0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command    : run_vampire %s %d THM
0.10/0.35	% Computer   : n002.cluster.edu
0.10/0.35	% Model      : x86_64 x86_64
0.10/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.35	% Memory     : 8046.5625MB
0.10/0.35	% OS         : Linux 6.8.0-71-generic
0.10/0.35	% CPULimit   : 1440
0.10/0.35	% WCLimit    : 180
0.10/0.35	% DateTime   : Mon Jul 27 12:35:43 UTC 2026
0.10/0.35	% CPUTime    : 
0.13/0.38	This is a THF_ problem
0.13/0.39	Running higher-order theorem proving
0.13/0.42	Running /export/starexec/sandbox2/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.GfTuYawL9a/E---3.1_3322712.p -m 16384 -t 180
0.20/0.48	% (3322756)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_3322712 for (1799ds/183Mi)
0.20/0.48	% (3322757)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on E---3.1_3322712 for (1799ds/4Mi)
0.20/0.48	% (3322758)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_3322712 for (1799ds/27Mi)
0.20/0.48	% (3322759)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_3322712 for (1799ds/2Mi)
0.20/0.48	% (3322760)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_3322712 for (1799ds/2Mi)
0.20/0.48	% (3322761)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_3322712 for (1799ds/275Mi)
0.20/0.48	% (3322762)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_3322712 for (1799ds/18Mi)
0.20/0.48	% (3322759)Instruction limit reached!
0.20/0.48	% (3322759)------------------------------
0.20/0.48	% (3322759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.48	% (3322759)Termination reason: Unknown
0.20/0.48	% (3322759)Termination phase: shuffling
0.20/0.48	
0.20/0.48	% (3322759)Memory used [KB]: 1151
0.20/0.48	% (3322759)Time elapsed: 0.004 s
0.20/0.48	% (3322759)Instructions burned: 3 (million)
0.20/0.48	% (3322759)------------------------------
0.20/0.48	% (3322759)------------------------------
0.20/0.48	% (3322760)Instruction limit reached!
0.20/0.48	% (3322760)------------------------------
0.20/0.48	% (3322760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.48	% (3322760)Termination reason: Unknown
0.20/0.48	% (3322760)Termination phase: shuffling
0.20/0.48	
0.20/0.48	% (3322760)Memory used [KB]: 1151
0.20/0.48	% (3322760)Time elapsed: 0.004 s
0.20/0.48	% (3322760)Instructions burned: 3 (million)
0.20/0.48	% (3322760)------------------------------
0.20/0.48	% (3322760)------------------------------
0.20/0.48	% (3322757)Instruction limit reached!
0.20/0.48	% (3322757)------------------------------
0.20/0.48	% (3322757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.48	% (3322757)Termination reason: Unknown
0.20/0.48	% (3322757)Termination phase: shuffling
0.20/0.48	
0.20/0.48	% (3322757)Memory used [KB]: 1279
0.20/0.48	% (3322757)Time elapsed: 0.005 s
0.20/0.48	% (3322757)Instructions burned: 5 (million)
0.20/0.48	% (3322757)------------------------------
0.20/0.48	% (3322757)------------------------------
0.20/0.49	% (3322762)Instruction limit reached!
0.20/0.49	% (3322762)------------------------------
0.20/0.49	% (3322762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.49	% (3322762)Termination reason: Unknown
0.20/0.49	% (3322762)Termination phase: Property scanning
0.20/0.49	
0.20/0.49	% (3322762)Memory used [KB]: 1279
0.20/0.49	% (3322762)Time elapsed: 0.012 s
0.20/0.49	% (3322762)Instructions burned: 18 (million)
0.20/0.49	% (3322762)------------------------------
0.20/0.49	% (3322762)------------------------------
0.20/0.49	% (3322758)Instruction limit reached!
0.20/0.49	% (3322758)------------------------------
0.20/0.49	% (3322758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.49	% (3322758)Termination reason: Unknown
0.20/0.49	% (3322758)Termination phase: Preprocessing 3
0.20/0.49	
0.20/0.49	% (3322758)Memory used [KB]: 1279
0.20/0.49	% (3322758)Time elapsed: 0.017 s
0.20/0.49	% (3322758)Instructions burned: 27 (million)
0.20/0.49	% (3322758)------------------------------
0.20/0.49	% (3322758)------------------------------
0.20/0.49	% (3322761)First to succeed.
0.20/0.49	% (3322761)Refutation found. Thanks to Tanya!
