall_ind,type,(mforall_ind: ((mu>($i>$o))>($i>$o)))).
0.15/0.41	 thf(tp_mforall_indset,type,(mforall_indset: (((mu>($i>$o))>($i>$o))>($i>$o)))).
0.15/0.41	 thf(tp_mforall_prop,type,(mforall_prop: ((($i>$o)>($i>$o))>($i>$o)))).
0.15/0.41	 thf(tp_mimplied,type,(mimplied: (($i>$o)>(($i>$o)>($i>$o))))).
0.15/0.41	 thf(tp_mimplies,type,(mimplies: (($i>$o)>(($i>$o)>($i>$o))))).
0.15/0.41	 thf(tp_minvalid,type,(minvalid: (($i>$o)>$o))).
0.15/0.41	 thf(tp_mnot,type,(mnot: (($i>$o)>($i>$o)))).
0.15/0.41	 thf(tp_mor,type,(mor: (($i>$o)>(($i>$o)>($i>$o))))).
0.15/0.41	 thf(tp_mtrue,type,(mtrue: ($i>$o))).
0.15/0.41	 thf(tp_mvalid,type,(mvalid: (($i>$o)>$o))).
0.15/0.41	 thf(tp_mxor,type,(mxor: (($i>$o)>(($i>$o)>($i>$o))))).
0.15/0.41	 thf(tp_positive,type,(positive: ((mu>($i>$o))>($i>$o)))).
0.15/0.41	 thf(tp_rel,type,(rel: ($i>($i>$o)))).
0.15/0.41	 thf(tp_sK1_SX0,type,(sK1_SX0: $i)).
0.15/0.41	 thf(tp_sK2_SY6,type,(sK2_SY6: ((mu>($i>$o))>($i>$i)))).
0.15/0.41	 thf(tp_sK3_SY13,type,(sK3_SY13: ($i>((mu>($i>$o))>mu)))).
0.15/0.41	 thf(tp_sK4_SY14,type,(sK4_SY14: (mu>($i>(mu>($i>$o)))))).
0.15/0.41	 thf(god,definition,(god = (^[X:mu]: (mforall_indset@(^[Phi:(mu>($i>$o))]: ((mimplies@(positive@Phi))@(Phi@X)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',god)).
0.15/0.41	 thf(mand,definition,(mand = (^[Phi:($i>$o),Psi:($i>$o),W:$i]: ((Phi@W) & (Psi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
0.15/0.41	 thf(mbox,definition,(mbox = (mbox_generic@rel)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
0.15/0.41	 thf(mbox_generic,definition,(mbox_generic = (^[R:($i>($i>$o)),Phi:($i>$o),W:$i]: (![V:$i]: ((~ ((R@W)@V)) | (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_generic)).
0.15/0.41	 thf(mdia,definition,(mdia = (mdia_generic@rel)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)).
0.15/0.41	 thf(mdia_generic,definition,(mdia_generic = (^[R:($i>($i>$o)),Phi:($i>$o),W:$i]: (?[V:$i]: (((R@W)@V) & (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_generic)).
0.15/0.41	 thf(meq_ind,definition,(meq_ind = (^[X:mu,Y:mu,W:$i]: (X = Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_ind)).
0.15/0.41	 thf(mequiv,definition,(mequiv = (^[Phi:($i>$o),Psi:($i>$o),W:$i]: ((Phi@W) <=> (Psi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv)).
0.15/0.41	 thf(mexists_ind,definition,(mexists_ind = (^[Phi:(mu>($i>$o)),W:$i]: (?[X:mu]: ((Phi@X)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)).
0.15/0.41	 thf(mexists_indset,definition,(mexists_indset = (^[Phi:((mu>($i>$o))>($i>$o)),W:$i]: (?[X:(mu>($i>$o))]: ((Phi@X)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_indset)).
0.15/0.41	 thf(mexists_prop,definition,(mexists_prop = (^[Phi:(($i>$o)>($i>$o)),W:$i]: (?[P:($i>$o)]: ((Phi@P)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_prop)).
0.15/0.41	 thf(mfalse,definition,(mfalse = (^[W:$i]: $false)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse)).
