%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP145-1 : 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 : 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 10:16:57 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).
fof(f10,axiom,
! [X0] : greatest_lower_bound(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',idempotence_of_gld) ).
fof(f17,negated_conjecture,
greatest_lower_bound(greatest_lower_bound(a,b),b) != greatest_lower_bound(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_glb3b) ).
fof(f18,plain,
greatest_lower_bound(a,b) != greatest_lower_bound(greatest_lower_bound(a,b),b),
inference(reorient_equations,[],[f17]) ).
fof(f55,plain,
greatest_lower_bound(a,b) != greatest_lower_bound(a,greatest_lower_bound(b,b)),
inference(superposition,[],[f18,f7]) ).
fof(f58,plain,
greatest_lower_bound(a,b) != greatest_lower_bound(a,b),
inference(forward_demodulation,[],[f55,f10]) ).
fof(f59,plain,
$false,
inference(trivial_inequality_removal,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP145-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:36:21 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.19/0.48 % (3287135)Will run a generic schedule for satisfiability detection.
% 0.19/0.48 % (3287149)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1949438168_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.48 % TRYING [1]
% 0.19/0.48 % TRYING [2]
% 0.19/0.48 % TRYING [3]
% 0.19/0.48 % (3287150)% WARNING: option uhcvi not known.
% 0.19/0.48 % TRYING [4]
% 0.19/0.48 % (3287150)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1626046473:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.48 % (3287153)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3744960608:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.48 % (3287151)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3754021785:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.48 % (3287152)dis+10_1_sil=32000:sp=arity:random_seed=1856442886:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.48 % (3287154)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2312178086:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.48 % (3287155)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3861003146:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.48 % (3287150) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3287135-3287150"...
% 0.19/0.48 % (3287152) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3287135-3287152"...
% 0.19/0.48 % (3287153) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3287135-3287153"...
% 0.19/0.48 % (3287154) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3287135-3287154"...
% 0.19/0.48 % (3287155) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3287135-3287155"...
% 0.19/0.48 % (3287151) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3287135-3287151"...
% 0.19/0.48 % (3287150)...printing done.
% 0.19/0.48 % (3287152)...printing done.
% 0.19/0.48 % (3287153)...printing done.
% 0.19/0.48 % (3287154)...printing done.
% 0.19/0.48 % (3287155)...printing done.
% 0.19/0.48 % (3287151)...printing done.
% 0.19/0.48 % (3287150)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (3287150)------------------------------
% 0.19/0.48 % (3287150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.48 % (3287150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.48 % (3287150)CaDiCaL version: 2.1.3
% 0.19/0.48 % (3287150)Termination reason: Refutation
% 0.19/0.48 % (3287150)Time elapsed: 0.003 s
% 0.19/0.48 % (3287150)Peak memory usage: 11 MB
% 0.19/0.48 % (3287150)Instructions burned: 2 (million)
% 0.19/0.48 % (3287135)Success in time 0.046 s
% 0.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------