%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP148-1 : 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 : n026.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 0.49s 0.60s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 14 ( 14 !; 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(f6,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
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(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
fof(f17,axiom,
least_upper_bound(a,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_lub1c_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_lub1c_2) ).
fof(f20,plain,
c = least_upper_bound(b,c),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
greatest_lower_bound(least_upper_bound(a,b),c) != least_upper_bound(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_lub1c) ).
fof(f22,plain,
least_upper_bound(a,b) != greatest_lower_bound(least_upper_bound(a,b),c),
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
least_upper_bound(a,b) != greatest_lower_bound(c,least_upper_bound(a,b)),
inference(superposition,[],[f22,f5]) ).
fof(f25,plain,
c = least_upper_bound(c,a),
inference(superposition,[],[f6,f18]) ).
fof(f26,plain,
c = least_upper_bound(c,b),
inference(superposition,[],[f6,f20]) ).
fof(f37,plain,
! [X0,X1] : greatest_lower_bound(X1,least_upper_bound(X0,X1)) = X1,
inference(superposition,[],[f12,f6]) ).
fof(f1033,plain,
! [X0] : least_upper_bound(c,least_upper_bound(a,X0)) = least_upper_bound(c,X0),
inference(superposition,[],[f8,f25]) ).
fof(f1270,plain,
! [X0] : least_upper_bound(a,X0) = greatest_lower_bound(least_upper_bound(a,X0),least_upper_bound(c,X0)),
inference(superposition,[],[f37,f1033]) ).
fof(f1274,plain,
! [X0] : least_upper_bound(a,X0) = greatest_lower_bound(least_upper_bound(c,X0),least_upper_bound(a,X0)),
inference(forward_demodulation,[],[f1270,f5]) ).
fof(f3283,plain,
least_upper_bound(a,b) = greatest_lower_bound(c,least_upper_bound(a,b)),
inference(superposition,[],[f1274,f26]) ).
fof(f3323,plain,
$false,
inference(forward_subsumption_resolution,[],[f3283,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP148-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.45 % Computer : n026.cluster.edu
% 0.11/0.45 % Model : x86_64 x86_64
% 0.11/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.45 % Memory : 8046.5625MB
% 0.11/0.45 % OS : Linux 6.8.0-71-generic
% 0.11/0.45 % CPULimit : 300
% 0.11/0.45 % WCLimit : 300
% 0.11/0.45 % DateTime : Sun Sep 27 09:36:13 UTC 2026
% 0.11/0.45 % CPUTime :
% 0.11/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.49 Running first-order model finding
% 0.15/0.49 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
% 0.49/0.60 % (2574980)Will run a generic schedule for satisfiability detection.
% 0.49/0.60 % (2574989)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=953393297:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.49/0.60 % (2574986)% WARNING: option uhcvi not known.
% 0.49/0.60 % (2574985)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=605304318_2999 on theBenchmark for (2999ds/0Mi)
% 0.49/0.60 % (2574987)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2382361955:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.49/0.60 % (2574988)dis+10_1_sil=32000:sp=arity:random_seed=2020558577:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.49/0.60 % (2574991)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3526485767:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.49/0.60 % (2574990)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=227863144:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.49/0.60 % TRYING [1]
% 0.49/0.60 % TRYING [2]
% 0.49/0.60 % TRYING [3]
% 0.49/0.60 % (2574986)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3619307825:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.49/0.60 % TRYING [4]
% 0.49/0.60 % (2574989)Instruction limit reached!
% 0.49/0.60 % (2574989)------------------------------
% 0.49/0.60 % (2574989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.60 % (2574989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.60 % (2574989)CaDiCaL version: 2.1.3
% 0.49/0.60 % (2574989)Termination reason: Instruction limit
% 0.49/0.60 % (2574989)Termination phase: Saturation
% 0.49/0.60 % (2574989)Time elapsed: 0.039 s
% 0.49/0.60 % (2574989)Peak memory usage: 12 MB
% 0.49/0.60 % (2574989)Instructions burned: 119 (million)
% 0.49/0.60 % TRYING [5]
% 0.49/0.60 % (2574999)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2158565111:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.49/0.60 % TRYING [1]
% 0.49/0.60 % TRYING [2]
% 0.49/0.60 % TRYING [3]
% 0.49/0.60 % TRYING [4]
% 0.49/0.60 % (2574988)Instruction limit reached!
% 0.49/0.60 % (2574988)------------------------------
% 0.49/0.60 % (2574988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.60 % (2574988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.60 % (2574988)CaDiCaL version: 2.1.3
% 0.49/0.60 % (2574988)Termination reason: Instruction limit
% 0.49/0.60 % (2574988)Termination phase: Saturation
% 0.49/0.60 % (2574988)Time elapsed: 0.058 s
% 0.49/0.60 % (2574988)Peak memory usage: 12 MB
% 0.49/0.60 % (2574988)Instructions burned: 103 (million)
% 0.49/0.60 % (2574987) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2574980-2574987"...
% 0.49/0.60 % (2574987)...printing done.
% 0.49/0.60 % TRYING [5]
% 0.49/0.60 % (2574987)Refutation found. Thanks to Tanya!
% 0.49/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.49/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.60 % (2574987)------------------------------
% 0.49/0.60 % (2574987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.60 % (2574987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.60 % (2574987)CaDiCaL version: 2.1.3
% 0.49/0.60 % (2574987)Termination reason: Refutation
% 0.49/0.60 % (2574987)Time elapsed: 0.063 s
% 0.49/0.60 % (2574987)Peak memory usage: 12 MB
% 0.49/0.60 % (2574987)Instructions burned: 111 (million)
% 0.49/0.60 % (2574980)Success in time 0.102 s
% 0.49/0.60 % Vampire exiting
%------------------------------------------------------------------------------