0.20/0.49	% SZS status Theorem for E---3.1_3322712
0.20/0.49	% SZS output start Proof for E---3.1_3322712
0.20/0.49	thf(type_def_5, type, d: $tType).
0.20/0.49	thf(type_def_7, type, u: $tType).
0.20/0.49	thf(type_def_8, type, du: $tType).
0.20/0.49	thf(type_def_9, type, mono_2Etyop_2Emin_2Eind: $tType).
0.20/0.49	thf(func_def_0, type, u: $tType).
0.20/0.49	thf(func_def_1, type, d: $tType).
0.20/0.49	thf(func_def_2, type, du: $tType).
0.20/0.49	thf(func_def_3, type, tyop_2Emin_2Ebool: d).
0.20/0.49	thf(func_def_4, type, tyop_2Emin_2Efun: d > d > d).
0.20/0.49	thf(func_def_5, type, s: d > u > du).
0.20/0.49	thf(func_def_6, type, app_2E2: du > du > u).
0.20/0.49	thf(func_def_7, type, combin_i_2E0: u).
0.20/0.49	thf(func_def_8, type, combin_k_2E0: u).
0.20/0.49	thf(func_def_9, type, combin_s_2E0: u).
0.20/0.49	thf(func_def_10, type, c_2Ebool_2E_21_2E0: u).
0.20/0.49	thf(func_def_11, type, c_2Ebool_2E_21_2E1: du > u).
0.20/0.49	thf(func_def_12, type, c_2Ebool_2E_2F_5C_2E0: u).
0.20/0.49	thf(func_def_13, type, c_2Ebool_2E_2F_5C_2E2: du > du > u).
0.20/0.49	thf(func_def_14, type, c_2Emin_2E_3D_2E0: u).
0.20/0.49	thf(func_def_15, type, c_2Emin_2E_3D_2E2: du > du > u).
0.20/0.49	thf(func_def_16, type, c_2Emin_2E_3D_3D_3E_2E0: u).
0.20/0.49	thf(func_def_17, type, c_2Emin_2E_3D_3D_3E_2E2: du > du > u).
0.20/0.49	thf(func_def_18, type, c_2Ebool_2E_3F_2E0: u).
0.20/0.49	thf(func_def_19, type, c_2Ebool_2E_3F_2E1: du > u).
0.20/0.49	thf(func_def_20, type, c_2Ebool_2EF_2E0: u).
0.20/0.49	thf(func_def_21, type, c_2Ebool_2ET_2E0: u).
0.20/0.49	thf(func_def_22, type, c_2Ebool_2E_5C_2F_2E0: u).
0.20/0.49	thf(func_def_23, type, c_2Ebool_2E_5C_2F_2E2: du > du > u).
0.20/0.49	thf(func_def_24, type, c_2Ebool_2E_7E_2E0: u).
0.20/0.49	thf(func_def_25, type, c_2Ebool_2E_7E_2E1: du > u).
0.20/0.49	thf(func_def_26, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ($o > $o) > $o > $o).
0.20/0.49	thf(func_def_27, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o > $o) > $o > $o > $o).
0.20/0.49	thf(func_def_28, type, mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o).
0.20/0.49	thf(func_def_29, type, mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o).
0.20/0.49	thf(func_def_32, type, mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o).
0.20/0.49	thf(func_def_33, type, mono_2Ec_2Ebool_2E_7E: $o > $o).
0.20/0.49	thf(func_def_34, type, i_mono_2Etyop_2Emin_2Ebool: $o > u).
0.20/0.50	thf(func_def_35, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o) > u).
0.20/0.50	thf(func_def_36, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ($o > $o > $o) > u).
0.20/0.50	thf(func_def_37, type, j_mono_2Etyop_2Emin_2Ebool: du > $o).
0.20/0.50	thf(func_def_38, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o).
0.20/0.50	thf(func_def_39, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o).
0.20/0.50	thf(func_def_42, type, mono_2Etyop_2Emin_2Eind: $tType).
0.20/0.50	thf(func_def_43, type, tyop_2Emin_2Eind: d).
0.20/0.50	thf(func_def_44, type, c_2Ebool_2E_3F_21_2E0: u).
0.20/0.50	thf(func_def_45, type, c_2Ebool_2E_3F_21_2E1: du > u).
0.20/0.50	thf(func_def_46, type, c_2Emin_2E_40_2E0: u).
0.20/0.50	thf(func_def_47, type, c_2Emin_2E_40_2E1: du > u).
