%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 12:02:41 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 50 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 49 ( 19 ~; 13 |; 11 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( greater(external_ties(X0,X2),external_ties(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) )
& ( external_ties(X0,X2) = external_ties(X0,X1)
=> position(X0,X2) = position(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(external_ties(X0,X2),external_ties(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8) ).
fof(f9,conjecture,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(position(X0,X2),position(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(position(X0,X2),position(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( ( greater(position(X0,X2),position(X0,X1))
| ~ greater(external_ties(X0,X2),external_ties(X0,X1)) )
& ( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f17,plain,
! [X0,X1,X2] :
( greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f18,plain,
! [X0,X1,X2] :
( greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ~ greater(position(X0,X2),position(X0,X1))
& organization(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f20,plain,
? [X0,X1,X2] :
( ~ greater(position(X0,X2),position(X0,X1))
& organization(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
( ~ greater(position(sK0,sK2),position(sK0,sK1))
& organization(sK0)
& greater(age(sK0,sK2),age(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f20]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ greater(external_ties(X0,X2),external_ties(X0,X1))
| greater(position(X0,X2),position(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(external_ties(X0,X2),external_ties(X0,X1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f21]) ).
fof(f30,plain,
organization(sK0),
inference(cnf_transformation,[],[f21]) ).
fof(f31,plain,
~ greater(position(sK0,sK2),position(sK0,sK1)),
inference(cnf_transformation,[],[f21]) ).
fof(f63,plain,
( ~ organization(sK0)
| greater(external_ties(sK0,sK2),external_ties(sK0,sK1)) ),
inference(resolution,[],[f28,f29]) ).
fof(f69,plain,
greater(external_ties(sK0,sK2),external_ties(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f63,f30]) ).
fof(f70,plain,
( greater(position(sK0,sK2),position(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f69,f27]) ).
fof(f73,plain,
~ organization(sK0),
inference(forward_subsumption_resolution,[],[f70,f31]) ).
fof(f74,plain,
$false,
inference(forward_subsumption_resolution,[],[f73,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n006.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:26:26 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.17/0.47 % (3195435)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3195443)dis+10_1_sil=32000:sp=arity:random_seed=4085622177:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3195443) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3195435-3195443"...
% 0.17/0.47 % (3195443)...printing done.
% 0.17/0.47 % (3195443)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (3195443)------------------------------
% 0.17/0.47 % (3195443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3195443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3195443)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3195443)Termination reason: Refutation
% 0.17/0.47 % (3195443)Time elapsed: 0.001 s
% 0.17/0.47 % (3195443)Peak memory usage: 11 MB
% 0.17/0.47 % (3195443)Instructions burned: 2 (million)
% 0.17/0.47 % (3195435)Success in time 0.039 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------