%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT016+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:47:07 PM UTC 2026
% Result : Theorem 1.27s 1.74s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 15 unt; 0 def)
% Number of atoms : 204 ( 0 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 270 ( 104 ~; 96 |; 64 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 127 ( 1 sgn 67 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a14_FOL,hypothesis,
! [X1,X4,X12,X5,X8,X9,X13,X14,X15] :
( ( organization(X1,X13)
& organization(X4,X13)
& ~ organization(X4,X15)
& class(X1,X5,X13)
& class(X4,X5,X13)
& reorganization(X1,X13,X14)
& reorganization(X4,X13,X15)
& reorganization_type(X1,X12,X13)
& reorganization_type(X4,X12,X13)
& inertia(X1,X8,X13)
& inertia(X4,X9,X13)
& greater(X9,X8) )
=> greater(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a14_FOL) ).
fof(t16_FOL,conjecture,
! [X1,X4,X12,X5,X6,X7,X13,X14,X15] :
( ( organization(X1,X13)
& organization(X4,X13)
& ~ organization(X4,X15)
& class(X1,X5,X13)
& class(X4,X5,X13)
& reorganization(X1,X13,X14)
& reorganization(X4,X13,X15)
& reorganization_type(X1,X12,X13)
& reorganization_type(X4,X12,X13)
& complexity(X1,X6,X13)
& complexity(X4,X7,X13)
& greater(X7,X6) )
=> greater(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL) ).
fof(a12_FOL,hypothesis,
! [X1,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( organization(X1,X10)
& organization(X4,X11)
& class(X1,X5,X10)
& class(X4,X5,X11)
& complexity(X1,X6,X10)
& complexity(X4,X7,X11)
& inertia(X1,X8,X10)
& inertia(X4,X9,X11)
& greater(X7,X6) )
=> greater(X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_FOL) ).
fof(mp5,axiom,
! [X1,X2] :
( organization(X1,X2)
=> ? [X3] : inertia(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5) ).
fof(c_0_4,hypothesis,
! [X1,X4,X12,X5,X8,X9,X13,X14,X15] :
( ( organization(X1,X13)
& organization(X4,X13)
& ~ organization(X4,X15)
& class(X1,X5,X13)
& class(X4,X5,X13)
& reorganization(X1,X13,X14)
& reorganization(X4,X13,X15)
& reorganization_type(X1,X12,X13)
& reorganization_type(X4,X12,X13)
& inertia(X1,X8,X13)
& inertia(X4,X9,X13)
& greater(X9,X8) )
=> greater(X14,X15) ),
inference(fof_simplification,[status(thm)],[a14_FOL]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X4,X12,X5,X6,X7,X13,X14,X15] :
( ( organization(X1,X13)
& organization(X4,X13)
& ~ organization(X4,X15)
& class(X1,X5,X13)
& class(X4,X5,X13)
& reorganization(X1,X13,X14)
& reorganization(X4,X13,X15)
& reorganization_type(X1,X12,X13)
& reorganization_type(X4,X12,X13)
& complexity(X1,X6,X13)
& complexity(X4,X7,X13)
& greater(X7,X6) )
=> greater(X14,X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t16_FOL])]) ).
fof(c_0_6,hypothesis,
! [X58,X59,X60,X61,X62,X63,X64,X65,X66] :
( ~ organization(X58,X64)
| ~ organization(X59,X64)
| organization(X59,X66)
| ~ class(X58,X61,X64)
| ~ class(X59,X61,X64)
| ~ reorganization(X58,X64,X65)
| ~ reorganization(X59,X64,X66)
| ~ reorganization_type(X58,X60,X64)
| ~ reorganization_type(X59,X60,X64)
| ~ inertia(X58,X62,X64)
| ~ inertia(X59,X63,X64)
| ~ greater(X63,X62)
| greater(X65,X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
fof(c_0_7,negated_conjecture,
( organization(esk2_0,esk8_0)
& organization(esk3_0,esk8_0)
& ~ organization(esk3_0,esk10_0)
& class(esk2_0,esk5_0,esk8_0)
& class(esk3_0,esk5_0,esk8_0)
& reorganization(esk2_0,esk8_0,esk9_0)
& reorganization(esk3_0,esk8_0,esk10_0)
& reorganization_type(esk2_0,esk4_0,esk8_0)
& reorganization_type(esk3_0,esk4_0,esk8_0)
& complexity(esk2_0,esk6_0,esk8_0)
& complexity(esk3_0,esk7_0,esk8_0)
& greater(esk7_0,esk6_0)
& ~ greater(esk9_0,esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,hypothesis,
! [X49,X50,X51,X52,X53,X54,X55,X56,X57] :
( ~ organization(X49,X56)
| ~ organization(X50,X57)
| ~ class(X49,X51,X56)
| ~ class(X50,X51,X57)
| ~ complexity(X49,X52,X56)
| ~ complexity(X50,X53,X57)
| ~ inertia(X49,X54,X56)
| ~ inertia(X50,X55,X57)
| ~ greater(X53,X52)
| greater(X55,X54) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a12_FOL])]) ).