0.20/0.50	thf(func_def_48, type, c_2Ebool_2EBOUNDED_2E0: u).
0.20/0.50	thf(func_def_49, type, c_2Ebool_2EBOUNDED_2E1: du > u).
0.20/0.50	thf(func_def_50, type, c_2Ebool_2ECOND_2E0: u).
0.20/0.50	thf(func_def_51, type, c_2Ebool_2ECOND_2E3: du > du > du > u).
0.20/0.50	thf(func_def_52, type, c_2Ebool_2EDATATYPE_2E0: u).
0.20/0.50	thf(func_def_53, type, c_2Ebool_2EDATATYPE_2E1: du > u).
0.20/0.50	thf(func_def_54, type, c_2Ebool_2EIN_2E0: u).
0.20/0.50	thf(func_def_55, type, c_2Ebool_2EIN_2E2: du > du > u).
0.20/0.50	thf(func_def_56, type, c_2Ebool_2ELET_2E0: u).
0.20/0.50	thf(func_def_57, type, c_2Ebool_2ELET_2E2: du > du > u).
0.20/0.50	thf(func_def_58, type, c_2Ebool_2EONE__ONE_2E0: u).
0.20/0.50	thf(func_def_59, type, c_2Ebool_2EONE__ONE_2E1: du > u).
0.20/0.50	thf(func_def_60, type, c_2Ebool_2EONTO_2E0: u).
0.20/0.50	thf(func_def_61, type, c_2Ebool_2EONTO_2E1: du > u).
0.20/0.50	thf(func_def_62, type, c_2Ebool_2ERES__EXISTS_2E0: u).
0.20/0.50	thf(func_def_63, type, c_2Ebool_2ERES__EXISTS_2E2: du > du > u).
0.20/0.50	thf(func_def_64, type, c_2Ebool_2ERES__EXISTS__UNIQUE_2E0: u).
0.20/0.50	thf(func_def_65, type, c_2Ebool_2ERES__EXISTS__UNIQUE_2E2: du > du > u).
0.20/0.50	thf(func_def_66, type, c_2Ebool_2ERES__FORALL_2E0: u).
0.20/0.50	thf(func_def_67, type, c_2Ebool_2ERES__FORALL_2E2: du > du > u).
0.20/0.50	thf(func_def_68, type, c_2Ebool_2ERES__SELECT_2E0: u).
0.20/0.50	thf(func_def_69, type, c_2Ebool_2ERES__SELECT_2E2: du > du > u).
0.20/0.50	thf(func_def_70, type, c_2Ebool_2ETYPE__DEFINITION_2E0: u).
0.20/0.50	thf(func_def_71, type, c_2Ebool_2ETYPE__DEFINITION_2E2: du > du > u).
0.20/0.50	thf(func_def_72, type, c_2Ebool_2Eliteral__case_2E0: u).
0.20/0.50	thf(func_def_73, type, c_2Ebool_2Eliteral__case_2E2: du > du > u).
0.20/0.50	thf(func_def_74, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_20mono_2Etyop_2Emin_2Ebool: ((mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind) > $o) > (mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind) > $o).
0.20/0.50	thf(func_def_75, type, mono_2Ec_2Ebool_2EBOUNDED: $o > $o).
0.20/0.50	thf(func_def_76, type, mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: (mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind) > $o).
0.20/0.50	thf(func_def_77, type, mono_2Ec_2Ebool_2EONTO_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: (mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind) > $o).
0.20/0.50	thf(func_def_78, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind) > $o) > u).
0.20/0.50	thf(func_def_79, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: (mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind) > u).
0.20/0.50	thf(func_def_80, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: du > (mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind) > $o).
0.20/0.50	thf(func_def_81, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: du > mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind).
0.20/0.50	thf(func_def_84, type, sP0: $o > $o > $o).
0.20/0.50	thf(func_def_85, type, sK1: $o > $o > $o).
0.20/0.50	thf(func_def_86, type, sK2: $o > $o > $o).
0.20/0.50	thf(func_def_89, type, ph5: !>[X0: $tType]:(X0)).
0.20/0.50	thf(f231,plain,(
0.20/0.50	  $false),
0.20/0.50	  inference(subsumption_resolution,[status(thm)],[f209,f230])).
0.20/0.50	thf(f230,plain,(
0.20/0.50	  (mono_2Ec_2Ebool_2ET = $true)),
0.20/0.50	  inference(trivial_inequality_removal,[status(thm)],[f210])).
