0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.08/0.38	% Computer : n011.cluster.edu
0.08/0.38	% Model    : x86_64 x86_64
0.08/0.38	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.38	% Memory   : 8046.5625MB
0.08/0.38	% OS       : Linux 6.8.0-71-generic
0.08/0.38	% CPULimit : 1440
0.08/0.38	% WCLimit  : 180
0.08/0.38	% DateTime : Mon Jul 27 08:55:51 UTC 2026
0.10/0.38	% CPUTime  : 
0.10/0.39	
0.10/0.39	 No.of.Axioms: 0
0.10/0.39	
0.10/0.39	 Length.of.Defs: 0
0.10/0.39	
0.10/0.39	 Contains.Choice.Funs: false
0.10/0.40	(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: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)........eprover: CPU time limit exceeded, terminating
25.12/25.45	.
26.85/27.16	
26.85/27.16	********************************
26.85/27.16	*   All subproblems solved!    *
26.85/27.16	********************************
26.85/27.16	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:96,loop_count:0,foatp_calls:2,translation:fof_full)
26.85/27.17	
26.85/27.17	%**** Beginning of derivation protocol ****
26.85/27.17	% SZS output start CNFRefutation
26.85/27.17	 thf(tp_sK1_Xh,type,(sK1_Xh: (($i>$o)>$i))).
26.85/27.17	 thf(tp_sK2_SY12,type,(sK2_SY12: (($i>$o)>(($i>$o)>($i>$o))))).
26.85/27.17	 thf(tp_sK3_SY14,type,(sK3_SY14: ($i>$o))).
26.85/27.17	 thf(1,conjecture,(![Xh:(($i>$o)>$i)]: ((?[Xp:($i>$o),Xq:($i>$o)]: ((![Xq_31:($i>$o)]: ((~ (Xq_31@(Xh@Xp))) | (Xq_31@(Xh@Xq)))) & (?[Xx:$i]: (~ ((Xq@Xx) <=> (Xp@Xx)))))) | (![Xt:($i>$o)]: ((?[Xq:($i>$o)]: ((Xq@(Xh@(^[Xz:$i]: (?[Xt0:($i>$o)]: ((~ (Xt0@(Xh@Xt0))) & (![Xq0:($i>$o)]: ((~ (Xq0@Xz)) | (Xq0@(Xh@Xt0))))))))) & (~ (Xq@(Xh@Xt))))) | (Xt@(Xh@Xt)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM143_EXPANDB)).
26.85/27.17	 thf(2,negated_conjecture,(((![Xh:(($i>$o)>$i)]: ((?[Xp:($i>$o),Xq:($i>$o)]: ((![Xq_31:($i>$o)]: ((~ (Xq_31@(Xh@Xp))) | (Xq_31@(Xh@Xq)))) & (?[Xx:$i]: (~ ((Xq@Xx) <=> (Xp@Xx)))))) | (![Xt:($i>$o)]: ((?[Xq:($i>$o)]: ((Xq@(Xh@(^[Xz:$i]: (?[Xt0:($i>$o)]: ((~ (Xt0@(Xh@Xt0))) & (![Xq0:($i>$o)]: ((~ (Xq0@Xz)) | (Xq0@(Xh@Xt0))))))))) & (~ (Xq@(Xh@Xt))))) | (Xt@(Xh@Xt))))))=$false)),inference(negate_conjecture,[status(cth)],[1])).
26.85/27.17	 thf(3,plain,(((![Xh:(($i>$o)>$i)]: ((?[Xp:($i>$o),Xq:($i>$o)]: ((![Xq_31:($i>$o)]: ((~ (Xq_31@(Xh@Xp))) | (Xq_31@(Xh@Xq)))) & (?[Xx:$i]: (~ ((Xq@Xx) <=> (Xp@Xx)))))) | (![Xt:($i>$o)]: ((?[Xq:($i>$o)]: ((Xq@(Xh@(^[Xz:$i]: (?[Xt0:($i>$o)]: ((~ (Xt0@(Xh@Xt0))) & (![Xq0:($i>$o)]: ((~ (Xq0@Xz)) | (Xq0@(Xh@Xt0))))))))) & (~ (Xq@(Xh@Xt))))) | (Xt@(Xh@Xt))))))=$false)),inference(unfold_def,[status(thm)],[2])).
26.85/27.17	 thf(4,plain,((((?[SY10:($i>$o),SY11:($i>$o)]: ((![SY12:($i>$o)]: ((~ (SY12@(sK1_Xh@SY10))) | (SY12@(sK1_Xh@SY11)))) & (?[Xx:$i]: (~ ((SY11@Xx) <=> (SY10@Xx)))))) | (![SY14:($i>$o)]: ((?[SY15:($i>$o)]: ((SY15@(sK1_Xh@(^[SY16:$i]: (?[SY17:($i>$o)]: ((~ (SY17@(sK1_Xh@SY17))) & (![SY18:($i>$o)]: ((~ (SY18@SY16)) | (SY18@(sK1_Xh@SY17))))))))) & (~ (SY15@(sK1_Xh@SY14))))) | (SY14@(sK1_Xh@SY14)))))=$false)),inference(extcnf_forall_neg,[status(esa)],[3])).
