%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP190-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 10:17:08 AM UTC 2026
% Result : Unsatisfiable 5.29s 1.25s
% Output : Refutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).
fof(f6,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
fof(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
fof(f16,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).
fof(f17,axiom,
least_upper_bound(a,b) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39c_1) ).
fof(f18,plain,
a = least_upper_bound(a,b),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
greatest_lower_bound(inverse(a),inverse(b)) != inverse(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p39c) ).
fof(f20,plain,
inverse(a) != greatest_lower_bound(inverse(a),inverse(b)),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
inverse(a) != greatest_lower_bound(inverse(b),inverse(a)),
inference(superposition,[],[f20,f5]) ).
fof(f23,plain,
a = least_upper_bound(b,a),
inference(superposition,[],[f6,f18]) ).
fof(f38,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f41,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f38,f1]) ).
fof(f78,plain,
! [X0,X1] : multiply(inverse(X0),least_upper_bound(X0,X1)) = least_upper_bound(identity,multiply(inverse(X0),X1)),
inference(superposition,[],[f13,f3]) ).
fof(f160,plain,
! [X0,X1] : multiply(greatest_lower_bound(inverse(X0),X1),X0) = greatest_lower_bound(identity,multiply(X1,X0)),
inference(superposition,[],[f16,f3]) ).
fof(f203,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f41,f3]) ).
fof(f370,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f41,f203]) ).
fof(f657,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f41,f370]) ).
fof(f659,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f657,f203]) ).
fof(f667,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f203,f659]) ).
fof(f2970,plain,
! [X0,X1] : identity = greatest_lower_bound(identity,multiply(inverse(X0),least_upper_bound(X0,X1))),
inference(superposition,[],[f12,f78]) ).
fof(f8670,plain,
identity = greatest_lower_bound(identity,multiply(inverse(b),a)),
inference(superposition,[],[f2970,f23]) ).
fof(f8720,plain,
identity = multiply(greatest_lower_bound(inverse(a),inverse(b)),a),
inference(forward_demodulation,[],[f8670,f160]) ).
fof(f8751,plain,
identity = multiply(greatest_lower_bound(inverse(b),inverse(a)),a),
inference(forward_demodulation,[],[f8720,f5]) ).
fof(f12721,plain,
a = multiply(inverse(greatest_lower_bound(inverse(b),inverse(a))),identity),
inference(superposition,[],[f41,f8751]) ).
fof(f12772,plain,
a = inverse(greatest_lower_bound(inverse(b),inverse(a))),
inference(forward_demodulation,[],[f12721,f667]) ).
fof(f12808,plain,
inverse(a) = greatest_lower_bound(inverse(b),inverse(a)),
inference(superposition,[],[f659,f12772]) ).
fof(f12906,plain,
inverse(a) != inverse(a),
inference(superposition,[],[f21,f12808]) ).
fof(f12935,plain,
$false,
inference(trivial_inequality_removal,[],[f12906]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP190-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 09:39:36 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.29/1.25 % (3295620)Will run a generic schedule for satisfiability detection.
% 5.29/1.25 % (3295628)dis+10_1_sil=32000:sp=arity:random_seed=3359874542:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.29/1.25 % (3295626)% WARNING: option uhcvi not known.
% 5.29/1.25 % (3295629)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3578634664:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.29/1.25 % (3295627)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3299790280:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.29/1.25 % (3295625)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2785434553_2999 on theBenchmark for (2999ds/0Mi)
% 5.29/1.25 % (3295626)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4049095166:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.29/1.25 % TRYING [1]
% 5.29/1.25 % TRYING [2]
% 5.29/1.25 % TRYING [3]
% 5.29/1.25 % TRYING [4]
% 5.29/1.25 % (3295631)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2961430884:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.29/1.25 % (3295630)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2981315215:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.29/1.25 % (3295628)Instruction limit reached!
