%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM221_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 : Tue Sep 29 09:40:31 AM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 10 unt; 0 typ; 2 def)
% Number of atoms : 91 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 98 ( 42 ~; 40 |; 10 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 30 ( 28 usr; 3 prp; 0-5 aty)
% Number of functors : 116 ( 116 usr; 10 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn 31 !; 4 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
vTerm: $tType ).
tff(type_def_6,type,
vOptTerm: $tType ).
tff(type_def_7,type,
vTy: $tType ).
tff(func_def_0,type,
vNat: vTy ).
tff(func_def_1,type,
vSucc: vTerm > vTerm ).
tff(func_def_2,type,
vPred: vTerm > vTerm ).
tff(func_def_3,type,
vsomeTerm: vTerm > vOptTerm ).
tff(func_def_4,type,
vZero: vTerm ).
tff(func_def_5,type,
vIszero: vTerm > vTerm ).
tff(func_def_6,type,
vTrue: vTerm ).
tff(func_def_7,type,
vFalse: vTerm ).
tff(func_def_8,type,
vnoTerm: vOptTerm ).
tff(func_def_9,type,
vPlus: ( vTerm * vTerm ) > vTerm ).
tff(func_def_10,type,
vt2: vTerm ).
tff(func_def_11,type,
vB: vTy ).
tff(func_def_12,type,
vIfelse: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_13,type,
vt1: vTerm ).
tff(func_def_14,type,
vreduce: vTerm > vOptTerm ).
tff(func_def_15,type,
vplusop: ( vTerm * vTerm ) > vTerm ).
tff(func_def_16,type,
vgetTerm: vOptTerm > vTerm ).
tff(func_def_17,type,
sK0: vTerm > vTerm ).
tff(func_def_18,type,
sK1: vTerm > vTerm ).
tff(func_def_19,type,
sK2: vTerm > vTerm ).
tff(func_def_20,type,
sK3: vTerm > vTerm ).
tff(func_def_21,type,
sK4: vTerm > vTerm ).
tff(func_def_22,type,
sK5: vTerm > vTerm ).
tff(func_def_23,type,
sK6: vTerm > vTerm ).
tff(func_def_24,type,
sK7: vTerm > vTerm ).
tff(func_def_25,type,
sK8: vOptTerm > vTerm ).
tff(func_def_26,type,
sK9: vTerm > vTerm ).
tff(func_def_27,type,
sK10: vTerm > vTerm ).
tff(func_def_28,type,
sK11: vTerm > vTerm ).
tff(func_def_29,type,
sK12: vTerm > vTerm ).
tff(func_def_30,type,
sK13: vTerm > vTerm ).
tff(func_def_31,type,
sK14: vTerm > vTerm ).
tff(func_def_32,type,
sK15: vOptTerm > vTerm ).
tff(func_def_33,type,
sK16: vTerm > vTerm ).
tff(func_def_34,type,
sK17: ( vTerm * vTerm ) > vTerm ).
tff(func_def_35,type,
sK18: ( vTerm * vTerm ) > vTerm ).
tff(func_def_36,type,
sK19: ( vTerm * vTerm ) > vTerm ).
tff(func_def_37,type,
sK20: ( vTerm * vTerm ) > vTerm ).
tff(func_def_38,type,
sK21: ( vTerm * vTerm ) > vTerm ).
tff(func_def_39,type,
sK23: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_40,type,
sK24: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_41,type,
sK25: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_42,type,
sK26: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_43,type,
sK27: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_44,type,
sK28: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_45,type,
sK29: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_46,type,
sK30: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_47,type,
sK31: vTerm > vTerm ).
tff(func_def_48,type,
sK32: vTerm > vTerm ).
tff(func_def_49,type,
sK33: vTerm > vTerm ).
tff(func_def_50,type,
sK34: vTerm > vTerm ).
tff(func_def_51,type,
sK35: vTerm > vTerm ).
tff(func_def_52,type,
sK36: vTerm > vTerm ).
tff(func_def_53,type,
sK37: vTerm > vTerm ).
tff(func_def_54,type,
sK38: vTerm > vTerm ).
tff(func_def_55,type,
sK39: vTerm > vTerm ).
tff(func_def_56,type,
sK40: vTerm > vTerm ).
tff(func_def_57,type,
sK41: vTerm > vTerm ).
tff(func_def_58,type,
sK42: vTerm > vTerm ).