26.85/27.17	 thf(5,plain,(((~ ((?[SY10:($i>$o),SY11:($i>$o)]: ((![SY12:($i>$o)]: ((~ (SY12@(sK1_Xh@SY10))) | (SY12@(sK1_Xh@SY11)))) & (?[Xx:$i]: (~ ((SY11@Xx) <=> (SY10@Xx)))))) | (![SY14:($i>$o)]: ((?[SY15:($i>$o)]: ((SY15@(sK1_Xh@(^[SY16:$i]: (?[SY17:($i>$o)]: ((~ (SY17@(sK1_Xh@SY17))) & (![SY18:($i>$o)]: ((~ (SY18@SY16)) | (SY18@(sK1_Xh@SY17))))))))) & (~ (SY15@(sK1_Xh@SY14))))) | (SY14@(sK1_Xh@SY14))))))=$true)),inference(polarity_switch,[status(thm)],[4])).
26.85/27.17	 thf(6,plain,(((((![SY19:($i>$o)]: ((~ (SY19@(sK1_Xh@(^[SY16:$i]: (?[SY17:($i>$o)]: ((~ (SY17@(sK1_Xh@SY17))) & (![SY18:($i>$o)]: ((~ (SY18@SY16)) | (SY18@(sK1_Xh@SY17)))))))))) | (SY19@(sK1_Xh@sK3_SY14)))) & (~ (sK3_SY14@(sK1_Xh@sK3_SY14)))) & (![SY10:($i>$o),SY11:($i>$o)]: (((((sK2_SY12@SY11)@SY10)@(sK1_Xh@SY10)) & (~ (((sK2_SY12@SY11)@SY10)@(sK1_Xh@SY11)))) | ((![Xx:$i]: ((~ (SY10@Xx)) | (SY11@Xx))) & (![Xx:$i]: ((~ (SY11@Xx)) | (SY10@Xx)))))))=$true)),inference(extcnf_combined,[status(esa)],[5])).
26.85/27.17	 thf(7,plain,(((((![SY19:($i>$o)]: ((~ (SY19@(sK1_Xh@(^[SY16:$i]: (?[SY17:($i>$o)]: ((~ (SY17@(sK1_Xh@SY17))) & (![SY18:($i>$o)]: ((~ (SY18@SY16)) | (SY18@(sK1_Xh@SY17)))))))))) | (SY19@(sK1_Xh@sK3_SY14)))) & (~ (sK3_SY14@(sK1_Xh@sK3_SY14)))) & (![SY10:($i>$o),SY11:($i>$o)]: (((((sK2_SY12@SY11)@SY10)@(sK1_Xh@SY10)) & (~ (((sK2_SY12@SY11)@SY10)@(sK1_Xh@SY11)))) | ((![Xx:$i]: ((~ (SY10@Xx)) | (SY11@Xx))) & (![Xx:$i]: ((~ (SY11@Xx)) | (SY10@Xx)))))))=$true)),inference(copy,[status(thm)],[6])).
26.85/27.17	 thf(8,plain,(((~ ((~ (~ ((~ (![SX0:($i>$o)]: ((~ (SX0@(sK1_Xh@(^[SX1:$i]: (~ (![SX2:($i>$o)]: (~ (~ ((~ (~ (SX2@(sK1_Xh@SX2)))) | (~ (![SX3:($i>$o)]: ((~ (SX3@SX1)) | (SX3@(sK1_Xh@SX2)))))))))))))) | (SX0@(sK1_Xh@sK3_SY14))))) | (~ (~ (sK3_SY14@(sK1_Xh@sK3_SY14))))))) | (~ (![SX0:($i>$o),SX1:($i>$o)]: ((~ ((~ (((sK2_SY12@SX1)@SX0)@(sK1_Xh@SX0))) | (~ (~ (((sK2_SY12@SX1)@SX0)@(sK1_Xh@SX1)))))) | (~ ((~ (![SX2:$i]: ((~ (SX0@SX2)) | (SX1@SX2)))) | (~ (![SX2:$i]: ((~ (SX1@SX2)) | (SX0@SX2)))))))))))=$true)),inference(unfold_def,[status(thm)],[7])).
26.85/27.17	 thf(9,plain,((((~ (~ ((~ (![SX0:($i>$o)]: ((~ (SX0@(sK1_Xh@(^[SX1:$i]: (~ (![SX2:($i>$o)]: (~ (~ ((~ (~ (SX2@(sK1_Xh@SX2)))) | (~ (![SX3:($i>$o)]: ((~ (SX3@SX1)) | (SX3@(sK1_Xh@SX2)))))))))))))) | (SX0@(sK1_Xh@sK3_SY14))))) | (~ (~ (sK3_SY14@(sK1_Xh@sK3_SY14))))))) | (~ (![SX0:($i>$o),SX1:($i>$o)]: ((~ ((~ (((sK2_SY12@SX1)@SX0)@(sK1_Xh@SX0))) | (~ (~ (((sK2_SY12@SX1)@SX0)@(sK1_Xh@SX1)))))) | (~ ((~ (![SX2:$i]: ((~ (SX0@SX2)) | (SX1@SX2)))) | (~ (![SX2:$i]: ((~ (SX1@SX2)) | (SX0@SX2))))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[8])).
