%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP574-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f6,plain,
a2 != multiply(identity,a2),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f8,plain,
a2 != double_divide(double_divide(a2,identity),identity),
inference(definition_unfolding,[],[f6,f2]) ).
fof(f9,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X1,X0),double_divide(double_divide(X2,double_divide(double_divide(X0,double_divide(X3,X2)),double_divide(X3,identity))),identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f1]) ).
fof(f11,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f12,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity))) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f11,f7]) ).
fof(f17,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f13]) ).
fof(f19,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f17,f11]) ).
fof(f35,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity))) = double_divide(double_divide(identity,double_divide(X0,identity)),identity),
inference(forward_demodulation,[],[f12,f19]) ).
fof(f51,plain,
! [X0] : double_divide(double_divide(X0,identity),X0) = double_divide(double_divide(identity,double_divide(identity,identity)),identity),
inference(superposition,[],[f35,f11]) ).
fof(f58,plain,
! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f51,f7]) ).
fof(f67,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f58,f19]) ).
fof(f93,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,X0),double_divide(double_divide(X2,double_divide(double_divide(X0,double_divide(X3,X2)),double_divide(X3,identity))),identity))),identity) = X1,
inference(forward_demodulation,[],[f10,f19]) ).
fof(f94,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,X0),double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),identity),identity))),identity) = X1,
inference(forward_demodulation,[],[f93,f35]) ).
fof(f113,plain,
! [X2,X0] : double_divide(double_divide(X0,double_divide(double_divide(X2,identity),X0)),double_divide(identity,identity)) = X2,
inference(superposition,[],[f9,f94]) ).
fof(f123,plain,
! [X2,X0] : double_divide(double_divide(X0,double_divide(double_divide(X2,identity),X0)),identity) = X2,
inference(forward_demodulation,[],[f113,f19]) ).
fof(f221,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(superposition,[],[f123,f67]) ).
fof(f253,plain,
a2 != a2,
inference(superposition,[],[f8,f221]) ).
fof(f270,plain,
$false,
inference(trivial_inequality_removal,[],[f253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP574-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.35 % Computer : n018.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 27 10:09:24 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 0.13/0.42 % (2102980)Will run a generic schedule for satisfiability detection.
% 0.13/0.42 % (2102988)dis+10_1_sil=32000:sp=arity:random_seed=4094433712:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.13/0.42 % (2102986)% WARNING: option uhcvi not known.
% 0.13/0.42 % (2102988) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2102980-2102988"...
% 0.13/0.42 % (2102988)...printing done.
% 0.13/0.42 % (2102985)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1596516742_3000 on theBenchmark for (3000ds/0Mi)
% 0.13/0.42 % (2102986)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4249357683:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.13/0.42 % (2102987)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3175953235:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.13/0.42 % (2102988)Refutation found. Thanks to Tanya!
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.42 % (2102988)------------------------------
% 0.13/0.42 % (2102988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.42 % (2102988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.42 % (2102988)CaDiCaL version: 2.1.3
% 0.13/0.42 % (2102988)Termination reason: Refutation
% 0.13/0.42 % (2102988)Time elapsed: 0.006 s
% 0.13/0.42 % (2102988)Peak memory usage: 11 MB
% 0.13/0.42 % (2102988)Instructions burned: 13 (million)
% 0.13/0.42 % (2102980)Success in time 0.021 s
% 0.13/0.42 % Vampire exiting
%------------------------------------------------------------------------------