0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.06	% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.16/0.42	% Computer : n007.cluster.edu
0.16/0.42	% Model    : x86_64 x86_64
0.16/0.42	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.16/0.42	% Memory   : 8046.5625MB
0.16/0.42	% OS       : Linux 6.8.0-71-generic
0.16/0.42	% CPULimit : 1440
0.16/0.42	% WCLimit  : 180
0.16/0.42	% DateTime : Mon Jul 27 14:05:48 UTC 2026
0.16/0.42	% CPUTime  : 
0.16/0.43	
0.16/0.43	 No.of.Axioms: 3
0.16/0.43	
0.16/0.43	 Length.of.Defs: 2753
0.16/0.43	
0.16/0.43	 Contains.Choice.Funs: false
0.16/0.44	(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).......
0.25/12.71	
0.25/12.71	********************************
0.25/12.71	*   All subproblems solved!    *
0.25/12.71	********************************
0.25/12.71	% SZS status Theorem for /export/starexec/sandbox2/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:111,loop_count:0,foatp_calls:1,translation:fof_full)
0.25/12.72	
0.25/12.72	%**** Beginning of derivation protocol ****
0.25/12.72	% SZS output start CNFRefutation
0.25/12.72	 thf(tp_f,type,(f: ($i>$o))).
0.25/12.72	 thf(tp_iand,type,(iand: (($i>$o)>(($i>$o)>($i>$o))))).
0.25/12.72	 thf(tp_iatom,type,(iatom: (($i>$o)>($i>$o)))).
0.25/12.72	 thf(tp_icountersatisfiable,type,(icountersatisfiable: (($i>$o)>$o))).
0.25/12.72	 thf(tp_iequiv,type,(iequiv: (($i>$o)>(($i>$o)>($i>$o))))).
0.25/12.72	 thf(tp_ifalse,type,(ifalse: ($i>$o))).
0.25/12.72	 thf(tp_iimplied,type,(iimplied: (($i>$o)>(($i>$o)>($i>$o))))).
0.25/12.72	 thf(tp_iimplies,type,(iimplies: (($i>$o)>(($i>$o)>($i>$o))))).
0.25/12.72	 thf(tp_iinvalid,type,(iinvalid: (($i>$o)>$o))).
0.25/12.72	 thf(tp_inot,type,(inot: (($i>$o)>($i>$o)))).
0.25/12.72	 thf(tp_ior,type,(ior: (($i>$o)>(($i>$o)>($i>$o))))).
0.25/12.72	 thf(tp_irel,type,(irel: ($i>($i>$o)))).
0.25/12.72	 thf(tp_isatisfiable,type,(isatisfiable: (($i>$o)>$o))).
0.25/12.72	 thf(tp_itrue,type,(itrue: ($i>$o))).
0.25/12.72	 thf(tp_ivalid,type,(ivalid: (($i>$o)>$o))).
0.25/12.72	 thf(tp_ixor,type,(ixor: (($i>$o)>(($i>$o)>($i>$o))))).
0.25/12.72	 thf(tp_mand,type,(mand: (($i>$o)>(($i>$o)>($i>$o))))).
0.25/12.72	 thf(tp_mbox_s4,type,(mbox_s4: (($i>$o)>($i>$o)))).
0.25/12.72	 thf(tp_mimplies,type,(mimplies: (($i>$o)>(($i>$o)>($i>$o))))).
0.25/12.72	 thf(tp_mnot,type,(mnot: (($i>$o)>($i>$o)))).
0.25/12.72	 thf(tp_mor,type,(mor: (($i>$o)>(($i>$o)>($i>$o))))).
0.25/12.72	 thf(tp_p1,type,(p1: ($i>$o))).
0.25/12.72	 thf(tp_p2,type,(p2: ($i>$o))).
0.25/12.72	 thf(tp_sK1_SX0,type,(sK1_SX0: $i)).
0.25/12.72	 thf(tp_sK2_SY2,type,(sK2_SY2: ($i>$i))).
0.25/12.72	 thf(tp_sK3_SY13,type,(sK3_SY13: ($i>$i))).
0.25/12.72	 thf(tp_sK4_SY14,type,(sK4_SY14: ($i>$i))).
0.25/12.72	 thf(tp_sK5_SY21,type,(sK5_SY21: ($i>$i))).
0.25/12.72	 thf(tp_sK6_SY24,type,(sK6_SY24: ($i>$i))).
0.25/12.72	 thf(tp_sK7_SY28,type,(sK7_SY28: ($i>$i))).
0.25/12.72	 thf(tp_sK8_SY30,type,(sK8_SY30: ($i>$i))).
0.25/12.72	 thf(iand,definition,(iand = (^[P:($i>$o),Q:($i>$o)]: ((mand@P)@Q))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iand)).
0.25/12.72	 thf(iatom,definition,(iatom = (^[P:($i>$o)]: P)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iatom)).
0.25/12.72	 thf(icountersatisfiable,definition,(icountersatisfiable = (^[Phi:($i>$o)]: (?[W:$i]: (~ (Phi@W))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icountersatisfiable)).