% 5.29/1.25 % (3295628)------------------------------
% 5.29/1.25 % (3295628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295628)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295628)Termination reason: Instruction limit
% 5.29/1.25 % (3295628)Termination phase: Saturation
% 5.29/1.25 % (3295628)Time elapsed: 0.034 s
% 5.29/1.25 % (3295628)Peak memory usage: 12 MB
% 5.29/1.25 % (3295628)Instructions burned: 106 (million)
% 5.29/1.25 % (3295645)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=846902958:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.29/1.25 % TRYING [1]
% 5.29/1.25 % TRYING [2]
% 5.29/1.25 % TRYING [3]
% 5.29/1.25 % TRYING [5]
% 5.29/1.25 % TRYING [4]
% 5.29/1.25 % TRYING [5]
% 5.29/1.25 % (3295629)Instruction limit reached!
% 5.29/1.25 % (3295629)------------------------------
% 5.29/1.25 % (3295629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295629)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295629)Termination reason: Instruction limit
% 5.29/1.25 % (3295629)Termination phase: Saturation
% 5.29/1.25 % (3295629)Time elapsed: 0.072 s
% 5.29/1.25 % (3295629)Peak memory usage: 12 MB
% 5.29/1.25 % (3295629)Instructions burned: 117 (million)
% 5.29/1.25 % (3295658)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2353834433:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.29/1.25 % (3295630)Instruction limit reached!
% 5.29/1.25 % (3295630)------------------------------
% 5.29/1.25 % (3295630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295630)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295630)Termination reason: Instruction limit
% 5.29/1.25 % (3295630)Termination phase: Saturation
% 5.29/1.25 % (3295630)Time elapsed: 0.083 s
% 5.29/1.25 % (3295630)Peak memory usage: 13 MB
% 5.29/1.25 % (3295630)Instructions burned: 131 (million)
% 5.29/1.25 % (3295631)Instruction limit reached!
% 5.29/1.25 % (3295631)------------------------------
% 5.29/1.25 % (3295631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295631)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295631)Termination reason: Instruction limit
% 5.29/1.25 % (3295631)Termination phase: Saturation
% 5.29/1.25 % (3295631)Time elapsed: 0.097 s
% 5.29/1.25 % (3295631)Peak memory usage: 12 MB
% 5.29/1.25 % (3295631)Instructions burned: 159 (million)
% 5.29/1.25 % (3295668)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=118313310:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.29/1.25 % (3295673)ott-21_1_sil=16000:fs=off:random_seed=3144012352:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.29/1.25 % TRYING [6]
% 5.29/1.25 % TRYING [6]
% 5.29/1.25 % (3295658)Instruction limit reached!
% 5.29/1.25 % (3295658)------------------------------
% 5.29/1.25 % (3295658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295658)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295658)Termination reason: Instruction limit
% 5.29/1.25 % (3295658)Termination phase: Saturation
% 5.29/1.25 % (3295658)Time elapsed: 0.087 s
% 5.29/1.25 % (3295658)Peak memory usage: 13 MB
% 5.29/1.25 % (3295658)Instructions burned: 132 (million)
% 5.29/1.25 % (3295645)Instruction limit reached!
% 5.29/1.25 % (3295645)------------------------------
% 5.29/1.25 % (3295645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295645)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295645)Termination reason: Instruction limit
% 5.29/1.25 % (3295645)Termination phase: Finite model building constraint generation
% 5.29/1.25 % (3295645)Time elapsed: 0.157 s
% 5.29/1.25 % (3295645)Peak memory usage: 32 MB
% 5.29/1.25 % (3295645)Instructions burned: 718 (million)
% 5.29/1.25 % (3295700)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2421238016:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.29/1.25 % (3295708)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1255682686:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.29/1.25 % TRYING [1]
% 5.29/1.25 % TRYING [2]
% 5.29/1.25 % TRYING [3]
% 5.29/1.25 % (3295673)Instruction limit reached!