26.85/27.17	 thf(10,plain,(((~ (~ ((~ (![SX0:($i>$o)]: ((~ (SX0@(sK1_Xh@(^[SX1:$i]: (~ (![SX2:($i>$o)]: (~ (~ ((~ (~ (SX2@(sK1_Xh@SX2)))) | (~ (![SX3:($i>$o)]: ((~ (SX3@SX1)) | (SX3@(sK1_Xh@SX2)))))))))))))) | (SX0@(sK1_Xh@sK3_SY14))))) | (~ (~ (sK3_SY14@(sK1_Xh@sK3_SY14)))))))=$false)),inference(extcnf_or_neg,[status(thm)],[9])).
26.85/27.17	 thf(11,plain,(((~ (![SX0:($i>$o),SX1:($i>$o)]: ((~ ((~ (((sK2_SY12@SX1)@SX0)@(sK1_Xh@SX0))) | (~ (~ (((sK2_SY12@SX1)@SX0)@(sK1_Xh@SX1)))))) | (~ ((~ (![SX2:$i]: ((~ (SX0@SX2)) | (SX1@SX2)))) | (~ (![SX2:$i]: ((~ (SX1@SX2)) | (SX0@SX2)))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[9])).
26.85/27.17	 thf(12,plain,(((~ ((~ (![SX0:($i>$o)]: ((~ (SX0@(sK1_Xh@(^[SX1:$i]: (~ (![SX2:($i>$o)]: (~ (~ ((~ (~ (SX2@(sK1_Xh@SX2)))) | (~ (![SX3:($i>$o)]: ((~ (SX3@SX1)) | (SX3@(sK1_Xh@SX2)))))))))))))) | (SX0@(sK1_Xh@sK3_SY14))))) | (~ (~ (sK3_SY14@(sK1_Xh@sK3_SY14))))))=$true)),inference(extcnf_not_neg,[status(thm)],[10])).
26.85/27.17	 thf(13,plain,(((![SX0:($i>$o),SX1:($i>$o)]: ((~ ((~ (((sK2_SY12@SX1)@SX0)@(sK1_Xh@SX0))) | (~ (~ (((sK2_SY12@SX1)@SX0)@(sK1_Xh@SX1)))))) | (~ ((~ (![SX2:$i]: ((~ (SX0@SX2)) | (SX1@SX2)))) | (~ (![SX2:$i]: ((~ (SX1@SX2)) | (SX0@SX2))))))))=$true)),inference(extcnf_not_neg,[status(thm)],[11])).
26.85/27.17	 thf(14,plain,((((~ (![SX0:($i>$o)]: ((~ (SX0@(sK1_Xh@(^[SX1:$i]: (~ (![SX2:($i>$o)]: (~ (~ ((~ (~ (SX2@(sK1_Xh@SX2)))) | (~ (![SX3:($i>$o)]: ((~ (SX3@SX1)) | (SX3@(sK1_Xh@SX2)))))))))))))) | (SX0@(sK1_Xh@sK3_SY14))))) | (~ (~ (sK3_SY14@(sK1_Xh@sK3_SY14)))))=$false)),inference(extcnf_not_pos,[status(thm)],[12])).
26.85/27.17	 thf(15,plain,(![SV1:($i>$o)]: (((![SY23:($i>$o)]: ((~ ((~ (((sK2_SY12@SY23)@SV1)@(sK1_Xh@SV1))) | (~ (~ (((sK2_SY12@SY23)@SV1)@(sK1_Xh@SY23)))))) | (~ ((~ (![SY24:$i]: ((~ (SV1@SY24)) | (SY23@SY24)))) | (~ (![SY25:$i]: ((~ (SY23@SY25)) | (SV1@SY25))))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[13])).
26.85/27.17	 thf(16,plain,(((~ (![SX0:($i>$o)]: ((~ (SX0@(sK1_Xh@(^[SX1:$i]: (~ (![SX2:($i>$o)]: (~ (~ ((~ (~ (SX2@(sK1_Xh@SX2)))) | (~ (![SX3:($i>$o)]: ((~ (SX3@SX1)) | (SX3@(sK1_Xh@SX2)))))))))))))) | (SX0@(sK1_Xh@sK3_SY14)))))=$false)),inference(extcnf_or_neg,[status(thm)],[14])).
26.85/27.17	 thf(17,plain,(((~ (~ (sK3_SY14@(sK1_Xh@sK3_SY14))))=$false)),inference(extcnf_or_neg,[status(thm)],[14])).
