%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP166-4 : 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 : n005.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 10:17:00 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% 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 : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
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(f16,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).
fof(f19,axiom,
greatest_lower_bound(b,identity) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lat3b_2) ).
fof(f20,plain,
identity = greatest_lower_bound(b,identity),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
greatest_lower_bound(a,multiply(b,a)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lat3b) ).
fof(f22,plain,
a != greatest_lower_bound(a,multiply(b,a)),
inference(reorient_equations,[],[f21]) ).
fof(f24,plain,
identity = greatest_lower_bound(identity,b),
inference(superposition,[],[f5,f20]) ).
fof(f144,plain,
! [X0,X1] : multiply(greatest_lower_bound(identity,X1),X0) = greatest_lower_bound(X0,multiply(X1,X0)),
inference(superposition,[],[f16,f1]) ).
fof(f1073,plain,
a != multiply(greatest_lower_bound(identity,b),a),
inference(superposition,[],[f22,f144]) ).
fof(f1074,plain,
a != multiply(identity,a),
inference(forward_demodulation,[],[f1073,f24]) ).
fof(f1080,plain,
$false,
inference(forward_subsumption_resolution,[],[f1074,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP166-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n005.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 09:34:32 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.19/0.50 % (3737555)Will run a generic schedule for satisfiability detection.
% 0.19/0.50 % (3737560)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=203775998_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.50 % TRYING [1]
% 0.19/0.50 % TRYING [2]
% 0.19/0.50 % TRYING [3]
% 0.19/0.50 % (3737561)% WARNING: option uhcvi not known.
% 0.19/0.50 % TRYING [4]
% 0.19/0.50 % (3737563)dis+10_1_sil=32000:sp=arity:random_seed=361881528:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.50 % (3737561)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=216659424:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.50 % (3737565)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=710057457:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.50 % (3737562)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4035841769:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.50 % (3737564)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1066297506:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.50 % (3737566)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1132009281:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.50 % TRYING [5]
% 0.19/0.50 % (3737561) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3737555-3737561"...
% 0.19/0.50 % (3737561)...printing done.
% 0.19/0.50 % (3737561)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (3737561)------------------------------
% 0.19/0.50 % (3737561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.50 % (3737561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.50 % (3737561)CaDiCaL version: 2.1.3
% 0.19/0.50 % (3737561)Termination reason: Refutation
% 0.19/0.50 % (3737561)Time elapsed: 0.026 s
% 0.19/0.50 % (3737561)Peak memory usage: 12 MB
% 0.19/0.50 % (3737561)Instructions burned: 44 (million)
% 0.19/0.50 % (3737555)Success in time 0.06 s
% 0.19/0.50 % Vampire exiting
%------------------------------------------------------------------------------