0.15/0.41	 thf(mforall_ind,definition,(mforall_ind = (^[Phi:(mu>($i>$o)),W:$i]: (![X:mu]: ((Phi@X)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
0.15/0.41	 thf(mforall_indset,definition,(mforall_indset = (^[Phi:((mu>($i>$o))>($i>$o)),W:$i]: (![X:(mu>($i>$o))]: ((Phi@X)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_indset)).
0.15/0.41	 thf(mforall_prop,definition,(mforall_prop = (^[Phi:(($i>$o)>($i>$o)),W:$i]: (![P:($i>$o)]: ((Phi@P)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop)).
0.15/0.41	 thf(mimplied,definition,(mimplied = (^[Phi:($i>$o),Psi:($i>$o),W:$i]: ((Psi@W) => (Phi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied)).
0.15/0.41	 thf(mimplies,definition,(mimplies = (^[Phi:($i>$o),Psi:($i>$o),W:$i]: ((Phi@W) => (Psi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
0.15/0.41	 thf(minvalid,definition,(minvalid = (^[Phi:($i>$o)]: (![W:$i]: (~ (Phi@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid)).
0.15/0.41	 thf(mnot,definition,(mnot = (^[Phi:($i>$o),W:$i]: (~ (Phi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
0.15/0.41	 thf(mor,definition,(mor = (^[Phi:($i>$o),Psi:($i>$o),W:$i]: ((Phi@W) | (Psi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
0.15/0.41	 thf(mtrue,definition,(mtrue = (^[W:$i]: $true)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue)).
0.15/0.41	 thf(mvalid,definition,(mvalid = (^[Phi:($i>$o)]: (![W:$i]: (Phi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
0.15/0.41	 thf(mxor,definition,(mxor = (^[Phi:($i>$o),Psi:($i>$o),W:$i]: (((Phi@W) & (~ (Psi@W))) | ((~ (Phi@W)) & (Psi@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxor)).
0.15/0.41	 thf(1,axiom,(mvalid@(positive@god)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axA3)).
0.15/0.41	 thf(2,axiom,(mvalid@(mforall_indset@(^[Phi:(mu>($i>$o))]: ((mimplies@(positive@Phi))@(mdia@(mexists_ind@(^[X:mu]: (Phi@X)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',thmT1)).
0.15/0.41	 thf(3,conjecture,(mvalid@(mdia@(mexists_ind@(^[X:mu]: (god@X))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',corC)).
0.15/0.41	 thf(4,negated_conjecture,(((mvalid@(mdia@(mexists_ind@(^[X:mu]: (god@X)))))=$false)),inference(negate_conjecture,[status(cth)],[3])).
0.15/0.41	 thf(5,plain,(((~ (mvalid@(mdia@(mexists_ind@(^[X:mu]: (god@X))))))=$true)),inference(polarity_switch,[status(thm)],[4])).
0.15/0.41	 thf(6,plain,(((mvalid@(mforall_indset@(^[Phi:(mu>($i>$o))]: ((mimplies@(positive@Phi))@(mdia@(mexists_ind@(^[X:mu]: (Phi@X))))))))=$true)),inference(copy,[status(thm)],[2])).
0.15/0.41	 thf(7,plain,(((mvalid@(positive@god))=$true)),inference(copy,[status(thm)],[1])).
0.15/0.41	 thf(8,plain,(((~ (mvalid@(mdia@(mexists_ind@(^[X:mu]: (god@X))))))=$true)),inference(copy,[status(thm)],[5])).
0.15/0.41	 thf(9,plain,(((![SX0:$i,SX1:(mu>($i>$o))]: ((~ ((positive@SX1)@SX0)) | (~ (![SX2:$i]: (~ (~ ((~ ((rel@SX0)@SX2)) | (~ (~ (![SX3:mu]: (~ ((SX1@SX3)@SX2))))))))))))=$true)),inference(unfold_def,[status(thm)],[6,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor])).
0.15/0.41	 thf(10,plain,(((~ (![SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((rel@SX0)@SX1)) | (~ (~ (![SX2:mu]: (~ (![SX3:(mu>($i>$o))]: ((~ ((positive@SX3)@SX1)) | ((SX3@SX2)@SX1))))))))))))))=$true)),inference(unfold_def,[status(thm)],[8,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor])).
