%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT013+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 8 06:11:20 AM UTC 2026
% Result : Theorem 8.17s 1.47s
% Output : CNFRefutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 26 unt; 0 def)
% Number of atoms : 139 ( 9 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 146 ( 57 ~; 51 |; 30 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 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 : 62 ( 1 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_FOL,plain,
! [X,C1,C2,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& complexity(X,C1,T1)
& complexity(X,C2,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& greater(C2,C1) )
=> ~ greater(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL) ).
fof(t13_FOL_negated,plain,
~ ! [X,C1,C2,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& complexity(X,C1,T1)
& complexity(X,C2,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& greater(C2,C1) )
=> ~ greater(S1,S2) ),
inference(negate_conjecture,[status(cth)],[t13_FOL]) ).
cnf(8,plain,
organization(sK1,sK6),
inference(cnf,[status(esa)],[t13_FOL_negated]) ).
cnf(l0,plain,
organization(sK1,sK6),
inference(instantiation,[status(thm)],[8]) ).
fof(mp15,plain,
! [X,T] :
( organization(X,T)
=> time(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp15) ).
cnf(2,plain,
( ~ organization(X0,X1)
| time(X1) ),
inference(cnf,[status(esa)],[mp15]) ).
cnf(l1,plain,
( ~ organization(sK1,sK6)
| time(sK6) ),
inference(instantiation,[status(thm)],[2]) ).
fof(mp16,plain,
! [T1,T2] :
( ( time(T1)
& time(T2) )
=> ( greater(T1,T2)
| T1 = T2
| greater(T2,T1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp16) ).
cnf(3,plain,
( ~ time(X0)
| ~ time(X1)
| greater(X0,X1)
| greater(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[mp16]) ).
cnf(l14,plain,
( ~ time(sK6)
| ~ time(sK7)
| greater(sK6,sK7)
| greater(sK7,sK6)
| sK6 = sK7 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l54,plain,
( ~ organization(sK1,sK7)
| time(sK7) ),
inference(instantiation,[status(thm)],[2]) ).
fof(t11_FOL,plain,
! [X,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& greater(T2,T1) )
=> ~ greater(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL) ).
cnf(6,plain,
( ~ size(X0,X1,X2)
| ~ size(X0,X3,X4)
| ~ greater(X1,X3)
| ~ greater(X4,X2)
| ~ reorganization_free(X0,X2,X4)
| ~ organization(X0,X2)
| ~ organization(X0,X4) ),
inference(cnf,[status(esa)],[t11_FOL]) ).
cnf(l29,plain,
( ~ size(sK1,sK4,sK6)
| ~ size(sK1,sK5,sK7)
| ~ greater(sK4,sK5)
| ~ greater(sK7,sK6)
| ~ reorganization_free(sK1,sK6,sK7)
| ~ organization(sK1,sK6)
| ~ organization(sK1,sK7) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(9,plain,
organization(sK1,sK7),
inference(cnf,[status(esa)],[t13_FOL_negated]) ).
cnf(l55,plain,
organization(sK1,sK7),
inference(instantiation,[status(thm)],[9]) ).
cnf(14,plain,
size(sK1,sK5,sK7),
inference(cnf,[status(esa)],[t13_FOL_negated]) ).
cnf(l152,plain,
size(sK1,sK5,sK7),
inference(instantiation,[status(thm)],[14]) ).
cnf(l553,plain,
organization(sK1,sK7),
inference(instantiation,[status(thm)],[9]) ).
cnf(13,plain,
size(sK1,sK4,sK6),
inference(cnf,[status(esa)],[t13_FOL_negated]) ).
cnf(l150,plain,
size(sK1,sK4,sK6),
inference(instantiation,[status(thm)],[13]) ).
cnf(10,plain,
reorganization_free(sK1,sK6,sK7),
inference(cnf,[status(esa)],[t13_FOL_negated]) ).
cnf(l554,plain,
reorganization_free(sK1,sK6,sK7),
inference(instantiation,[status(thm)],[10]) ).
fof(t12_FOL,plain,
! [X,C1,C2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& complexity(X,C1,T1)
& complexity(X,C2,T2)
& greater(T2,T1) )
=> ~ greater(C1,C2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_FOL) ).
cnf(7,plain,
( ~ complexity(X0,X1,X2)
| ~ complexity(X0,X3,X4)
| ~ greater(X1,X3)
| ~ greater(X4,X2)
| ~ reorganization_free(X0,X2,X4)
| ~ organization(X0,X2)
| ~ organization(X0,X4) ),
inference(cnf,[status(esa)],[t12_FOL]) ).
