%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP146-1 : 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 : n020.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 10:16:57 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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; 3 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).
fof(f17,axiom,
least_upper_bound(a,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_lub1a_1) ).
fof(f18,plain,
c = least_upper_bound(a,c),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
least_upper_bound(b,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_lub1a_2) ).
fof(f20,plain,
c = least_upper_bound(b,c),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
least_upper_bound(least_upper_bound(a,b),c) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_lub1a) ).
fof(f22,plain,
c != least_upper_bound(least_upper_bound(a,b),c),
inference(reorient_equations,[],[f21]) ).
fof(f673,plain,
c != least_upper_bound(a,least_upper_bound(b,c)),
inference(superposition,[],[f22,f8]) ).
fof(f690,plain,
c != least_upper_bound(a,c),
inference(superposition,[],[f673,f20]) ).
fof(f693,plain,
c != c,
inference(superposition,[],[f690,f18]) ).
fof(f694,plain,
$false,
inference(trivial_inequality_removal,[],[f693]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP146-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n020.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 09:34:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.44 Running first-order model finding
% 0.10/0.44 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
% 0.20/0.49 % (3132316)Will run a generic schedule for satisfiability detection.
% 0.20/0.49 % (3132327)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3201237632:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.49 % (3132322)% WARNING: option uhcvi not known.
% 0.20/0.49 % (3132327) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3132316-3132327"...
% 0.20/0.49 % (3132321)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1313907738_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.49 % (3132324)dis+10_1_sil=32000:sp=arity:random_seed=3303771824:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.49 % (3132323)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4211056842:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.49 % (3132326)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1269779800:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.49 % (3132325)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3418772897:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.49 % (3132322)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3882794242:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.49 % (3132327)...printing done.
% 0.20/0.49 % (3132327)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (3132327)------------------------------
% 0.20/0.49 % (3132327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.49 % (3132327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.49 % (3132327)CaDiCaL version: 2.1.3
% 0.20/0.49 % (3132327)Termination reason: Refutation
% 0.20/0.49 % (3132327)Time elapsed: 0.014 s
% 0.20/0.49 % (3132327)Peak memory usage: 11 MB
% 0.20/0.49 % (3132327)Instructions burned: 24 (million)
% 0.20/0.49 % (3132316)Success in time 0.039 s
% 0.20/0.49 % Vampire exiting
%------------------------------------------------------------------------------