tff(func_def_59,type,
sK43: vTerm > vTerm ).
tff(func_def_60,type,
sK44: vTerm > vTerm ).
tff(func_def_61,type,
sK45: vTerm > vTerm ).
tff(func_def_62,type,
sK46: vTerm > vTerm ).
tff(func_def_63,type,
sK47: vTerm > vTerm ).
tff(func_def_64,type,
sK48: vTerm > vTerm ).
tff(func_def_65,type,
sK49: vTerm > vTerm ).
tff(func_def_66,type,
sK50: vTerm > vTerm ).
tff(func_def_67,type,
sK51: vTerm > vTerm ).
tff(func_def_68,type,
sK52: vTerm > vOptTerm ).
tff(func_def_69,type,
sK53: vTerm > vTerm ).
tff(func_def_70,type,
sK54: vTerm > vTerm ).
tff(func_def_71,type,
sK55: vTerm > vOptTerm ).
tff(func_def_72,type,
sK56: vTerm > vTerm ).
tff(func_def_73,type,
sK57: vTerm > vTerm ).
tff(func_def_74,type,
sK58: vTerm > vOptTerm ).
tff(func_def_75,type,
sK59: vTerm > vTerm ).
tff(func_def_76,type,
sK60: vTerm > vTerm ).
tff(func_def_77,type,
sK61: vTerm > vOptTerm ).
tff(func_def_78,type,
sK62: vTerm > vTerm ).
tff(func_def_79,type,
sK63: vTerm > vTerm ).
tff(func_def_80,type,
sK64: vTerm > vTerm ).
tff(func_def_81,type,
sK65: vTerm > vOptTerm ).
tff(func_def_82,type,
sK66: vTerm > vTerm ).
tff(func_def_83,type,
sK67: vTerm > vOptTerm ).
tff(func_def_84,type,
sK68: vTerm > vTerm ).
tff(func_def_85,type,
sK69: vTerm > vOptTerm ).
tff(func_def_86,type,
sK70: vTerm > vTerm ).
tff(func_def_87,type,
sK71: vTerm > vOptTerm ).
tff(func_def_88,type,
sK72: vTerm > vTerm ).
tff(func_def_89,type,
sK73: vTerm > vTerm ).
tff(func_def_90,type,
sK74: vTerm > vOptTerm ).
tff(func_def_91,type,
sK75: vTerm > vTerm ).
tff(func_def_92,type,
sK76: vTerm > vOptTerm ).
tff(func_def_93,type,
sK77: vTerm > vTerm ).
tff(func_def_94,type,
sK78: vTerm > vOptTerm ).
tff(func_def_95,type,
sK79: vTerm > vTerm ).
tff(func_def_96,type,
sK80: vTerm > vOptTerm ).
tff(func_def_97,type,
sK81: vTerm > vTerm ).
tff(func_def_98,type,
sK82: vTerm > vTerm ).
tff(func_def_99,type,
sK83: vTerm > vOptTerm ).
tff(func_def_100,type,
sK84: vTerm > vTerm ).
tff(func_def_101,type,
sK85: vTerm > vOptTerm ).
tff(func_def_102,type,
sK86: vTerm > vTerm ).
tff(func_def_103,type,
sK87: vTerm > vTerm ).
tff(func_def_104,type,
sK88: vTerm > vTerm ).
tff(func_def_105,type,
sK89: vTerm > vOptTerm ).
tff(func_def_106,type,
sK90: vTerm > vTerm ).
tff(func_def_107,type,
sK91: vTerm > vTerm ).
tff(func_def_108,type,
sK92: vTerm > vTerm ).
tff(func_def_109,type,
sK93: vTerm > vOptTerm ).
tff(func_def_110,type,
sK94: vTerm > vTerm ).
tff(func_def_111,type,
sK95: vTerm > vTerm ).
tff(func_def_112,type,
sK96: vTerm > vTerm ).
tff(func_def_113,type,
sK97: vTerm > vTerm ).
tff(func_def_114,type,
sK119: vTy ).
tff(func_def_115,type,
sK120: vTerm ).
tff(pred_def_1,type,
visValue: vTerm > $o ).
tff(pred_def_2,type,
visNV: vTerm > $o ).
tff(pred_def_3,type,
visSomeTerm: vOptTerm > $o ).
tff(pred_def_4,type,
vptchecksimple: ( vTerm * vTy ) > $o ).
