%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT032-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 11:47:43 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
fof(f9,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
fof(f10,negated_conjecture,
meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).
fof(f16,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f18,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f26,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f18,f16]) ).
fof(f29,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f16,f18]) ).
fof(f67,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(superposition,[],[f5,f26]) ).
fof(f81,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(superposition,[],[f6,f29]) ).
fof(f113,plain,
! [X0,X1] : meet(join(X1,X0),X0) = X0,
inference(superposition,[],[f67,f18]) ).
fof(f225,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f81,f4]) ).
fof(f1872,plain,
meet(xx,join(yy,zz)) != meet(join(meet(xx,yy),xx),join(meet(xx,yy),zz)),
inference(superposition,[],[f10,f9]) ).
fof(f1923,plain,
meet(xx,join(yy,zz)) != meet(join(meet(xx,yy),xx),join(zz,meet(xx,yy))),
inference(superposition,[],[f1872,f6]) ).
fof(f1956,plain,
meet(xx,join(yy,zz)) != meet(join(zz,meet(xx,yy)),join(meet(xx,yy),xx)),
inference(superposition,[],[f1923,f5]) ).
fof(f1961,plain,
meet(xx,join(yy,zz)) != meet(join(zz,meet(xx,yy)),xx),
inference(superposition,[],[f1956,f225]) ).
fof(f1964,plain,
meet(xx,join(yy,zz)) != meet(meet(join(zz,xx),join(zz,yy)),xx),
inference(superposition,[],[f1961,f9]) ).
fof(f1972,plain,
meet(xx,join(yy,zz)) != meet(meet(join(zz,xx),join(yy,zz)),xx),
inference(superposition,[],[f1964,f6]) ).
fof(f2071,plain,
meet(xx,join(yy,zz)) != meet(meet(join(yy,zz),join(zz,xx)),xx),
inference(superposition,[],[f1972,f5]) ).
fof(f2098,plain,
meet(xx,join(yy,zz)) != meet(join(yy,zz),meet(join(zz,xx),xx)),
inference(superposition,[],[f2071,f7]) ).
fof(f2134,plain,
meet(xx,join(yy,zz)) != meet(join(yy,zz),xx),
inference(superposition,[],[f2098,f113]) ).
fof(f2142,plain,
meet(xx,join(yy,zz)) != meet(xx,join(yy,zz)),
inference(superposition,[],[f2134,f5]) ).
fof(f2143,plain,
$false,
inference(trivial_inequality_removal,[],[f2142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT032-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:57:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.46 % (2989946)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2989957)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1695492435:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (2989952)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2989951)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=388992866_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (2989954)dis+10_1_sil=32000:sp=arity:random_seed=1954320647:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (2989953)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1872749582:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2989955)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3929667732:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (2989956)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1986735351:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % (2989952)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=57253180:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % TRYING [5]
% 0.10/0.46 % (2989957) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2989946-2989957"...
% 0.10/0.46 % (2989957)...printing done.
% 0.10/0.46 % (2989957)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (2989957)------------------------------
% 0.10/0.46 % (2989957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (2989957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (2989957)CaDiCaL version: 2.1.3
% 0.10/0.46 % (2989957)Termination reason: Refutation
% 0.10/0.46 % (2989957)Time elapsed: 0.028 s
% 0.10/0.46 % (2989957)Peak memory usage: 12 MB
% 0.10/0.46 % (2989957)Instructions burned: 89 (million)
% 0.10/0.46 % (2989946)Success in time 0.052 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------