%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU264+2 : TPTP v9.2.1. Released v3.3.0.
% 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 : n025.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 05:11:17 PM UTC 2026
% Result : Theorem 2.38s 2.04s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 17 ~; 13 |; 5 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 40 ( 2 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t16_relset_1,conjecture,
! [X1,X2,X3,X4] :
( relation_of2_as_subset(X4,X3,X1)
=> ( subset(X1,X2)
=> relation_of2_as_subset(X4,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relset_1) ).
fof(t14_relset_1,lemma,
! [X1,X2,X3,X4] :
( relation_of2_as_subset(X4,X3,X1)
=> ( subset(relation_rng(X4),X2)
=> relation_of2_as_subset(X4,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_1) ).
fof(t1_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X2,X3) )
=> subset(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(t12_relset_1,lemma,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( subset(relation_dom(X3),X1)
& subset(relation_rng(X3),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relset_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( relation_of2_as_subset(X4,X3,X1)
=> ( subset(X1,X2)
=> relation_of2_as_subset(X4,X3,X2) ) ),
inference(assume_negation,[status(cth)],[t16_relset_1]) ).
fof(c_0_5,lemma,
! [X1334,X1335,X1336,X1337] :
( ~ relation_of2_as_subset(X1337,X1336,X1334)
| ~ subset(relation_rng(X1337),X1335)
| relation_of2_as_subset(X1337,X1336,X1335) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t14_relset_1])]) ).
fof(c_0_6,negated_conjecture,
( relation_of2_as_subset(esk112_0,esk111_0,esk109_0)
& subset(esk109_0,esk110_0)
& ~ relation_of2_as_subset(esk112_0,esk111_0,esk110_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,lemma,
( relation_of2_as_subset(X1,X2,X4)
| ~ relation_of2_as_subset(X1,X2,X3)
| ~ subset(relation_rng(X1),X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
relation_of2_as_subset(esk112_0,esk111_0,esk109_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,lemma,
! [X1374,X1375,X1376] :
( ~ subset(X1374,X1375)
| ~ subset(X1375,X1376)
| subset(X1374,X1376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
fof(c_0_10,lemma,
! [X1304,X1305,X1306] :
( ( subset(relation_dom(X1306),X1304)
| ~ relation_of2_as_subset(X1306,X1304,X1305) )
& ( subset(relation_rng(X1306),X1305)
| ~ relation_of2_as_subset(X1306,X1304,X1305) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_relset_1])])]) ).
cnf(c_0_11,negated_conjecture,
~ relation_of2_as_subset(esk112_0,esk111_0,esk110_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( relation_of2_as_subset(esk112_0,esk111_0,X1)
| ~ subset(relation_rng(esk112_0),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,lemma,
( subset(X1,X3)
| ~ subset(X1,X2)
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
subset(esk109_0,esk110_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,lemma,
( subset(relation_rng(X1),X2)
| ~ relation_of2_as_subset(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
~ subset(relation_rng(esk112_0),esk110_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( subset(X1,esk110_0)
| ~ subset(X1,esk109_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
subset(relation_rng(esk112_0),esk109_0),
inference(spm,[status(thm)],[c_0_15,c_0_8]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU264+2 : TPTP v9.2.1. Released v3.3.0.
% 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
% 0.15/0.33 % Computer : n025.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 02:53:13 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.38/2.04 % Version : CSE_E---1.7
% 2.38/2.04 % Problem : theBenchmark.p
% 2.38/2.04 % SZS status Theorem for theBenchmark.p
% 2.38/2.04 % SZS output start CNFRefutation
% See solution above
% 2.38/2.04 % Total time : 1.428s
%------------------------------------------------------------------------------