%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT013+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 02:11:17 PM UTC 2026
% Result : Theorem 3.75s 1.09s
% Output : Proof 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 68 ( 17 unt; 0 def)
% Number of atoms : 245 ( 31 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 312 ( 135 ~; 123 |; 46 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 141 ( 1 sgn 86 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,hypothesis,
! [X,C1,C2,T1,T2] :
( ( greater(T2,T1)
& complexity(X,C2,T2)
& complexity(X,C1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> ~ greater(C1,C2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_FOL) ).
fof(f7_nnf,plain,
! [X,C1,C2,T1,T2] :
( ~ greater(C1,C2)
| ~ greater(T2,T1)
| ~ complexity(X,C2,T2)
| ~ complexity(X,C1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,T1,T2,C1,C2] :
( ~ greater(C1,C2)
| ~ greater(T2,T1)
| ~ complexity(X,C2,T2)
| ~ complexity(X,C1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ greater(X1,X2)
| ~ greater(X4,X3)
| ~ complexity(X0,X2,X4)
| ~ complexity(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f8,conjecture,
! [X,C1,C2,S1,S2,T1,T2] :
( ( greater(C2,C1)
& size(X,S2,T2)
& size(X,S1,T1)
& complexity(X,C2,T2)
& complexity(X,C1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> ~ greater(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL) ).
fof(f8_neg,negated_conjecture,
~ ! [X,C1,C2,S1,S2,T1,T2] :
( ( greater(C2,C1)
& size(X,S2,T2)
& size(X,S1,T1)
& complexity(X,C2,T2)
& complexity(X,C1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> ~ greater(S1,S2) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f8_nnf,plain,
? [X,C1,C2,S1,S2,T1,T2] :
( greater(S1,S2)
& greater(C2,C1)
& size(X,S2,T2)
& size(X,S1,T1)
& complexity(X,C2,T2)
& complexity(X,C1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f8_neg]) ).
fof(f8_sk,plain,
( greater(sk3,sk4)
& greater(sk2,sk1)
& size(sk0,sk4,sk6)
& size(sk0,sk3,sk5)
& complexity(sk0,sk2,sk6)
& complexity(sk0,sk1,sk5)
& reorganization_free(sk0,sk5,sk6)
& organization(sk0,sk6)
& organization(sk0,sk5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4,sk5,sk6])],[f8_nnf]) ).
cnf(c9,plain,
organization(sk0,sk6),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p74,plain,
( ~ greater(X1,X2)
| ~ greater(X0,sk6)
| ~ complexity(sk0,X2,X0)
| ~ complexity(sk0,X1,sk6)
| ~ reorganization_free(sk0,sk6,X0)
| ~ organization(sk0,X0) ),
inference(resolution,[status(thm)],[c7,c9]) ).
cnf(c8,plain,
organization(sk0,sk5),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p82,plain,
( ~ greater(X0,X1)
| ~ greater(sk5,sk6)
| ~ complexity(sk0,X1,sk5)
| ~ complexity(sk0,X0,sk6)
| ~ reorganization_free(sk0,sk6,sk5) ),
inference(resolution,[status(thm)],[p74,c8]) ).
fof(f4,axiom,
! [X,T1,T2] :
( reorganization_free(X,T1,T2)
=> reorganization_free(X,T2,T1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp17) ).
fof(f4_nnf,plain,
! [X,T1,T2] :
( reorganization_free(X,T2,T1)
| ~ reorganization_free(X,T1,T2) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,T1,T2] :
( reorganization_free(X,T2,T1)
| ~ reorganization_free(X,T1,T2) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( reorganization_free(X0,X2,X1)
| ~ reorganization_free(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(c10,plain,
reorganization_free(sk0,sk5,sk6),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p24,plain,
reorganization_free(sk0,sk6,sk5),
inference(resolution,[status(thm)],[c4,c10]) ).
cnf(p85,plain,
( ~ greater(X0,X1)
| ~ greater(sk5,sk6)
| ~ complexity(sk0,X1,sk5)
| ~ complexity(sk0,X0,sk6) ),
inference(resolution,[status(thm)],[p82,p24]) ).
cnf(c12,plain,
complexity(sk0,sk2,sk6),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p86,plain,
( ~ greater(sk2,X0)
| ~ greater(sk5,sk6)
| ~ complexity(sk0,X0,sk5) ),
inference(resolution,[status(thm)],[p85,c12]) ).
cnf(c11,plain,
complexity(sk0,sk1,sk5),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p87,plain,
( ~ greater(sk2,sk1)
| ~ greater(sk5,sk6) ),
inference(resolution,[status(thm)],[p86,c11]) ).
fof(f6,hypothesis,
! [X,S1,S2,T1,T2] :
( ( greater(T2,T1)
& size(X,S2,T2)
& size(X,S1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> ~ greater(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL) ).
fof(f6_nnf,plain,
! [X,S1,S2,T1,T2] :
( ~ greater(S1,S2)
| ~ greater(T2,T1)
| ~ size(X,S2,T2)
| ~ size(X,S1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,T1,T2,S1,S2] :
( ~ greater(S1,S2)
| ~ greater(T2,T1)
| ~ size(X,S2,T2)
| ~ size(X,S1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ greater(X1,X2)
| ~ greater(X4,X3)
| ~ size(X0,X2,X4)
| ~ size(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p50,plain,
( ~ greater(X1,X2)
| ~ greater(X0,sk5)
| ~ size(sk0,X2,X0)
| ~ size(sk0,X1,sk5)
| ~ reorganization_free(sk0,sk5,X0)
| ~ organization(sk0,X0) ),
inference(resolution,[status(thm)],[c6,c8]) ).
