%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU009+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n023.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 : Fri Jul 25 03:44:22 PM UTC 2025
% Result : Theorem 25.84s 3.63s
% Output : CNFRefutation 25.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 54 ( 31 unt; 0 def)
% Number of atoms : 135 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 142 ( 61 ~; 61 |; 10 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 3 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t40_funct_1,plain,
! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_composition(C,identity_relation(A))))
<=> ( in(B,relation_dom(C))
& in(apply(C,B),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_funct_1) ).
fof(t40_funct_1_negated,plain,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_composition(C,identity_relation(A))))
<=> ( in(B,relation_dom(C))
& in(apply(C,B),A) ) ) ),
inference(negate_conjecture,[status(cth)],[t40_funct_1]) ).
cnf(53,plain,
( in(apply(sK13,sK12),sK11)
| in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11)))) ),
inference(cnf,[status(esa)],[t40_funct_1_negated]) ).
cnf(l0,plain,
( in(apply(sK13,sK12),sK11)
| in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11)))) ),
inference(instantiation,[status(thm)],[53]) ).
cnf(54,plain,
( ~ in(apply(sK13,sK12),sK11)
| ~ in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11))))
| ~ in(sK12,relation_dom(sK13)) ),
inference(cnf,[status(esa)],[t40_funct_1_negated]) ).
cnf(l415,plain,
( ~ in(apply(sK13,sK12),sK11)
| ~ in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11))))
| ~ in(sK12,relation_dom(sK13)) ),
inference(instantiation,[status(thm)],[54]) ).
fof(t21_funct_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( in(A,relation_dom(relation_composition(C,B)))
<=> ( in(A,relation_dom(C))
& in(apply(C,A),relation_dom(B)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
cnf(40,plain,
( ~ in(X0,relation_dom(relation_composition(X1,X2)))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| in(X0,relation_dom(X1)) ),
inference(cnf,[status(esa)],[t21_funct_1]) ).
cnf(l418,plain,
( ~ in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11))))
| ~ function(identity_relation(sK11))
| ~ function(sK13)
| ~ relation(identity_relation(sK11))
| ~ relation(sK13)
| in(sK12,relation_dom(sK13)) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(50,plain,
relation(sK13),
inference(cnf,[status(esa)],[t40_funct_1_negated]) ).
cnf(l688,plain,
relation(sK13),
inference(instantiation,[status(thm)],[50]) ).
cnf(51,plain,
function(sK13),
inference(cnf,[status(esa)],[t40_funct_1_negated]) ).
cnf(l475,plain,
function(sK13),
inference(instantiation,[status(thm)],[51]) ).
fof(fc2_funct_1,plain,
! [A] :
( relation(identity_relation(A))
& function(identity_relation(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
cnf(16,plain,
function(identity_relation(X0)),
inference(cnf,[status(esa)],[fc2_funct_1]) ).
cnf(l424,plain,
function(identity_relation(sK11)),
inference(instantiation,[status(thm)],[16]) ).
cnf(41,plain,
( ~ in(X0,relation_dom(relation_composition(X1,X2)))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| in(apply(X1,X0),relation_dom(X2)) ),
inference(cnf,[status(esa)],[t21_funct_1]) ).
cnf(l454,plain,
( ~ in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11))))
| ~ function(identity_relation(sK11))
| ~ function(sK13)
| ~ relation(identity_relation(sK11))
| ~ relation(sK13)
| in(apply(sK13,sK12),relation_dom(identity_relation(sK11))) ),
inference(instantiation,[status(thm)],[41]) ).
fof(t34_funct_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( B = identity_relation(A)
<=> ( relation_dom(B) = A
& ! [C] :
( in(C,A)
=> apply(B,C) = C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
cnf(44,plain,
( ~ function(X0)
| ~ relation(X0)
| X0 != identity_relation(X1)
| relation_dom(X0) = X1 ),
inference(cnf,[status(esa)],[t34_funct_1]) ).
cnf(l442,plain,
( ~ function(identity_relation(sK11))
| ~ relation(identity_relation(sK11))
| identity_relation(sK11) != identity_relation(sK11)
| relation_dom(identity_relation(sK11)) = sK11 ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l471,plain,
function(sK13),
inference(instantiation,[status(thm)],[51]) ).
cnf(l450,plain,
function(identity_relation(sK11)),
inference(instantiation,[status(thm)],[16]) ).
cnf(15,plain,
relation(identity_relation(X0)),
inference(cnf,[status(esa)],[fc2_funct_1]) ).
cnf(l419,plain,
relation(identity_relation(sK11)),
inference(instantiation,[status(thm)],[15]) ).
