%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dist_join) ).
fof(f10,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_meet) ).
fof(f13,axiom,
! [X0] : join(X0,n0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_join_0) ).
fof(f14,axiom,
! [X0] : meet(X0,n1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_meet_1) ).
fof(f18,axiom,
join(xx,yy) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs1) ).
fof(f19,plain,
n1 = join(xx,yy),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
join(xx,zz) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs2) ).
fof(f21,plain,
n1 = join(xx,zz),
inference(reorient_equations,[],[f20]) ).
fof(f22,axiom,
meet(xx,yy) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs3) ).
fof(f23,plain,
n0 = meet(xx,yy),
inference(reorient_equations,[],[f22]) ).
fof(f24,axiom,
meet(xx,zz) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs4) ).
fof(f25,plain,
n0 = meet(xx,zz),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
yy != zz,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rhs) ).
fof(f41,plain,
! [X0] : meet(n1,X0) = X0,
inference(superposition,[],[f14,f5]) ).
fof(f59,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f134,plain,
! [X0] : join(X0,n0) = meet(join(X0,xx),join(X0,yy)),
inference(superposition,[],[f9,f23]) ).
fof(f135,plain,
! [X0] : join(X0,n0) = meet(join(X0,xx),join(X0,zz)),
inference(superposition,[],[f9,f25]) ).
fof(f155,plain,
! [X0] : meet(join(X0,xx),join(X0,zz)) = X0,
inference(forward_demodulation,[],[f135,f13]) ).
fof(f156,plain,
! [X0] : meet(join(X0,xx),join(X0,yy)) = X0,
inference(forward_demodulation,[],[f134,f13]) ).
fof(f228,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(meet(X0,X1),X0),join(meet(X0,X1),X2)),
inference(superposition,[],[f9,f10]) ).
fof(f232,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X0,X1)),
inference(superposition,[],[f6,f10]) ).
fof(f235,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(meet(X0,X2),X0),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f232,f9]) ).
fof(f237,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X0,meet(X0,X1)),join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f228,f6]) ).
fof(f263,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X0,meet(X0,X2)),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f235,f6]) ).
fof(f265,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(meet(join(X0,X0),join(X0,X1)),join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f237,f9]) ).
fof(f284,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(meet(join(X0,X0),join(X0,X2)),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f263,f9]) ).
fof(f286,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X0,X0),meet(join(X0,X1),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f265,f7]) ).
fof(f304,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X0,X0),meet(join(X0,X2),join(meet(X0,X2),X1))),
inference(forward_demodulation,[],[f284,f7]) ).
fof(f306,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,meet(join(X0,X1),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f286,f2]) ).
fof(f322,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,meet(join(X0,X2),join(meet(X0,X2),X1))),
inference(forward_demodulation,[],[f304,f2]) ).
fof(f324,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f306,f59]) ).
fof(f335,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f322,f59]) ).
fof(f532,plain,
! [X0] : meet(join(xx,X0),join(X0,zz)) = X0,
inference(superposition,[],[f155,f6]) ).
fof(f591,plain,
! [X0] : meet(join(xx,X0),join(X0,yy)) = X0,
inference(superposition,[],[f156,f6]) ).
fof(f956,plain,
yy = meet(n1,join(yy,zz)),
inference(superposition,[],[f532,f19]) ).
fof(f1001,plain,
yy = join(yy,zz),
inference(forward_demodulation,[],[f956,f41]) ).
fof(f1821,plain,
zz = meet(n1,join(zz,yy)),
inference(superposition,[],[f591,f21]) ).
fof(f1870,plain,
zz = meet(n1,join(meet(n1,yy),zz)),
inference(forward_demodulation,[],[f1821,f335]) ).
fof(f1880,plain,
zz = meet(n1,join(yy,zz)),
inference(forward_demodulation,[],[f1870,f324]) ).
fof(f1889,plain,
zz = join(yy,zz),
inference(forward_demodulation,[],[f1880,f41]) ).
fof(f1892,plain,
yy = zz,
inference(forward_demodulation,[],[f1889,f1001]) ).
fof(f1894,plain,
$false,
inference(forward_subsumption_resolution,[],[f1892,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 14:03:30 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.17/0.51 % (3590786)Will run a generic schedule for satisfiability detection.
% 0.17/0.51 % (3590793)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4104440627:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.51 % (3590792)% WARNING: option uhcvi not known.
% 0.17/0.51 % (3590791)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2063273634_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.51 % (3590792)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3703881357:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.51 % (3590794)dis+10_1_sil=32000:sp=arity:random_seed=41649997:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.51 % (3590795)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3366734422:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.51 % (3590798)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1401439974:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.51 % (3590797)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1657696046:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.51 % TRYING [1]
% 0.17/0.51 % TRYING [2]
% 0.17/0.51 % TRYING [3]
% 0.17/0.51 % TRYING [4]
% 0.17/0.51 % TRYING [5]
% 0.17/0.51 % (3590797) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3590786-3590797"...
% 0.17/0.51 % (3590797)...printing done.
% 0.17/0.51 % (3590797)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (3590797)------------------------------
% 0.17/0.51 % (3590797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.51 % (3590797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.51 % (3590797)CaDiCaL version: 2.1.3
% 0.17/0.51 % (3590797)Termination reason: Refutation
% 0.17/0.51 % (3590797)Time elapsed: 0.038 s
% 0.17/0.51 % (3590797)Peak memory usage: 12 MB
% 0.17/0.51 % (3590797)Instructions burned: 66 (million)
% 0.17/0.51 % (3590786)Success in time 0.075 s
% 0.17/0.51 % Vampire exiting
%------------------------------------------------------------------------------