%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP001_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:47:28 PM UTC 2026
% Result : Theorem 1.97s 1.27s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f581ERROR: Could not build tree for root c_236ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
tyop_2Emin_2Ebool: d ).
tff(pred_def_1,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(pred_def_2,type,
sP0: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_3,type,
sP1: ( u * d ) > $o ).
tff(func_def_4,type,
combin_i_2E0: u ).
tff(func_def_5,type,
combin_k_2E0: u ).
tff(func_def_6,type,
combin_s_2E0: u ).
tff(func_def_7,type,
c_2Ebool_2E_21_2E0: u ).
tff(func_def_8,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(func_def_9,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(func_def_10,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(func_def_11,type,
c_2Emin_2E_3D_2E0: u ).
tff(func_def_12,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(func_def_13,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(func_def_14,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_15,type,
c_2Ebool_2E_3F_2E0: u ).
tff(func_def_16,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(func_def_17,type,
c_2Ebool_2EF_2E0: u ).
tff(func_def_18,type,
c_2Ebool_2ET_2E0: u ).
tff(func_def_19,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(func_def_20,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(func_def_21,type,
c_2Ebool_2E_7E_2E0: u ).
tff(func_def_22,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(func_def_23,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_24,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_25,type,
mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_26,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_27,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_28,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_29,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_30,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_31,type,
mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_32,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_33,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_34,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_35,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(func_def_36,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).
tff(func_def_37,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(func_def_38,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_39,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_40,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_41,type,
tyop_2Emin_2Eind: d ).
tff(func_def_42,type,
c_2Ebool_2E_3F_21_2E0: u ).
tff(func_def_43,type,
c_2Ebool_2E_3F_21_2E1: du > u ).
tff(func_def_44,type,
c_2Emin_2E_40_2E0: u ).
tff(func_def_45,type,
c_2Emin_2E_40_2E1: du > u ).
tff(func_def_46,type,
c_2Ebool_2EBOUNDED_2E0: u ).
tff(func_def_47,type,
c_2Ebool_2EBOUNDED_2E1: du > u ).
tff(func_def_48,type,
c_2Ebool_2ECOND_2E0: u ).
tff(func_def_49,type,
c_2Ebool_2ECOND_2E3: ( du * ( du * du ) ) > u ).
tff(func_def_50,type,
c_2Ebool_2EDATATYPE_2E0: u ).
tff(func_def_51,type,
c_2Ebool_2EDATATYPE_2E1: du > u ).
tff(func_def_52,type,
c_2Ebool_2EIN_2E0: u ).
tff(func_def_53,type,
c_2Ebool_2EIN_2E2: ( du * du ) > u ).
tff(func_def_54,type,
c_2Ebool_2ELET_2E0: u ).
tff(func_def_55,type,
c_2Ebool_2ELET_2E2: ( du * du ) > u ).
tff(func_def_56,type,
c_2Ebool_2EONE__ONE_2E0: u ).
tff(func_def_57,type,
c_2Ebool_2EONE__ONE_2E1: du > u ).
tff(func_def_58,type,
c_2Ebool_2EONTO_2E0: u ).
tff(func_def_59,type,
c_2Ebool_2EONTO_2E1: du > u ).
tff(func_def_60,type,
c_2Ebool_2ERES__EXISTS_2E0: u ).
tff(func_def_61,type,
c_2Ebool_2ERES__EXISTS_2E2: ( du * du ) > u ).
tff(func_def_62,type,
c_2Ebool_2ERES__EXISTS__UNIQUE_2E0: u ).
tff(func_def_63,type,
c_2Ebool_2ERES__EXISTS__UNIQUE_2E2: ( du * du ) > u ).
tff(func_def_64,type,
c_2Ebool_2ERES__FORALL_2E0: u ).
tff(func_def_65,type,
c_2Ebool_2ERES__FORALL_2E2: ( du * du ) > u ).
tff(func_def_66,type,
c_2Ebool_2ERES__SELECT_2E0: u ).
tff(func_def_67,type,
c_2Ebool_2ERES__SELECT_2E2: ( du * du ) > u ).
tff(func_def_68,type,
c_2Ebool_2ETYPE__DEFINITION_2E0: u ).
tff(func_def_69,type,
c_2Ebool_2ETYPE__DEFINITION_2E2: ( du * du ) > u ).
tff(func_def_70,type,
c_2Ebool_2Eliteral__case_2E0: u ).
tff(func_def_71,type,
c_2Ebool_2Eliteral__case_2E2: ( du * du ) > u ).
tff(func_def_72,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_73,type,
mono_2Ec_2Ebool_2EBOUNDED_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_74,type,
mono_2Ec_2Ebool_2EBOUNDED_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_75,type,
mono_2Ec_2Ebool_2EONE__ONE_2E0_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_76,type,
mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_77,type,
mono_2Ec_2Ebool_2EONTO_2E0_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_78,type,
mono_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_79,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 > u ).