cnf(l40,plain,
( ~ complexity(sK1,sK3,sK7)
| ~ complexity(sK1,sK2,sK6)
| ~ greater(sK3,sK2)
| ~ greater(sK6,sK7)
| ~ reorganization_free(sK1,sK7,sK6)
| ~ organization(sK1,sK7)
| ~ organization(sK1,sK6) ),
inference(instantiation,[status(thm)],[7]) ).
fof(mp17,plain,
! [X,T1,T2] :
( reorganization_free(X,T1,T2)
=> reorganization_free(X,T2,T1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp17) ).
cnf(4,plain,
( ~ reorganization_free(X0,X1,X2)
| reorganization_free(X0,X2,X1) ),
inference(cnf,[status(esa)],[mp17]) ).
cnf(l310,plain,
( ~ reorganization_free(sK1,sK6,sK7)
| reorganization_free(sK1,sK7,sK6) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(15,plain,
greater(sK3,sK2),
inference(cnf,[status(esa)],[t13_FOL_negated]) ).
cnf(l80,plain,
greater(sK3,sK2),
inference(instantiation,[status(thm)],[15]) ).
cnf(l311,plain,
reorganization_free(sK1,sK6,sK7),
inference(instantiation,[status(thm)],[10]) ).
cnf(12,plain,
complexity(sK1,sK3,sK7),
inference(cnf,[status(esa)],[t13_FOL_negated]) ).
cnf(l86,plain,
complexity(sK1,sK3,sK7),
inference(instantiation,[status(thm)],[12]) ).
cnf(16,plain,
greater(sK4,sK5),
inference(cnf,[status(esa)],[t13_FOL_negated]) ).
cnf(l156,plain,
greater(sK4,sK5),
inference(instantiation,[status(thm)],[16]) ).
cnf(11,plain,
complexity(sK1,sK2,sK6),
inference(cnf,[status(esa)],[t13_FOL_negated]) ).
cnf(l189,plain,
complexity(sK1,sK2,sK6),
inference(instantiation,[status(thm)],[11]) ).
cnf(l563,plain,
organization(sK1,sK7),
inference(instantiation,[status(thm)],[9]) ).
fof(mp18,plain,
! [X,C1,C2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& complexity(X,C1,T1)
& complexity(X,C2,T2)
& T1 = T2 )
=> C1 = C2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp18) ).
cnf(5,plain,
( ~ complexity(X0,X1,X2)
| ~ complexity(X0,X3,X4)
| X2 != X4
| ~ organization(X0,X2)
| ~ organization(X0,X4)
| X1 = X3 ),
inference(cnf,[status(esa)],[mp18]) ).
cnf(l544,plain,
( ~ complexity(sK1,sK3,sK6)
| ~ complexity(sK1,sK2,sK7)
| sK6 != sK7
| ~ organization(sK1,sK6)
| ~ organization(sK1,sK7)
| sK3 = sK2 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l587,plain,
organization(sK1,sK7),
inference(instantiation,[status(thm)],[9]) ).
fof(mp6_2,plain,
! [X,Y] :
~ ( greater(X,Y)
& greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2) ).
cnf(1,plain,
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf,[status(esa)],[mp6_2]) ).
cnf(l613,plain,
( ~ greater(sK2,sK2)
| ~ greater(sK2,sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l611,plain,
complexity(sK1,sK2,sK6),
inference(instantiation,[status(thm)],[11]) ).
cnf(l570,plain,
complexity(sK1,sK3,sK7),
inference(instantiation,[status(thm)],[12]) ).
cnf(l614,plain,
greater(sK3,sK2),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l14,l54,l29,l55,l152,l553,l150,l554,l40,l310,l80,l311,l86,l156,l189,l563,l544,l587,l613,l611,l570,l614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT013+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.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 : Mon Sep 7 11:51:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % launching worker at depth: 2
% 0.11/0.37 % launching worker at depth: 7
% 0.11/0.37 % launching worker at depth: 3
% 0.11/0.37 % launching worker at depth: 4
% 0.11/0.37 % launching worker at depth: 5
% 0.11/0.37 % launching worker at depth: 6
% 0.11/0.37 % launching worker at depth: 8
% 0.11/0.37 % launching worker at depth: 1
% 0.11/0.38 % launching worker at depth: 9
% 0.11/0.38 % launching worker at depth: 10
% 0.11/0.43 % launching worker at depth: 11
% 6.12/1.19 % launching worker at depth: 12
% 8.17/1.47 % SZS status Theorem for theBenchmark
% 8.17/1.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------