TSTP Solution File: MGT007+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT007+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 : 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 : Thu Aug 31 09:07:14 EDT 2023
% Result : Theorem 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 60 ( 10 unt; 16 typ; 0 def)
% Number of atoms : 306 ( 0 equ)
% Maximal formula atoms : 31 ( 6 avg)
% Number of connectives : 444 ( 182 ~; 201 |; 53 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 9 >; 13 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 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,
reproducibility: ( $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_2: ( $i * $i ) > $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 ).
tff(decl_37,type,
esk10_0: $i ).
fof(a6_FOL,hypothesis,
! [X1,X8,X9,X10,X11,X6,X7,X14,X15] :
( ( organization(X1,X6)
& organization(X1,X7)
& reorganization(X1,X14,X15)
& reliability(X1,X8,X6)
& reliability(X1,X9,X7)
& accountability(X1,X10,X6)
& accountability(X1,X11,X7)
& ~ greater(X14,X6)
& greater(X7,X6)
& ~ greater(X7,X15) )
=> ( greater(X8,X9)
& greater(X10,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL) ).
fof(t7_FOL,conjecture,
! [X1,X12,X13,X6,X7,X14,X15] :
( ( organization(X1,X6)
& organization(X1,X7)
& reorganization(X1,X14,X15)
& reproducibility(X1,X12,X6)
& reproducibility(X1,X13,X7)
& ~ greater(X14,X6)
& greater(X7,X6)
& ~ greater(X7,X15) )
=> greater(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL) ).
fof(mp2,axiom,
! [X1,X2] :
( organization(X1,X2)
=> ? [X4] : accountability(X1,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2) ).
fof(a2_FOL,hypothesis,
! [X1,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( organization(X1,X6)
& organization(X5,X7)
& reliability(X1,X8,X6)
& reliability(X5,X9,X7)
& accountability(X1,X10,X6)
& accountability(X5,X11,X7)
& reproducibility(X1,X12,X6)
& reproducibility(X5,X13,X7) )
=> ( greater(X13,X12)
<=> ( greater(X9,X8)
& greater(X11,X10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_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,X8,X9,X10,X11,X6,X7,X14,X15] :
( ( organization(X1,X6)
& organization(X1,X7)
& reorganization(X1,X14,X15)
& reliability(X1,X8,X6)
& reliability(X1,X9,X7)
& accountability(X1,X10,X6)
& accountability(X1,X11,X7)
& ~ greater(X14,X6)
& greater(X7,X6)
& ~ greater(X7,X15) )
=> ( greater(X8,X9)
& greater(X10,X11) ) ),
inference(fof_simplification,[status(thm)],[a6_FOL]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X12,X13,X6,X7,X14,X15] :
( ( organization(X1,X6)
& organization(X1,X7)
& reorganization(X1,X14,X15)
& reproducibility(X1,X12,X6)
& reproducibility(X1,X13,X7)
& ~ greater(X14,X6)
& greater(X7,X6)
& ~ greater(X7,X15) )
=> greater(X12,X13) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t7_FOL])]) ).
fof(c_0_7,hypothesis,
! [X35,X36,X37,X38,X39,X40,X41,X42,X43] :
( ( greater(X36,X37)
| ~ organization(X35,X40)
| ~ organization(X35,X41)
| ~ reorganization(X35,X42,X43)
| ~ reliability(X35,X36,X40)
| ~ reliability(X35,X37,X41)
| ~ accountability(X35,X38,X40)
| ~ accountability(X35,X39,X41)
| greater(X42,X40)
| ~ greater(X41,X40)
| greater(X41,X43) )
& ( greater(X38,X39)
| ~ organization(X35,X40)
| ~ organization(X35,X41)
| ~ reorganization(X35,X42,X43)
| ~ reliability(X35,X36,X40)
| ~ reliability(X35,X37,X41)
| ~ accountability(X35,X38,X40)
| ~ accountability(X35,X39,X41)
| greater(X42,X40)
| ~ greater(X41,X40)
| greater(X41,X43) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,negated_conjecture,