% 5.29/1.25 % (3295673)------------------------------
% 5.29/1.25 % (3295673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295673)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295673)Termination reason: Instruction limit
% 5.29/1.25 % (3295673)Termination phase: Saturation
% 5.29/1.25 % (3295673)Time elapsed: 0.077 s
% 5.29/1.25 % (3295673)Peak memory usage: 11 MB
% 5.29/1.25 % (3295673)Instructions burned: 181 (million)
% 5.29/1.25 % TRYING [4]
% 5.29/1.25 % (3295715)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3091005848:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 5.29/1.25 % TRYING [5]
% 5.29/1.25 % TRYING [6]
% 5.29/1.25 % (3295708)Instruction limit reached!
% 5.29/1.25 % (3295708)------------------------------
% 5.29/1.25 % (3295708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295708)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295708)Termination reason: Instruction limit
% 5.29/1.25 % (3295708)Termination phase: Finite model building constraint generation
% 5.29/1.25 % (3295708)Time elapsed: 0.178 s
% 5.29/1.25 % (3295708)Peak memory usage: 22 MB
% 5.29/1.25 % (3295708)Instructions burned: 869 (million)
% 5.29/1.25 % (3295748)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2259815265:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 5.29/1.25 % (3295700)Instruction limit reached!
% 5.29/1.25 % (3295700)------------------------------
% 5.29/1.25 % (3295700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295700)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295700)Termination reason: Instruction limit
% 5.29/1.25 % (3295700)Termination phase: Saturation
% 5.29/1.25 % (3295700)Time elapsed: 0.259 s
% 5.29/1.25 % (3295700)Peak memory usage: 15 MB
% 5.29/1.25 % (3295700)Instructions burned: 479 (million)
% 5.29/1.25 % (3295756)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3041691254:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 5.29/1.25 % (3295668)Instruction limit reached!
% 5.29/1.25 % (3295668)------------------------------
% 5.29/1.25 % (3295668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295668)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295668)Termination reason: Instruction limit
% 5.29/1.25 % (3295668)Termination phase: Saturation
% 5.29/1.25 % (3295668)Time elapsed: 0.375 s
% 5.29/1.25 % (3295668)Peak memory usage: 17 MB
% 5.29/1.25 % (3295668)Instructions burned: 684 (million)
% 5.29/1.25 % (3295758)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=898499212:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 5.29/1.25 % TRYING [14]
% 5.29/1.25 % (3295748)Instruction limit reached!
% 5.29/1.25 % (3295748)------------------------------
% 5.29/1.25 % (3295748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295748)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295748)Termination reason: Instruction limit
% 5.29/1.25 % (3295748)Termination phase: Finite model building constraint generation
% 5.29/1.25 % (3295748)Time elapsed: 0.206 s
% 5.29/1.25 % (3295748)Peak memory usage: 92 MB
% 5.29/1.25 % (3295748)Instructions burned: 890 (million)
% 5.29/1.25 % (3295760)fmb+10_1_sil=64000:random_seed=2706683359:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 5.29/1.25 % TRYING [1]
% 5.29/1.25 % TRYING [2]
% 5.29/1.25 % TRYING [3]
% 5.29/1.25 % TRYING [4]
% 5.29/1.25 % TRYING [5]
% 5.29/1.25 % TRYING [7]
% 5.29/1.25 % (3295758) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3295620-3295758"...
% 5.29/1.25 % (3295758)...printing done.
% 5.29/1.25 % (3295758)Refutation found. Thanks to Tanya!
% 5.29/1.25 % SZS status Unsatisfiable for theBenchmark
% 5.29/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 5.29/1.25 % (3295758)------------------------------
% 5.29/1.25 % (3295758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.25 % (3295758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.25 % (3295758)CaDiCaL version: 2.1.3
% 5.29/1.25 % (3295758)Termination reason: Refutation
% 5.29/1.25 % (3295758)Time elapsed: 0.254 s
% 5.29/1.25 % (3295758)Peak memory usage: 15 MB
% 5.29/1.25 % (3295758)Instructions burned: 426 (million)
% 5.29/1.25 % (3295620)Success in time 0.814 s
% 5.29/1.25 % Vampire exiting
%------------------------------------------------------------------------------