%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT048+1 : TPTP v9.3.1. Released v2.4.0.
% 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 12:02:42 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 94 ( 17 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 101 ( 39 ~; 33 |; 19 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 55 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(f7,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) )
& ( ( smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& internal_friction(X0,X2) = internal_friction(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(f8,axiom,
! [X0,X1,X2] :
( organization(X0)
=> stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_12) ).
fof(f10,conjecture,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_5) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| X0 = X1 )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f13,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( ( greater(capability(X0,X2),capability(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( capability(X0,X2) = capability(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( ( greater(capability(X0,X2),capability(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( capability(X0,X2) = capability(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f20,plain,
! [X0,X1,X2] :
( greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] :
( greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
? [X0,X1,X2] :
( ~ smaller(capability(X0,X2),capability(X0,X1))
& organization(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f23,plain,
? [X0,X1,X2] :
( ~ smaller(capability(X0,X2),capability(X0,X1))
& organization(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f22]) ).
fof(f25,plain,
( ~ smaller(capability(sK0,sK2),capability(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)],[f23]) ).
fof(f26,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f38,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f25]) ).
fof(f39,plain,
organization(sK0),
inference(cnf_transformation,[],[f25]) ).
fof(f40,plain,
~ smaller(capability(sK0,sK2),capability(sK0,sK1)),
inference(cnf_transformation,[],[f25]) ).
fof(f42,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(equality_resolution,[],[f26]) ).
fof(f53,plain,
! [X0,X1] : stock_of_knowledge(sK0,X0) = stock_of_knowledge(sK0,X1),
inference(resolution,[],[f36,f39]) ).
fof(f58,plain,
! [X0,X1] :
( ~ greater(age(sK0,X0),age(sK0,X1))
| greater(internal_friction(sK0,X0),internal_friction(sK0,X1)) ),
inference(resolution,[],[f37,f39]) ).
fof(f59,plain,
greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1)),
inference(resolution,[],[f58,f38]) ).
fof(f65,plain,
! [X0,X1] :
( ~ greater(internal_friction(sK0,X0),internal_friction(sK0,X1))
| ~ smaller_or_equal(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1))
| smaller(capability(sK0,X0),capability(sK0,X1)) ),
inference(resolution,[],[f34,f39]) ).
fof(f71,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| smaller(capability(sK0,sK2),capability(sK0,sK1)) ),
inference(resolution,[],[f65,f59]) ).
fof(f73,plain,
~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f71,f40]) ).
fof(f75,plain,
! [X0] : ~ smaller_or_equal(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,sK1)),
inference(superposition,[],[f73,f53]) ).
fof(f83,plain,
$false,
inference(resolution,[],[f75,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT048+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 17:33:45 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.45 % (3826643)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3826653)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1762524412:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (3826653) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3826643-3826653"...
% 0.11/0.45 % (3826653)...printing done.
% 0.11/0.45 % (3826653)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3826653)------------------------------
% 0.11/0.45 % (3826653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3826653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3826653)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3826653)Termination reason: Refutation
% 0.11/0.45 % (3826653)Time elapsed: 0.002 s
% 0.11/0.45 % (3826653)Peak memory usage: 11 MB
% 0.11/0.45 % (3826653)Instructions burned: 3 (million)
% 0.11/0.45 % (3826643)Success in time 0.03 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------