( organization(esk4_0,esk7_0)
& organization(esk4_0,esk8_0)
& reorganization(esk4_0,esk9_0,esk10_0)
& reproducibility(esk4_0,esk5_0,esk7_0)
& reproducibility(esk4_0,esk6_0,esk8_0)
& ~ greater(esk9_0,esk7_0)
& greater(esk8_0,esk7_0)
& ~ greater(esk8_0,esk10_0)
& ~ greater(esk5_0,esk6_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(esk4_0,esk9_0,esk10_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,esk10_0)
| greater(esk9_0,X2)
| greater(X3,X4)
| ~ greater(X1,X2)
| ~ accountability(esk4_0,X4,X1)
| ~ accountability(esk4_0,X3,X2)
| ~ reliability(esk4_0,X5,X1)
| ~ reliability(esk4_0,X6,X2)
| ~ organization(esk4_0,X1)
| ~ organization(esk4_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,
! [X25,X26,X27,X28,X29,X30,X31,X32,X33,X34] :
( ( greater(X30,X29)
| ~ greater(X34,X33)
| ~ organization(X25,X27)
| ~ organization(X26,X28)
| ~ reliability(X25,X29,X27)
| ~ reliability(X26,X30,X28)
| ~ accountability(X25,X31,X27)
| ~ accountability(X26,X32,X28)
| ~ reproducibility(X25,X33,X27)
| ~ reproducibility(X26,X34,X28) )
& ( greater(X32,X31)
| ~ greater(X34,X33)
| ~ organization(X25,X27)
| ~ organization(X26,X28)
| ~ reliability(X25,X29,X27)
| ~ reliability(X26,X30,X28)
| ~ accountability(X25,X31,X27)
| ~ accountability(X26,X32,X28)
| ~ reproducibility(X25,X33,X27)
| ~ reproducibility(X26,X34,X28) )
& ( ~ greater(X30,X29)
| ~ greater(X32,X31)
| greater(X34,X33)
| ~ organization(X25,X27)
| ~ organization(X26,X28)
| ~ reliability(X25,X29,X27)
| ~ reliability(X26,X30,X28)
| ~ accountability(X25,X31,X27)
| ~ accountability(X26,X32,X28)
| ~ reproducibility(X25,X33,X27)
| ~ reproducibility(X26,X34,X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_FOL])])]) ).
cnf(c_0_15,negated_conjecture,
( greater(X1,esk2_2(esk4_0,X2))
| greater(esk9_0,X3)
| greater(X2,esk10_0)
| ~ greater(X2,X3)
| ~ accountability(esk4_0,X1,X3)
| ~ reliability(esk4_0,X4,X2)
| ~ reliability(esk4_0,X5,X3)
| ~ organization(esk4_0,X2)
| ~ organization(esk4_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(X5,X6)
| ~ greater(X1,X2)
| ~ greater(X3,X4)
| ~ organization(X7,X8)
| ~ organization(X9,X10)
| ~ reliability(X7,X2,X8)
| ~ reliability(X9,X1,X10)
| ~ accountability(X7,X4,X8)
| ~ accountability(X9,X3,X10)
| ~ reproducibility(X7,X6,X8)
| ~ reproducibility(X9,X5,X10) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
reproducibility(esk4_0,esk5_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
organization(esk4_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
( greater(esk2_2(esk4_0,X1),esk2_2(esk4_0,X2))
| greater(X2,esk10_0)
| greater(esk9_0,X1)
| ~ greater(X2,X1)
| ~ reliability(esk4_0,X3,X2)
| ~ reliability(esk4_0,X4,X1)
| ~ organization(esk4_0,X2)
| ~ organization(esk4_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(esk5_0,X1)
| ~ greater(X2,X3)
| ~ greater(X4,X5)
| ~ reproducibility(X6,X1,X7)
| ~ accountability(esk4_0,X2,esk7_0)
| ~ accountability(X6,X3,X7)
| ~ reliability(esk4_0,X4,esk7_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(esk4_0,X1),esk2_2(esk4_0,X2))
| greater(esk9_0,X1)
| greater(X2,esk10_0)
| ~ greater(X2,X1)
| ~ reliability(esk4_0,X3,X1)
| ~ organization(esk4_0,X2)
| ~ organization(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( greater(X1,esk10_0)
| greater(esk9_0,X2)
| greater(X3,X4)
| ~ greater(X1,X2)
| ~ accountability(esk4_0,X5,X1)
| ~ accountability(esk4_0,X6,X2)
| ~ reliability(esk4_0,X4,X1)
| ~ reliability(esk4_0,X3,X2)
| ~ organization(esk4_0,X1)
| ~ organization(esk4_0,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_10]) ).
