%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PHI012+1 : TPTP v9.2.1. Released v7.2.0.
% 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 : n013.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 05:01:09 PM UTC 2026
% Result : Theorem 1.22s 1.71s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 103 ( 11 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 125 ( 46 ~; 52 |; 18 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn 10 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_2,conjecture,
( ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1) )
=> ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X2] :
( object(X2)
=> ( exemplifies_property(none_greater,X2)
=> X2 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2) ).
fof(definition_none_greater,axiom,
! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
<=> ( exemplifies_property(conceivable,X1)
& ~ ? [X2] :
( object(X2)
& exemplifies_relation(greater_than,X2,X1)
& exemplifies_property(conceivable,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
fof(connectedness_of_greater_than,axiom,
! [X1,X2] :
( ( object(X1)
& object(X2) )
=> ( exemplifies_relation(greater_than,X1,X2)
| exemplifies_relation(greater_than,X2,X1)
| X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectedness_of_greater_than) ).
fof(c_0_3,negated_conjecture,
~ ( ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1) )
=> ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X2] :
( object(X2)
=> ( exemplifies_property(none_greater,X2)
=> X2 = X1 ) ) ) ),
inference(assume_negation,[status(cth)],[lemma_2]) ).
fof(c_0_4,plain,
! [X10,X11] :
( ( exemplifies_property(conceivable,X10)
| ~ exemplifies_property(none_greater,X10)
| ~ object(X10) )
& ( ~ object(X11)
| ~ exemplifies_relation(greater_than,X11,X10)
| ~ exemplifies_property(conceivable,X11)
| ~ exemplifies_property(none_greater,X10)
| ~ object(X10) )
& ( object(esk1_1(X10))
| ~ exemplifies_property(conceivable,X10)
| exemplifies_property(none_greater,X10)
| ~ object(X10) )
& ( exemplifies_relation(greater_than,esk1_1(X10),X10)
| ~ exemplifies_property(conceivable,X10)
| exemplifies_property(none_greater,X10)
| ~ object(X10) )
& ( exemplifies_property(conceivable,esk1_1(X10))
| ~ exemplifies_property(conceivable,X10)
| exemplifies_property(none_greater,X10)
| ~ object(X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_none_greater])])])])]) ).
fof(c_0_5,plain,
! [X13,X14] :
( ~ object(X13)
| ~ object(X14)
| exemplifies_relation(greater_than,X13,X14)
| exemplifies_relation(greater_than,X14,X13)
| X13 = X14 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_of_greater_than])]) ).
fof(c_0_6,negated_conjecture,
! [X16] :
( object(esk2_0)
& exemplifies_property(none_greater,esk2_0)
& ( object(esk3_1(X16))
| ~ object(X16)
| ~ exemplifies_property(none_greater,X16) )
& ( exemplifies_property(none_greater,esk3_1(X16))
| ~ object(X16)
| ~ exemplifies_property(none_greater,X16) )
& ( esk3_1(X16) != X16
| ~ object(X16)
| ~ exemplifies_property(none_greater,X16) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
cnf(c_0_7,plain,
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X2)
| ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_property(none_greater,X2)
| ~ object(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( exemplifies_relation(greater_than,X1,X2)
| exemplifies_relation(greater_than,X2,X1)
| X1 = X2
| ~ object(X1)
| ~ object(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( exemplifies_property(none_greater,esk3_1(X1))
| ~ object(X1)
| ~ exemplifies_property(none_greater,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
exemplifies_property(none_greater,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
object(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( object(esk3_1(X1))
| ~ object(X1)
| ~ exemplifies_property(none_greater,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( X1 = X2
| exemplifies_relation(greater_than,X2,X1)
| ~ exemplifies_property(none_greater,X2)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X2)
| ~ object(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_14,negated_conjecture,
exemplifies_property(none_greater,esk3_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_15,negated_conjecture,
object(esk3_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_10]),c_0_11])]) ).
cnf(c_0_16,plain,
( exemplifies_property(conceivable,X1)
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( X1 = esk3_1(esk2_0)
| exemplifies_relation(greater_than,esk3_1(esk2_0),X1)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
exemplifies_property(conceivable,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_10]),c_0_11])]) ).
cnf(c_0_19,negated_conjecture,
( esk3_1(esk2_0) = esk2_0
| exemplifies_relation(greater_than,esk3_1(esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_11])]) ).
cnf(c_0_20,negated_conjecture,
exemplifies_property(conceivable,esk3_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_14]),c_0_15])]) ).
cnf(c_0_21,negated_conjecture,
( esk3_1(X1) != X1
| ~ object(X1)
| ~ exemplifies_property(none_greater,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
esk3_1(esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_19]),c_0_10]),c_0_11]),c_0_15])]),c_0_20])]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PHI012+1 : TPTP v9.2.1. Released v7.2.0.
% 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
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 5 01:24:56 EDT 2026
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % start to proof: theBenchmark
% 1.22/1.71 % Version : CSE_E---1.7
% 1.22/1.71 % Problem : theBenchmark.p
% 1.22/1.71 % SZS status Theorem for theBenchmark.p
% 1.22/1.71 % SZS output start CNFRefutation
% See solution above
% 1.22/1.71 % Total time : 1.373s
%------------------------------------------------------------------------------