0.25/12.72	 thf(iequiv,definition,(iequiv = (^[P:($i>$o),Q:($i>$o)]: ((iand@((iimplies@P)@Q))@((iimplies@Q)@P)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iequiv)).
0.25/12.72	 thf(ifalse,definition,(ifalse = (inot@itrue)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifalse)).
0.25/12.72	 thf(iimplied,definition,(iimplied = (^[P:($i>$o),Q:($i>$o)]: ((iimplies@Q)@P))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iimplied)).
0.25/12.72	 thf(iimplies,definition,(iimplies = (^[P:($i>$o),Q:($i>$o)]: ((mimplies@(mbox_s4@P))@(mbox_s4@Q)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iimplies)).
0.25/12.72	 thf(iinvalid,definition,(iinvalid = (^[Phi:($i>$o)]: (![W:$i]: (~ (Phi@W))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iinvalid)).
0.25/12.72	 thf(inot,definition,(inot = (^[P:($i>$o)]: (mnot@(mbox_s4@P)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inot)).
0.25/12.72	 thf(ior,definition,(ior = (^[P:($i>$o),Q:($i>$o)]: ((mor@(mbox_s4@P))@(mbox_s4@Q)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ior)).
0.25/12.72	 thf(isatisfiable,definition,(isatisfiable = (^[Phi:($i>$o)]: (?[W:$i]: (Phi@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isatisfiable)).
0.25/12.72	 thf(itrue,definition,(itrue = (^[W:$i]: $true)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',itrue)).
0.25/12.72	 thf(ivalid,definition,(ivalid = (^[Phi:($i>$o)]: (![W:$i]: (Phi@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ivalid)).
0.25/12.72	 thf(ixor,definition,(ixor = (^[P:($i>$o),Q:($i>$o)]: (inot@((iequiv@P)@Q)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ixor)).
0.25/12.72	 thf(mand,definition,(mand = (^[X:($i>$o),Y:($i>$o),U:$i]: ((X@U) & (Y@U)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
0.25/12.72	 thf(mbox_s4,definition,(mbox_s4 = (^[P:($i>$o),X:$i]: (![Y:$i]: (((irel@X)@Y) => (P@Y))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_s4)).
0.25/12.72	 thf(mimplies,definition,(mimplies = (^[U:($i>$o),V:($i>$o)]: ((mor@(mnot@U))@V))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
0.25/12.72	 thf(mnot,definition,(mnot = (^[X:($i>$o),U:$i]: (~ (X@U)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
0.25/12.72	 thf(mor,definition,(mor = (^[X:($i>$o),Y:($i>$o),U:$i]: ((X@U) | (Y@U)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
0.25/12.72	 thf(1,axiom,(ivalid@((iimplies@((ior@((iand@(iatom@p1))@(iatom@p2)))@((ior@((iimplies@(iatom@p1))@(iatom@f)))@((iimplies@(iatom@p2))@(iatom@f)))))@(iatom@f))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1)).
0.25/12.72	 thf(2,axiom,(![X:$i]: ((irel@X)@X)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom)).
0.25/12.72	 thf(3,axiom,(![X:$i,Y:$i,Z:$i]: ((((irel@Y)@Z) & ((irel@X)@Y)) => ((irel@X)@Z))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_axiom)).
0.25/12.72	 thf(4,conjecture,(ivalid@(iatom@f)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
0.25/12.72	 thf(5,negated_conjecture,(((ivalid@(iatom@f))=$false)),inference(negate_conjecture,[status(cth)],[4])).
0.25/12.72	 thf(6,plain,(((~ (ivalid@(iatom@f)))=$true)),inference(polarity_switch,[status(thm)],[5])).
0.25/12.72	 thf(7,plain,(((![X:$i,Y:$i,Z:$i]: (((~ ((irel@Y)@Z)) | (~ ((irel@X)@Y))) | ((irel@X)@Z)))=$true)),inference(extcnf_combined,[status(esa)],[3])).
0.25/12.72	 thf(8,plain,(((![X:$i,Y:$i,Z:$i]: (((~ ((irel@Y)@Z)) | (~ ((irel@X)@Y))) | ((irel@X)@Z)))=$true)),inference(copy,[status(thm)],[7])).
0.25/12.72	 thf(9,plain,(((![X:$i]: ((irel@X)@X))=$true)),inference(copy,[status(thm)],[2])).
0.25/12.72	 thf(10,plain,(((ivalid@((iimplies@((ior@((iand@(iatom@p1))@(iatom@p2)))@((ior@((iimplies@(iatom@p1))@(iatom@f)))@((iimplies@(iatom@p2))@(iatom@f)))))@(iatom@f)))=$true)),inference(copy,[status(thm)],[1])).
0.25/12.72	 thf(11,plain,(((~ (ivalid@(iatom@f)))=$true)),inference(copy,[status(thm)],[6])).
0.25/12.72	 thf(12,plain,(((~ (![SX0:$i]: (f@SX0)))=$true)),inference(unfold_def,[status(thm)],[11,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor])).