cnf(c_0_26,negated_conjecture,
( greater(esk5_0,X1)
| ~ greater(esk2_2(esk4_0,esk7_0),X2)
| ~ greater(X3,X4)
| ~ reproducibility(X5,X1,X6)
| ~ accountability(X5,X2,X6)
| ~ reliability(esk4_0,X3,esk7_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(esk4_0,X1),esk2_2(esk4_0,X2))
| greater(X2,esk10_0)
| greater(esk9_0,X1)
| ~ greater(X2,X1)
| ~ organization(esk4_0,X2)
| ~ organization(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
~ greater(esk9_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
( greater(esk9_0,X1)
| greater(X2,esk10_0)
| greater(X3,X4)
| ~ greater(X2,X1)
| ~ accountability(esk4_0,X5,X1)
| ~ reliability(esk4_0,X4,X2)
| ~ reliability(esk4_0,X3,X1)
| ~ organization(esk4_0,X2)
| ~ organization(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_13]) ).
cnf(c_0_30,negated_conjecture,
( greater(X1,esk10_0)
| greater(esk5_0,X2)
| ~ greater(X1,esk7_0)
| ~ greater(X3,X4)
| ~ reproducibility(X5,X2,X6)
| ~ accountability(X5,esk2_2(esk4_0,X1),X6)
| ~ reliability(esk4_0,X3,esk7_0)
| ~ reliability(X5,X4,X6)
| ~ organization(esk4_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,esk10_0)
| greater(esk9_0,X2)
| greater(X3,X4)
| ~ greater(X1,X2)
| ~ reliability(esk4_0,X4,X1)
| ~ reliability(esk4_0,X3,X2)
| ~ organization(esk4_0,X1)
| ~ organization(esk4_0,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_13]) ).
cnf(c_0_32,negated_conjecture,
( greater(esk5_0,X1)
| greater(X2,esk10_0)
| ~ greater(X2,esk7_0)
| ~ greater(X3,X4)
| ~ reproducibility(esk4_0,X1,X2)
| ~ reliability(esk4_0,X3,esk7_0)
| ~ reliability(esk4_0,X4,X2)
| ~ organization(esk4_0,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_13]) ).
cnf(c_0_33,negated_conjecture,
( greater(X1,esk1_2(esk4_0,X2))
| greater(esk9_0,X3)
| greater(X2,esk10_0)
| ~ greater(X2,X3)
| ~ reliability(esk4_0,X1,X3)
| ~ organization(esk4_0,X2)
| ~ organization(esk4_0,X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_34,negated_conjecture,
( greater(X1,esk10_0)
| greater(esk5_0,X2)
| ~ greater(esk1_2(esk4_0,esk7_0),X3)
| ~ greater(X1,esk7_0)
| ~ reproducibility(esk4_0,X2,X1)
| ~ reliability(esk4_0,X3,X1)
| ~ organization(esk4_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(esk4_0,X1),esk1_2(esk4_0,X2))
| greater(X2,esk10_0)
| greater(esk9_0,X1)
| ~ greater(X2,X1)
| ~ organization(esk4_0,X2)
| ~ organization(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_21]) ).
cnf(c_0_36,negated_conjecture,
( greater(X1,esk10_0)
| greater(esk5_0,X2)
| greater(X3,esk10_0)
| ~ greater(X3,esk7_0)
| ~ greater(X1,esk7_0)
| ~ reproducibility(esk4_0,X2,X3)
| ~ reliability(esk4_0,esk1_2(esk4_0,X1),X3)
| ~ organization(esk4_0,X3)
| ~ organization(esk4_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(esk5_0,X1)
| greater(X2,esk10_0)
| ~ greater(X2,esk7_0)
| ~ reproducibility(esk4_0,X1,X2)
| ~ organization(esk4_0,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_21]) ).
cnf(c_0_38,negated_conjecture,
reproducibility(esk4_0,esk6_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,negated_conjecture,
greater(esk8_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,negated_conjecture,
organization(esk4_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,negated_conjecture,
~ greater(esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_42,negated_conjecture,
~ greater(esk8_0,esk10_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
% 0.08/0.12 % Problem : MGT007+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Mon Aug 28 06:24:04 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.60 % Version : CSE_E---1.5
% 0.20/0.60 % Problem : theBenchmark.p
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark.p
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.61 % Total time : 0.023000 s
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time : 0.025000 s
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