%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT028-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 11:47:42 AM UTC 2026
% Result : Unsatisfiable 0.56s 0.55s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',idempotence_of_meet) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',commutativity_of_meet) ).
fof(f4,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',commutativity_of_join) ).
fof(f5,axiom,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',wal_1) ).
fof(f6,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',wal_2) ).
fof(f8,axiom,
! [X0,X1] : meet2(X0,X1) = meet2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet2) ).
fof(f9,axiom,
! [X2,X0,X1] : meet2(meet2(join(X0,X1),join(X2,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_1_2) ).
fof(f10,axiom,
! [X2,X0,X1] : join(join(meet2(X0,X1),meet2(X2,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_2_2) ).
fof(f11,negated_conjecture,
meet(a,b) != meet2(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',name) ).
fof(f12,plain,
! [X2,X0,X1] : meet(X1,meet(join(X0,X1),join(X2,X1))) = X1,
inference(forward_demodulation,[],[f5,f3]) ).
fof(f13,plain,
! [X2,X0,X1] : join(X1,join(meet(X0,X1),meet(X2,X1))) = X1,
inference(forward_demodulation,[],[f6,f4]) ).
fof(f14,plain,
! [X2,X0,X1] : meet2(X1,meet2(join(X0,X1),join(X2,X1))) = X1,
inference(forward_demodulation,[],[f9,f8]) ).
fof(f15,plain,
! [X2,X0,X1] : join(X1,join(meet2(X0,X1),meet2(X2,X1))) = X1,
inference(forward_demodulation,[],[f10,f4]) ).
fof(f22,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f12,f1]) ).
fof(f47,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f13,f2]) ).
fof(f61,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f47,f3]) ).
fof(f159,plain,
! [X2,X0,X1] : meet(X1,X0) = meet2(meet(X1,X0),meet2(X0,join(X2,meet(X1,X0)))),
inference(superposition,[],[f14,f47]) ).
fof(f238,plain,
! [X0,X1] : join(X1,meet2(X0,X1)) = X1,
inference(superposition,[],[f15,f2]) ).
fof(f269,plain,
! [X0,X1] : join(X0,meet2(X0,X1)) = X0,
inference(superposition,[],[f238,f8]) ).
fof(f276,plain,
! [X2,X0,X1] : meet2(X1,X0) = meet(meet2(X1,X0),meet(X0,join(X2,meet2(X1,X0)))),
inference(superposition,[],[f12,f238]) ).
fof(f280,plain,
! [X0,X1] : meet2(X1,X0) = meet(meet2(X1,X0),X0),
inference(superposition,[],[f22,f238]) ).
fof(f288,plain,
! [X0,X1] : meet2(X1,X0) = meet(X0,meet2(X1,X0)),
inference(forward_demodulation,[],[f280,f3]) ).
fof(f5467,plain,
! [X0,X1] : meet(X0,X1) = meet2(meet(X0,X1),meet2(X1,X0)),
inference(superposition,[],[f159,f61]) ).
fof(f5582,plain,
! [X0,X1] : meet(X0,X1) = meet(meet2(X1,X0),meet(X0,X1)),
inference(superposition,[],[f288,f5467]) ).
fof(f5603,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet2(X1,X0)),
inference(forward_demodulation,[],[f5582,f3]) ).
fof(f6754,plain,
! [X0,X1] : meet2(X0,X1) = meet(meet2(X0,X1),meet(X1,X0)),
inference(superposition,[],[f276,f269]) ).
fof(f6837,plain,
! [X0,X1] : meet2(X0,X1) = meet(meet(X1,X0),meet2(X0,X1)),
inference(forward_demodulation,[],[f6754,f3]) ).
fof(f6859,plain,
! [X0,X1] : meet(X1,X0) = meet2(X0,X1),
inference(forward_demodulation,[],[f6837,f5603]) ).
fof(f6951,plain,
meet(a,b) != meet(b,a),
inference(superposition,[],[f11,f6859]) ).
fof(f6952,plain,
$false,
inference(forward_subsumption_resolution,[],[f6951,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT028-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 14:02:17 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 0.56/0.55 % (2665726)Will run a generic schedule for satisfiability detection.
% 0.56/0.55 % (2665731)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=710791831_2999 on theBenchmark for (2999ds/0Mi)
% 0.56/0.55 % TRYING [1]
% 0.56/0.55 % TRYING [2]
% 0.56/0.55 % TRYING [3]
% 0.56/0.55 % TRYING [4]
% 0.56/0.55 % TRYING [5]
% 0.56/0.55 % (2665732)% WARNING: option uhcvi not known.