26.85/27.17	 thf(18,plain,(![SV1:($i>$o),SV2:($i>$o)]: ((((~ ((~ (((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))) | (~ (~ (((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2)))))) | (~ ((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))) | (~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[15])).
26.85/27.17	 thf(19,plain,(((![SX0:($i>$o)]: ((~ (SX0@(sK1_Xh@(^[SX1:$i]: (~ (![SX2:($i>$o)]: (~ (~ ((~ (~ (SX2@(sK1_Xh@SX2)))) | (~ (![SX3:($i>$o)]: ((~ (SX3@SX1)) | (SX3@(sK1_Xh@SX2)))))))))))))) | (SX0@(sK1_Xh@sK3_SY14))))=$true)),inference(extcnf_not_neg,[status(thm)],[16])).
26.85/27.17	 thf(20,plain,(((~ (sK3_SY14@(sK1_Xh@sK3_SY14)))=$true)),inference(extcnf_not_neg,[status(thm)],[17])).
26.85/27.17	 thf(21,plain,(![SV1:($i>$o),SV2:($i>$o)]: (((~ ((~ (((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))) | (~ (~ (((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))))))=$true) | ((~ ((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))) | (~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27))))))=$true))),inference(extcnf_or_pos,[status(thm)],[18])).
26.85/27.17	 thf(22,plain,(![SV3:($i>$o)]: ((((~ (SV3@(sK1_Xh@(^[SX1:$i]: (~ (![SX2:($i>$o)]: (~ (~ ((~ (~ (SX2@(sK1_Xh@SX2)))) | (~ (![SX3:($i>$o)]: ((~ (SX3@SX1)) | (SX3@(sK1_Xh@SX2)))))))))))))) | (SV3@(sK1_Xh@sK3_SY14)))=$true))),inference(extcnf_forall_pos,[status(thm)],[19])).
26.85/27.17	 thf(23,plain,(((sK3_SY14@(sK1_Xh@sK3_SY14))=$false)),inference(extcnf_not_pos,[status(thm)],[20])).
26.85/27.17	 thf(24,plain,(![SV1:($i>$o),SV2:($i>$o)]: ((((~ (((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))) | (~ (~ (((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2)))))=$false) | ((~ ((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))) | (~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27))))))=$true))),inference(extcnf_not_pos,[status(thm)],[21])).
26.85/27.17	 thf(25,plain,(![SV3:($i>$o)]: (((~ (SV3@(sK1_Xh@(^[SX1:$i]: (~ (![SX2:($i>$o)]: (~ (~ ((~ (~ (SX2@(sK1_Xh@SX2)))) | (~ (![SX3:($i>$o)]: ((~ (SX3@SX1)) | (SX3@(sK1_Xh@SX2))))))))))))))=$true) | ((SV3@(sK1_Xh@sK3_SY14))=$true))),inference(extcnf_or_pos,[status(thm)],[22])).
26.85/27.17	 thf(26,plain,(![SV1:($i>$o),SV2:($i>$o)]: (((~ (((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1)))=$false) | ((~ ((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))) | (~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27))))))=$true))),inference(extcnf_or_neg,[status(thm)],[24])).
26.85/27.17	 thf(27,plain,(![SV1:($i>$o),SV2:($i>$o)]: (((~ (~ (((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))))=$false) | ((~ ((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))) | (~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27))))))=$true))),inference(extcnf_or_neg,[status(thm)],[24])).
26.85/27.17	 thf(28,plain,(![SV3:($i>$o)]: (((SV3@(sK1_Xh@(^[SX1:$i]: (~ (![SX2:($i>$o)]: (~ (~ ((~ (~ (SX2@(sK1_Xh@SX2)))) | (~ (![SX3:($i>$o)]: ((~ (SX3@SX1)) | (SX3@(sK1_Xh@SX2)))))))))))))=$false) | ((SV3@(sK1_Xh@sK3_SY14))=$true))),inference(extcnf_not_pos,[status(thm)],[25])).
26.85/27.17	 thf(29,plain,(![SV1:($i>$o),SV2:($i>$o)]: (((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true) | ((~ ((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))) | (~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27))))))=$true))),inference(extcnf_not_neg,[status(thm)],[26])).
26.85/27.17	 thf(30,plain,(![SV1:($i>$o),SV2:($i>$o)]: (((~ (((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2)))=$true) | ((~ ((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))) | (~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27))))))=$true))),inference(extcnf_not_neg,[status(thm)],[27])).
26.85/27.17	 thf(31,plain,(![SV2:($i>$o),SV1:($i>$o)]: ((((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))) | (~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27)))))=$false) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_not_pos,[status(thm)],[29])).
26.85/27.17	 thf(32,plain,(![SV1:($i>$o),SV2:($i>$o)]: (((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false) | ((~ ((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))) | (~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27))))))=$true))),inference(extcnf_not_pos,[status(thm)],[30])).
