TSTP Solution File: MGT018+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT018+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 : n027.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 09:07:20 EDT 2023
% Result : Theorem 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 54 ( 15 unt; 17 typ; 0 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 264 ( 101 ~; 93 |; 64 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 8 >; 13 *; 0 +; 0 <<)
% 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 : 125 ( 1 sgn; 67 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
organization: ( $i * $i ) > $o ).
tff(decl_23,type,
inertia: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
class: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
size: ( $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,
reorganization_type: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_30,type,
esk2_0: $i ).
tff(decl_31,type,
esk3_0: $i ).
tff(decl_32,type,
esk4_0: $i ).
tff(decl_33,type,
esk5_0: $i ).
tff(decl_34,type,
esk6_0: $i ).
tff(decl_35,type,
esk7_0: $i ).
tff(decl_36,type,
esk8_0: $i ).
tff(decl_37,type,
esk9_0: $i ).
tff(decl_38,type,
esk10_0: $i ).
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(t18_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)
& size(X1,X6,X13)
& size(X4,X7,X13)
& greater(X7,X6) )
=> greater(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_FOL) ).
fof(a5_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)
& size(X1,X6,X10)
& size(X4,X7,X11)
& inertia(X1,X8,X10)
& inertia(X4,X9,X11)
& greater(X7,X6) )
=> greater(X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_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)
& size(X1,X6,X13)
& size(X4,X7,X13)
& greater(X7,X6) )
=> greater(X14,X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t18_FOL])]) ).
fof(c_0_6,hypothesis,
! [X28,X29,X30,X31,X32,X33,X34,X35,X36] :
( ~ organization(X28,X34)
| ~ organization(X29,X34)
| organization(X29,X36)
| ~ class(X28,X31,X34)
| ~ class(X29,X31,X34)
| ~ reorganization(X28,X34,X35)
| ~ reorganization(X29,X34,X36)
| ~ reorganization_type(X28,X30,X34)
| ~ reorganization_type(X29,X30,X34)
| ~ inertia(X28,X32,X34)
| ~ inertia(X29,X33,X34)
| ~ greater(X33,X32)
| greater(X35,X36) ),
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)
& size(esk2_0,esk6_0,esk8_0)
& size(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])])]) ).
cnf(c_0_8,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_9,negated_conjecture,
reorganization_type(esk3_0,esk4_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
organization(esk3_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,hypothesis,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ~ organization(X19,X26)
| ~ organization(X20,X27)
| ~ class(X19,X21,X26)
| ~ class(X20,X21,X27)
| ~ size(X19,X22,X26)
| ~ size(X20,X23,X27)
| ~ inertia(X19,X24,X26)
| ~ inertia(X20,X25,X27)
| ~ greater(X23,X22)
| greater(X25,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a5_FOL])]) ).
cnf(c_0_12,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_8,c_0_9]),c_0_10])]) ).
cnf(c_0_13,negated_conjecture,
reorganization_type(esk2_0,esk4_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
organization(esk2_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,hypothesis,
( greater(X9,X8)
| ~ organization(X1,X2)
| ~ organization(X3,X4)
| ~ class(X1,X5,X2)
| ~ class(X3,X5,X4)
| ~ size(X1,X6,X2)
| ~ size(X3,X7,X4)
| ~ inertia(X1,X8,X2)
| ~ inertia(X3,X9,X4)
| ~ greater(X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
size(esk3_0,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,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_12,c_0_13]),c_0_14])]) ).
cnf(c_0_18,negated_conjecture,
reorganization(esk3_0,esk8_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
~ organization(esk3_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( greater(X1,X2)
| ~ greater(esk7_0,X3)
| ~ size(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_15,c_0_16]),c_0_10])]) ).
cnf(c_0_21,negated_conjecture,
class(esk3_0,esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_22,plain,
! [X16,X17] :
( ~ organization(X16,X17)
| inertia(X16,esk1_2(X16,X17),X17) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp5])])]) ).
cnf(c_0_23,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_17,c_0_18]),c_0_19]) ).
cnf(c_0_24,negated_conjecture,
reorganization(esk2_0,esk8_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,negated_conjecture,
~ greater(esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,negated_conjecture,
( greater(X1,X2)
| ~ greater(esk7_0,X3)
| ~ size(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_20,c_0_21]) ).
cnf(c_0_27,plain,
( inertia(X1,esk1_2(X1,X2),X2)
| ~ organization(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,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_23,c_0_24]),c_0_25]) ).
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(esk1_2(esk3_0,esk8_0),X1)
| ~ greater(esk7_0,X2)
| ~ size(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_26,c_0_27]),c_0_10])]) ).
cnf(c_0_31,negated_conjecture,
size(esk2_0,esk6_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
greater(esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,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_28,c_0_29]),c_0_21])]) ).
cnf(c_0_34,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_29]),c_0_14])]) ).
cnf(c_0_35,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_33,c_0_27]),c_0_10])]),c_0_34]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT018+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
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 06:58:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.58 % Version : CSE_E---1.5
% 0.19/0.58 % Problem : theBenchmark.p
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
% 0.19/0.58 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.008000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.011000 s
%------------------------------------------------------------------------------