%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP001^4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 : Wed Sep 30 08:09:58 AM UTC 2026
% Result : Theorem 0.19s 0.34s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 92 ( 34 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 31 ( 12 ~; 13 |; 3 &; 0 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 123 ( 120 usr; 35 con; 0-4 aty)
% Number of variables : 8 ( 0 ^; 6 !; 2 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
u: $tType ).
thf(type_def_6,type,
d: $tType ).
thf(type_def_7,type,
du: $tType ).
thf(type_def_8,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_9,type,
mono_2Etyop_2Emin_2Eind: $tType ).
thf(func_def_0,type,
tyop_2Emin_2Ebool: d ).
thf(func_def_1,type,
tyop_2Emin_2Efun: d > d > d ).
thf(func_def_2,type,
s: d > u > du ).
thf(func_def_3,type,
app_2E2: du > du > u ).
thf(func_def_4,type,
combin_i_2E0: u ).
thf(func_def_5,type,
combin_k_2E0: u ).
thf(func_def_6,type,
combin_s_2E0: u ).
thf(func_def_7,type,
c_2Ebool_2E_21_2E0: u ).
thf(func_def_8,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(func_def_9,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_10,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_11,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_12,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_13,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_14,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_15,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_16,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_17,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_18,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_19,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_20,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_21,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_22,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_23,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_24,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
thf(func_def_25,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_26,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_27,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(func_def_28,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(func_def_29,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_30,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_31,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_32,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_33,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
thf(func_def_34,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_35,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(func_def_36,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
thf(func_def_38,type,
vNOT: $o > $o ).
thf(func_def_39,type,
tyop_2Emin_2Eind: d ).
thf(func_def_40,type,
c_2Ebool_2E_3F_21_2E0: u ).
thf(func_def_41,type,
c_2Ebool_2E_3F_21_2E1: du > u ).
thf(func_def_42,type,
c_2Emin_2E_40_2E0: u ).
thf(func_def_43,type,
c_2Emin_2E_40_2E1: du > u ).
thf(func_def_44,type,
c_2Ebool_2EBOUNDED_2E0: u ).
thf(func_def_45,type,
c_2Ebool_2EBOUNDED_2E1: du > u ).
thf(func_def_46,type,
c_2Ebool_2ECOND_2E0: u ).
thf(func_def_47,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(func_def_48,type,
c_2Ebool_2EDATATYPE_2E0: u ).
thf(func_def_49,type,
c_2Ebool_2EDATATYPE_2E1: du > u ).
thf(func_def_50,type,
c_2Ebool_2EIN_2E0: u ).
thf(func_def_51,type,
c_2Ebool_2EIN_2E2: du > du > u ).
thf(func_def_52,type,
c_2Ebool_2ELET_2E0: u ).
thf(func_def_53,type,
c_2Ebool_2ELET_2E2: du > du > u ).
thf(func_def_54,type,
c_2Ebool_2EONE__ONE_2E0: u ).
thf(func_def_55,type,
c_2Ebool_2EONE__ONE_2E1: du > u ).
thf(func_def_56,type,
c_2Ebool_2EONTO_2E0: u ).
thf(func_def_57,type,
c_2Ebool_2EONTO_2E1: du > u ).
thf(func_def_58,type,
c_2Ebool_2ERES__EXISTS_2E0: u ).
thf(func_def_59,type,
c_2Ebool_2ERES__EXISTS_2E2: du > du > u ).
thf(func_def_60,type,
c_2Ebool_2ERES__EXISTS__UNIQUE_2E0: u ).
thf(func_def_61,type,
c_2Ebool_2ERES__EXISTS__UNIQUE_2E2: du > du > u ).
thf(func_def_62,type,
c_2Ebool_2ERES__FORALL_2E0: u ).
thf(func_def_63,type,
c_2Ebool_2ERES__FORALL_2E2: du > du > u ).
thf(func_def_64,type,
c_2Ebool_2ERES__SELECT_2E0: u ).
thf(func_def_65,type,
c_2Ebool_2ERES__SELECT_2E2: du > du > u ).
thf(func_def_66,type,
c_2Ebool_2ETYPE__DEFINITION_2E0: u ).
thf(func_def_67,type,
c_2Ebool_2ETYPE__DEFINITION_2E2: du > du > u ).
thf(func_def_68,type,
c_2Ebool_2Eliteral__case_2E0: u ).
thf(func_def_69,type,
c_2Ebool_2Eliteral__case_2E2: du > du > u ).
thf(func_def_70,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 ).
thf(func_def_71,type,
mono_2Ec_2Ebool_2EBOUNDED: $o > $o ).
thf(func_def_72,type,
mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: ( mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ) > $o ).
thf(func_def_73,type,
mono_2Ec_2Ebool_2EONTO_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: ( mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ) > $o ).