cnf(p53,plain,
( ~ greater(X0,X1)
| ~ greater(sk6,sk5)
| ~ size(sk0,X1,sk6)
| ~ size(sk0,X0,sk5)
| ~ reorganization_free(sk0,sk5,sk6) ),
inference(resolution,[status(thm)],[p50,c9]) ).
cnf(p56,plain,
( ~ greater(X0,X1)
| ~ greater(sk6,sk5)
| ~ size(sk0,X1,sk6)
| ~ size(sk0,X0,sk5) ),
inference(resolution,[status(thm)],[p53,c10]) ).
cnf(c13,plain,
size(sk0,sk3,sk5),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p57,plain,
( ~ greater(sk3,X0)
| ~ greater(sk6,sk5)
| ~ size(sk0,X0,sk6) ),
inference(resolution,[status(thm)],[p56,c13]) ).
cnf(c14,plain,
size(sk0,sk4,sk6),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p58,plain,
( ~ greater(sk3,sk4)
| ~ greater(sk6,sk5) ),
inference(resolution,[status(thm)],[p57,c14]) ).
fof(f3,axiom,
! [T1,T2] :
( ( time(T2)
& time(T1) )
=> ( greater(T2,T1)
| T1 = T2
| greater(T1,T2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp16) ).
fof(f3_nnf,plain,
! [T1,T2] :
( greater(T2,T1)
| T1 = T2
| greater(T1,T2)
| ~ time(T2)
| ~ time(T1) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [T1,T2] :
( greater(T2,T1)
| T1 = T2
| greater(T1,T2)
| ~ time(T2)
| ~ time(T1) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( greater(X1,X0)
| X0 = X1
| greater(X0,X1)
| ~ time(X1)
| ~ time(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f2,axiom,
! [X,T] :
( organization(X,T)
=> time(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp15) ).
fof(f2_nnf,plain,
! [X,T] :
( time(T)
| ~ organization(X,T) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,T] :
( time(T)
| ~ organization(X,T) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( time(X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p17,plain,
time(sk5),
inference(resolution,[status(thm)],[c2,c8]) ).
cnf(p25,plain,
( greater(X0,sk5)
| sk5 = X0
| greater(sk5,X0)
| ~ time(X0) ),
inference(resolution,[status(thm)],[c3,p17]) ).
cnf(p18,plain,
time(sk6),
inference(resolution,[status(thm)],[c2,c9]) ).
cnf(p27,plain,
( greater(sk6,sk5)
| sk5 = sk6
| greater(sk5,sk6) ),
inference(resolution,[status(thm)],[p25,p18]) ).
cnf(p59,plain,
( sk5 = sk6
| greater(sk5,sk6)
| ~ greater(sk3,sk4) ),
inference(resolution,[status(thm)],[p58,p27]) ).
cnf(c16,plain,
greater(sk3,sk4),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p61,plain,
( sk5 = sk6
| greater(sk5,sk6) ),
inference(resolution,[status(thm)],[p59,c16]) ).
cnf(p88,plain,
( sk5 = sk6
| ~ greater(sk2,sk1) ),
inference(resolution,[status(thm)],[p87,p61]) ).
cnf(c15,plain,
greater(sk2,sk1),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p90,plain,
sk5 = sk6,
inference(resolution,[status(thm)],[p88,c15]) ).
fof(f5,axiom,
! [X,C1,C2,T1,T2] :
( ( T1 = T2
& complexity(X,C2,T2)
& complexity(X,C1,T1)
& organization(X,T2)
& organization(X,T1) )
=> C1 = C2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp18) ).
fof(f5_nnf,plain,
! [X,C1,C2,T1,T2] :
( C1 = C2
| T1 != T2
| ~ complexity(X,C2,T2)
| ~ complexity(X,C1,T1)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,T1,T2,C1,C2] :
( C1 = C2
| T1 != T2
| ~ complexity(X,C2,T2)
| ~ complexity(X,C1,T1)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( X1 = X2
| X3 != X4
| ~ complexity(X0,X2,X4)
| ~ complexity(X0,X1,X3)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p32,plain,
( X1 = X2
| sk5 != X0
| ~ complexity(sk0,X2,X0)
| ~ complexity(sk0,X1,sk5)
| ~ organization(sk0,X0) ),
inference(resolution,[status(thm)],[c5,c8]) ).
cnf(p36,plain,
( X0 = X1
| sk5 != sk6
| ~ complexity(sk0,X1,sk6)
| ~ complexity(sk0,X0,sk5) ),
inference(resolution,[status(thm)],[p32,c9]) ).
cnf(p39,plain,
( sk1 = X0
| sk5 != sk6
| ~ complexity(sk0,X0,sk6) ),
inference(resolution,[status(thm)],[p36,c11]) ).
cnf(p40,plain,
( sk1 = sk2
| sk5 != sk6 ),
inference(resolution,[status(thm)],[p39,c12]) ).
cnf(p94,plain,
sk1 = sk2,
inference(resolution,[status(thm)],[p90,p40]) ).
cnf(p102,plain,
greater(sk1,sk1),
inference(superposition,[status(thm)],[p94,c15]) ).
fof(f0,axiom,
! [X,Y] :
~ ( X = Y
& greater(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1) ).
fof(f0_nnf,plain,
! [X,Y] :
( X != Y
| ~ greater(X,Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( X != Y
| ~ greater(X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( X0 != X1
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p19,plain,
~ greater(X0,X0),
inference(equality_resolution,[status(thm)],[c0]) ).
cnf(p104,plain,
$false,
inference(resolution,[status(thm)],[p102,p19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT013+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 00:55:00 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.75/1.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.75/1.09 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------