0.25/12.72	 thf(13,plain,(((![SX0:$i]: ((~ (![SX1:$i]: ((~ ((irel@SX0)@SX1)) | ((![SX2:$i]: ((~ ((irel@SX1)@SX2)) | (~ ((~ (p1@SX2)) | (~ (p2@SX2)))))) | (![SX2:$i]: ((~ ((irel@SX1)@SX2)) | ((![SX3:$i]: ((~ ((irel@SX2)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p1@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4)))))) | (![SX3:$i]: ((~ ((irel@SX2)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p2@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4))))))))))))) | (![SX1:$i]: ((~ ((irel@SX0)@SX1)) | (f@SX1)))))=$true)),inference(unfold_def,[status(thm)],[10,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor])).
0.25/12.72	 thf(14,plain,(![SV1:$i]: (((![SY0:$i,SY1:$i]: (((~ ((irel@SY0)@SY1)) | (~ ((irel@SV1)@SY0))) | ((irel@SV1)@SY1)))=$true))),inference(extcnf_forall_pos,[status(thm)],[8])).
0.25/12.72	 thf(15,plain,(![SV2:$i]: ((((irel@SV2)@SV2)=$true))),inference(extcnf_forall_pos,[status(thm)],[9])).
0.25/12.72	 thf(16,plain,(((![SX0:$i]: (f@SX0))=$false)),inference(extcnf_not_pos,[status(thm)],[12])).
0.25/12.72	 thf(17,plain,(![SV3:$i]: ((((~ (![SY2:$i]: ((~ ((irel@SV3)@SY2)) | ((![SX2:$i]: ((~ ((irel@SY2)@SX2)) | (~ ((~ (p1@SX2)) | (~ (p2@SX2)))))) | (![SX2:$i]: ((~ ((irel@SY2)@SX2)) | ((![SX3:$i]: ((~ ((irel@SX2)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p1@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4)))))) | (![SX3:$i]: ((~ ((irel@SX2)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p2@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4))))))))))))) | (![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11))))=$true))),inference(extcnf_forall_pos,[status(thm)],[13])).
0.25/12.72	 thf(18,plain,(![SV1:$i,SV4:$i]: (((![SY12:$i]: (((~ ((irel@SV4)@SY12)) | (~ ((irel@SV1)@SV4))) | ((irel@SV1)@SY12)))=$true))),inference(extcnf_forall_pos,[status(thm)],[14])).
0.25/12.72	 thf(19,plain,(((f@sK1_SX0)=$false)),inference(extcnf_forall_neg,[status(esa)],[16])).
0.25/12.72	 thf(20,plain,(![SV3:$i]: (((~ (![SY2:$i]: ((~ ((irel@SV3)@SY2)) | ((![SX2:$i]: ((~ ((irel@SY2)@SX2)) | (~ ((~ (p1@SX2)) | (~ (p2@SX2)))))) | (![SX2:$i]: ((~ ((irel@SY2)@SX2)) | ((![SX3:$i]: ((~ ((irel@SX2)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p1@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4)))))) | (![SX3:$i]: ((~ ((irel@SX2)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p2@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4)))))))))))))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_pos,[status(thm)],[17])).
0.25/12.72	 thf(21,plain,(![SV1:$i,SV5:$i,SV4:$i]: (((((~ ((irel@SV4)@SV5)) | (~ ((irel@SV1)@SV4))) | ((irel@SV1)@SV5))=$true))),inference(extcnf_forall_pos,[status(thm)],[18])).
0.25/12.72	 thf(22,plain,(![SV3:$i]: (((![SY2:$i]: ((~ ((irel@SV3)@SY2)) | ((![SX2:$i]: ((~ ((irel@SY2)@SX2)) | (~ ((~ (p1@SX2)) | (~ (p2@SX2)))))) | (![SX2:$i]: ((~ ((irel@SY2)@SX2)) | ((![SX3:$i]: ((~ ((irel@SX2)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p1@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4)))))) | (![SX3:$i]: ((~ ((irel@SX2)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p2@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4))))))))))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_pos,[status(thm)],[20])).
0.25/12.72	 thf(23,plain,(![SV1:$i,SV5:$i,SV4:$i]: ((((~ ((irel@SV4)@SV5)) | (~ ((irel@SV1)@SV4)))=$true) | (((irel@SV1)@SV5)=$true))),inference(extcnf_or_pos,[status(thm)],[21])).
0.25/12.72	 thf(24,plain,(![SV3:$i]: ((((~ ((irel@SV3)@(sK2_SY2@SV3))) | ((![SY13:$i]: ((~ ((irel@(sK2_SY2@SV3))@SY13)) | (~ ((~ (p1@SY13)) | (~ (p2@SY13)))))) | (![SY14:$i]: ((~ ((irel@(sK2_SY2@SV3))@SY14)) | ((![SX3:$i]: ((~ ((irel@SY14)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p1@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4)))))) | (![SX3:$i]: ((~ ((irel@SY14)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p2@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4)))))))))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_forall_neg,[status(esa)],[22])).
0.25/12.72	 thf(25,plain,(![SV1:$i,SV5:$i,SV4:$i]: (((~ ((irel@SV4)@SV5))=$true) | ((~ ((irel@SV1)@SV4))=$true) | (((irel@SV1)@SV5)=$true))),inference(extcnf_or_pos,[status(thm)],[23])).