tff(func_def_80,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 > u ).
tff(func_def_81,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_82,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 ).
tff(func_def_83,type,
sK2: ( u * ( u * ( d * d ) ) ) > u ).
tff(func_def_84,type,
sK3: ( u * d ) > u ).
tff(func_def_85,type,
sK4: ( u * d ) > u ).
tff(func_def_86,type,
sK5: ( u * ( u * ( d * d ) ) ) > u ).
tff(func_def_87,type,
sK6: ( u * d ) > u ).
tff(func_def_88,type,
sK7: ( u * d ) > u ).
tff(func_def_89,type,
sK8: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 ).
tff(func_def_90,type,
sK9: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_91,type,
sK10: ( u * d ) > u ).
tff(func_def_92,type,
sK11: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_93,type,
sK12: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_94,type,
sK13: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_95,type,
sK14: ( u * d ) > u ).
tff(func_def_96,type,
sK15: ( u * d ) > u ).
tff(func_def_97,type,
sK16: ( u * d ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_98,type,
sK17: ( u * d ) > u ).
tff(func_def_99,type,
sK18: ( u * d ) > u ).
tff(func_def_100,type,
sK19: ( u * d ) > u ).
tff(func_def_101,type,
sK20: ( u * ( d * d ) ) > u ).
tff(func_def_102,type,
sK21: ( u * ( d * d ) ) > u ).
tff(func_def_103,type,
sK22: ( u * ( d * d ) ) > u ).
tff(func_def_104,type,
sK23: ( u * ( u * ( d * d ) ) ) > u ).
tff(func_def_105,type,
sK24: ( u * ( d * d ) ) > u ).
tff(func_def_106,type,
sK25: ( u * ( d * d ) ) > u ).
tff(func_def_107,type,
sK26: ( u * ( u * ( d * d ) ) ) > u ).
tff(func_def_108,type,
sK27: ( u * ( u * ( d * d ) ) ) > u ).
tff(func_def_109,type,
sK28: ( u * ( u * ( d * d ) ) ) > u ).
tff(func_def_110,type,
sK29: ( u * ( u * d ) ) > u ).
tff(func_def_111,type,
sK30: ( u * ( u * d ) ) > u ).
tff(func_def_112,type,
sK31: ( u * d ) > u ).
tff(func_def_113,type,
sK32: ( u * d ) > u ).
tff(func_def_114,type,
sK33: ( u * d ) > u ).
tff(func_def_115,type,
sK34: ( u * d ) > u ).
tff(func_def_116,type,
sK35: ( u * d ) > u ).
tff(func_def_117,type,
sK36: ( u * ( u * d ) ) > u ).
tff(func_def_118,type,
sK37: ( u * ( u * d ) ) > u ).
tff(func_def_119,type,
sK38: ( u * ( u * d ) ) > u ).
tff(func_def_120,type,
sK39: ( u * d ) > u ).
tff(func_def_121,type,
sK40: ( u * d ) > u ).
tff(func_def_122,type,
sK41: ( u * d ) > u ).
tff(f112,conjecture,
p(mono_2Ec_2Ebool_2ET_2E0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
tff(f113,negated_conjecture,
~ p(mono_2Ec_2Ebool_2ET_2E0),
inference(negated_conjecture,[status(cth)],[f112]) ).
tff(f117,plain,
~ p(mono_2Ec_2Ebool_2ET_2E0),
inference(flattening,[],[f113]) ).
tff(f450,plain,
~ p(mono_2Ec_2Ebool_2ET_2E0),
inference(cnf_transformation,[],[f117]) ).
tcf(c_174,plain,
p(mono_2Ec_2Ebool_2ET_2E0),
inference(cnf_transformation,[],[f581]) ).
tcf(c_235,negated_conjecture,
~ p(mono_2Ec_2Ebool_2ET_2E0),
inference(cnf_transformation,[],[f450]) ).
tcf(c_236,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_235,c_174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP001_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 17:31:11 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.97/1.27 % SZS status Started for theBenchmark.p
% 1.97/1.27 % SZS status Theorem for theBenchmark.p
% 1.97/1.27
% 1.97/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.97/1.27
% 1.97/1.27 % ------ iProver source info
% 1.97/1.27
% 1.97/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.97/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.97/1.27 % git: non_committed_changes: false
% 1.97/1.27
% 1.97/1.27 % ------ Parsing...
% 1.97/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.97/1.27 %
% 1.97/1.27
% 1.97/1.27 % ------ Preprocessing...%
% 1.97/1.27
% 1.97/1.27 % SZS status Theorem for theBenchmark.p
% 1.97/1.27
% 1.97/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.97/1.27
% 1.97/1.27
%------------------------------------------------------------------------------