thf(func_def_74,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 ).
thf(func_def_75,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: ( mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ) > u ).
thf(func_def_76,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 ).
thf(func_def_77,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: du > mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ).
thf(func_def_80,type,
sP0: $o > $o > $o ).
thf(func_def_81,type,
sP1: u > d > $o ).
thf(func_def_82,type,
sK2: u > u > d > d > u ).
thf(func_def_83,type,
sK3: u > d > u ).
thf(func_def_84,type,
sK4: u > d > u ).
thf(func_def_85,type,
sK5: u > u > d > d > u ).
thf(func_def_86,type,
sK6: u > d > u ).
thf(func_def_87,type,
sK7: u > d > u ).
thf(func_def_88,type,
sK8: mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ).
thf(func_def_89,type,
sK9: $o ).
thf(func_def_90,type,
sK10: u > d > u ).
thf(func_def_91,type,
sK11: $o > $o > $o ).
thf(func_def_92,type,
sK12: $o > $o > $o ).
thf(func_def_93,type,
sK13: $o ).
thf(func_def_94,type,
sK14: u > d > u ).
thf(func_def_95,type,
sK15: u > d > u ).
thf(func_def_96,type,
sK16: u > d > $o ).
thf(func_def_97,type,
sK17: u > d > u ).
thf(func_def_98,type,
sK18: u > d > u ).
thf(func_def_99,type,
sK19: u > d > u ).
thf(func_def_100,type,
sK20: u > d > d > u ).
thf(func_def_101,type,
sK21: u > d > d > u ).
thf(func_def_102,type,
sK22: u > d > d > u ).
thf(func_def_103,type,
sK23: u > u > d > d > u ).
thf(func_def_104,type,
sK24: u > u > d > d > u ).
thf(func_def_105,type,
sK25: u > u > d > d > u ).
thf(func_def_106,type,
sK26: u > d > d > u ).
thf(func_def_107,type,
sK27: u > d > d > u ).
thf(func_def_108,type,
sK28: u > u > d > d > u ).
thf(func_def_109,type,
sK29: u > u > d > u ).
thf(func_def_110,type,
sK30: u > u > d > u ).
thf(func_def_111,type,
sK31: u > d > u ).
thf(func_def_112,type,
sK32: u > d > u ).
thf(func_def_113,type,
sK33: u > d > u ).
thf(func_def_114,type,
sK34: u > d > u ).
thf(func_def_115,type,
sK35: u > d > u ).
thf(func_def_116,type,
sK36: u > u > d > u ).
thf(func_def_117,type,
sK37: u > u > d > u ).
thf(func_def_118,type,
sK38: u > u > d > u ).
thf(func_def_119,type,
sK39: u > d > u ).
thf(func_def_120,type,
sK40: u > d > u ).
thf(func_def_121,type,
sK41: u > d > u ).
thf(f77,axiom,
( mono_2Ec_2Ebool_2ET
<=> ! [X0: $o] : ( X0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).
thf(f98,conjecture,
mono_2Ec_2Ebool_2ET,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(f99,negated_conjecture,
~ mono_2Ec_2Ebool_2ET,
inference(negated_conjecture,[status(cth)],[f98]) ).
thf(f136,plain,
( mono_2Ec_2Ebool_2ET
<=> ! [X0: $o] : ( X0 = X0 ) ),
inference(rectify,[],[f77]) ).
thf(f137,plain,
( ( mono_2Ec_2Ebool_2ET = $true )
<=> ! [X0: $o] : ( X0 = X0 ) ),
inference(fool_elimination,[],[f136]) ).
thf(f166,plain,
~ mono_2Ec_2Ebool_2ET,
inference(rectify,[],[f99]) ).
thf(f167,plain,
mono_2Ec_2Ebool_2ET != $true,
inference(fool_elimination,[],[f166]) ).
thf(f168,plain,
mono_2Ec_2Ebool_2ET != $true,
inference(flattening,[],[f167]) ).
thf(f223,plain,
( ( ( mono_2Ec_2Ebool_2ET = $true )
| ? [X0: $o] : ( X0 != X0 ) )
& ( ! [X0: $o] : ( X0 = X0 )
| ( mono_2Ec_2Ebool_2ET != $true ) ) ),
inference(nnf_transformation,[],[f137]) ).
thf(f224,plain,
( ( ( mono_2Ec_2Ebool_2ET = $true )
| ? [X0: $o] : ( X0 != X0 ) )
& ( ! [X1: $o] : ( X1 = X1 )
| ( mono_2Ec_2Ebool_2ET != $true ) ) ),
inference(rectify,[],[f223]) ).
thf(f225,plain,
( ( ( mono_2Ec_2Ebool_2ET = $true )
| ( sK9 != sK9 ) )
& ( ! [X1: $o] : ( X1 = X1 )
| ( mono_2Ec_2Ebool_2ET != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f224]) ).
