%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL079-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:37:52 AM UTC 2026
% Result : Unsatisfiable 8.43s 1.97s
% Output : Refutation 8.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 23 unt; 3 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : apply(k(X0),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).
fof(f6,axiom,
! [X2,X0,X1] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,k(X2)),apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction) ).
fof(f11,axiom,
! [X0,X1] :
( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
fof(f13,negated_conjecture,
apply(abstraction,apply(abstraction,apply(abstraction,b))) != apply(abstraction,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_TRC2a) ).
fof(f14,plain,
apply(abstraction,b) != apply(abstraction,apply(abstraction,apply(abstraction,b))),
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF0 = apply(abstraction,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f16,plain,
apply(abstraction,b) = sF0,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF1 = apply(abstraction,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f18,plain,
apply(abstraction,sF0) = sF1,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF2 = apply(abstraction,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f20,plain,
apply(abstraction,sF1) = sF2,
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
sF0 != sF2,
inference(definition_folding,[],[f14,f20,f18,f16,f16]) ).
fof(f29,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,X1),k(X0)),X2) = apply(apply(X1,k(X2)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f36,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,apply(abstraction,X0)),X1),X2) = apply(apply(X0,k(apply(X1,X2))),X2),
inference(superposition,[],[f6,f29]) ).
fof(f41,plain,
! [X0,X1] : apply(apply(b,k(apply(X0,X1))),X1) = apply(apply(apply(abstraction,sF0),X0),X1),
inference(superposition,[],[f36,f16]) ).
fof(f76,plain,
! [X0,X1] : apply(apply(b,k(apply(X0,X1))),X1) = apply(apply(sF1,X0),X1),
inference(forward_demodulation,[],[f41,f18]) ).
fof(f114,plain,
! [X0,X1] : apply(apply(sF1,k(X0)),X1) = apply(apply(b,k(X0)),X1),
inference(superposition,[],[f76,f1]) ).
fof(f145,plain,
! [X0,X1] : apply(apply(sF1,k(X0)),apply(X1,X0)) = apply(apply(apply(abstraction,b),X1),X0),
inference(superposition,[],[f6,f114]) ).
fof(f158,plain,
! [X0,X1] : apply(apply(sF1,k(X0)),apply(X1,X0)) = apply(apply(sF0,X1),X0),
inference(forward_demodulation,[],[f145,f16]) ).
fof(f164,plain,
! [X0,X1] : apply(apply(sF0,X1),X0) = apply(apply(apply(abstraction,sF1),X1),X0),
inference(forward_demodulation,[],[f158,f6]) ).
fof(f168,plain,
! [X0,X1] : apply(apply(sF0,X1),X0) = apply(apply(sF2,X1),X0),
inference(forward_demodulation,[],[f164,f20]) ).
fof(f182,plain,
! [X0,X1] :
( apply(apply(sF0,X0),n(apply(sF2,X0),X1)) != apply(X1,n(apply(sF2,X0),X1))
| apply(sF2,X0) = X1 ),
inference(superposition,[],[f11,f168]) ).
fof(f202,plain,
! [X0] : apply(sF2,X0) = apply(sF0,X0),
inference(equality_resolution,[],[f182]) ).
fof(f220,plain,
! [X0] :
( apply(sF0,n(sF2,X0)) != apply(X0,n(sF2,X0))
| sF2 = X0 ),
inference(superposition,[],[f11,f202]) ).
fof(f235,plain,
sF0 = sF2,
inference(equality_resolution,[],[f220]) ).
fof(f236,plain,
$false,
inference(forward_subsumption_resolution,[],[f235,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL079-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n008.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:34:54 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.61/1.78 % (2678250)Input is clausal, will run a generic CNF schedule.
% 6.61/1.78 % (2678261)dis-21_1_sil=8000:lcm=predicate:random_seed=2764804124:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.61/1.78 % (2678261)Refutation not found, incomplete strategy
% 6.61/1.78 % (2678261)------------------------------
% 6.61/1.78 % (2678261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.78 % (2678261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.78 % (2678261)CaDiCaL version: 2.1.3
% 6.61/1.78 % (2678261)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.78 % (2678261)Time elapsed: 0.001 s
% 6.61/1.78 % (2678261)Peak memory usage: 88 MB
% 6.61/1.78 % (2678259)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4266103763:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.61/1.78 % (2678255)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=443067239:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.61/1.78 % (2678260)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=977025281:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.61/1.78 % (2678256)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=109517982:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.61/1.78 % (2678258)lrs+10_1_sil=8000:sp=occurrence:random_seed=2906017904:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.61/1.78 % (2678257)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1163375898:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.61/1.78 % (2678258)Instruction limit reached!