0.15/0.41	 thf(11,plain,(((![SX0:$i]: ((positive@(^[SX1:mu,SX2:$i]: (![SX3:(mu>($i>$o))]: ((~ ((positive@SX3)@SX2)) | ((SX3@SX1)@SX2)))))@SX0))=$true)),inference(unfold_def,[status(thm)],[7,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor])).
0.15/0.41	 thf(12,plain,(![SV1:$i]: (((![SY0:(mu>($i>$o))]: ((~ ((positive@SY0)@SV1)) | (~ (![SY1:$i]: (~ (~ ((~ ((rel@SV1)@SY1)) | (~ (~ (![SX3:mu]: (~ ((SY0@SX3)@SY1))))))))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[9])).
0.15/0.41	 thf(13,plain,(((![SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((rel@SX0)@SX1)) | (~ (~ (![SX2:mu]: (~ (![SX3:(mu>($i>$o))]: ((~ ((positive@SX3)@SX1)) | ((SX3@SX2)@SX1)))))))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[10])).
0.15/0.41	 thf(14,plain,(![SV2:$i]: ((((positive@(^[SX1:mu,SX2:$i]: (![SX3:(mu>($i>$o))]: ((~ ((positive@SX3)@SX2)) | ((SX3@SX1)@SX2)))))@SV2)=$true))),inference(extcnf_forall_pos,[status(thm)],[11])).
0.15/0.41	 thf(15,plain,(![SV1:$i,SV3:(mu>($i>$o))]: ((((~ ((positive@SV3)@SV1)) | (~ (![SY6:$i]: (~ (~ ((~ ((rel@SV1)@SY6)) | (~ (~ (![SY7:mu]: (~ ((SV3@SY7)@SY6)))))))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[12])).
0.15/0.41	 thf(16,plain,(((~ (![SY8:$i]: (~ (~ ((~ ((rel@sK1_SX0)@SY8)) | (~ (~ (![SX2:mu]: (~ (![SX3:(mu>($i>$o))]: ((~ ((positive@SX3)@SY8)) | ((SX3@SX2)@SY8))))))))))))=$false)),inference(extcnf_forall_neg,[status(esa)],[13])).
0.15/0.41	 thf(17,plain,(![SV1:$i,SV3:(mu>($i>$o))]: (((~ ((positive@SV3)@SV1))=$true) | ((~ (![SY6:$i]: (~ (~ ((~ ((rel@SV1)@SY6)) | (~ (~ (![SY7:mu]: (~ ((SV3@SY7)@SY6))))))))))=$true))),inference(extcnf_or_pos,[status(thm)],[15])).
0.15/0.41	 thf(18,plain,(((![SY8:$i]: (~ (~ ((~ ((rel@sK1_SX0)@SY8)) | (~ (~ (![SX2:mu]: (~ (![SX3:(mu>($i>$o))]: ((~ ((positive@SX3)@SY8)) | ((SX3@SX2)@SY8)))))))))))=$true)),inference(extcnf_not_neg,[status(thm)],[16])).
0.15/0.41	 thf(19,plain,(![SV1:$i,SV3:(mu>($i>$o))]: ((((positive@SV3)@SV1)=$false) | ((~ (![SY6:$i]: (~ (~ ((~ ((rel@SV1)@SY6)) | (~ (~ (![SY7:mu]: (~ ((SV3@SY7)@SY6))))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[17])).
0.15/0.41	 thf(20,plain,(![SV4:$i]: (((~ (~ ((~ ((rel@sK1_SX0)@SV4)) | (~ (~ (![SY11:mu]: (~ (![SY12:(mu>($i>$o))]: ((~ ((positive@SY12)@SV4)) | ((SY12@SY11)@SV4))))))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[18])).
0.15/0.41	 thf(21,plain,(![SV3:(mu>($i>$o)),SV1:$i]: (((![SY6:$i]: (~ (~ ((~ ((rel@SV1)@SY6)) | (~ (~ (![SY7:mu]: (~ ((SV3@SY7)@SY6)))))))))=$false) | (((positive@SV3)@SV1)=$false))),inference(extcnf_not_pos,[status(thm)],[19])).
