%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP577-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 0.14s 0.45s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 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 : 6 ( 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
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(inverse(a1),a1) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f6,plain,
identity != multiply(inverse(a1),a1),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f8,plain,
identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
inference(definition_unfolding,[],[f6,f2,f3]) ).
fof(f9,plain,
identity != double_divide(identity,identity),
inference(superposition,[],[f8,f7]) ).
fof(f10,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f17,plain,
! [X0] : double_divide(double_divide(double_divide(double_divide(identity,X0),identity),identity),double_divide(identity,identity)) = X0,
inference(superposition,[],[f10,f7]) ).
fof(f20,plain,
double_divide(identity,identity) = double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),
inference(superposition,[],[f17,f7]) ).
fof(f24,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,identity),identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f20]) ).
fof(f26,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f24,f7]) ).
fof(f29,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f26]) ).
fof(f31,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,identity)),
inference(forward_demodulation,[],[f29,f26]) ).
fof(f33,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
inference(forward_demodulation,[],[f31,f7]) ).
fof(f34,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f33,f7]) ).
fof(f35,plain,
$false,
inference(forward_subsumption_resolution,[],[f34,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP577-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 % Computer : n010.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 10:07:32 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42 Running first-order model finding
% 0.14/0.42 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
% 0.14/0.45 % (726920)Will run a generic schedule for satisfiability detection.
% 0.14/0.45 % (726931)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2622958205:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.14/0.45 % (726931) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-726920-726931"...
% 0.14/0.45 % (726931)...printing done.
% 0.14/0.45 % (726931)Refutation found. Thanks to Tanya!
% 0.14/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.45 % (726931)------------------------------
% 0.14/0.45 % (726931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.45 % (726931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.45 % (726931)CaDiCaL version: 2.1.3
% 0.14/0.45 % (726931)Termination reason: Refutation
% 0.14/0.45 % (726931)Time elapsed: 0.001 s
% 0.14/0.45 % (726931)Peak memory usage: 11 MB
% 0.14/0.45 % (726931)Instructions burned: 3 (million)
% 0.14/0.45 % (726920)Success in time 0.016 s
% 0.14/0.45 % Vampire exiting
%------------------------------------------------------------------------------