0.25/12.72	 thf(26,plain,(![SV3:$i]: (((~ ((irel@SV3)@(sK2_SY2@SV3)))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[24])).
0.25/12.72	 thf(27,plain,(![SV3:$i]: ((((![SY13:$i]: ((~ ((irel@(sK2_SY2@SV3))@SY13)) | (~ ((~ (p1@SY13)) | (~ (p2@SY13)))))) | (![SY14:$i]: ((~ ((irel@(sK2_SY2@SV3))@SY14)) | ((![SX3:$i]: ((~ ((irel@SY14)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p1@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4)))))) | (![SX3:$i]: ((~ ((irel@SY14)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p2@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4))))))))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[24])).
0.25/12.72	 thf(28,plain,(![SV1:$i,SV5:$i,SV4:$i]: ((((irel@SV4)@SV5)=$false) | ((~ ((irel@SV1)@SV4))=$true) | (((irel@SV1)@SV5)=$true))),inference(extcnf_not_pos,[status(thm)],[25])).
0.25/12.72	 thf(29,plain,(![SV3:$i]: ((((irel@SV3)@(sK2_SY2@SV3))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_neg,[status(thm)],[26])).
0.25/12.72	 thf(30,plain,(![SV3:$i]: (((![SY13:$i]: ((~ ((irel@(sK2_SY2@SV3))@SY13)) | (~ ((~ (p1@SY13)) | (~ (p2@SY13))))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[27])).
0.25/12.72	 thf(31,plain,(![SV3:$i]: (((![SY14:$i]: ((~ ((irel@(sK2_SY2@SV3))@SY14)) | ((![SX3:$i]: ((~ ((irel@SY14)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p1@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4)))))) | (![SX3:$i]: ((~ ((irel@SY14)@SX3)) | ((~ (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (p2@SX4)))) | (![SX4:$i]: ((~ ((irel@SX3)@SX4)) | (f@SX4)))))))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[27])).
0.25/12.72	 thf(32,plain,(![SV5:$i,SV4:$i,SV1:$i]: ((((irel@SV1)@SV4)=$false) | (((irel@SV4)@SV5)=$false) | (((irel@SV1)@SV5)=$true))),inference(extcnf_not_pos,[status(thm)],[28])).
0.25/12.72	 thf(33,plain,(![SV6:$i,SV3:$i]: ((((~ ((irel@SV3)@SV6)) | (f@SV6))=$true) | (((irel@SV3)@(sK2_SY2@SV3))=$true))),inference(extcnf_forall_pos,[status(thm)],[29])).
0.25/12.72	 thf(34,plain,(![SV3:$i]: ((((~ ((irel@(sK2_SY2@SV3))@(sK3_SY13@SV3))) | (~ ((~ (p1@(sK3_SY13@SV3))) | (~ (p2@(sK3_SY13@SV3))))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_forall_neg,[status(esa)],[30])).
0.25/12.72	 thf(35,plain,(![SV3:$i]: ((((~ ((irel@(sK2_SY2@SV3))@(sK4_SY14@SV3))) | ((![SY21:$i]: ((~ ((irel@(sK4_SY14@SV3))@SY21)) | ((~ (![SX4:$i]: ((~ ((irel@SY21)@SX4)) | (p1@SX4)))) | (![SX4:$i]: ((~ ((irel@SY21)@SX4)) | (f@SX4)))))) | (![SY24:$i]: ((~ ((irel@(sK4_SY14@SV3))@SY24)) | ((~ (![SX4:$i]: ((~ ((irel@SY24)@SX4)) | (p2@SX4)))) | (![SX4:$i]: ((~ ((irel@SY24)@SX4)) | (f@SX4))))))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_forall_neg,[status(esa)],[31])).
0.25/12.72	 thf(36,plain,(![SV6:$i,SV3:$i]: (((~ ((irel@SV3)@SV6))=$true) | ((f@SV6)=$true) | (((irel@SV3)@(sK2_SY2@SV3))=$true))),inference(extcnf_or_pos,[status(thm)],[33])).
0.25/12.72	 thf(37,plain,(![SV3:$i]: (((~ ((irel@(sK2_SY2@SV3))@(sK3_SY13@SV3)))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[34])).
0.25/12.72	 thf(38,plain,(![SV3:$i]: (((~ ((~ (p1@(sK3_SY13@SV3))) | (~ (p2@(sK3_SY13@SV3)))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[34])).
0.25/12.72	 thf(39,plain,(![SV3:$i]: (((~ ((irel@(sK2_SY2@SV3))@(sK4_SY14@SV3)))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[35])).
0.25/12.72	 thf(40,plain,(![SV3:$i]: ((((![SY21:$i]: ((~ ((irel@(sK4_SY14@SV3))@SY21)) | ((~ (![SX4:$i]: ((~ ((irel@SY21)@SX4)) | (p1@SX4)))) | (![SX4:$i]: ((~ ((irel@SY21)@SX4)) | (f@SX4)))))) | (![SY24:$i]: ((~ ((irel@(sK4_SY14@SV3))@SY24)) | ((~ (![SX4:$i]: ((~ ((irel@SY24)@SX4)) | (p2@SX4)))) | (![SX4:$i]: ((~ ((irel@SY24)@SX4)) | (f@SX4)))))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[35])).