tff(pred_def_5,type,
sP22: ( vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_6,type,
sP98: ( vOptTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_7,type,
sP99: ( vOptTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_8,type,
sP100: ( vOptTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_9,type,
sP101: ( vOptTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_10,type,
sP102: ( vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_11,type,
sP103: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_12,type,
sP104: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_13,type,
sP105: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_14,type,
sP106: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_15,type,
sP107: ( vTerm * vTerm ) > $o ).
tff(pred_def_16,type,
sP108: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_17,type,
sP109: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_18,type,
sP110: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_19,type,
sP111: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_20,type,
sP112: ( vTerm * vTerm ) > $o ).
tff(pred_def_21,type,
sP113: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_22,type,
sP114: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_23,type,
sP115: ( vOptTerm * vTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_24,type,
sP116: ( vOptTerm * vTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_25,type,
sP117: ( vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_26,type,
sP118: ( vTerm * vTerm * vTerm ) > $o ).
tff(f107,axiom,
! [X0: vTy,X1: vTerm] :
( ( visNV(vt1)
& vptchecksimple(vPlus(vt1,vt2),X0)
& ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Preservation-Plus-isNV-True') ).
tff(f108,axiom,
! [X0: vTy,X1: vTerm] :
( ( ~ visNV(vt1)
& vptchecksimple(vPlus(vt1,vt2),X0)
& ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Preservation-Plus-isNV-False') ).
tff(f109,conjecture,
! [X0: vTy,X1: vTerm] :
( ( vptchecksimple(vPlus(vt1,vt2),X0)
& ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Preservation-Plus') ).
tff(f110,negated_conjecture,
~ ! [X0: vTy,X1: vTerm] :
( ( vptchecksimple(vPlus(vt1,vt2),X0)
& ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f109]) ).
tff(f194,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ~ visNV(vt1)
| ~ vptchecksimple(vPlus(vt1,vt2),X0)
| ( vsomeTerm(X1) != vreduce(vPlus(vt1,vt2)) ) ),
inference(ennf_transformation,[],[f107]) ).
tff(f195,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ~ visNV(vt1)
| ~ vptchecksimple(vPlus(vt1,vt2),X0)
| ( vsomeTerm(X1) != vreduce(vPlus(vt1,vt2)) ) ),
inference(flattening,[],[f194]) ).
tff(f196,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| visNV(vt1)
| ~ vptchecksimple(vPlus(vt1,vt2),X0)
| ( vsomeTerm(X1) != vreduce(vPlus(vt1,vt2)) ) ),
inference(ennf_transformation,[],[f108]) ).
tff(f197,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| visNV(vt1)
| ~ vptchecksimple(vPlus(vt1,vt2),X0)
| ( vsomeTerm(X1) != vreduce(vPlus(vt1,vt2)) ) ),
inference(flattening,[],[f196]) ).
tff(f198,plain,
? [X0: vTy,X1: vTerm] :
( ~ vptchecksimple(X1,X0)
& vptchecksimple(vPlus(vt1,vt2),X0)
& ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) ) ),
inference(ennf_transformation,[],[f110]) ).
tff(f199,plain,
? [X0: vTy,X1: vTerm] :
( ~ vptchecksimple(X1,X0)
& vptchecksimple(vPlus(vt1,vt2),X0)
& ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) ) ),
inference(flattening,[],[f198]) ).
tff(f507,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vPlus(vt1,vt2)) )
| ~ vptchecksimple(vPlus(vt1,vt2),X0)
| ~ visNV(vt1)
| vptchecksimple(X1,X0) ),
inference(cnf_transformation,[],[f195]) ).
tff(f508,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vPlus(vt1,vt2)) )
| ~ vptchecksimple(vPlus(vt1,vt2),X0)
| visNV(vt1)
| vptchecksimple(X1,X0) ),
inference(cnf_transformation,[],[f197]) ).
tff(f509,plain,
vreduce(vPlus(vt1,vt2)) = vsomeTerm(sK120),
inference(cnf_transformation,[],[f199]) ).
tff(f510,plain,
vptchecksimple(vPlus(vt1,vt2),sK119),
inference(cnf_transformation,[],[f199]) ).
tff(f511,plain,
~ vptchecksimple(sK120,sK119),
inference(cnf_transformation,[],[f199]) ).