thf(f377,plain,
( ( mono_2Ec_2Ebool_2ET = $true )
| ( sK9 != sK9 ) ),
inference(cnf_transformation,[],[f225]) ).
thf(f447,plain,
mono_2Ec_2Ebool_2ET != $true,
inference(cnf_transformation,[],[f168]) ).
thf(f502,plain,
( ( mono_2Ec_2Ebool_2ET = $true )
| ( $true = sK9 )
| ( $true = sK9 ) ),
inference(xor_proxy_clausification,[],[f377]) ).
thf(f503,plain,
( ( mono_2Ec_2Ebool_2ET = $true )
| ( sK9 = $false )
| ( sK9 = $false ) ),
inference(xor_proxy_clausification,[],[f377]) ).
thf(f504,plain,
( ( mono_2Ec_2Ebool_2ET = $true )
| ( sK9 = $false ) ),
inference(duplicate_literal_removal,[],[f503]) ).
thf(f505,plain,
( ( mono_2Ec_2Ebool_2ET = $true )
| ( $true = sK9 ) ),
inference(duplicate_literal_removal,[],[f502]) ).
thf(f640,plain,
sK9 = $false,
inference(forward_subsumption_resolution,[],[f504,f447]) ).
thf(f641,plain,
$true = sK9,
inference(forward_subsumption_resolution,[],[f505,f447]) ).
thf(f650,plain,
$true = $false,
inference(forward_demodulation,[],[f641,f640]) ).
thf(f651,plain,
$false,
inference(trivial_inequality_removal,[],[f650]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP001^4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n020.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 19:19:10 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.34 % (1468694)Will run a generic schedule for satisfiability detection.
% 0.19/0.34 % (1468703)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3969002881:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.34 % (1468700)% WARNING: option uhcvi not known.
% 0.19/0.34 % (1468703)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.34 % (1468699)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3966857287_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.34 % (1468700)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2712525617:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.34 % (1468701)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1293993014:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.34 % (1468702)dis+10_1_sil=32000:sp=arity:random_seed=1342058742:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.34 % (1468704)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=420576401:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.34 % (1468705)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4081417610:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.34 % (1468700)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.34 % (1468703)Instruction limit reached!
% 0.19/0.34 % (1468703)------------------------------
% 0.19/0.34 % (1468703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (1468703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (1468703)CaDiCaL version: 2.1.3
% 0.19/0.34 % (1468703)Termination reason: Instruction limit
% 0.19/0.34 % (1468703)Termination phase: Saturation
% 0.19/0.34 % (1468703)Time elapsed: 0.026 s
% 0.19/0.34 % (1468703)Peak memory usage: 12 MB
% 0.19/0.34 % (1468703)Instructions burned: 119 (million)
% 0.19/0.34 % Exception at run slice level
% 0.19/0.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.34 % (1468713)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1242189809:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.34 % (1468700)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.34 % Exception at run slice level
% 0.19/0.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.34 % (1468702)Instruction limit reached!
% 0.19/0.34 % (1468702)------------------------------
% 0.19/0.34 % (1468702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (1468702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (1468702)CaDiCaL version: 2.1.3
% 0.19/0.34 % (1468702)Termination reason: Instruction limit
% 0.19/0.34 % (1468702)Termination phase: Saturation
% 0.19/0.34 % (1468702)Time elapsed: 0.040 s
% 0.19/0.34 % (1468702)Peak memory usage: 11 MB
% 0.19/0.34 % (1468702)Instructions burned: 103 (million)
% 0.19/0.34 % (1468714)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2730293149:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.34 % (1468704) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1468694-1468704"...
% 0.19/0.34 % (1468700) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1468694-1468700"...
% 0.19/0.34 % (1468701) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1468694-1468701"...
% 0.19/0.34 % (1468704)...printing done.
% 0.19/0.34 % (1468700)...printing done.
% 0.19/0.34 % (1468701)...printing done.
% 0.19/0.34 % (1468704)Refutation found. Thanks to Tanya!
% 0.19/0.34 % SZS status Theorem for theBenchmark
% 0.19/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.34 % (1468704)------------------------------
% 0.19/0.34 % (1468704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (1468704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (1468704)CaDiCaL version: 2.1.3
% 0.19/0.34 % (1468704)Termination reason: Refutation
% 0.19/0.34 % (1468704)Time elapsed: 0.043 s
% 0.19/0.34 % (1468704)Peak memory usage: 12 MB
% 0.19/0.34 % (1468704)Instructions burned: 102 (million)
% 0.19/0.34 % (1468694)Success in time 0.094 s
% 0.19/0.34 % Vampire exiting
%------------------------------------------------------------------------------