0.25/12.72	 thf(41,plain,(![SV6:$i,SV3:$i]: ((((irel@SV3)@SV6)=$false) | ((f@SV6)=$true) | (((irel@SV3)@(sK2_SY2@SV3))=$true))),inference(extcnf_not_pos,[status(thm)],[36])).
0.25/12.72	 thf(42,plain,(![SV3:$i]: ((((irel@(sK2_SY2@SV3))@(sK3_SY13@SV3))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_neg,[status(thm)],[37])).
0.25/12.72	 thf(43,plain,(![SV3:$i]: ((((~ (p1@(sK3_SY13@SV3))) | (~ (p2@(sK3_SY13@SV3))))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_neg,[status(thm)],[38])).
0.25/12.72	 thf(44,plain,(![SV3:$i]: ((((irel@(sK2_SY2@SV3))@(sK4_SY14@SV3))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_neg,[status(thm)],[39])).
0.25/12.72	 thf(45,plain,(![SV3:$i]: (((![SY21:$i]: ((~ ((irel@(sK4_SY14@SV3))@SY21)) | ((~ (![SX4:$i]: ((~ ((irel@SY21)@SX4)) | (p1@SX4)))) | (![SX4:$i]: ((~ ((irel@SY21)@SX4)) | (f@SX4))))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[40])).
0.25/12.72	 thf(46,plain,(![SV3:$i]: (((![SY24:$i]: ((~ ((irel@(sK4_SY14@SV3))@SY24)) | ((~ (![SX4:$i]: ((~ ((irel@SY24)@SX4)) | (p2@SX4)))) | (![SX4:$i]: ((~ ((irel@SY24)@SX4)) | (f@SX4))))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[40])).
0.25/12.72	 thf(47,plain,(![SV7:$i,SV3:$i]: ((((~ ((irel@SV3)@SV7)) | (f@SV7))=$true) | (((irel@(sK2_SY2@SV3))@(sK3_SY13@SV3))=$true))),inference(extcnf_forall_pos,[status(thm)],[42])).
0.25/12.72	 thf(48,plain,(![SV3:$i]: (((~ (p1@(sK3_SY13@SV3)))=$true) | ((~ (p2@(sK3_SY13@SV3)))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_pos,[status(thm)],[43])).
0.25/12.72	 thf(49,plain,(![SV8:$i,SV3:$i]: ((((~ ((irel@SV3)@SV8)) | (f@SV8))=$true) | (((irel@(sK2_SY2@SV3))@(sK4_SY14@SV3))=$true))),inference(extcnf_forall_pos,[status(thm)],[44])).
0.25/12.72	 thf(50,plain,(![SV3:$i]: ((((~ ((irel@(sK4_SY14@SV3))@(sK5_SY21@SV3))) | ((~ (![SY27:$i]: ((~ ((irel@(sK5_SY21@SV3))@SY27)) | (p1@SY27)))) | (![SY28:$i]: ((~ ((irel@(sK5_SY21@SV3))@SY28)) | (f@SY28)))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_forall_neg,[status(esa)],[45])).
0.25/12.72	 thf(51,plain,(![SV3:$i]: ((((~ ((irel@(sK4_SY14@SV3))@(sK6_SY24@SV3))) | ((~ (![SY29:$i]: ((~ ((irel@(sK6_SY24@SV3))@SY29)) | (p2@SY29)))) | (![SY30:$i]: ((~ ((irel@(sK6_SY24@SV3))@SY30)) | (f@SY30)))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_forall_neg,[status(esa)],[46])).
0.25/12.72	 thf(52,plain,(![SV7:$i,SV3:$i]: (((~ ((irel@SV3)@SV7))=$true) | ((f@SV7)=$true) | (((irel@(sK2_SY2@SV3))@(sK3_SY13@SV3))=$true))),inference(extcnf_or_pos,[status(thm)],[47])).
0.25/12.72	 thf(53,plain,(![SV3:$i]: (((p1@(sK3_SY13@SV3))=$false) | ((~ (p2@(sK3_SY13@SV3)))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_pos,[status(thm)],[48])).
0.25/12.72	 thf(54,plain,(![SV8:$i,SV3:$i]: (((~ ((irel@SV3)@SV8))=$true) | ((f@SV8)=$true) | (((irel@(sK2_SY2@SV3))@(sK4_SY14@SV3))=$true))),inference(extcnf_or_pos,[status(thm)],[49])).
0.25/12.72	 thf(55,plain,(![SV3:$i]: (((~ ((irel@(sK4_SY14@SV3))@(sK5_SY21@SV3)))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[50])).
0.25/12.72	 thf(56,plain,(![SV3:$i]: ((((~ (![SY27:$i]: ((~ ((irel@(sK5_SY21@SV3))@SY27)) | (p1@SY27)))) | (![SY28:$i]: ((~ ((irel@(sK5_SY21@SV3))@SY28)) | (f@SY28))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[50])).
0.25/12.72	 thf(57,plain,(![SV3:$i]: (((~ ((irel@(sK4_SY14@SV3))@(sK6_SY24@SV3)))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[51])).