cnf(l4,plain,
( ~ function(identity_relation(sK11))
| ~ relation(identity_relation(sK11))
| identity_relation(sK11) != identity_relation(sK11)
| relation_dom(identity_relation(sK11)) = sK11 ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l443,plain,
relation(identity_relation(sK11)),
inference(instantiation,[status(thm)],[15]) ).
fof(dt_k6_relat_1,plain,
! [A] : relation(identity_relation(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
cnf(4,plain,
relation(identity_relation(X0)),
inference(cnf,[status(esa)],[dt_k6_relat_1]) ).
cnf(l6,plain,
relation(identity_relation(sK11)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l462,plain,
relation(sK13),
inference(instantiation,[status(thm)],[50]) ).
cnf(l456,plain,
function(identity_relation(sK11)),
inference(instantiation,[status(thm)],[16]) ).
cnf(l461,plain,
relation(identity_relation(sK11)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l20,plain,
function(identity_relation(sK11)),
inference(instantiation,[status(thm)],[16]) ).
cnf(42,plain,
( ~ in(X0,relation_dom(X1))
| ~ in(apply(X1,X0),relation_dom(X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| in(X0,relation_dom(relation_composition(X1,X2))) ),
inference(cnf,[status(esa)],[t21_funct_1]) ).
cnf(l8,plain,
( ~ in(sK12,relation_dom(sK13))
| ~ in(apply(sK13,sK12),relation_dom(identity_relation(sK11)))
| ~ function(identity_relation(sK11))
| ~ function(sK13)
| ~ relation(identity_relation(sK11))
| ~ relation(sK13)
| in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11)))) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(l297,plain,
relation(sK13),
inference(instantiation,[status(thm)],[50]) ).
cnf(l295,plain,
( ~ in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11))))
| ~ function(identity_relation(sK11))
| ~ function(sK13)
| ~ relation(identity_relation(sK11))
| ~ relation(sK13)
| in(sK12,relation_dom(sK13)) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l305,plain,
relation(identity_relation(sK11)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l300,plain,
relation(sK13),
inference(instantiation,[status(thm)],[50]) ).
cnf(l302,plain,
( ~ in(apply(sK13,sK12),sK11)
| ~ in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11))))
| ~ in(sK12,relation_dom(sK13)) ),
inference(instantiation,[status(thm)],[54]) ).
cnf(l67,plain,
function(sK13),
inference(instantiation,[status(thm)],[51]) ).
cnf(l301,plain,
function(sK13),
inference(instantiation,[status(thm)],[51]) ).
cnf(l12,plain,
( ~ in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11))))
| ~ function(identity_relation(sK11))
| ~ function(sK13)
| ~ relation(identity_relation(sK11))
| ~ relation(sK13)
| in(sK12,relation_dom(sK13)) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l62,plain,
function(identity_relation(sK11)),
inference(instantiation,[status(thm)],[16]) ).
cnf(l72,plain,
relation(identity_relation(sK11)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l629,plain,
relation(sK13),
inference(instantiation,[status(thm)],[50]) ).
cnf(52,plain,
( in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11))))
| in(sK12,relation_dom(sK13)) ),
inference(cnf,[status(esa)],[t40_funct_1_negated]) ).
cnf(l14,plain,
( in(sK12,relation_dom(relation_composition(sK13,identity_relation(sK11))))
| in(sK12,relation_dom(sK13)) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(l258,plain,
relation(identity_relation(sK11)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l296,plain,
function(identity_relation(sK11)),
inference(instantiation,[status(thm)],[16]) ).
cnf(l57,plain,
function(sK13),
inference(instantiation,[status(thm)],[51]) ).
cnf(l56,plain,
function(identity_relation(sK11)),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l415,l418,l688,l475,l424,l454,l442,l471,l450,l419,l4,l443,l6,l462,l456,l461,l20,l8,l297,l295,l305,l300,l302,l67,l301,l12,l62,l72,l629,l14,l258,l296,l57,l56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU009+1 : TPTP v9.0.0. Released v3.2.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 23:12:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.34 % launching worker at depth: 1
% 0.18/0.34 % launching worker at depth: 8
% 0.18/0.34 % launching worker at depth: 4
% 0.18/0.34 % launching worker at depth: 5
% 0.18/0.34 % launching worker at depth: 3
% 0.18/0.34 % launching worker at depth: 6
% 0.18/0.34 % launching worker at depth: 7
% 0.18/0.34 % launching worker at depth: 2
% 0.18/0.34 % launching worker at depth: 9
% 0.18/0.36 % launching worker at depth: 10
% 1.95/0.58 % launching worker at depth: 11
% 25.84/3.63 % SZS status Theorem for theBenchmark
% 25.84/3.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------