% 6.61/1.78 % (2678258)------------------------------
% 6.61/1.78 % (2678258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.78 % (2678258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.78 % (2678258)CaDiCaL version: 2.1.3
% 6.61/1.78 % (2678258)Termination reason: Instruction limit
% 6.61/1.78 % (2678258)Termination phase: Saturation
% 6.61/1.78 % (2678258)Time elapsed: 0.068 s
% 6.61/1.78 % (2678258)Peak memory usage: 89 MB
% 6.61/1.78 % (2678258)Instructions burned: 108 (million)
% 6.61/1.78 % (2678259)Instruction limit reached!
% 6.61/1.78 % (2678259)------------------------------
% 6.61/1.78 % (2678259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.78 % (2678259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.78 % (2678259)CaDiCaL version: 2.1.3
% 6.61/1.78 % (2678259)Termination reason: Instruction limit
% 6.61/1.78 % (2678259)Termination phase: Saturation
% 6.61/1.78 % (2678259)Time elapsed: 0.072 s
% 6.61/1.78 % (2678259)Peak memory usage: 88 MB
% 6.61/1.78 % (2678259)Instructions burned: 115 (million)
% 6.61/1.78 % (2678261)------------------------------
% 6.61/1.78 % (2678261)------------------------------
% 6.61/1.78 % (2678260)Instruction limit reached!
% 6.61/1.78 % (2678260)------------------------------
% 6.61/1.78 % (2678260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.78 % (2678260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.78 % (2678260)CaDiCaL version: 2.1.3
% 6.61/1.78 % (2678260)Termination reason: Instruction limit
% 6.61/1.78 % (2678260)Termination phase: Saturation
% 6.61/1.78 % (2678260)Time elapsed: 0.104 s
% 6.61/1.78 % (2678260)Peak memory usage: 90 MB
% 6.61/1.78 % (2678260)Instructions burned: 180 (million)
% 6.61/1.78 % (2678270)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=227329924:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.61/1.78 % (2678269)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=663471459:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.61/1.78 % (2678269)Refutation not found, incomplete strategy
% 6.61/1.78 % (2678269)------------------------------
% 6.61/1.78 % (2678269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.78 % (2678269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.97 % (2678269)CaDiCaL version: 2.1.3
% 8.43/1.97 % (2678269)Termination reason: Refutation not found, incomplete strategy
% 8.43/1.97 % (2678269)Time elapsed: 0.001 s
% 8.43/1.97 % (2678269)Peak memory usage: 88 MB
% 8.43/1.97 % (2678271)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=749073450:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.43/1.97 % (2678271)Refutation not found, incomplete strategy
% 8.43/1.97 % (2678271)------------------------------
% 8.43/1.97 % (2678271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/1.97 % (2678271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.97 % (2678271)CaDiCaL version: 2.1.3
% 8.43/1.97 % (2678271)Termination reason: Refutation not found, incomplete strategy
% 8.43/1.97 % (2678271)Time elapsed: 0.0000 s
% 8.43/1.97 % (2678271)Peak memory usage: 87 MB
% 8.43/1.97 % (2678272)lrs+10_64_to=lpo:sil=8000:random_seed=71645188:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.43/1.97 % (2678270)Instruction limit reached!
% 8.43/1.97 % (2678270)------------------------------
% 8.43/1.97 % (2678270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/1.97 % (2678270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.97 % (2678270)CaDiCaL version: 2.1.3
% 8.43/1.97 % (2678270)Termination reason: Instruction limit
% 8.43/1.97 % (2678270)Termination phase: Saturation
% 8.43/1.97 % (2678270)Time elapsed: 0.112 s
% 8.43/1.97 % (2678270)Peak memory usage: 90 MB
% 8.43/1.97 % (2678270)Instructions burned: 190 (million)
% 8.43/1.97 % (2678272)Instruction limit reached!
% 8.43/1.97 % (2678272)------------------------------
% 8.43/1.97 % (2678272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/1.97 % (2678272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.97 % (2678272)CaDiCaL version: 2.1.3
% 8.43/1.97 % (2678272)Termination reason: Instruction limit
% 8.43/1.97 % (2678272)Termination phase: Saturation
% 8.43/1.97 % (2678272)Time elapsed: 0.082 s
% 8.43/1.97 % (2678272)Peak memory usage: 89 MB
% 8.43/1.97 % (2678272)Instructions burned: 126 (million)
% 8.43/1.97 % (2678271)------------------------------
% 8.43/1.97 % (2678271)------------------------------
% 8.43/1.97 % (2678269)------------------------------
% 8.43/1.97 % (2678269)------------------------------
% 8.43/1.97 % (2678279)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2588674848:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.43/1.97 % (2678277)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1577830918:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.43/1.97 % (2678278)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2417375778:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.43/1.97 % (2678277)Instruction limit reached!