0.15/0.41	 thf(22,plain,(![SV4:$i]: (((~ ((~ ((rel@sK1_SX0)@SV4)) | (~ (~ (![SY11:mu]: (~ (![SY12:(mu>($i>$o))]: ((~ ((positive@SY12)@SV4)) | ((SY12@SY11)@SV4)))))))))=$false))),inference(extcnf_not_pos,[status(thm)],[20])).
0.15/0.41	 thf(23,plain,(![SV3:(mu>($i>$o)),SV1:$i]: (((~ (~ ((~ ((rel@SV1)@((sK2_SY6@SV3)@SV1))) | (~ (~ (![SY13:mu]: (~ ((SV3@SY13)@((sK2_SY6@SV3)@SV1)))))))))=$false) | (((positive@SV3)@SV1)=$false))),inference(extcnf_forall_neg,[status(esa)],[21])).
0.15/0.41	 thf(24,plain,(![SV4:$i]: ((((~ ((rel@sK1_SX0)@SV4)) | (~ (~ (![SY11:mu]: (~ (![SY12:(mu>($i>$o))]: ((~ ((positive@SY12)@SV4)) | ((SY12@SY11)@SV4))))))))=$true))),inference(extcnf_not_neg,[status(thm)],[22])).
0.15/0.41	 thf(25,plain,(![SV3:(mu>($i>$o)),SV1:$i]: (((~ ((~ ((rel@SV1)@((sK2_SY6@SV3)@SV1))) | (~ (~ (![SY13:mu]: (~ ((SV3@SY13)@((sK2_SY6@SV3)@SV1))))))))=$true) | (((positive@SV3)@SV1)=$false))),inference(extcnf_not_neg,[status(thm)],[23])).
0.15/0.41	 thf(26,plain,(![SV4:$i]: (((~ ((rel@sK1_SX0)@SV4))=$true) | ((~ (~ (![SY11:mu]: (~ (![SY12:(mu>($i>$o))]: ((~ ((positive@SY12)@SV4)) | ((SY12@SY11)@SV4)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[24])).
0.15/0.41	 thf(27,plain,(![SV3:(mu>($i>$o)),SV1:$i]: ((((~ ((rel@SV1)@((sK2_SY6@SV3)@SV1))) | (~ (~ (![SY13:mu]: (~ ((SV3@SY13)@((sK2_SY6@SV3)@SV1)))))))=$false) | (((positive@SV3)@SV1)=$false))),inference(extcnf_not_pos,[status(thm)],[25])).
0.15/0.41	 thf(28,plain,(![SV4:$i]: ((((rel@sK1_SX0)@SV4)=$false) | ((~ (~ (![SY11:mu]: (~ (![SY12:(mu>($i>$o))]: ((~ ((positive@SY12)@SV4)) | ((SY12@SY11)@SV4)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[26])).
0.15/0.41	 thf(29,plain,(![SV3:(mu>($i>$o)),SV1:$i]: (((~ ((rel@SV1)@((sK2_SY6@SV3)@SV1)))=$false) | (((positive@SV3)@SV1)=$false))),inference(extcnf_or_neg,[status(thm)],[27])).
0.15/0.41	 thf(30,plain,(![SV1:$i,SV3:(mu>($i>$o))]: (((~ (~ (![SY13:mu]: (~ ((SV3@SY13)@((sK2_SY6@SV3)@SV1))))))=$false) | (((positive@SV3)@SV1)=$false))),inference(extcnf_or_neg,[status(thm)],[27])).
0.15/0.41	 thf(31,plain,(![SV4:$i]: (((~ (![SY11:mu]: (~ (![SY12:(mu>($i>$o))]: ((~ ((positive@SY12)@SV4)) | ((SY12@SY11)@SV4))))))=$false) | (((rel@sK1_SX0)@SV4)=$false))),inference(extcnf_not_pos,[status(thm)],[28])).
0.15/0.41	 thf(32,plain,(![SV3:(mu>($i>$o)),SV1:$i]: ((((rel@SV1)@((sK2_SY6@SV3)@SV1))=$true) | (((positive@SV3)@SV1)=$false))),inference(extcnf_not_neg,[status(thm)],[29])).
