%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU224+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 : n008.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 05:11:08 PM UTC 2026
% Result : Theorem 1.93s 1.94s
% Output : CNFRefutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 64 ( 24 ~; 23 |; 11 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l82_funct_1,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_dom_restriction(X3,X1)))
<=> ( in(X2,relation_dom(X3))
& in(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l82_funct_1) ).
fof(t86_relat_1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_dom(relation_dom_restriction(X3,X2)))
<=> ( in(X1,X2)
& in(X1,relation_dom(X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_relat_1) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_dom_restriction(X3,X1)))
<=> ( in(X2,relation_dom(X3))
& in(X2,X1) ) ) ),
inference(assume_negation,[status(cth)],[l82_funct_1]) ).
fof(c_0_3,lemma,
! [X1119,X1120,X1121] :
( ( in(X1119,X1120)
| ~ in(X1119,relation_dom(relation_dom_restriction(X1121,X1120)))
| ~ relation(X1121) )
& ( in(X1119,relation_dom(X1121))
| ~ in(X1119,relation_dom(relation_dom_restriction(X1121,X1120)))
| ~ relation(X1121) )
& ( ~ in(X1119,X1120)
| ~ in(X1119,relation_dom(X1121))
| in(X1119,relation_dom(relation_dom_restriction(X1121,X1120)))
| ~ relation(X1121) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t86_relat_1])])]) ).
fof(c_0_4,negated_conjecture,
( relation(esk58_0)
& function(esk58_0)
& ( ~ in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0)))
| ~ in(esk57_0,relation_dom(esk58_0))
| ~ in(esk57_0,esk56_0) )
& ( in(esk57_0,relation_dom(esk58_0))
| in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))) )
& ( in(esk57_0,esk56_0)
| in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
cnf(c_0_5,lemma,
( in(X1,X2)
| ~ in(X1,relation_dom(relation_dom_restriction(X3,X2)))
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( in(esk57_0,esk56_0)
| in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
relation(esk58_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( ~ in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0)))
| ~ in(esk57_0,relation_dom(esk58_0))
| ~ in(esk57_0,esk56_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
in(esk57_0,esk56_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).
cnf(c_0_10,negated_conjecture,
( ~ in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0)))
| ~ in(esk57_0,relation_dom(esk58_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_11,lemma,
( in(X1,relation_dom(relation_dom_restriction(X3,X2)))
| ~ in(X1,X2)
| ~ in(X1,relation_dom(X3))
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( in(esk57_0,relation_dom(esk58_0))
| in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,lemma,
~ in(esk57_0,relation_dom(esk58_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_7]),c_0_9])]) ).
cnf(c_0_14,lemma,
( in(X1,relation_dom(X2))
| ~ in(X1,relation_dom(relation_dom_restriction(X2,X3)))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))),
inference(sr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,lemma,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_7])]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU224+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
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 02:50:14 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.93/1.94 % Version : CSE_E---1.7
% 1.93/1.94 % Problem : theBenchmark.p
% 1.93/1.94 % SZS status Theorem for theBenchmark.p
% 1.93/1.94 % SZS output start CNFRefutation
% See solution above
% 1.93/1.94 % Total time : 1.426s
%------------------------------------------------------------------------------