% 8.43/1.97 % (2678277)------------------------------
% 8.43/1.97 % (2678277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/1.97 % (2678277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.97 % (2678277)CaDiCaL version: 2.1.3
% 8.43/1.97 % (2678277)Termination reason: Instruction limit
% 8.43/1.97 % (2678277)Termination phase: Saturation
% 8.43/1.97 % (2678277)Time elapsed: 0.120 s
% 8.43/1.97 % (2678277)Peak memory usage: 90 MB
% 8.43/1.97 % (2678277)Instructions burned: 194 (million)
% 8.43/1.97 % (2678278)Instruction limit reached!
% 8.43/1.97 % (2678278)------------------------------
% 8.43/1.97 % (2678278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/1.97 % (2678278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.97 % (2678278)CaDiCaL version: 2.1.3
% 8.43/1.97 % (2678278)Termination reason: Instruction limit
% 8.43/1.97 % (2678278)Termination phase: Saturation
% 8.43/1.97 % (2678278)Time elapsed: 0.100 s
% 8.43/1.97 % (2678278)Peak memory usage: 91 MB
% 8.43/1.97 % (2678278)Instructions burned: 158 (million)
% 8.43/1.97 % (2678280)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3044955334:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.43/1.97 % (2678255)First to succeed.
% 8.43/1.97 % (2678255)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2678250"
% 8.43/1.97 % (2678257)Also succeeded, but the first one will report.
% 8.43/1.97 % (2678256)Also succeeded, but the first one will report.
% 8.43/1.97 % (2678280)Instruction limit reached!
% 8.43/1.97 % (2678280)------------------------------
% 8.43/1.97 % (2678280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/1.97 % (2678280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.97 % (2678280)CaDiCaL version: 2.1.3
% 8.43/1.97 % (2678280)Termination reason: Instruction limit
% 8.43/1.97 % (2678280)Termination phase: Saturation
% 8.43/1.97 % (2678280)Time elapsed: 0.049 s
% 8.43/1.97 % (2678280)Peak memory usage: 89 MB
% 8.43/1.97 % (2678280)Instructions burned: 106 (million)
% 8.43/1.97 % (2678285)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3384275502:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.43/1.97 % (2678284)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3005852158:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.43/1.97 % (2678284)Refutation not found, incomplete strategy
% 8.43/1.97 % (2678284)------------------------------
% 8.43/1.97 % (2678284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/1.97 % (2678284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.97 % (2678284)CaDiCaL version: 2.1.3
% 8.43/1.97 % (2678284)Termination reason: Refutation not found, incomplete strategy
% 8.43/1.97 % (2678284)Time elapsed: 0.001 s
% 8.43/1.97 % (2678284)Peak memory usage: 87 MB
% 8.43/1.97 % (2678287)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3227547481:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.43/1.97 % (2678285)Instruction limit reached!
% 8.43/1.97 % (2678285)------------------------------
% 8.43/1.97 % (2678285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/1.97 % (2678285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.97 % (2678285)CaDiCaL version: 2.1.3
% 8.43/1.97 % (2678285)Termination reason: Instruction limit
% 8.43/1.97 % (2678285)Termination phase: Saturation
% 8.43/1.97 % (2678285)Time elapsed: 0.132 s
% 8.43/1.97 % (2678285)Peak memory usage: 91 MB
% 8.43/1.97 % (2678285)Instructions burned: 242 (million)
% 8.43/1.97 % (2678255)Refutation found. Thanks to Tanya!
% 8.43/1.97 % SZS status Unsatisfiable for theBenchmark
% 8.43/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.43/1.97 % (2678255)------------------------------
% 8.43/1.97 % (2678255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/1.97 % (2678255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.97 % (2678255)CaDiCaL version: 2.1.3
% 8.43/1.97 % (2678255)Termination reason: Refutation
% 8.43/1.97 % (2678255)Time elapsed: 0.658 s
% 8.43/1.97 % (2678255)Peak memory usage: 127 MB
% 8.43/1.97 % (2678255)Instructions burned: 972 (million)
% 8.43/1.97 % (2678255)------------------------------
% 8.43/1.97 % (2678255)------------------------------
% 8.43/1.97 % (2678250)Success in time 1.112 s
% 8.43/1.97 % Vampire exiting
%------------------------------------------------------------------------------