%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP165-2 : 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 : n001.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 0.43s 0.48s
% Output : Refutation 0.43s
% 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 : 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; 2 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).
fof(f17,axiom,
greatest_lower_bound(a,identity) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat1b_1) ).
fof(f18,plain,
identity = greatest_lower_bound(a,identity),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
greatest_lower_bound(a,multiply(a,a)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lat1b) ).
fof(f20,plain,
a != greatest_lower_bound(a,multiply(a,a)),
inference(reorient_equations,[],[f19]) ).
fof(f162,plain,
! [X0,X1] : multiply(greatest_lower_bound(identity,X1),X0) = greatest_lower_bound(X0,multiply(X1,X0)),
inference(superposition,[],[f16,f1]) ).
fof(f966,plain,
a != multiply(greatest_lower_bound(identity,a),a),
inference(superposition,[],[f20,f162]) ).
fof(f967,plain,
a != multiply(greatest_lower_bound(a,identity),a),
inference(forward_demodulation,[],[f966,f5]) ).
fof(f974,plain,
a != multiply(identity,a),
inference(forward_demodulation,[],[f967,f18]) ).
fof(f978,plain,
$false,
inference(forward_subsumption_resolution,[],[f974,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP165-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:40:15 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 0.43/0.48 % (3298457)Will run a generic schedule for satisfiability detection.
% 0.43/0.48 % (3298464)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=605136855:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.43/0.48 % (3298463)% WARNING: option uhcvi not known.
% 0.43/0.48 % (3298462)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2780122435_2999 on theBenchmark for (2999ds/0Mi)
% 0.43/0.48 % (3298468)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=126255297:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.43/0.48 % (3298467)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4187548723:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.43/0.48 % (3298465)dis+10_1_sil=32000:sp=arity:random_seed=312139327:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.43/0.48 % (3298466)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=944447925:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.43/0.48 % TRYING [1]
% 0.43/0.48 % (3298463)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=110361834:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.43/0.48 % TRYING [2]
% 0.43/0.48 % TRYING [3]
% 0.43/0.48 % TRYING [4]
% 0.43/0.48 % (3298463) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3298457-3298463"...
% 0.43/0.48 % (3298463)...printing done.
% 0.43/0.48 % (3298463)Refutation found. Thanks to Tanya!
% 0.43/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.43/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.43/0.48 % (3298463)------------------------------
% 0.43/0.48 % (3298463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.48 % (3298463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.48 % (3298463)CaDiCaL version: 2.1.3
% 0.43/0.48 % (3298463)Termination reason: Refutation
% 0.43/0.48 % (3298463)Time elapsed: 0.025 s
% 0.43/0.48 % (3298463)Peak memory usage: 12 MB
% 0.43/0.48 % (3298463)Instructions burned: 39 (million)
% 0.43/0.48 % (3298457)Success in time 0.063 s
% 0.43/0.48 % Vampire exiting
%------------------------------------------------------------------------------