% 0.56/0.55 % (2665732)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1111241589:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.56/0.55 % TRYING [6]
% 0.56/0.55 % (2665733)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3479974761:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.56/0.55 % (2665734)dis+10_1_sil=32000:sp=arity:random_seed=1192168736:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.56/0.55 % (2665736)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=403465021:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.56/0.55 % (2665737)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3781971063:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.56/0.55 % (2665735)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=432118915:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.56/0.55 % TRYING [7]
% 0.56/0.55 % TRYING [8]
% 0.56/0.55 % TRYING [9]
% 0.56/0.55 % (2665734)Instruction limit reached!
% 0.56/0.55 % (2665734)------------------------------
% 0.56/0.55 % (2665734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.55 % (2665734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.55 % (2665734)CaDiCaL version: 2.1.3
% 0.56/0.55 % (2665734)Termination reason: Instruction limit
% 0.56/0.55 % (2665734)Termination phase: Saturation
% 0.56/0.55 % (2665734)Time elapsed: 0.059 s
% 0.56/0.55 % (2665734)Peak memory usage: 12 MB
% 0.56/0.55 % (2665734)Instructions burned: 104 (million)
% 0.56/0.55 % (2665735)Instruction limit reached!
% 0.56/0.55 % (2665735)------------------------------
% 0.56/0.55 % (2665735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.55 % (2665735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.55 % (2665735)CaDiCaL version: 2.1.3
% 0.56/0.55 % (2665735)Termination reason: Instruction limit
% 0.56/0.55 % (2665735)Termination phase: Saturation
% 0.56/0.55 % (2665735)Time elapsed: 0.069 s
% 0.56/0.55 % (2665735)Peak memory usage: 12 MB
% 0.56/0.55 % (2665735)Instructions burned: 118 (million)
% 0.56/0.55 % (2665736)Instruction limit reached!
% 0.56/0.55 % (2665736)------------------------------
% 0.56/0.55 % (2665736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.55 % (2665736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.55 % (2665736)CaDiCaL version: 2.1.3
% 0.56/0.55 % (2665736)Termination reason: Instruction limit
% 0.56/0.55 % (2665736)Termination phase: Saturation
% 0.56/0.55 % (2665736)Time elapsed: 0.075 s
% 0.56/0.55 % (2665736)Peak memory usage: 12 MB
% 0.56/0.55 % (2665736)Instructions burned: 132 (million)
% 0.56/0.55 % (2665745)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3811193688:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.56/0.55 % TRYING [1]
% 0.56/0.55 % TRYING [2]
% 0.56/0.55 % TRYING [3]
% 0.56/0.55 % TRYING [4]
% 0.56/0.55 % TRYING [10]
% 0.56/0.55 % TRYING [5]
% 0.56/0.55 % (2665746)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=832237958:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.56/0.55 % (2665737)Instruction limit reached!
% 0.56/0.55 % (2665737)------------------------------
% 0.56/0.55 % (2665737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.55 % (2665747)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=1555698110:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.56/0.55 % (2665737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.55 % (2665737)CaDiCaL version: 2.1.3
% 0.56/0.55 % (2665737)Termination reason: Instruction limit
% 0.56/0.55 % (2665737)Termination phase: Saturation
% 0.56/0.55 % (2665737)Time elapsed: 0.095 s
% 0.56/0.55 % (2665737)Peak memory usage: 12 MB
% 0.56/0.55 % (2665737)Instructions burned: 160 (million)
% 0.56/0.55 % TRYING [6]
% 0.56/0.55 % (2665733) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2665726-2665733"...
% 0.56/0.55 % (2665733)...printing done.
% 0.56/0.55 % TRYING [7]
% 0.56/0.55 % (2665733)Refutation found. Thanks to Tanya!
% 0.56/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.55 % (2665733)------------------------------
% 0.56/0.55 % (2665733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.55 % (2665733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.55 % (2665733)CaDiCaL version: 2.1.3
% 0.56/0.55 % (2665733)Termination reason: Refutation
% 0.56/0.55 % (2665733)Time elapsed: 0.109 s
% 0.56/0.55 % (2665733)Peak memory usage: 13 MB
% 0.56/0.55 % (2665733)Instructions burned: 207 (million)
% 0.56/0.55 % (2665726)Success in time 0.145 s
% 0.56/0.55 % Vampire exiting
%------------------------------------------------------------------------------