0.20/0.50	thf(f210,plain,(
0.20/0.50	  (mono_2Ec_2Ebool_2ET = $true) | (sK3 != sK3)),
0.20/0.50	  inference(cnf_transformation,[status(thm)],[f191])).
0.20/0.50	thf(f191,plain,(
0.20/0.50	  (! [X0 : $o] : (X0 = X0) | (mono_2Ec_2Ebool_2ET != $true)) & ((mono_2Ec_2Ebool_2ET = $true) | (sK3 != sK3))),
0.20/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f189,f190])).
0.20/0.50	thf(f190,plain,(
0.20/0.50	  ? [X1 : $o] : (X1 != X1) => (sK3 != sK3)),
0.20/0.50	  introduced(definition,[],[choice_axiom])).
0.20/0.50	thf(f189,plain,(
0.20/0.50	  (! [X0 : $o] : (X0 = X0) | (mono_2Ec_2Ebool_2ET != $true)) & ((mono_2Ec_2Ebool_2ET = $true) | ? [X1 : $o] : (X1 != X1))),
0.20/0.50	  inference(rectify,[status(thm)],[f188])).
0.20/0.50	thf(f188,plain,(
0.20/0.50	  (! [X0 : $o] : (X0 = X0) | (mono_2Ec_2Ebool_2ET != $true)) & ((mono_2Ec_2Ebool_2ET = $true) | ? [X0 : $o] : (X0 != X0))),
0.20/0.50	  inference(nnf_transformation,[status(thm)],[f134])).
0.20/0.50	thf(f134,plain,(
0.20/0.50	  ! [X0 : $o] : (X0 = X0) <=> (mono_2Ec_2Ebool_2ET = $true)),
0.20/0.50	  inference(fool_elimination,[status(thm)],[f133])).
0.20/0.50	thf(f133,plain,(
0.20/0.50	  ! [X0 : $o] : (X0 = X0) <=> mono_2Ec_2Ebool_2ET),
0.20/0.50	  inference(rectify,[status(thm)],[f36])).
0.20/0.50	thf(f36,axiom,(
0.20/0.50	  ! [X22 : $o] : (X22 = X22) <=> mono_2Ec_2Ebool_2ET),
0.20/0.50	  file('/export/starexec/sandbox2/tmp/tmp.GfTuYawL9a/E---3.1_3322712.p',thm_2Ebool_2ET__DEF)).
0.20/0.50	thf(f209,plain,(
0.20/0.50	  (mono_2Ec_2Ebool_2ET != $true)),
0.20/0.50	  inference(cnf_transformation,[status(thm)],[f169])).
0.20/0.50	thf(f169,plain,(
0.20/0.50	  (mono_2Ec_2Ebool_2ET != $true)),
0.20/0.50	  inference(flattening,[status(thm)],[f126])).
0.20/0.50	thf(f126,plain,(
0.20/0.50	  ~(mono_2Ec_2Ebool_2ET = $true)),
0.20/0.50	  inference(fool_elimination,[status(thm)],[f125])).
0.20/0.50	thf(f125,plain,(
0.20/0.50	  ~mono_2Ec_2Ebool_2ET),
0.20/0.50	  inference(rectify,[status(thm)],[f94])).
0.20/0.50	thf(f94,negated_conjecture,(
0.20/0.50	  ~mono_2Ec_2Ebool_2ET),
0.20/0.50	  inference(negated_conjecture,[status(cth)],[f93])).
0.20/0.50	thf(f93,conjecture,(
0.20/0.50	  mono_2Ec_2Ebool_2ET),
0.20/0.50	  file('/export/starexec/sandbox2/tmp/tmp.GfTuYawL9a/E---3.1_3322712.p',thm_2Ebool_2ETRUTH)).
0.20/0.50	% SZS output end Proof for E---3.1_3322712
0.20/0.50	% (3322761)------------------------------
0.20/0.50	% (3322761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.50	% (3322761)Termination reason: Refutation
0.20/0.50	
0.20/0.50	% (3322761)Memory used [KB]: 5756
0.20/0.50	% (3322761)Time elapsed: 0.018 s
0.20/0.50	% (3322761)Instructions burned: 27 (million)
0.20/0.50	% (3322761)------------------------------
0.20/0.50	% (3322761)------------------------------
0.20/0.50	% (3322755)Success in time 0.05 s
0.20/0.50	EOF