%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT006+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n025.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 04:47:04 PM UTC 2026
% Result : Theorem 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 211 ( 0 equ)
% Maximal formula atoms : 31 ( 5 avg)
% Number of connectives : 299 ( 129 ~; 125 |; 39 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 139 ( 18 sgn 48 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_FOL,conjecture,
! [X1,X7,X8,X9,X10,X5,X6] :
( ( organization(X1,X5)
& organization(X1,X6)
& reorganization_free(X1,X5,X6)
& reliability(X1,X7,X5)
& reliability(X1,X8,X6)
& accountability(X1,X9,X5)
& accountability(X1,X10,X6)
& greater(X6,X5) )
=> ( greater(X8,X7)
& greater(X10,X9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL) ).
fof(a2_FOL,hypothesis,
! [X1,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( organization(X1,X5)
& organization(X4,X6)
& reliability(X1,X7,X5)
& reliability(X4,X8,X6)
& accountability(X1,X9,X5)
& accountability(X4,X10,X6)
& reproducibility(X1,X11,X5)
& reproducibility(X4,X12,X6) )
=> ( greater(X12,X11)
<=> ( greater(X8,X7)
& greater(X10,X9) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL) ).
fof(a4_FOL,hypothesis,
! [X1,X11,X12,X5,X6] :
( ( organization(X1,X5)
& organization(X1,X6)
& reorganization_free(X1,X5,X6)
& reproducibility(X1,X11,X5)
& reproducibility(X1,X12,X6)
& greater(X6,X5) )
=> greater(X12,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_FOL) ).
fof(mp3,axiom,
! [X1,X2] :
( organization(X1,X2)
=> ? [X3] : reproducibility(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X7,X8,X9,X10,X5,X6] :
( ( organization(X1,X5)
& organization(X1,X6)
& reorganization_free(X1,X5,X6)
& reliability(X1,X7,X5)
& reliability(X1,X8,X6)
& accountability(X1,X9,X5)
& accountability(X1,X10,X6)
& greater(X6,X5) )
=> ( greater(X8,X7)
& greater(X10,X9) ) ),
inference(assume_negation,[status(cth)],[t6_FOL]) ).
fof(c_0_5,hypothesis,
! [X41,X42,X43,X44,X45,X46,X47,X48,X49,X50] :
( ( greater(X46,X45)
| ~ greater(X50,X49)
| ~ organization(X41,X43)
| ~ organization(X42,X44)
| ~ reliability(X41,X45,X43)
| ~ reliability(X42,X46,X44)
| ~ accountability(X41,X47,X43)
| ~ accountability(X42,X48,X44)
| ~ reproducibility(X41,X49,X43)
| ~ reproducibility(X42,X50,X44) )
& ( greater(X48,X47)
| ~ greater(X50,X49)
| ~ organization(X41,X43)
| ~ organization(X42,X44)
| ~ reliability(X41,X45,X43)
| ~ reliability(X42,X46,X44)
| ~ accountability(X41,X47,X43)
| ~ accountability(X42,X48,X44)
| ~ reproducibility(X41,X49,X43)
| ~ reproducibility(X42,X50,X44) )
& ( ~ greater(X46,X45)
| ~ greater(X48,X47)
| greater(X50,X49)
| ~ organization(X41,X43)
| ~ organization(X42,X44)
| ~ reliability(X41,X45,X43)
| ~ reliability(X42,X46,X44)
| ~ accountability(X41,X47,X43)
| ~ accountability(X42,X48,X44)
| ~ reproducibility(X41,X49,X43)
| ~ reproducibility(X42,X50,X44) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_FOL])])]) ).
fof(c_0_6,negated_conjecture,
( organization(esk2_0,esk7_0)
& organization(esk2_0,esk8_0)
& reorganization_free(esk2_0,esk7_0,esk8_0)
& reliability(esk2_0,esk3_0,esk7_0)
& reliability(esk2_0,esk4_0,esk8_0)
& accountability(esk2_0,esk5_0,esk7_0)
& accountability(esk2_0,esk6_0,esk8_0)
& greater(esk8_0,esk7_0)
& ( ~ greater(esk4_0,esk3_0)
| ~ greater(esk6_0,esk5_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,hypothesis,
( greater(X1,X2)
| ~ greater(X3,X4)
| ~ organization(X5,X6)
| ~ organization(X7,X8)
| ~ reliability(X5,X9,X6)
| ~ reliability(X7,X10,X8)
| ~ accountability(X5,X2,X6)
| ~ accountability(X7,X1,X8)
| ~ reproducibility(X5,X4,X6)
| ~ reproducibility(X7,X3,X8) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
accountability(esk2_0,esk6_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
organization(esk2_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,hypothesis,
! [X51,X52,X53,X54,X55] :
( ~ organization(X51,X54)
| ~ organization(X51,X55)
| ~ reorganization_free(X51,X54,X55)
| ~ reproducibility(X51,X52,X54)
| ~ reproducibility(X51,X53,X55)
| ~ greater(X55,X54)
| greater(X53,X52) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a4_FOL])]) ).
cnf(c_0_11,negated_conjecture,
( greater(esk6_0,X1)
| ~ greater(X2,X3)
| ~ accountability(X4,X1,X5)
| ~ reliability(esk2_0,X6,esk8_0)
| ~ reliability(X4,X7,X5)
| ~ reproducibility(esk2_0,X2,esk8_0)
| ~ reproducibility(X4,X3,X5)
| ~ organization(X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_12,negated_conjecture,
reliability(esk2_0,esk4_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_13,plain,
! [X38,X39] :
( ~ organization(X38,X39)
| reproducibility(X38,esk1_2(X38,X39),X39) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp3])])]) ).