26.85/27.17	 thf(33,plain,(![SV2:($i>$o),SV1:($i>$o)]: (((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26))))=$false) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_or_neg,[status(thm)],[31])).
26.85/27.17	 thf(34,plain,(![SV1:($i>$o),SV2:($i>$o)]: (((~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27))))=$false) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_or_neg,[status(thm)],[31])).
26.85/27.17	 thf(35,plain,(![SV2:($i>$o),SV1:($i>$o)]: ((((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))) | (~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27)))))=$false) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false))),inference(extcnf_not_pos,[status(thm)],[32])).
26.85/27.17	 thf(36,plain,(![SV2:($i>$o),SV1:($i>$o)]: (((![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_not_neg,[status(thm)],[33])).
26.85/27.17	 thf(37,plain,(![SV1:($i>$o),SV2:($i>$o)]: (((![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27)))=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_not_neg,[status(thm)],[34])).
26.85/27.17	 thf(38,plain,(![SV2:($i>$o),SV1:($i>$o)]: (((~ (![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26))))=$false) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false))),inference(extcnf_or_neg,[status(thm)],[35])).
26.85/27.17	 thf(39,plain,(![SV1:($i>$o),SV2:($i>$o)]: (((~ (![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27))))=$false) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false))),inference(extcnf_or_neg,[status(thm)],[35])).
26.85/27.17	 thf(40,plain,(![SV2:($i>$o),SV4:$i,SV1:($i>$o)]: ((((~ (SV1@SV4)) | (SV2@SV4))=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_forall_pos,[status(thm)],[36])).
26.85/27.17	 thf(41,plain,(![SV1:($i>$o),SV5:$i,SV2:($i>$o)]: ((((~ (SV2@SV5)) | (SV1@SV5))=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_forall_pos,[status(thm)],[37])).
26.85/27.17	 thf(42,plain,(![SV2:($i>$o),SV1:($i>$o)]: (((![SY26:$i]: ((~ (SV1@SY26)) | (SV2@SY26)))=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false))),inference(extcnf_not_neg,[status(thm)],[38])).
26.85/27.17	 thf(43,plain,(![SV1:($i>$o),SV2:($i>$o)]: (((![SY27:$i]: ((~ (SV2@SY27)) | (SV1@SY27)))=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false))),inference(extcnf_not_neg,[status(thm)],[39])).
26.85/27.17	 thf(44,plain,(![SV2:($i>$o),SV4:$i,SV1:($i>$o)]: (((~ (SV1@SV4))=$true) | ((SV2@SV4)=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_or_pos,[status(thm)],[40])).
26.85/27.17	 thf(45,plain,(![SV1:($i>$o),SV5:$i,SV2:($i>$o)]: (((~ (SV2@SV5))=$true) | ((SV1@SV5)=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_or_pos,[status(thm)],[41])).
26.85/27.17	 thf(46,plain,(![SV2:($i>$o),SV6:$i,SV1:($i>$o)]: ((((~ (SV1@SV6)) | (SV2@SV6))=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false))),inference(extcnf_forall_pos,[status(thm)],[42])).
26.85/27.17	 thf(47,plain,(![SV1:($i>$o),SV7:$i,SV2:($i>$o)]: ((((~ (SV2@SV7)) | (SV1@SV7))=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false))),inference(extcnf_forall_pos,[status(thm)],[43])).
26.85/27.17	 thf(48,plain,(![SV2:($i>$o),SV4:$i,SV1:($i>$o)]: (((SV1@SV4)=$false) | ((SV2@SV4)=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_not_pos,[status(thm)],[44])).
26.85/27.17	 thf(49,plain,(![SV1:($i>$o),SV5:$i,SV2:($i>$o)]: (((SV2@SV5)=$false) | ((SV1@SV5)=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_not_pos,[status(thm)],[45])).
26.85/27.17	 thf(50,plain,(![SV2:($i>$o),SV6:$i,SV1:($i>$o)]: (((~ (SV1@SV6))=$true) | ((SV2@SV6)=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false))),inference(extcnf_or_pos,[status(thm)],[46])).
26.85/27.17	 thf(51,plain,(![SV1:($i>$o),SV7:$i,SV2:($i>$o)]: (((~ (SV2@SV7))=$true) | ((SV1@SV7)=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false))),inference(extcnf_or_pos,[status(thm)],[47])).
26.85/27.17	 thf(52,plain,(![SV2:($i>$o),SV6:$i,SV1:($i>$o)]: (((SV1@SV6)=$false) | ((SV2@SV6)=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false))),inference(extcnf_not_pos,[status(thm)],[50])).
26.85/27.17	 thf(53,plain,(![SV1:($i>$o),SV7:$i,SV2:($i>$o)]: (((SV2@SV7)=$false) | ((SV1@SV7)=$true) | ((((sK2_SY12@SV2)@SV1)@(sK1_Xh@SV2))=$false))),inference(extcnf_not_pos,[status(thm)],[51])).
