%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP182-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:17:05 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).
fof(f11,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).
fof(f21,negated_conjecture,
least_upper_bound(identity,greatest_lower_bound(a,identity)) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p17a) ).
fof(f22,plain,
identity != least_upper_bound(identity,greatest_lower_bound(a,identity)),
inference(reorient_equations,[],[f21]) ).
fof(f27,plain,
identity != least_upper_bound(identity,greatest_lower_bound(identity,a)),
inference(superposition,[],[f22,f5]) ).
fof(f28,plain,
$false,
inference(forward_subsumption_resolution,[],[f27,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP182-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n002.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:38:37 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
% 0.10/0.43 % (3292505)Will run a generic schedule for satisfiability detection.
% 0.10/0.43 % (3292513)% WARNING: option uhcvi not known.
% 0.10/0.43 % (3292512)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=766327194_3000 on theBenchmark for (3000ds/0Mi)
% 0.10/0.43 % (3292513)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2025438442:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.10/0.43 % (3292514)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=274830109:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.10/0.43 % (3292515)dis+10_1_sil=32000:sp=arity:random_seed=3983026039:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.10/0.43 % (3292516)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2864094890:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.10/0.43 % (3292518)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=87532183:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.10/0.43 % (3292519)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2183575002:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.10/0.43 % TRYING [1]
% 0.10/0.43 % (3292513) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3292505-3292513"...
% 0.10/0.43 % TRYING [2]
% 0.10/0.43 % (3292516) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3292505-3292516"...
% 0.10/0.43 % (3292515) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3292505-3292515"...
% 0.10/0.43 % (3292518) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3292505-3292518"...
% 0.10/0.43 % (3292519) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3292505-3292519"...
% 0.10/0.43 % (3292513)...printing done.
% 0.10/0.43 % (3292516)...printing done.
% 0.10/0.43 % TRYING [3]
% 0.10/0.43 % (3292515)...printing done.
% 0.10/0.43 % (3292518)...printing done.
% 0.10/0.43 % (3292519)...printing done.
% 0.10/0.43 % (3292516)Refutation found. Thanks to Tanya!
% 0.10/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.43 % (3292516)------------------------------
% 0.10/0.43 % (3292516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.43 % (3292516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.43 % (3292516)CaDiCaL version: 2.1.3
% 0.10/0.43 % (3292516)Termination reason: Refutation
% 0.10/0.43 % (3292516)Time elapsed: 0.001 s
% 0.10/0.43 % (3292516)Peak memory usage: 11 MB
% 0.10/0.43 % (3292516)Instructions burned: 1 (million)
% 0.10/0.43 % (3292505)Success in time 0.027 s
% 0.10/0.43 % Vampire exiting
%------------------------------------------------------------------------------