cnf(c_0_14,hypothesis,
( greater(X5,X4)
| ~ organization(X1,X2)
| ~ organization(X1,X3)
| ~ reorganization_free(X1,X2,X3)
| ~ reproducibility(X1,X4,X2)
| ~ reproducibility(X1,X5,X3)
| ~ greater(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
reorganization_free(esk2_0,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
greater(esk8_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
organization(esk2_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,hypothesis,
( greater(X1,X2)
| ~ greater(X3,X4)
| ~ organization(X5,X6)
| ~ organization(X7,X8)
| ~ reliability(X5,X2,X6)
| ~ reliability(X7,X1,X8)
| ~ accountability(X5,X9,X6)
| ~ accountability(X7,X10,X8)
| ~ reproducibility(X5,X4,X6)
| ~ reproducibility(X7,X3,X8) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
( greater(esk6_0,X1)
| ~ greater(X2,X3)
| ~ accountability(X4,X1,X5)
| ~ reliability(X4,X6,X5)
| ~ reproducibility(esk2_0,X2,esk8_0)
| ~ reproducibility(X4,X3,X5)
| ~ organization(X4,X5) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_20,plain,
( reproducibility(X1,esk1_2(X1,X2),X2)
| ~ organization(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( greater(X1,X2)
| ~ reproducibility(esk2_0,X1,esk8_0)
| ~ reproducibility(esk2_0,X2,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_9]),c_0_17])]) ).
cnf(c_0_22,negated_conjecture,
( greater(X1,X2)
| ~ greater(X3,X4)
| ~ accountability(X5,X6,X7)
| ~ reliability(esk2_0,X1,esk8_0)
| ~ reliability(X5,X2,X7)
| ~ reproducibility(esk2_0,X3,esk8_0)
| ~ reproducibility(X5,X4,X7)
| ~ organization(X5,X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_8]),c_0_9])]) ).
cnf(c_0_23,negated_conjecture,
( greater(esk6_0,X1)
| ~ greater(esk1_2(esk2_0,esk8_0),X2)
| ~ accountability(X3,X1,X4)
| ~ reliability(X3,X5,X4)
| ~ reproducibility(X3,X2,X4)
| ~ organization(X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_9])]) ).
cnf(c_0_24,negated_conjecture,
( greater(esk1_2(esk2_0,esk8_0),X1)
| ~ reproducibility(esk2_0,X1,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_9])]) ).
cnf(c_0_25,negated_conjecture,
( greater(esk4_0,X1)
| ~ greater(X2,X3)
| ~ accountability(X4,X5,X6)
| ~ reliability(X4,X1,X6)
| ~ reproducibility(esk2_0,X2,esk8_0)
| ~ reproducibility(X4,X3,X6)
| ~ organization(X4,X6) ),
inference(spm,[status(thm)],[c_0_22,c_0_12]) ).
cnf(c_0_26,negated_conjecture,
( greater(esk6_0,X1)
| ~ accountability(X2,X1,X3)
| ~ reliability(X2,X4,X3)
| ~ reproducibility(esk2_0,X5,esk7_0)
| ~ reproducibility(X2,X5,X3)
| ~ organization(X2,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( greater(esk4_0,X1)
| ~ greater(esk1_2(esk2_0,esk8_0),X2)
| ~ accountability(X3,X4,X5)
| ~ reliability(X3,X1,X5)
| ~ reproducibility(X3,X2,X5)
| ~ organization(X3,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_9])]) ).
cnf(c_0_28,negated_conjecture,
( greater(esk6_0,X1)
| ~ accountability(X2,X1,X3)
| ~ reliability(X2,X4,X3)
| ~ reproducibility(X2,esk1_2(esk2_0,esk7_0),X3)
| ~ organization(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_17])]) ).
cnf(c_0_29,negated_conjecture,
( greater(esk4_0,X1)
| ~ accountability(X2,X3,X4)
| ~ reliability(X2,X1,X4)
| ~ reproducibility(esk2_0,X5,esk7_0)
| ~ reproducibility(X2,X5,X4)
| ~ organization(X2,X4) ),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( greater(esk6_0,X1)
| ~ accountability(esk2_0,X1,esk7_0)
| ~ reliability(esk2_0,X2,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_17])]) ).
cnf(c_0_31,negated_conjecture,
accountability(esk2_0,esk5_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,negated_conjecture,
( greater(esk4_0,X1)
| ~ accountability(X2,X3,X4)
| ~ reliability(X2,X1,X4)
| ~ reproducibility(X2,esk1_2(esk2_0,esk7_0),X4)
| ~ organization(X2,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_20]),c_0_17])]) ).
cnf(c_0_33,negated_conjecture,
( greater(esk6_0,esk5_0)
| ~ reliability(esk2_0,X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
reliability(esk2_0,esk3_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_35,negated_conjecture,
( greater(esk4_0,X1)
| ~ accountability(esk2_0,X2,esk7_0)
| ~ reliability(esk2_0,X1,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_20]),c_0_17])]) ).
cnf(c_0_36,negated_conjecture,
( ~ greater(esk4_0,esk3_0)
| ~ greater(esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_37,negated_conjecture,
greater(esk6_0,esk5_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( greater(esk4_0,X1)
| ~ reliability(esk2_0,X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
~ greater(esk4_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT006+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n025.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:25:43 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Theorem for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------