26.85/27.17	 thf(54,plain,((((sK1_Xh@(^[SX0:$i]: (~ (![SX1:($i>$o)]: (~ (~ ((~ (~ (SX1@(sK1_Xh@SX1)))) | (~ (![SX2:($i>$o)]: ((~ (SX2@SX0)) | (SX2@(sK1_Xh@SX1)))))))))))) = (sK1_Xh@(^[SX0:$i]: (~ (![SX1:($i>$o)]: (~ (~ ((~ (~ (SX1@(sK1_Xh@SX1)))) | (~ (![SX2:($i>$o)]: ((~ (SX2@SX0)) | (SX2@(sK1_Xh@SX1)))))))))))))=$false) | (((sK1_Xh@sK3_SY14) = (sK1_Xh@(^[SX0:$i]: (~ (![SX1:($i>$o)]: (~ (~ ((~ (~ (SX1@(sK1_Xh@SX1)))) | (~ (![SX2:($i>$o)]: ((~ (SX2@SX0)) | (SX2@(sK1_Xh@SX1)))))))))))))=$true)),inference(replace_leibnizEQ,[status(thm)],[28:[bind(SV3, $thf(^[SV8:$i]: (SV8 = (sK1_Xh@(^[SX1:$i]: (~ (![SX2:($i>$o)]: (~ (~ ((~ (~ (SX2@(sK1_Xh@SX2)))) | (~ (![SX3:($i>$o)]: ((~ (SX3@SX1)) | (SX3@(sK1_Xh@SX2)))))))))))))))]])).
26.85/27.17	 thf(55,plain,((((sK1_Xh@sK3_SY14) = (sK1_Xh@(^[SX0:$i]: (~ (![SX1:($i>$o)]: (~ (~ ((~ (~ (SX1@(sK1_Xh@SX1)))) | (~ (![SX2:($i>$o)]: ((~ (SX2@SX0)) | (SX2@(sK1_Xh@SX1)))))))))))))=$true)),inference(sim,[status(thm)],[54])).
26.85/27.17	 thf(57,plain,(![SV4:$i,SV1:($i>$o)]: (((SV1@SV4)=$false) | (($false)=$true) | ((((sK2_SY12@(^[SX0:$i]: $false))@SV1)@(sK1_Xh@SV1))=$true))),inference(prim_subst,[status(thm)],[48:[bind(SV2,$thf(^[SV11:$i]: $false))]])).
26.85/27.17	 thf(58,plain,(![SV10:($i>$o),SV4:$i,SV1:($i>$o)]: (((SV1@SV4)=$false) | ((~ (SV10@SV4))=$true) | ((((sK2_SY12@(^[SX0:$i]: (~ (SV10@SX0))))@SV1)@(sK1_Xh@SV1))=$true))),inference(prim_subst,[status(thm)],[48:[bind(SV2,$thf(^[SV9:$i]: (~ (SV10@SV9))))]])).
26.85/27.17	 thf(59,plain,(![SV4:$i,SV2:($i>$o)]: ((($true)=$false) | ((SV2@SV4)=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: $true))@(sK1_Xh@(^[SX0:$i]: $true)))=$true))),inference(prim_subst,[status(thm)],[48:[bind(SV1,$thf(^[SV16:$i]: $true))]])).
26.85/27.17	 thf(61,plain,(![SV2:($i>$o),SV4:$i,SV14:($i>$o)]: (((~ (SV14@SV4))=$false) | ((SV2@SV4)=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: (~ (SV14@SX0))))@(sK1_Xh@(^[SX0:$i]: (~ (SV14@SX0)))))=$true))),inference(prim_subst,[status(thm)],[48:[bind(SV1,$thf(^[SV13:$i]: (~ (SV14@SV13))))]])).
26.85/27.17	 thf(62,plain,(![SV5:$i,SV1:($i>$o)]: ((($true)=$false) | ((SV1@SV5)=$true) | ((((sK2_SY12@(^[SX0:$i]: $true))@SV1)@(sK1_Xh@SV1))=$true))),inference(prim_subst,[status(thm)],[49:[bind(SV2,$thf(^[SV12:$i]: $true))]])).
26.85/27.17	 thf(64,plain,(![SV1:($i>$o),SV5:$i,SV10:($i>$o)]: (((~ (SV10@SV5))=$false) | ((SV1@SV5)=$true) | ((((sK2_SY12@(^[SX0:$i]: (~ (SV10@SX0))))@SV1)@(sK1_Xh@SV1))=$true))),inference(prim_subst,[status(thm)],[49:[bind(SV2,$thf(^[SV9:$i]: (~ (SV10@SV9))))]])).
26.85/27.17	 thf(66,plain,(![SV5:$i,SV2:($i>$o)]: (((SV2@SV5)=$false) | (($false)=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: $false))@(sK1_Xh@(^[SX0:$i]: $false)))=$true))),inference(prim_subst,[status(thm)],[49:[bind(SV1,$thf(^[SV15:$i]: $false))]])).