cnf(c_0_9,hypothesis,
( organization(X3,X4)
| greater(X6,X4)
| ~ organization(X1,X2)
| ~ organization(X3,X2)
| ~ class(X1,X5,X2)
| ~ class(X3,X5,X2)
| ~ reorganization(X1,X2,X6)
| ~ reorganization(X3,X2,X4)
| ~ reorganization_type(X1,X7,X2)
| ~ reorganization_type(X3,X7,X2)
| ~ inertia(X1,X8,X2)
| ~ inertia(X3,X9,X2)
| ~ greater(X9,X8) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
reorganization_type(esk3_0,esk4_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
organization(esk3_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
( greater(X9,X8)
| ~ organization(X1,X2)
| ~ organization(X3,X4)
| ~ class(X1,X5,X2)
| ~ class(X3,X5,X4)
| ~ complexity(X1,X6,X2)
| ~ complexity(X3,X7,X4)
| ~ inertia(X1,X8,X2)
| ~ inertia(X3,X9,X4)
| ~ greater(X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
complexity(esk3_0,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( greater(X1,X2)
| organization(esk3_0,X2)
| ~ reorganization_type(X3,esk4_0,esk8_0)
| ~ reorganization(esk3_0,esk8_0,X2)
| ~ reorganization(X3,esk8_0,X1)
| ~ greater(X4,X5)
| ~ class(esk3_0,X6,esk8_0)
| ~ class(X3,X6,esk8_0)
| ~ inertia(esk3_0,X4,esk8_0)
| ~ inertia(X3,X5,esk8_0)
| ~ organization(X3,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_15,negated_conjecture,
reorganization_type(esk2_0,esk4_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
organization(esk2_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,negated_conjecture,
( greater(X1,X2)
| ~ greater(esk7_0,X3)
| ~ complexity(X4,X3,X5)
| ~ class(esk3_0,X6,esk8_0)
| ~ class(X4,X6,X5)
| ~ inertia(esk3_0,X1,esk8_0)
| ~ inertia(X4,X2,X5)
| ~ organization(X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_11])]) ).
cnf(c_0_18,negated_conjecture,
class(esk3_0,esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_19,plain,
! [X46,X47] :
( ~ organization(X46,X47)
| inertia(X46,esk1_2(X46,X47),X47) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp5])])]) ).
cnf(c_0_20,negated_conjecture,
( greater(X1,X2)
| organization(esk3_0,X2)
| ~ reorganization(esk3_0,esk8_0,X2)
| ~ reorganization(esk2_0,esk8_0,X1)
| ~ greater(X3,X4)
| ~ class(esk3_0,X5,esk8_0)
| ~ class(esk2_0,X5,esk8_0)
| ~ inertia(esk3_0,X3,esk8_0)
| ~ inertia(esk2_0,X4,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_21,negated_conjecture,
reorganization(esk3_0,esk8_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
~ organization(esk3_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
( greater(X1,X2)
| ~ greater(esk7_0,X3)
| ~ complexity(X4,X3,X5)
| ~ class(X4,esk5_0,X5)
| ~ inertia(esk3_0,X1,esk8_0)
| ~ inertia(X4,X2,X5)
| ~ organization(X4,X5) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( inertia(X1,esk1_2(X1,X2),X2)
| ~ organization(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( greater(X1,esk10_0)
| ~ reorganization(esk2_0,esk8_0,X1)
| ~ greater(X2,X3)
| ~ class(esk3_0,X4,esk8_0)
| ~ class(esk2_0,X4,esk8_0)
| ~ inertia(esk3_0,X2,esk8_0)
| ~ inertia(esk2_0,X3,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_26,negated_conjecture,
reorganization(esk2_0,esk8_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
~ greater(esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,negated_conjecture,
( greater(esk1_2(esk3_0,esk8_0),X1)
| ~ greater(esk7_0,X2)
| ~ complexity(X3,X2,X4)
| ~ class(X3,esk5_0,X4)
| ~ inertia(X3,X1,X4)
| ~ organization(X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_11])]) ).
cnf(c_0_29,negated_conjecture,
class(esk2_0,esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_30,negated_conjecture,
( ~ greater(X1,X2)
| ~ class(esk3_0,X3,esk8_0)
| ~ class(esk2_0,X3,esk8_0)
| ~ inertia(esk3_0,X1,esk8_0)
| ~ inertia(esk2_0,X2,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( greater(esk1_2(esk3_0,esk8_0),X1)
| ~ greater(esk7_0,X2)
| ~ complexity(esk2_0,X2,esk8_0)
| ~ inertia(esk2_0,X1,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_16])]) ).
cnf(c_0_32,negated_conjecture,
complexity(esk2_0,esk6_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,negated_conjecture,
greater(esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_34,negated_conjecture,
( ~ greater(X1,X2)
| ~ inertia(esk3_0,X1,esk8_0)
| ~ inertia(esk2_0,X2,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_18]),c_0_29])]) ).
cnf(c_0_35,negated_conjecture,
( greater(esk1_2(esk3_0,esk8_0),X1)
| ~ inertia(esk2_0,X1,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_36,negated_conjecture,
~ inertia(esk2_0,X1,esk8_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_24]),c_0_11])]),c_0_35]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_24]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : MGT016+1 : TPTP v9.2.1. Released v2.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n002.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 23:27:31 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.27/1.74 % Version : CSE_E---1.7
% 1.27/1.74 % Problem : theBenchmark.p
% 1.27/1.74 % SZS status Theorem for theBenchmark.p
% 1.27/1.74 % SZS output start CNFRefutation
% See solution above
% 1.27/1.74 % Total time : 1.377s
%------------------------------------------------------------------------------