%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT004+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 : n017.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 04:47:03 PM UTC 2026
% Result : Theorem 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 13 unt; 0 def)
% Number of atoms : 275 ( 0 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 383 ( 156 ~; 168 |; 52 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 169 ( 14 sgn 69 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a6_FOL,hypothesis,
! [X1,X6,X7,X8,X9,X12,X13,X14,X15] :
( ( organization(X1,X12)
& organization(X1,X13)
& reorganization(X1,X14,X15)
& reliability(X1,X6,X12)
& reliability(X1,X7,X13)
& accountability(X1,X8,X12)
& accountability(X1,X9,X13)
& ~ greater(X14,X12)
& greater(X13,X12)
& ~ greater(X13,X15) )
=> ( greater(X6,X7)
& greater(X8,X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL) ).
fof(t4_FOL,conjecture,
! [X1,X10,X11,X12,X13,X14,X15] :
( ( organization(X1,X12)
& organization(X1,X13)
& reorganization(X1,X14,X15)
& survival_chance(X1,X10,X12)
& survival_chance(X1,X11,X13)
& ~ greater(X14,X12)
& greater(X13,X12)
& ~ greater(X13,X15) )
=> greater(X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL) ).
fof(mp2,axiom,
! [X1,X2] :
( organization(X1,X2)
=> ? [X4] : accountability(X1,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2) ).
fof(mp1,axiom,
! [X1,X2] :
( organization(X1,X2)
=> ? [X3] : reliability(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1) ).
fof(a1_FOL,hypothesis,
! [X1,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( organization(X1,X12)
& organization(X5,X13)
& reliability(X1,X6,X12)
& reliability(X5,X7,X13)
& accountability(X1,X8,X12)
& accountability(X5,X9,X13)
& survival_chance(X1,X10,X12)
& survival_chance(X5,X11,X13)
& greater(X7,X6)
& greater(X9,X8) )
=> greater(X11,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_FOL) ).
fof(c_0_5,hypothesis,
! [X1,X6,X7,X8,X9,X12,X13,X14,X15] :
( ( organization(X1,X12)
& organization(X1,X13)
& reorganization(X1,X14,X15)
& reliability(X1,X6,X12)
& reliability(X1,X7,X13)
& accountability(X1,X8,X12)
& accountability(X1,X9,X13)
& ~ greater(X14,X12)
& greater(X13,X12)
& ~ greater(X13,X15) )
=> ( greater(X6,X7)
& greater(X8,X9) ) ),
inference(fof_simplification,[status(thm)],[a6_FOL]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X10,X11,X12,X13,X14,X15] :
( ( organization(X1,X12)
& organization(X1,X13)
& reorganization(X1,X14,X15)
& survival_chance(X1,X10,X12)
& survival_chance(X1,X11,X13)
& ~ greater(X14,X12)
& greater(X13,X12)
& ~ greater(X13,X15) )
=> greater(X10,X11) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t4_FOL])]) ).
fof(c_0_7,hypothesis,
! [X64,X65,X66,X67,X68,X69,X70,X71,X72] :
( ( greater(X65,X66)
| ~ organization(X64,X69)
| ~ organization(X64,X70)
| ~ reorganization(X64,X71,X72)
| ~ reliability(X64,X65,X69)
| ~ reliability(X64,X66,X70)
| ~ accountability(X64,X67,X69)
| ~ accountability(X64,X68,X70)
| greater(X71,X69)
| ~ greater(X70,X69)
| greater(X70,X72) )
& ( greater(X67,X68)
| ~ organization(X64,X69)
| ~ organization(X64,X70)
| ~ reorganization(X64,X71,X72)
| ~ reliability(X64,X65,X69)
| ~ reliability(X64,X66,X70)
| ~ accountability(X64,X67,X69)
| ~ accountability(X64,X68,X70)
| greater(X71,X69)
| ~ greater(X70,X69)
| greater(X70,X72) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,negated_conjecture,
( organization(esk3_0,esk6_0)
& organization(esk3_0,esk7_0)
& reorganization(esk3_0,esk8_0,esk9_0)
& survival_chance(esk3_0,esk4_0,esk6_0)
& survival_chance(esk3_0,esk5_0,esk7_0)
& ~ greater(esk8_0,esk6_0)
& greater(esk7_0,esk6_0)
& ~ greater(esk7_0,esk9_0)
& ~ greater(esk4_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_9,hypothesis,
( greater(X1,X2)
| greater(X6,X4)
| greater(X5,X7)
| ~ organization(X3,X4)
| ~ organization(X3,X5)
| ~ reorganization(X3,X6,X7)
| ~ reliability(X3,X8,X4)
| ~ reliability(X3,X9,X5)
| ~ accountability(X3,X1,X4)
| ~ accountability(X3,X2,X5)
| ~ greater(X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
reorganization(esk3_0,esk8_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X51,X52] :
( ~ organization(X51,X52)
| accountability(X51,esk2_2(X51,X52),X52) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp2])])]) ).
