%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP095-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10:12:34 AM UTC 2026
% Result : Unsatisfiable 1.96s 1.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 71 ( 51 unt; 3 def)
% Number of atoms : 103 ( 74 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 34 ~; 29 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 99 ( 0 sgn 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,plain,
! [X0] : divide(identity,X0) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f6,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f7,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,plain,
( divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) ),
inference(definition_unfolding,[],[f7,f2,f4,f2,f4,f2,f2,f4,f2,f2,f2,f2,f2,f2]) ).
fof(f9,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) ),
inference(forward_demodulation,[],[f8,f5]) ).
fof(f10,plain,
( a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) ),
inference(forward_subsumption_resolution,[],[f9,f5]) ).
fof(f11,plain,
( a2 != divide(identity,divide(identity,a2))
| divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) ),
inference(forward_demodulation,[],[f10,f5]) ).
fof(f13,definition,
( spl0_1
<=> divide(a4,divide(identity,b4)) = divide(b4,divide(identity,a4)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f15,plain,
( divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4))
| spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f17,definition,
( spl0_2
<=> divide(divide(a3,divide(identity,b3)),divide(identity,c3)) = divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f19,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| spl0_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f21,definition,
( spl0_3
<=> a2 = divide(identity,divide(identity,a2)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f23,plain,
( a2 != divide(identity,divide(identity,a2))
| spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f11,f21,f17,f13]) ).
fof(f25,plain,
! [X0,X1] : divide(identity,divide(divide(divide(X0,identity),X1),X0)) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f26,plain,
! [X0,X1] : divide(divide(identity,X0),divide(divide(identity,X1),X0)) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : divide(divide(identity,divide(divide(divide(X1,X2),X0),X1)),divide(divide(X0,X3),divide(identity,X2))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f28,plain,
! [X2,X0,X1] : divide(divide(divide(X2,X1),X0),X2) = divide(divide(identity,X1),divide(X0,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f29,plain,
! [X0,X1] : divide(X1,X0) = divide(divide(identity,X0),divide(identity,X1)),
inference(superposition,[],[f1,f5]) ).
fof(f30,plain,
! [X2,X3,X0] : divide(divide(identity,divide(divide(identity,X2),divide(X0,identity))),divide(divide(X0,X3),divide(identity,X2))) = X3,
inference(forward_demodulation,[],[f27,f28]) ).
fof(f31,plain,
! [X1] : divide(identity,divide(divide(identity,identity),divide(X1,identity))) = X1,
inference(forward_demodulation,[],[f25,f28]) ).
fof(f32,plain,
! [X1] : divide(identity,divide(identity,divide(X1,identity))) = X1,
inference(forward_demodulation,[],[f31,f5]) ).
fof(f35,plain,
! [X0,X1] : divide(X0,divide(divide(X0,X1),identity)) = X1,
inference(superposition,[],[f1,f32]) ).
fof(f39,plain,
! [X0] : divide(X0,divide(identity,identity)) = X0,
inference(superposition,[],[f35,f5]) ).
fof(f46,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[],[f39,f5]) ).
fof(f48,plain,
! [X0,X1] : divide(X0,divide(divide(identity,X1),divide(identity,divide(X0,identity)))) = X1,
inference(superposition,[],[f26,f32]) ).
fof(f59,plain,
! [X0,X1] : divide(divide(identity,X1),divide(X0,identity)) = divide(divide(identity,X0),X1),
inference(superposition,[],[f35,f26]) ).
fof(f61,plain,
! [X0,X1] : divide(divide(identity,X1),X0) = divide(divide(identity,X0),X1),
inference(forward_demodulation,[],[f59,f46]) ).
fof(f69,plain,
! [X0,X1] : divide(X0,divide(divide(X0,identity),X1)) = X1,
inference(forward_demodulation,[],[f48,f29]) ).
fof(f74,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f69,f46]) ).
fof(f80,plain,
! [X0,X1] : divide(divide(identity,identity),divide(divide(X0,X1),X0)) = X1,
inference(superposition,[],[f1,f46]) ).
fof(f90,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f80,f5]) ).
fof(f92,plain,
! [X0,X1] : divide(X0,divide(identity,X1)) = divide(X1,divide(identity,divide(X0,identity))),
inference(superposition,[],[f29,f32]) ).
fof(f115,plain,
! [X0,X1] : divide(X0,divide(identity,X1)) = divide(X1,divide(identity,X0)),
inference(forward_demodulation,[],[f92,f46]) ).
fof(f138,plain,
! [X2,X0,X1] : divide(divide(X2,X1),X0) = divide(divide(identity,X1),divide(X0,X2)),
inference(superposition,[],[f1,f74]) ).