0.25/12.72	 thf(58,plain,(![SV3:$i]: ((((~ (![SY29:$i]: ((~ ((irel@(sK6_SY24@SV3))@SY29)) | (p2@SY29)))) | (![SY30:$i]: ((~ ((irel@(sK6_SY24@SV3))@SY30)) | (f@SY30))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[51])).
0.25/12.72	 thf(59,plain,(![SV7:$i,SV3:$i]: ((((irel@SV3)@SV7)=$false) | ((f@SV7)=$true) | (((irel@(sK2_SY2@SV3))@(sK3_SY13@SV3))=$true))),inference(extcnf_not_pos,[status(thm)],[52])).
0.25/12.72	 thf(60,plain,(![SV3:$i]: (((p2@(sK3_SY13@SV3))=$false) | ((p1@(sK3_SY13@SV3))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_pos,[status(thm)],[53])).
0.25/12.72	 thf(61,plain,(![SV8:$i,SV3:$i]: ((((irel@SV3)@SV8)=$false) | ((f@SV8)=$true) | (((irel@(sK2_SY2@SV3))@(sK4_SY14@SV3))=$true))),inference(extcnf_not_pos,[status(thm)],[54])).
0.25/12.72	 thf(62,plain,(![SV3:$i]: ((((irel@(sK4_SY14@SV3))@(sK5_SY21@SV3))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_neg,[status(thm)],[55])).
0.25/12.72	 thf(63,plain,(![SV3:$i]: (((~ (![SY27:$i]: ((~ ((irel@(sK5_SY21@SV3))@SY27)) | (p1@SY27))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[56])).
0.25/12.72	 thf(64,plain,(![SV3:$i]: (((![SY28:$i]: ((~ ((irel@(sK5_SY21@SV3))@SY28)) | (f@SY28)))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[56])).
0.25/12.72	 thf(65,plain,(![SV3:$i]: ((((irel@(sK4_SY14@SV3))@(sK6_SY24@SV3))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_neg,[status(thm)],[57])).
0.25/12.72	 thf(66,plain,(![SV3:$i]: (((~ (![SY29:$i]: ((~ ((irel@(sK6_SY24@SV3))@SY29)) | (p2@SY29))))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[58])).
0.25/12.72	 thf(67,plain,(![SV3:$i]: (((![SY30:$i]: ((~ ((irel@(sK6_SY24@SV3))@SY30)) | (f@SY30)))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[58])).
0.25/12.72	 thf(68,plain,(![SV9:$i,SV3:$i]: ((((~ ((irel@SV3)@SV9)) | (f@SV9))=$true) | ((p1@(sK3_SY13@SV3))=$false) | ((p2@(sK3_SY13@SV3))=$false))),inference(extcnf_forall_pos,[status(thm)],[60])).
0.25/12.72	 thf(69,plain,(![SV10:$i,SV3:$i]: ((((~ ((irel@SV3)@SV10)) | (f@SV10))=$true) | (((irel@(sK4_SY14@SV3))@(sK5_SY21@SV3))=$true))),inference(extcnf_forall_pos,[status(thm)],[62])).
0.25/12.72	 thf(70,plain,(![SV3:$i]: (((![SY27:$i]: ((~ ((irel@(sK5_SY21@SV3))@SY27)) | (p1@SY27)))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_neg,[status(thm)],[63])).
0.25/12.72	 thf(71,plain,(![SV3:$i]: ((((~ ((irel@(sK5_SY21@SV3))@(sK7_SY28@SV3))) | (f@(sK7_SY28@SV3)))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_forall_neg,[status(esa)],[64])).
0.25/12.72	 thf(72,plain,(![SV11:$i,SV3:$i]: ((((~ ((irel@SV3)@SV11)) | (f@SV11))=$true) | (((irel@(sK4_SY14@SV3))@(sK6_SY24@SV3))=$true))),inference(extcnf_forall_pos,[status(thm)],[65])).
0.25/12.72	 thf(73,plain,(![SV3:$i]: (((![SY29:$i]: ((~ ((irel@(sK6_SY24@SV3))@SY29)) | (p2@SY29)))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_neg,[status(thm)],[66])).
0.25/12.72	 thf(74,plain,(![SV3:$i]: ((((~ ((irel@(sK6_SY24@SV3))@(sK8_SY30@SV3))) | (f@(sK8_SY30@SV3)))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_forall_neg,[status(esa)],[67])).
0.25/12.72	 thf(75,plain,(![SV9:$i,SV3:$i]: (((~ ((irel@SV3)@SV9))=$true) | ((f@SV9)=$true) | ((p1@(sK3_SY13@SV3))=$false) | ((p2@(sK3_SY13@SV3))=$false))),inference(extcnf_or_pos,[status(thm)],[68])).
0.25/12.72	 thf(76,plain,(![SV10:$i,SV3:$i]: (((~ ((irel@SV3)@SV10))=$true) | ((f@SV10)=$true) | (((irel@(sK4_SY14@SV3))@(sK5_SY21@SV3))=$true))),inference(extcnf_or_pos,[status(thm)],[69])).