cnf(c_0_12,negated_conjecture,
( greater(X1,esk9_0)
| greater(esk8_0,X2)
| greater(X3,X4)
| ~ greater(X1,X2)
| ~ accountability(esk3_0,X4,X1)
| ~ accountability(esk3_0,X3,X2)
| ~ reliability(esk3_0,X5,X1)
| ~ reliability(esk3_0,X6,X2)
| ~ organization(esk3_0,X1)
| ~ organization(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( accountability(X1,esk2_2(X1,X2),X2)
| ~ organization(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( greater(X1,esk2_2(esk3_0,X2))
| greater(esk8_0,X3)
| greater(X2,esk9_0)
| ~ greater(X2,X3)
| ~ accountability(esk3_0,X1,X3)
| ~ reliability(esk3_0,X4,X2)
| ~ reliability(esk3_0,X5,X3)
| ~ organization(esk3_0,X2)
| ~ organization(esk3_0,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_15,plain,
! [X48,X49] :
( ~ organization(X48,X49)
| reliability(X48,esk1_2(X48,X49),X49) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp1])])]) ).
cnf(c_0_16,negated_conjecture,
( greater(esk2_2(esk3_0,X1),esk2_2(esk3_0,X2))
| greater(X2,esk9_0)
| greater(esk8_0,X1)
| ~ greater(X2,X1)
| ~ reliability(esk3_0,X3,X2)
| ~ reliability(esk3_0,X4,X1)
| ~ organization(esk3_0,X2)
| ~ organization(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_17,plain,
( reliability(X1,esk1_2(X1,X2),X2)
| ~ organization(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,hypothesis,
! [X54,X55,X56,X57,X58,X59,X60,X61,X62,X63] :
( ~ organization(X54,X62)
| ~ organization(X55,X63)
| ~ reliability(X54,X56,X62)
| ~ reliability(X55,X57,X63)
| ~ accountability(X54,X58,X62)
| ~ accountability(X55,X59,X63)
| ~ survival_chance(X54,X60,X62)
| ~ survival_chance(X55,X61,X63)
| ~ greater(X57,X56)
| ~ greater(X59,X58)
| greater(X61,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_FOL])]) ).
cnf(c_0_19,negated_conjecture,
( greater(esk2_2(esk3_0,X1),esk2_2(esk3_0,X2))
| greater(esk8_0,X1)
| greater(X2,esk9_0)
| ~ greater(X2,X1)
| ~ reliability(esk3_0,X3,X1)
| ~ organization(esk3_0,X2)
| ~ organization(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,hypothesis,
( greater(X1,X2)
| greater(X6,X4)
| greater(X5,X7)
| ~ organization(X3,X4)
| ~ organization(X3,X5)
| ~ reorganization(X3,X6,X7)
| ~ reliability(X3,X1,X4)
| ~ reliability(X3,X2,X5)
| ~ accountability(X3,X8,X4)
| ~ accountability(X3,X9,X5)
| ~ greater(X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,hypothesis,
( greater(X10,X9)
| ~ organization(X1,X2)
| ~ organization(X3,X4)
| ~ reliability(X1,X5,X2)
| ~ reliability(X3,X6,X4)
| ~ accountability(X1,X7,X2)
| ~ accountability(X3,X8,X4)
| ~ survival_chance(X1,X9,X2)
| ~ survival_chance(X3,X10,X4)
| ~ greater(X6,X5)
| ~ greater(X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
survival_chance(esk3_0,esk4_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,negated_conjecture,
organization(esk3_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,negated_conjecture,
( greater(esk2_2(esk3_0,X1),esk2_2(esk3_0,X2))
| greater(X2,esk9_0)
| greater(esk8_0,X1)
| ~ greater(X2,X1)
| ~ organization(esk3_0,X2)
| ~ organization(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
organization(esk3_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
~ greater(esk7_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( greater(X1,esk9_0)
| greater(esk8_0,X2)
| greater(X3,X4)
| ~ greater(X1,X2)
| ~ accountability(esk3_0,X5,X1)
| ~ accountability(esk3_0,X6,X2)
| ~ reliability(esk3_0,X4,X1)
| ~ reliability(esk3_0,X3,X2)
| ~ organization(esk3_0,X1)
| ~ organization(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_28,negated_conjecture,
( greater(esk4_0,X1)
| ~ greater(X2,X3)
| ~ greater(X4,X5)
| ~ survival_chance(X6,X1,X7)
| ~ accountability(esk3_0,X2,esk6_0)
| ~ accountability(X6,X3,X7)
| ~ reliability(esk3_0,X4,esk6_0)
| ~ reliability(X6,X5,X7)
| ~ organization(X6,X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_29,negated_conjecture,
( greater(esk2_2(esk3_0,X1),esk2_2(esk3_0,esk7_0))
| greater(esk8_0,X1)
| ~ greater(esk7_0,X1)
| ~ organization(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
greater(esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,negated_conjecture,
~ greater(esk8_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,negated_conjecture,
( greater(esk8_0,X1)
| greater(X2,esk9_0)
| greater(X3,X4)
| ~ greater(X2,X1)
| ~ accountability(esk3_0,X5,X1)
| ~ reliability(esk3_0,X4,X2)
| ~ reliability(esk3_0,X3,X1)
| ~ organization(esk3_0,X2)
| ~ organization(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_13]) ).