26.85/27.17	 thf(67,plain,(![SV14:($i>$o),SV5:$i,SV2:($i>$o)]: (((SV2@SV5)=$false) | ((~ (SV14@SV5))=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: (~ (SV14@SX0))))@(sK1_Xh@(^[SX0:$i]: (~ (SV14@SX0)))))=$true))),inference(prim_subst,[status(thm)],[49:[bind(SV1,$thf(^[SV13:$i]: (~ (SV14@SV13))))]])).
26.85/27.17	 thf(69,plain,(![SV6:$i,SV1:($i>$o)]: (((SV1@SV6)=$false) | (($false)=$true) | ((((sK2_SY12@(^[SX0:$i]: $false))@SV1)@(sK1_Xh@(^[SX0:$i]: $false)))=$false))),inference(prim_subst,[status(thm)],[52:[bind(SV2,$thf(^[SV11:$i]: $false))]])).
26.85/27.17	 thf(70,plain,(![SV10:($i>$o),SV6:$i,SV1:($i>$o)]: (((SV1@SV6)=$false) | ((~ (SV10@SV6))=$true) | ((((sK2_SY12@(^[SX0:$i]: (~ (SV10@SX0))))@SV1)@(sK1_Xh@(^[SX0:$i]: (~ (SV10@SX0)))))=$false))),inference(prim_subst,[status(thm)],[52:[bind(SV2,$thf(^[SV9:$i]: (~ (SV10@SV9))))]])).
26.85/27.17	 thf(71,plain,(![SV6:$i,SV2:($i>$o)]: ((($true)=$false) | ((SV2@SV6)=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: $true))@(sK1_Xh@SV2))=$false))),inference(prim_subst,[status(thm)],[52:[bind(SV1,$thf(^[SV16:$i]: $true))]])).
26.85/27.17	 thf(73,plain,(![SV2:($i>$o),SV6:$i,SV14:($i>$o)]: (((~ (SV14@SV6))=$false) | ((SV2@SV6)=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: (~ (SV14@SX0))))@(sK1_Xh@SV2))=$false))),inference(prim_subst,[status(thm)],[52:[bind(SV1,$thf(^[SV13:$i]: (~ (SV14@SV13))))]])).
26.85/27.17	 thf(74,plain,(![SV7:$i,SV1:($i>$o)]: ((($true)=$false) | ((SV1@SV7)=$true) | ((((sK2_SY12@(^[SX0:$i]: $true))@SV1)@(sK1_Xh@(^[SX0:$i]: $true)))=$false))),inference(prim_subst,[status(thm)],[53:[bind(SV2,$thf(^[SV12:$i]: $true))]])).
26.85/27.17	 thf(76,plain,(![SV1:($i>$o),SV7:$i,SV10:($i>$o)]: (((~ (SV10@SV7))=$false) | ((SV1@SV7)=$true) | ((((sK2_SY12@(^[SX0:$i]: (~ (SV10@SX0))))@SV1)@(sK1_Xh@(^[SX0:$i]: (~ (SV10@SX0)))))=$false))),inference(prim_subst,[status(thm)],[53:[bind(SV2,$thf(^[SV9:$i]: (~ (SV10@SV9))))]])).
26.85/27.17	 thf(78,plain,(![SV7:$i,SV2:($i>$o)]: (((SV2@SV7)=$false) | (($false)=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: $false))@(sK1_Xh@SV2))=$false))),inference(prim_subst,[status(thm)],[53:[bind(SV1,$thf(^[SV15:$i]: $false))]])).
26.85/27.17	 thf(79,plain,(![SV14:($i>$o),SV7:$i,SV2:($i>$o)]: (((SV2@SV7)=$false) | ((~ (SV14@SV7))=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: (~ (SV14@SX0))))@(sK1_Xh@SV2))=$false))),inference(prim_subst,[status(thm)],[53:[bind(SV1,$thf(^[SV13:$i]: (~ (SV14@SV13))))]])).
26.85/27.17	 thf(80,plain,(![SV1:($i>$o),SV4:$i,SV10:($i>$o)]: (((SV10@SV4)=$false) | ((SV1@SV4)=$false) | ((((sK2_SY12@(^[SX0:$i]: (~ (SV10@SX0))))@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_not_pos,[status(thm)],[58])).
26.85/27.17	 thf(81,plain,(![SV2:($i>$o),SV4:$i,SV14:($i>$o)]: (((SV14@SV4)=$true) | ((SV2@SV4)=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: (~ (SV14@SX0))))@(sK1_Xh@(^[SX0:$i]: (~ (SV14@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[61])).
26.85/27.17	 thf(82,plain,(![SV1:($i>$o),SV5:$i,SV10:($i>$o)]: (((SV10@SV5)=$true) | ((SV1@SV5)=$true) | ((((sK2_SY12@(^[SX0:$i]: (~ (SV10@SX0))))@SV1)@(sK1_Xh@SV1))=$true))),inference(extcnf_not_neg,[status(thm)],[64])).
