%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP152-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 10:16:58 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 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 : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).
fof(f6,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
fof(f11,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).
fof(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
fof(f17,negated_conjecture,
least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_lub3a) ).
fof(f18,plain,
least_upper_bound(a,b) != least_upper_bound(b,least_upper_bound(a,b)),
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
least_upper_bound(b,a) != least_upper_bound(b,least_upper_bound(b,a)),
inference(superposition,[],[f18,f6]) ).
fof(f22,plain,
! [X0,X1] : least_upper_bound(X1,greatest_lower_bound(X0,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f32,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(least_upper_bound(X0,X1),X0),
inference(superposition,[],[f22,f12]) ).
fof(f34,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X0,X1)),
inference(forward_demodulation,[],[f32,f6]) ).
fof(f51,plain,
least_upper_bound(b,a) != least_upper_bound(b,a),
inference(superposition,[],[f19,f34]) ).
fof(f54,plain,
$false,
inference(trivial_inequality_removal,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP152-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:36:08 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.46 % (2077240)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (2077250)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4105399917:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (2077245)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3305354646_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (2077249)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1199073183:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (2077251)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=121492308:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (2077247)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=580761063:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (2077248)dis+10_1_sil=32000:sp=arity:random_seed=1992214494:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % TRYING [2]
% 0.11/0.46 % (2077247) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2077240-2077247"...
% 0.11/0.46 % (2077251) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2077240-2077251"...
% 0.11/0.46 % TRYING [3]
% 0.11/0.46 % (2077247)...printing done.
% 0.11/0.46 % (2077251)...printing done.
% 0.11/0.46 % (2077247)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (2077247)------------------------------
% 0.11/0.46 % (2077247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (2077247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (2077247)CaDiCaL version: 2.1.3
% 0.11/0.46 % (2077247)Termination reason: Refutation
% 0.11/0.46 % (2077247)Time elapsed: 0.003 s
% 0.11/0.46 % (2077247)Peak memory usage: 11 MB
% 0.11/0.46 % (2077247)Instructions burned: 3 (million)
% 0.11/0.46 % (2077240)Success in time 0.038 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------