%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP576-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:18:08 AM UTC 2026
% Result : Unsatisfiable 0.28s 0.48s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 43 unt; 0 def)
% Number of atoms : 43 ( 42 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f7,plain,
double_divide(double_divide(b,a),identity) != double_divide(double_divide(a,b),identity),
inference(definition_unfolding,[],[f5,f2,f2]) ).
fof(f10,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f12,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f10,f6]) ).
fof(f13,plain,
! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f10]) ).
fof(f16,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f12]) ).
fof(f18,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f16,f10]) ).
fof(f27,plain,
! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),X0),identity),
inference(forward_demodulation,[],[f13,f18]) ).
fof(f30,plain,
! [X0] : double_divide(double_divide(X0,identity),X0) = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,identity)),
inference(superposition,[],[f10,f27]) ).
fof(f33,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f27]) ).
fof(f34,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity) = X0,
inference(forward_demodulation,[],[f33,f18]) ).
fof(f36,plain,
! [X0] : double_divide(double_divide(X0,identity),X0) = double_divide(double_divide(identity,identity),identity),
inference(forward_demodulation,[],[f30,f18]) ).
fof(f38,plain,
! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f36,f18]) ).
fof(f39,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f38,f18]) ).
fof(f63,plain,
! [X0] : identity = double_divide(X0,double_divide(identity,double_divide(double_divide(X0,identity),identity))),
inference(superposition,[],[f39,f34]) ).
fof(f67,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X0),
inference(superposition,[],[f6,f34]) ).
fof(f68,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,X0),X0)),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f34]) ).
fof(f69,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,X0),X0)),identity) = X1,
inference(forward_demodulation,[],[f68,f18]) ).
fof(f129,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f67]) ).
fof(f130,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity))),identity) = X1,
inference(forward_demodulation,[],[f129,f18]) ).
fof(f142,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),X0)),identity) = X1,
inference(forward_demodulation,[],[f130,f34]) ).
fof(f299,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(superposition,[],[f142,f39]) ).
fof(f306,plain,
! [X0,X1] : identity = double_divide(X0,double_divide(X1,double_divide(double_divide(X0,identity),X1))),
inference(superposition,[],[f39,f142]) ).
fof(f329,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(double_divide(X0,identity),identity)),
inference(superposition,[],[f299,f34]) ).
fof(f339,plain,
! [X0] : identity = double_divide(X0,double_divide(identity,X0)),
inference(superposition,[],[f63,f299]) ).
fof(f340,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(superposition,[],[f34,f299]) ).
fof(f366,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(forward_demodulation,[],[f329,f299]) ).
fof(f412,plain,
! [X0] : double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),identity),identity) = X0,
inference(superposition,[],[f142,f339]) ).
fof(f418,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f412,f299]) ).
fof(f426,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(superposition,[],[f340,f69]) ).
fof(f905,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,identity),identity),X0)),identity),identity) = X1,
inference(superposition,[],[f142,f306]) ).
fof(f917,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,identity),identity),X0)),identity)) = X1,
inference(forward_demodulation,[],[f905,f366]) ).
fof(f940,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(X1,identity),identity),X0)) = X1,
inference(forward_demodulation,[],[f917,f418]) ).
fof(f950,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(identity,double_divide(X1,identity)),X0)) = X1,
inference(forward_demodulation,[],[f940,f366]) ).
fof(f955,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f950,f418]) ).
fof(f961,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f955,f426]) ).
fof(f1365,plain,
double_divide(double_divide(a,b),identity) != double_divide(double_divide(a,b),identity),
inference(superposition,[],[f7,f961]) ).
fof(f1366,plain,
$false,
inference(trivial_inequality_removal,[],[f1365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP576-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n005.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 10:07:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.28/0.48 % (3768181)Will run a generic schedule for satisfiability detection.
% 0.28/0.48 % (3768187)% WARNING: option uhcvi not known.
% 0.28/0.48 % (3768187)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2525084367:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.28/0.48 % (3768186)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3345478190_2999 on theBenchmark for (2999ds/0Mi)
% 0.28/0.48 % (3768188)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4159450327:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.28/0.48 % (3768189)dis+10_1_sil=32000:sp=arity:random_seed=2875922427:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.28/0.48 % (3768192)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1884052593:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.28/0.48 % (3768191)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1690509751:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.28/0.48 % TRYING [1]
% 0.28/0.48 % TRYING [2]
% 0.28/0.48 % TRYING [3]
% 0.28/0.48 % TRYING [4]
% 0.28/0.48 % TRYING [5]
% 0.28/0.48 % (3768190)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=142534096:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.28/0.48 % (3768188) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3768181-3768188"...
% 0.28/0.48 % (3768188)...printing done.
% 0.28/0.48 % TRYING [6]
% 0.28/0.48 % (3768188)Refutation found. Thanks to Tanya!
% 0.28/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.28/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/0.48 % (3768188)------------------------------
% 0.28/0.48 % (3768188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.48 % (3768188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.48 % (3768188)CaDiCaL version: 2.1.3
% 0.28/0.48 % (3768188)Termination reason: Refutation
% 0.28/0.48 % (3768188)Time elapsed: 0.027 s
% 0.28/0.48 % (3768188)Peak memory usage: 12 MB
% 0.28/0.48 % (3768188)Instructions burned: 45 (million)
% 0.28/0.48 % (3768181)Success in time 0.069 s
% 0.28/0.48 % Vampire exiting
%------------------------------------------------------------------------------