TSTP Solution File: MGT004+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT004+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 : Thu Aug 31 09:07:12 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 59 ( 10 unt; 15 typ; 0 def)
% Number of atoms : 286 ( 0 equ)
% Maximal formula atoms : 22 ( 6 avg)
% Number of connectives : 406 ( 164 ~; 183 |; 52 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 8 >; 12 *; 0 +; 0 <<)
% 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 : 174 ( 14 sgn; 69 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
organization: ( $i * $i ) > $o ).
tff(decl_23,type,
reliability: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
accountability: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
survival_chance: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
greater: ( $i * $i ) > $o ).
tff(decl_27,type,
reorganization: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_29,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_30,type,
esk3_0: $i ).
tff(decl_31,type,
esk4_0: $i ).
tff(decl_32,type,
esk5_0: $i ).
tff(decl_33,type,
esk6_0: $i ).
tff(decl_34,type,
esk7_0: $i ).
tff(decl_35,type,
esk8_0: $i ).
tff(decl_36,type,
esk9_0: $i ).
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(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(mp1,axiom,
! [X1,X2] :
( organization(X1,X2)
=> ? [X3] : reliability(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1) ).
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,
! [X32,X33,X34,X35,X36,X37,X38,X39,X40] :
( ( greater(X33,X34)
| ~ organization(X32,X37)
| ~ organization(X32,X38)
| ~ reorganization(X32,X39,X40)
| ~ reliability(X32,X33,X37)
| ~ reliability(X32,X34,X38)
| ~ accountability(X32,X35,X37)
| ~ accountability(X32,X36,X38)
| greater(X39,X37)
| ~ greater(X38,X37)
| greater(X38,X40) )
& ( greater(X35,X36)
| ~ organization(X32,X37)
| ~ organization(X32,X38)
| ~ reorganization(X32,X39,X40)
| ~ reliability(X32,X33,X37)
| ~ reliability(X32,X34,X38)
| ~ accountability(X32,X35,X37)
| ~ accountability(X32,X36,X38)
| greater(X39,X37)
| ~ greater(X38,X37)
| greater(X38,X40) ) ),
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,
! [X19,X20] :
( ~ organization(X19,X20)
| accountability(X19,esk2_2(X19,X20),X20) ),
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]) ).
fof(c_0_14,hypothesis,
! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31] :
( ~ organization(X22,X30)
| ~ organization(X23,X31)
| ~ reliability(X22,X24,X30)
| ~ reliability(X23,X25,X31)
| ~ accountability(X22,X26,X30)
| ~ accountability(X23,X27,X31)
| ~ survival_chance(X22,X28,X30)
| ~ survival_chance(X23,X29,X31)
| ~ greater(X25,X24)
| ~ greater(X27,X26)
| greater(X29,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_FOL])]) ).
cnf(c_0_15,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_16,plain,
! [X16,X17] :
( ~ organization(X16,X17)
| reliability(X16,esk1_2(X16,X17),X17) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp1])])]) ).
cnf(c_0_17,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_14]) ).
cnf(c_0_18,negated_conjecture,
survival_chance(esk3_0,esk4_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
organization(esk3_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,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_15,c_0_13]) ).
cnf(c_0_21,plain,
( reliability(X1,esk1_2(X1,X2),X2)
| ~ organization(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,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_23,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_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,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_20,c_0_21]) ).
cnf(c_0_25,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_22,c_0_10]) ).
cnf(c_0_26,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_23,c_0_13]),c_0_19])]) ).
cnf(c_0_27,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_24,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
~ greater(esk8_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,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_25,c_0_13]) ).
cnf(c_0_30,negated_conjecture,
( greater(X1,esk9_0)
| greater(esk4_0,X2)
| ~ greater(X1,esk6_0)
| ~ greater(X3,X4)
| ~ survival_chance(X5,X2,X6)
| ~ accountability(X5,esk2_2(esk3_0,X1),X6)
| ~ reliability(esk3_0,X3,esk6_0)
| ~ reliability(X5,X4,X6)
| ~ organization(esk3_0,X1)
| ~ organization(X5,X6) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_19])]),c_0_28]) ).
cnf(c_0_31,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_29,c_0_13]) ).
cnf(c_0_32,negated_conjecture,
( greater(esk4_0,X1)
| greater(X2,esk9_0)
| ~ greater(X2,esk6_0)
| ~ greater(X3,X4)
| ~ survival_chance(esk3_0,X1,X2)
| ~ reliability(esk3_0,X3,esk6_0)
| ~ reliability(esk3_0,X4,X2)
| ~ organization(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_13]) ).
cnf(c_0_33,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_31,c_0_21]) ).
cnf(c_0_34,negated_conjecture,
( greater(X1,esk9_0)
| greater(esk4_0,X2)
| ~ greater(esk1_2(esk3_0,esk6_0),X3)
| ~ greater(X1,esk6_0)
| ~ survival_chance(esk3_0,X2,X1)
| ~ reliability(esk3_0,X3,X1)
| ~ organization(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_21]),c_0_19])]) ).
cnf(c_0_35,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_33,c_0_21]) ).
cnf(c_0_36,negated_conjecture,
( greater(X1,esk9_0)
| greater(esk4_0,X2)
| greater(X3,esk9_0)
| ~ greater(X3,esk6_0)
| ~ greater(X1,esk6_0)
| ~ survival_chance(esk3_0,X2,X3)
| ~ reliability(esk3_0,esk1_2(esk3_0,X1),X3)
| ~ organization(esk3_0,X3)
| ~ organization(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_19])]),c_0_28]) ).
cnf(c_0_37,negated_conjecture,
( greater(esk4_0,X1)
| greater(X2,esk9_0)
| ~ greater(X2,esk6_0)
| ~ survival_chance(esk3_0,X1,X2)
| ~ organization(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_21]) ).
cnf(c_0_38,negated_conjecture,
survival_chance(esk3_0,esk5_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,negated_conjecture,
greater(esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,negated_conjecture,
organization(esk3_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,negated_conjecture,
~ greater(esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_42,negated_conjecture,
~ greater(esk7_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40])]),c_0_41]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT004+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:15:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.012000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.015000 s
%------------------------------------------------------------------------------