fof(f151,plain,
! [X2,X0,X1] : divide(divide(X0,X2),divide(identity,X1)) = divide(divide(identity,divide(divide(identity,X0),X1)),divide(X2,identity)),
inference(superposition,[],[f28,f26]) ).
fof(f187,plain,
! [X2,X0,X1] : divide(divide(X0,X2),divide(identity,X1)) = divide(divide(identity,divide(divide(identity,X0),X1)),X2),
inference(forward_demodulation,[],[f151,f138]) ).
fof(f289,plain,
! [X2,X0,X1] : divide(divide(identity,divide(divide(identity,X2),divide(divide(divide(identity,X2),X0),identity))),divide(divide(identity,X0),divide(X1,identity))) = X1,
inference(superposition,[],[f30,f28]) ).
fof(f310,plain,
! [X2,X0,X1] : divide(divide(divide(X1,identity),divide(divide(identity,X2),divide(divide(divide(identity,X2),X0),identity))),divide(identity,X0)) = X1,
inference(forward_demodulation,[],[f289,f138]) ).
fof(f343,plain,
! [X2,X0,X1] : divide(X0,divide(identity,divide(divide(X1,identity),divide(divide(identity,X2),divide(divide(divide(identity,X2),X0),identity))))) = X1,
inference(forward_demodulation,[],[f310,f115]) ).
fof(f374,plain,
! [X0,X1] : divide(X0,divide(identity,divide(divide(X1,identity),X0))) = X1,
inference(forward_demodulation,[],[f343,f1]) ).
fof(f394,plain,
! [X0,X1] : divide(X0,divide(identity,divide(X1,X0))) = X1,
inference(forward_demodulation,[],[f374,f46]) ).
fof(f539,plain,
! [X2,X0,X1] : divide(divide(X2,X0),X1) = divide(X2,divide(identity,divide(divide(identity,X0),divide(X1,identity)))),
inference(superposition,[],[f394,f28]) ).
fof(f552,plain,
! [X0,X1] : divide(X1,X0) = divide(identity,divide(X0,X1)),
inference(superposition,[],[f74,f394]) ).
fof(f585,plain,
! [X2,X0,X1] : divide(divide(X2,X0),X1) = divide(X2,divide(divide(X1,identity),divide(identity,X0))),
inference(forward_demodulation,[],[f539,f552]) ).
fof(f604,plain,
! [X2,X0,X1] : divide(divide(X2,X0),X1) = divide(X2,divide(X1,divide(identity,X0))),
inference(forward_demodulation,[],[f585,f46]) ).
fof(f652,plain,
! [X2,X0,X1] : divide(divide(X0,X1),divide(identity,X2)) = divide(X2,divide(X1,X0)),
inference(superposition,[],[f29,f552]) ).
fof(f831,plain,
! [X2,X0,X1] : divide(divide(X2,X0),divide(identity,X1)) = divide(identity,divide(X0,divide(identity,divide(divide(identity,X1),divide(X2,identity))))),
inference(superposition,[],[f90,f30]) ).
fof(f874,plain,
! [X2,X0,X1] : divide(divide(X2,X0),divide(identity,X1)) = divide(divide(identity,divide(divide(identity,X1),divide(X2,identity))),X0),
inference(forward_demodulation,[],[f831,f604]) ).
fof(f890,plain,
! [X2,X0,X1] : divide(divide(X2,X0),divide(identity,X1)) = divide(divide(X1,X0),divide(identity,divide(X2,identity))),
inference(forward_demodulation,[],[f874,f187]) ).
fof(f893,plain,
! [X2,X0,X1] : divide(divide(X2,X0),divide(identity,X1)) = divide(divide(X2,identity),divide(X0,X1)),
inference(forward_demodulation,[],[f890,f652]) ).
fof(f895,plain,
! [X2,X0,X1] : divide(divide(X2,X0),divide(identity,X1)) = divide(X2,divide(X0,X1)),
inference(forward_demodulation,[],[f893,f46]) ).
fof(f1183,plain,
( divide(a4,divide(identity,b4)) != divide(a4,divide(identity,b4))
| spl0_1 ),
inference(superposition,[],[f15,f115]) ).
fof(f1226,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f1183]) ).
fof(f1227,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1226]) ).
fof(f1444,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(divide(identity,c3),b3))
| spl0_2 ),
inference(forward_demodulation,[],[f19,f604]) ).
fof(f1445,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(divide(identity,b3),c3))
| spl0_2 ),
inference(forward_demodulation,[],[f1444,f61]) ).
fof(f1446,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1445,f895]) ).
fof(f1447,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1446]) ).
fof(f1449,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f23,f74]) ).
fof(f1450,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1449]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f24]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f1227]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f1447]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f1450]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s4,s3]) ).
fof(f1452,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP095-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:20:56 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 1.96/1.41 % (239842)Input is clausal, will run a generic CNF schedule.