0.25/12.72	 thf(77,plain,(![SV12:$i,SV3:$i]: ((((~ ((irel@(sK5_SY21@SV3))@SV12)) | (p1@SV12))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_forall_pos,[status(thm)],[70])).
0.25/12.72	 thf(78,plain,(![SV3:$i]: (((~ ((irel@(sK5_SY21@SV3))@(sK7_SY28@SV3)))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[71])).
0.25/12.72	 thf(79,plain,(![SV3:$i]: (((f@(sK7_SY28@SV3))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[71])).
0.25/12.72	 thf(80,plain,(![SV11:$i,SV3:$i]: (((~ ((irel@SV3)@SV11))=$true) | ((f@SV11)=$true) | (((irel@(sK4_SY14@SV3))@(sK6_SY24@SV3))=$true))),inference(extcnf_or_pos,[status(thm)],[72])).
0.25/12.72	 thf(81,plain,(![SV13:$i,SV3:$i]: ((((~ ((irel@(sK6_SY24@SV3))@SV13)) | (p2@SV13))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_forall_pos,[status(thm)],[73])).
0.25/12.72	 thf(82,plain,(![SV3:$i]: (((~ ((irel@(sK6_SY24@SV3))@(sK8_SY30@SV3)))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[74])).
0.25/12.72	 thf(83,plain,(![SV3:$i]: (((f@(sK8_SY30@SV3))=$false) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_neg,[status(thm)],[74])).
0.25/12.72	 thf(84,plain,(![SV9:$i,SV3:$i]: ((((irel@SV3)@SV9)=$false) | ((f@SV9)=$true) | ((p1@(sK3_SY13@SV3))=$false) | ((p2@(sK3_SY13@SV3))=$false))),inference(extcnf_not_pos,[status(thm)],[75])).
0.25/12.72	 thf(85,plain,(![SV10:$i,SV3:$i]: ((((irel@SV3)@SV10)=$false) | ((f@SV10)=$true) | (((irel@(sK4_SY14@SV3))@(sK5_SY21@SV3))=$true))),inference(extcnf_not_pos,[status(thm)],[76])).
0.25/12.72	 thf(86,plain,(![SV12:$i,SV3:$i]: (((~ ((irel@(sK5_SY21@SV3))@SV12))=$true) | ((p1@SV12)=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_pos,[status(thm)],[77])).
0.25/12.72	 thf(87,plain,(![SV3:$i]: ((((irel@(sK5_SY21@SV3))@(sK7_SY28@SV3))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_neg,[status(thm)],[78])).
0.25/12.72	 thf(88,plain,(![SV14:$i,SV3:$i]: ((((~ ((irel@SV3)@SV14)) | (f@SV14))=$true) | ((f@(sK7_SY28@SV3))=$false))),inference(extcnf_forall_pos,[status(thm)],[79])).
0.25/12.72	 thf(89,plain,(![SV11:$i,SV3:$i]: ((((irel@SV3)@SV11)=$false) | ((f@SV11)=$true) | (((irel@(sK4_SY14@SV3))@(sK6_SY24@SV3))=$true))),inference(extcnf_not_pos,[status(thm)],[80])).
0.25/12.72	 thf(90,plain,(![SV13:$i,SV3:$i]: (((~ ((irel@(sK6_SY24@SV3))@SV13))=$true) | ((p2@SV13)=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_or_pos,[status(thm)],[81])).
0.25/12.72	 thf(91,plain,(![SV3:$i]: ((((irel@(sK6_SY24@SV3))@(sK8_SY30@SV3))=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_neg,[status(thm)],[82])).
0.25/12.72	 thf(92,plain,(![SV15:$i,SV3:$i]: ((((~ ((irel@SV3)@SV15)) | (f@SV15))=$true) | ((f@(sK8_SY30@SV3))=$false))),inference(extcnf_forall_pos,[status(thm)],[83])).
0.25/12.72	 thf(93,plain,(![SV12:$i,SV3:$i]: ((((irel@(sK5_SY21@SV3))@SV12)=$false) | ((p1@SV12)=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_pos,[status(thm)],[86])).
0.25/12.72	 thf(94,plain,(![SV16:$i,SV3:$i]: ((((~ ((irel@SV3)@SV16)) | (f@SV16))=$true) | (((irel@(sK5_SY21@SV3))@(sK7_SY28@SV3))=$true))),inference(extcnf_forall_pos,[status(thm)],[87])).
0.25/12.72	 thf(95,plain,(![SV14:$i,SV3:$i]: (((~ ((irel@SV3)@SV14))=$true) | ((f@SV14)=$true) | ((f@(sK7_SY28@SV3))=$false))),inference(extcnf_or_pos,[status(thm)],[88])).
0.25/12.72	 thf(96,plain,(![SV13:$i,SV3:$i]: ((((irel@(sK6_SY24@SV3))@SV13)=$false) | ((p2@SV13)=$true) | ((![SY11:$i]: ((~ ((irel@SV3)@SY11)) | (f@SY11)))=$true))),inference(extcnf_not_pos,[status(thm)],[90])).