26.85/27.17	 thf(83,plain,(![SV2:($i>$o),SV5:$i,SV14:($i>$o)]: (((SV14@SV5)=$false) | ((SV2@SV5)=$false) | ((((sK2_SY12@SV2)@(^[SX0:$i]: (~ (SV14@SX0))))@(sK1_Xh@(^[SX0:$i]: (~ (SV14@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[67])).
26.85/27.17	 thf(84,plain,(![SV1:($i>$o),SV6:$i,SV10:($i>$o)]: (((SV10@SV6)=$false) | ((SV1@SV6)=$false) | ((((sK2_SY12@(^[SX0:$i]: (~ (SV10@SX0))))@SV1)@(sK1_Xh@(^[SX0:$i]: (~ (SV10@SX0)))))=$false))),inference(extcnf_not_pos,[status(thm)],[70])).
26.85/27.17	 thf(85,plain,(![SV2:($i>$o),SV6:$i,SV14:($i>$o)]: (((SV14@SV6)=$true) | ((SV2@SV6)=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: (~ (SV14@SX0))))@(sK1_Xh@SV2))=$false))),inference(extcnf_not_neg,[status(thm)],[73])).
26.85/27.17	 thf(86,plain,(![SV1:($i>$o),SV7:$i,SV10:($i>$o)]: (((SV10@SV7)=$true) | ((SV1@SV7)=$true) | ((((sK2_SY12@(^[SX0:$i]: (~ (SV10@SX0))))@SV1)@(sK1_Xh@(^[SX0:$i]: (~ (SV10@SX0)))))=$false))),inference(extcnf_not_neg,[status(thm)],[76])).
26.85/27.17	 thf(87,plain,(![SV2:($i>$o),SV7:$i,SV14:($i>$o)]: (((SV14@SV7)=$false) | ((SV2@SV7)=$false) | ((((sK2_SY12@SV2)@(^[SX0:$i]: (~ (SV14@SX0))))@(sK1_Xh@SV2))=$false))),inference(extcnf_not_pos,[status(thm)],[79])).
26.85/27.17	 thf(88,plain,(![SV4:$i,SV1:($i>$o)]: (((SV1@SV4)=$false) | ((((sK2_SY12@(^[SX0:$i]: $false))@SV1)@(sK1_Xh@SV1))=$true))),inference(sim,[status(thm)],[57])).
26.85/27.17	 thf(89,plain,(![SV4:$i,SV2:($i>$o)]: (((SV2@SV4)=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: $true))@(sK1_Xh@(^[SX0:$i]: $true)))=$true))),inference(sim,[status(thm)],[59])).
26.85/27.17	 thf(90,plain,(![SV5:$i,SV1:($i>$o)]: (((SV1@SV5)=$true) | ((((sK2_SY12@(^[SX0:$i]: $true))@SV1)@(sK1_Xh@SV1))=$true))),inference(sim,[status(thm)],[62])).
26.85/27.17	 thf(91,plain,(![SV5:$i,SV2:($i>$o)]: (((SV2@SV5)=$false) | ((((sK2_SY12@SV2)@(^[SX0:$i]: $false))@(sK1_Xh@(^[SX0:$i]: $false)))=$true))),inference(sim,[status(thm)],[66])).
26.85/27.17	 thf(92,plain,(![SV6:$i,SV1:($i>$o)]: (((SV1@SV6)=$false) | ((((sK2_SY12@(^[SX0:$i]: $false))@SV1)@(sK1_Xh@(^[SX0:$i]: $false)))=$false))),inference(sim,[status(thm)],[69])).
26.85/27.17	 thf(93,plain,(![SV6:$i,SV2:($i>$o)]: (((SV2@SV6)=$true) | ((((sK2_SY12@SV2)@(^[SX0:$i]: $true))@(sK1_Xh@SV2))=$false))),inference(sim,[status(thm)],[71])).
26.85/27.17	 thf(94,plain,(![SV7:$i,SV1:($i>$o)]: (((SV1@SV7)=$true) | ((((sK2_SY12@(^[SX0:$i]: $true))@SV1)@(sK1_Xh@(^[SX0:$i]: $true)))=$false))),inference(sim,[status(thm)],[74])).
26.85/27.17	 thf(95,plain,(![SV7:$i,SV2:($i>$o)]: (((SV2@SV7)=$false) | ((((sK2_SY12@SV2)@(^[SX0:$i]: $false))@(sK1_Xh@SV2))=$false))),inference(sim,[status(thm)],[78])).
26.85/27.17	 thf(96,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[23,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,55,53,52,49,48])).
26.85/27.17	 thf(97,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[96])).
26.85/27.17	% SZS output end CNFRefutation
26.85/27.17	
26.85/27.17	%**** End of derivation protocol ****
26.85/27.17	%**** no. of clauses in derivation: 89 ****
26.85/27.17	%**** clause counter: 96 ****
26.85/27.17	
26.85/27.17	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:96,loop_count:0,foatp_calls:2,translation:fof_full)
26.85/27.17	EOF