% 1.96/1.41 % (239854)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=2727695090:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.96/1.41 % (239857)lrs+10_1_sil=8000:sp=occurrence:random_seed=909891709:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.96/1.41 % (239860)dis-21_1_sil=8000:lcm=predicate:random_seed=1276802631: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)
% 1.96/1.41 % (239855)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2417193929:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.96/1.41 % (239856)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3205968765:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.96/1.41 % (239860)Refutation not found, incomplete strategy
% 1.96/1.41 % (239860)------------------------------
% 1.96/1.41 % (239860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.41 % (239860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.41 % (239860)CaDiCaL version: 2.1.3
% 1.96/1.41 % (239860)Termination reason: Refutation not found, incomplete strategy
% 1.96/1.41 % (239860)Time elapsed: 0.001 s
% 1.96/1.41 % (239860)Peak memory usage: 88 MB
% 1.96/1.41 % (239858)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4047107312:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.96/1.41 % (239859)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3757874090:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.96/1.41 % (239857)First to succeed.
% 1.96/1.41 % (239857)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-239842"
% 1.96/1.41 % (239858)Instruction limit reached!
% 1.96/1.41 % (239858)------------------------------
% 1.96/1.41 % (239858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.41 % (239858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.41 % (239858)CaDiCaL version: 2.1.3
% 1.96/1.41 % (239858)Termination reason: Instruction limit
% 1.96/1.41 % (239858)Termination phase: Saturation
% 1.96/1.41 % (239858)Time elapsed: 0.073 s
% 1.96/1.41 % (239858)Peak memory usage: 89 MB
% 1.96/1.41 % (239858)Instructions burned: 115 (million)
% 1.96/1.41 % (239859)Instruction limit reached!
% 1.96/1.41 % (239859)------------------------------
% 1.96/1.41 % (239859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.41 % (239859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.41 % (239859)CaDiCaL version: 2.1.3
% 1.96/1.41 % (239859)Termination reason: Instruction limit
% 1.96/1.41 % (239859)Termination phase: Saturation
% 1.96/1.41 % (239859)Time elapsed: 0.104 s
% 1.96/1.41 % (239859)Peak memory usage: 90 MB
% 1.96/1.41 % (239859)Instructions burned: 181 (million)
% 1.96/1.41 % (239907)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=2240595139:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.96/1.41 % (239907)Refutation not found, incomplete strategy
% 1.96/1.41 % (239907)------------------------------
% 1.96/1.41 % (239907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.41 % (239907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.41 % (239907)CaDiCaL version: 2.1.3
% 1.96/1.41 % (239907)Termination reason: Refutation not found, incomplete strategy
% 1.96/1.41 % (239907)Time elapsed: 0.001 s
% 1.96/1.41 % (239907)Peak memory usage: 88 MB
% 1.96/1.41 % (239860)------------------------------
% 1.96/1.41 % (239860)------------------------------
% 1.96/1.41 % (239922)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2909619062: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)
% 1.96/1.41 % (239922)Refutation not found, incomplete strategy
% 1.96/1.41 % (239922)------------------------------
% 1.96/1.41 % (239922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.41 % (239922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.41 % (239922)CaDiCaL version: 2.1.3
% 1.96/1.41 % (239922)Termination reason: Refutation not found, incomplete strategy
% 1.96/1.41 % (239922)Time elapsed: 0.002 s
% 1.96/1.41 % (239922)Peak memory usage: 88 MB
% 1.96/1.41 % (239922)Instructions burned: 1 (million)
% 1.96/1.41 % (239857)Refutation found. Thanks to Tanya!
% 1.96/1.41 % SZS status Unsatisfiable for theBenchmark
% 1.96/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.60 % (239857)------------------------------
% 0.20/1.60 % (239857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.60 % (239857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.60 % (239857)CaDiCaL version: 2.1.3
% 0.20/1.60 % (239857)Termination reason: Refutation
% 0.20/1.60 % (239857)Time elapsed: 0.025 s
% 0.20/1.60 % (239857)Peak memory usage: 89 MB
% 0.20/1.60 % (239857)Instructions burned: 39 (million)
% 0.20/1.60 % (239857)------------------------------
% 0.20/1.60 % (239857)------------------------------
% 0.20/1.60 % (239842)Success in time 0.408 s
% 0.20/1.60 % Vampire exiting
%------------------------------------------------------------------------------