0.25/12.72	 thf(97,plain,(![SV17:$i,SV3:$i]: ((((~ ((irel@SV3)@SV17)) | (f@SV17))=$true) | (((irel@(sK6_SY24@SV3))@(sK8_SY30@SV3))=$true))),inference(extcnf_forall_pos,[status(thm)],[91])).
0.25/12.72	 thf(98,plain,(![SV15:$i,SV3:$i]: (((~ ((irel@SV3)@SV15))=$true) | ((f@SV15)=$true) | ((f@(sK8_SY30@SV3))=$false))),inference(extcnf_or_pos,[status(thm)],[92])).
0.25/12.72	 thf(99,plain,(![SV12:$i,SV18:$i,SV3:$i]: ((((~ ((irel@SV3)@SV18)) | (f@SV18))=$true) | ((p1@SV12)=$true) | (((irel@(sK5_SY21@SV3))@SV12)=$false))),inference(extcnf_forall_pos,[status(thm)],[93])).
0.25/12.72	 thf(100,plain,(![SV16:$i,SV3:$i]: (((~ ((irel@SV3)@SV16))=$true) | ((f@SV16)=$true) | (((irel@(sK5_SY21@SV3))@(sK7_SY28@SV3))=$true))),inference(extcnf_or_pos,[status(thm)],[94])).
0.25/12.72	 thf(101,plain,(![SV14:$i,SV3:$i]: ((((irel@SV3)@SV14)=$false) | ((f@SV14)=$true) | ((f@(sK7_SY28@SV3))=$false))),inference(extcnf_not_pos,[status(thm)],[95])).
0.25/12.72	 thf(102,plain,(![SV13:$i,SV19:$i,SV3:$i]: ((((~ ((irel@SV3)@SV19)) | (f@SV19))=$true) | ((p2@SV13)=$true) | (((irel@(sK6_SY24@SV3))@SV13)=$false))),inference(extcnf_forall_pos,[status(thm)],[96])).
0.25/12.72	 thf(103,plain,(![SV17:$i,SV3:$i]: (((~ ((irel@SV3)@SV17))=$true) | ((f@SV17)=$true) | (((irel@(sK6_SY24@SV3))@(sK8_SY30@SV3))=$true))),inference(extcnf_or_pos,[status(thm)],[97])).
0.25/12.72	 thf(104,plain,(![SV15:$i,SV3:$i]: ((((irel@SV3)@SV15)=$false) | ((f@SV15)=$true) | ((f@(sK8_SY30@SV3))=$false))),inference(extcnf_not_pos,[status(thm)],[98])).
0.25/12.72	 thf(105,plain,(![SV12:$i,SV18:$i,SV3:$i]: (((~ ((irel@SV3)@SV18))=$true) | ((f@SV18)=$true) | ((p1@SV12)=$true) | (((irel@(sK5_SY21@SV3))@SV12)=$false))),inference(extcnf_or_pos,[status(thm)],[99])).
0.25/12.72	 thf(106,plain,(![SV16:$i,SV3:$i]: ((((irel@SV3)@SV16)=$false) | ((f@SV16)=$true) | (((irel@(sK5_SY21@SV3))@(sK7_SY28@SV3))=$true))),inference(extcnf_not_pos,[status(thm)],[100])).
0.25/12.72	 thf(107,plain,(![SV13:$i,SV19:$i,SV3:$i]: (((~ ((irel@SV3)@SV19))=$true) | ((f@SV19)=$true) | ((p2@SV13)=$true) | (((irel@(sK6_SY24@SV3))@SV13)=$false))),inference(extcnf_or_pos,[status(thm)],[102])).
0.25/12.72	 thf(108,plain,(![SV17:$i,SV3:$i]: ((((irel@SV3)@SV17)=$false) | ((f@SV17)=$true) | (((irel@(sK6_SY24@SV3))@(sK8_SY30@SV3))=$true))),inference(extcnf_not_pos,[status(thm)],[103])).
0.25/12.72	 thf(109,plain,(![SV12:$i,SV18:$i,SV3:$i]: ((((irel@SV3)@SV18)=$false) | ((f@SV18)=$true) | ((p1@SV12)=$true) | (((irel@(sK5_SY21@SV3))@SV12)=$false))),inference(extcnf_not_pos,[status(thm)],[105])).
0.25/12.72	 thf(110,plain,(![SV13:$i,SV19:$i,SV3:$i]: ((((irel@SV3)@SV19)=$false) | ((f@SV19)=$true) | ((p2@SV13)=$true) | (((irel@(sK6_SY24@SV3))@SV13)=$false))),inference(extcnf_not_pos,[status(thm)],[107])).
0.25/12.72	 thf(111,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[15,110,109,108,106,104,101,89,85,84,61,59,41,32,19])).
0.25/12.72	 thf(112,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[111])).
0.25/12.72	% SZS output end CNFRefutation
0.25/12.72	
0.25/12.72	%**** End of derivation protocol ****
0.25/12.72	%**** no. of clauses in derivation: 112 ****
0.25/12.72	%**** clause counter: 111 ****
0.25/12.72	
0.25/12.72	% SZS status Theorem for /export/starexec/sandbox2/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:111,loop_count:0,foatp_calls:1,translation:fof_full)
0.25/12.72	EOF