%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT048+1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n020.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 04:48:19 PM UTC 2026
% Result : Theorem 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 102 ( 20 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 105 ( 33 ~; 30 |; 24 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 8 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_5,conjecture,
! [X1,X4,X5] :
( ( organization(X1)
& greater(age(X1,X5),age(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_5) ).
fof(assumption_10,axiom,
! [X1,X4,X5] :
( organization(X1)
=> stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10) ).
fof(assumption_12,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& greater(age(X1,X5),age(X1,X4)) )
=> greater(internal_friction(X1,X5),internal_friction(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(assumption_5,axiom,
! [X1,X4,X5] :
( organization(X1)
=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& greater(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) )
& ( ( stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& internal_friction(X1,X5) = internal_friction(X1,X4) )
=> capability(X1,X5) = capability(X1,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5) ).
fof(c_0_5,plain,
! [X1,X5,X4] :
( epred1_3(X4,X5,X1)
<=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& greater(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) )
& ( ( stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& internal_friction(X1,X5) = internal_friction(X1,X4) )
=> capability(X1,X5) = capability(X1,X4) ) ) ),
introduced(definition) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X4,X5] :
( ( organization(X1)
& greater(age(X1,X5),age(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) ),
inference(assume_negation,[status(cth)],[lemma_5]) ).
fof(c_0_7,plain,
! [X1,X5,X4] :
( epred1_3(X4,X5,X1)
=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& greater(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) )
& ( ( stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& internal_friction(X1,X5) = internal_friction(X1,X4) )
=> capability(X1,X5) = capability(X1,X4) ) ) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X47,X48,X49] :
( ~ organization(X47)
| stock_of_knowledge(X47,X49) = stock_of_knowledge(X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_10])]) ).
fof(c_0_9,negated_conjecture,
( organization(esk1_0)
& greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0))
& ~ smaller(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_10,plain,
! [X56,X57,X58] :
( ( ~ greater(stock_of_knowledge(X56,X57),stock_of_knowledge(X56,X58))
| ~ smaller_or_equal(internal_friction(X56,X57),internal_friction(X56,X58))
| greater(capability(X56,X57),capability(X56,X58))
| ~ epred1_3(X58,X57,X56) )
& ( ~ smaller_or_equal(stock_of_knowledge(X56,X57),stock_of_knowledge(X56,X58))
| ~ greater(internal_friction(X56,X57),internal_friction(X56,X58))
| smaller(capability(X56,X57),capability(X56,X58))
| ~ epred1_3(X58,X57,X56) )
& ( stock_of_knowledge(X56,X57) != stock_of_knowledge(X56,X58)
| internal_friction(X56,X57) != internal_friction(X56,X58)
| capability(X56,X57) = capability(X56,X58)
| ~ epred1_3(X58,X57,X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_11,plain,
( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X50,X51,X52] :
( ~ organization(X50)
| ~ greater(age(X50,X52),age(X50,X51))
| greater(internal_friction(X50,X52),internal_friction(X50,X51)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_12])]) ).
cnf(c_0_14,plain,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
stock_of_knowledge(esk1_0,X1) = stock_of_knowledge(esk1_0,X2),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_18,plain,
! [X31,X32] :
( ( ~ smaller_or_equal(X31,X32)
| smaller(X31,X32)
| X31 = X32 )
& ( ~ smaller(X31,X32)
| smaller_or_equal(X31,X32) )
& ( X31 != X32
| smaller_or_equal(X31,X32) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
cnf(c_0_19,negated_conjecture,
( smaller(capability(esk1_0,X1),capability(esk1_0,X2))
| ~ epred1_3(X2,X1,esk1_0)
| ~ greater(internal_friction(esk1_0,X1),internal_friction(esk1_0,X2))
| ~ smaller_or_equal(stock_of_knowledge(esk1_0,X1),stock_of_knowledge(esk1_0,X3)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
greater(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_12])]) ).
cnf(c_0_21,negated_conjecture,
~ smaller(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,plain,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,axiom,
! [X1,X4,X5] :
( organization(X1)
=> epred1_3(X4,X5,X1) ),
inference(apply_def,[status(thm)],[assumption_5,c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( ~ epred1_3(esk2_0,esk3_0,esk1_0)
| ~ smaller_or_equal(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_25,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_22]) ).
fof(c_0_26,plain,
! [X44,X45,X46] :
( ~ organization(X44)
| epred1_3(X45,X46,X44) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).
cnf(c_0_27,negated_conjecture,
~ epred1_3(esk2_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( epred1_3(X2,X3,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT048+1 : TPTP v9.2.1. Released v2.4.0.
% 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
% 0.16/0.33 % Computer : n020.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 23:30:05 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % 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 : 1.368s
%------------------------------------------------------------------------------