cnf(c_0_33,negated_conjecture,
( greater(esk4_0,X1)
| ~ greater(esk2_2(esk3_0,esk6_0),X2)
| ~ greater(X3,X4)
| ~ survival_chance(X5,X1,X6)
| ~ accountability(X5,X2,X6)
| ~ reliability(esk3_0,X3,esk6_0)
| ~ reliability(X5,X4,X6)
| ~ organization(X5,X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_13]),c_0_23])]) ).
cnf(c_0_34,negated_conjecture,
greater(esk2_2(esk3_0,esk6_0),esk2_2(esk3_0,esk7_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_23])]),c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( greater(X1,esk9_0)
| greater(esk8_0,X2)
| greater(X3,X4)
| ~ greater(X1,X2)
| ~ reliability(esk3_0,X4,X1)
| ~ reliability(esk3_0,X3,X2)
| ~ organization(esk3_0,X1)
| ~ organization(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_13]) ).
cnf(c_0_36,negated_conjecture,
( greater(esk4_0,X1)
| ~ greater(X2,X3)
| ~ survival_chance(X4,X1,X5)
| ~ accountability(X4,esk2_2(esk3_0,esk7_0),X5)
| ~ reliability(esk3_0,X2,esk6_0)
| ~ reliability(X4,X3,X5)
| ~ organization(X4,X5) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( greater(X1,esk1_2(esk3_0,X2))
| greater(esk8_0,X3)
| greater(X2,esk9_0)
| ~ greater(X2,X3)
| ~ reliability(esk3_0,X1,X3)
| ~ organization(esk3_0,X2)
| ~ organization(esk3_0,X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_17]) ).
cnf(c_0_38,negated_conjecture,
( greater(esk4_0,X1)
| ~ greater(X2,X3)
| ~ survival_chance(esk3_0,X1,esk7_0)
| ~ reliability(esk3_0,X2,esk6_0)
| ~ reliability(esk3_0,X3,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_13]),c_0_25])]) ).
cnf(c_0_39,negated_conjecture,
survival_chance(esk3_0,esk5_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,negated_conjecture,
~ greater(esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,negated_conjecture,
( greater(esk1_2(esk3_0,X1),esk1_2(esk3_0,X2))
| greater(X2,esk9_0)
| greater(esk8_0,X1)
| ~ greater(X2,X1)
| ~ organization(esk3_0,X2)
| ~ organization(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_17]) ).
cnf(c_0_42,negated_conjecture,
( ~ greater(X1,X2)
| ~ reliability(esk3_0,X1,esk6_0)
| ~ reliability(esk3_0,X2,esk7_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( greater(esk1_2(esk3_0,X1),esk1_2(esk3_0,esk7_0))
| greater(esk8_0,X1)
| ~ greater(esk7_0,X1)
| ~ organization(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_25]),c_0_26]) ).
cnf(c_0_44,negated_conjecture,
( ~ greater(esk1_2(esk3_0,esk6_0),X1)
| ~ reliability(esk3_0,X1,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_17]),c_0_23])]) ).
cnf(c_0_45,negated_conjecture,
greater(esk1_2(esk3_0,esk6_0),esk1_2(esk3_0,esk7_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_30]),c_0_23])]),c_0_31]) ).
cnf(c_0_46,negated_conjecture,
~ reliability(esk3_0,esk1_2(esk3_0,esk7_0),esk7_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_17]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT004+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:23:57 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Theorem for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------