%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n008.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 : Fri Sep 25 02:11:48 PM UTC 2026
% Result : Theorem 6.61s 16.55s
% Output : Proof 6.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 65 ( 17 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 61 ( 27 ~; 17 |; 11 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 47 ( 0 sgn 30 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(external_ties(X,T),external_ties(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8) ).
fof(f7_nnf,plain,
! [X,T0,T] :
( greater(external_ties(X,T),external_ties(X,T0))
| ~ greater(age(X,T),age(X,T0))
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,T,T0] :
( greater(external_ties(X,T),external_ties(X,T0))
| ~ greater(age(X,T),age(X,T0))
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c13,plain,
( greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi12,axiom,
ifeq(organization(X0),true,ifeq(greater(age(X0,X1),age(X0,X2)),true,greater(external_ties(X0,X1),external_ties(X0,X2)),true),true) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
fof(f8,conjecture,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(position(X,T),position(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4) ).
fof(f8_neg,negated_conjecture,
~ ! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(position(X,T),position(X,T0)) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f8_nnf,plain,
? [X,T0,T] :
( ~ greater(position(X,T),position(X,T0))
& greater(age(X,T),age(X,T0))
& organization(X) ),
inference(nnf_transformation,[status(thm)],[f8_neg]) ).
fof(f8_sk,plain,
( ~ greater(position(sk0,sk2),position(sk0,sk1))
& greater(age(sk0,sk2),age(sk0,sk1))
& organization(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f8_nnf]) ).
cnf(c14,plain,
organization(sk0),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi13,negated_conjecture,
organization(sk0) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(c15,plain,
greater(age(sk0,sk2),age(sk0,sk1)),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi14,negated_conjecture,
greater(age(sk0,sk2),age(sk0,sk1)) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(h432,plain,
greater(external_ties(sk0,sk2),external_ties(sk0,sk1)) = true,
inference(hyper_resolution,[status(thm)],[hi12,hi13,hi14]) ).
fof(f6,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( external_ties(X,T) = external_ties(X,T0)
=> position(X,T) = position(X,T0) )
& ( greater(external_ties(X,T),external_ties(X,T0))
=> greater(position(X,T),position(X,T0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(f6_nnf,plain,
! [X,T0,T] :
( ( ( position(X,T) = position(X,T0)
| external_ties(X,T) != external_ties(X,T0) )
& ( greater(position(X,T),position(X,T0))
| ~ greater(external_ties(X,T),external_ties(X,T0)) ) )
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,T,T0] :
( ( ( position(X,T) = position(X,T0)
| external_ties(X,T) != external_ties(X,T0) )
& ( greater(position(X,T),position(X,T0))
| ~ greater(external_ties(X,T),external_ties(X,T0)) ) )
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c11,plain,
( greater(position(X0,X2),position(X0,X1))
| ~ greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(hi10,axiom,
ifeq(organization(X0),true,ifeq(greater(external_ties(X0,X1),external_ties(X0,X2)),true,greater(position(X0,X1),position(X0,X2)),true),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h763,plain,
greater(position(sk0,sk2),position(sk0,sk1)) = true,
inference(hyper_resolution,[status(thm)],[hi10,hi13,h432]) ).
cnf(c16,plain,
~ greater(position(sk0,sk2),position(sk0,sk1)),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi16,negated_conjecture,
ifeq(greater(position(sk0,sk2),position(sk0,sk1)),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi16,h763]) ).
cnf(t260,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f3,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
fof(f3_nnf,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c8,plain,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c8,c16]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t260]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/15.60 % Computer : n008.cluster.edu
% 0.10/15.60 % Model : x86_64 x86_64
% 0.10/15.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.60 % Memory : 8046.5625MB
% 0.10/15.60 % OS : Linux 6.8.0-71-generic
% 0.10/15.60 % CPULimit : 300
% 0.10/15.60 % WCLimit : 300
% 0.10/15.60 % DateTime : Thu Sep 24 01:12:11 UTC 2026
% 0.10/15.60 % CPUTime :
% 0.10/15.60 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.61/16.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.61/16.55 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------