0.15/0.41	 thf(33,plain,(![SV1:$i,SV3:(mu>($i>$o))]: (((~ (![SY13:mu]: (~ ((SV3@SY13)@((sK2_SY6@SV3)@SV1)))))=$true) | (((positive@SV3)@SV1)=$false))),inference(extcnf_not_neg,[status(thm)],[30])).
0.15/0.41	 thf(34,plain,(![SV4:$i]: (((![SY11:mu]: (~ (![SY12:(mu>($i>$o))]: ((~ ((positive@SY12)@SV4)) | ((SY12@SY11)@SV4)))))=$true) | (((rel@sK1_SX0)@SV4)=$false))),inference(extcnf_not_neg,[status(thm)],[31])).
0.15/0.41	 thf(35,plain,(![SV1:$i,SV3:(mu>($i>$o))]: (((![SY13:mu]: (~ ((SV3@SY13)@((sK2_SY6@SV3)@SV1))))=$false) | (((positive@SV3)@SV1)=$false))),inference(extcnf_not_pos,[status(thm)],[33])).
0.15/0.41	 thf(36,plain,(![SV5:mu,SV4:$i]: (((~ (![SY14:(mu>($i>$o))]: ((~ ((positive@SY14)@SV4)) | ((SY14@SV5)@SV4))))=$true) | (((rel@sK1_SX0)@SV4)=$false))),inference(extcnf_forall_pos,[status(thm)],[34])).
0.15/0.41	 thf(37,plain,(![SV1:$i,SV3:(mu>($i>$o))]: (((~ ((SV3@((sK3_SY13@SV1)@SV3))@((sK2_SY6@SV3)@SV1)))=$false) | (((positive@SV3)@SV1)=$false))),inference(extcnf_forall_neg,[status(esa)],[35])).
0.15/0.41	 thf(38,plain,(![SV5:mu,SV4:$i]: (((![SY14:(mu>($i>$o))]: ((~ ((positive@SY14)@SV4)) | ((SY14@SV5)@SV4)))=$false) | (((rel@sK1_SX0)@SV4)=$false))),inference(extcnf_not_pos,[status(thm)],[36])).
0.15/0.41	 thf(39,plain,(![SV1:$i,SV3:(mu>($i>$o))]: ((((SV3@((sK3_SY13@SV1)@SV3))@((sK2_SY6@SV3)@SV1))=$true) | (((positive@SV3)@SV1)=$false))),inference(extcnf_not_neg,[status(thm)],[37])).
0.15/0.41	 thf(40,plain,(![SV4:$i,SV5:mu]: ((((~ ((positive@((sK4_SY14@SV5)@SV4))@SV4)) | ((((sK4_SY14@SV5)@SV4)@SV5)@SV4))=$false) | (((rel@sK1_SX0)@SV4)=$false))),inference(extcnf_forall_neg,[status(esa)],[38])).
0.15/0.41	 thf(41,plain,(![SV4:$i,SV5:mu]: (((~ ((positive@((sK4_SY14@SV5)@SV4))@SV4))=$false) | (((rel@sK1_SX0)@SV4)=$false))),inference(extcnf_or_neg,[status(thm)],[40])).
0.15/0.41	 thf(42,plain,(![SV4:$i,SV5:mu]: ((((((sK4_SY14@SV5)@SV4)@SV5)@SV4)=$false) | (((rel@sK1_SX0)@SV4)=$false))),inference(extcnf_or_neg,[status(thm)],[40])).
0.15/0.41	 thf(43,plain,(![SV4:$i,SV5:mu]: ((((positive@((sK4_SY14@SV5)@SV4))@SV4)=$true) | (((rel@sK1_SX0)@SV4)=$false))),inference(extcnf_not_neg,[status(thm)],[41])).
0.15/0.41	 thf(44,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[14,43,42,39,32])).
0.15/0.41	 thf(45,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[44])).
0.15/0.41	% SZS output end CNFRefutation
0.15/0.41	
0.15/0.41	%**** End of derivation protocol ****
0.15/0.41	%**** no. of clauses in derivation: 45 ****
0.15/0.41	%**** clause counter: 44 ****
0.15/0.41	
0.15/0.41	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:44,loop_count:0,foatp_calls:1,translation:fof_full)
0.15/0.41	EOF