tff(f760,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vPlus(vt1,vt2)) )
| vptchecksimple(vPlus(vt1,vt2),X0)
| visNV(vt1)
| ~ vptchecksimple(X1,X0) ),
inference(consistent_polarity_flipping,[],[f507]) ).
tff(f761,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vPlus(vt1,vt2)) )
| vptchecksimple(vPlus(vt1,vt2),X0)
| ~ visNV(vt1)
| ~ vptchecksimple(X1,X0) ),
inference(consistent_polarity_flipping,[],[f508]) ).
tff(f762,plain,
vptchecksimple(sK120,sK119),
inference(consistent_polarity_flipping,[],[f511]) ).
tff(f763,plain,
~ vptchecksimple(vPlus(vt1,vt2),sK119),
inference(consistent_polarity_flipping,[],[f510]) ).
tff(f765,definition,
( spl121_1
<=> visNV(vt1) ),
introduced(definition,[new_symbols(definition,[spl121_1])],[avatar_definition]) ).
tff(f769,definition,
( spl121_2
<=> ! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vPlus(vt1,vt2)) )
| ~ vptchecksimple(X1,X0)
| vptchecksimple(vPlus(vt1,vt2),X0) ) ),
introduced(definition,[new_symbols(definition,[spl121_2])],[avatar_definition]) ).
tff(f770,plain,
( ! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vPlus(vt1,vt2)) )
| ~ vptchecksimple(X1,X0)
| vptchecksimple(vPlus(vt1,vt2),X0) )
| ~ spl121_2 ),
inference(avatar_component_clause,[],[f769]) ).
tff(f771,plain,
( ~ spl121_1
| spl121_2 ),
inference(avatar_split_clause,[],[f761,f769,f765]) ).
tff(f772,plain,
( spl121_1
| spl121_2 ),
inference(avatar_split_clause,[],[f760,f769,f765]) ).
tff(f1296,plain,
( ! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vsomeTerm(sK120) )
| ~ vptchecksimple(X1,X0)
| vptchecksimple(vPlus(vt1,vt2),X0) )
| ~ spl121_2 ),
inference(forward_demodulation,[],[f770,f509]) ).
tff(f1301,plain,
( ! [X0: vTy] :
( ~ vptchecksimple(sK120,X0)
| vptchecksimple(vPlus(vt1,vt2),X0) )
| ~ spl121_2 ),
inference(equality_resolution,[],[f1296]) ).
tff(f1306,plain,
( vptchecksimple(vPlus(vt1,vt2),sK119)
| ~ spl121_2 ),
inference(resolution,[],[f1301,f762]) ).
tff(f1312,plain,
( $false
| ~ spl121_2 ),
inference(forward_subsumption_resolution,[],[f1306,f763]) ).
tff(f1313,plain,
~ spl121_2,
inference(avatar_contradiction_clause,[],[f1312]) ).
cnf(s1,plain,
( ~ spl121_1
| spl121_2 ),
inference(sat_conversion,[],[f771]) ).
cnf(s2,plain,
( spl121_1
| spl121_2 ),
inference(sat_conversion,[],[f772]) ).
cnf(s20,plain,
~ spl121_2,
inference(sat_conversion,[],[f1313]) ).
cnf(s22,plain,
spl121_1,
inference(rat,[],[s2,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s20,s22]) ).
tff(f1314,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM221_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n005.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:02:01 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.07/0.26 % (1232753)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (1232762)% WARNING: option uhcvi not known.
% 0.07/0.26 % (1232762)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3333735359:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26 % (1232761)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=535617461_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26 % (1232763)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2939787918:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.26 % (1232764)dis+10_1_sil=32000:sp=arity:random_seed=1672136611:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (1232768)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=495444859:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26 % (1232767)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2036713874:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.26 % (1232765)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3737161748:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26 % (1232762) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1232753-1232762"...
% 0.07/0.26 % (1232762)...printing done.
% 0.07/0.26 % (1232762)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Theorem for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (1232762)------------------------------
% 0.07/0.26 % (1232762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (1232762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (1232762)CaDiCaL version: 2.1.3
% 0.07/0.26 % (1232762)Termination reason: Refutation
% 0.07/0.26 % (1232762)Time elapsed: 0.021 s
% 0.07/0.26 % (1232762)Peak memory usage: 13 MB
% 0.07/0.26 % (1232762)Instructions burned: 64 (million)
% 0.07/0.26 % (1232753)Success in time 0.049 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------