%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU219+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 03:44:52 PM UTC 2025
% Result : Theorem 7.85s 1.38s
% Output : CNFRefutation 7.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 53 ( 18 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 18 ~; 15 |; 6 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t55_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( relation_rng(A) = relation_dom(function_inverse(A))
& relation_dom(A) = relation_rng(function_inverse(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
fof(t55_funct_1_negated,plain,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( relation_rng(A) = relation_dom(function_inverse(A))
& relation_dom(A) = relation_rng(function_inverse(A)) ) ) ),
inference(negate_conjecture,[status(cth)],[t55_funct_1]) ).
cnf(17,plain,
( relation_dom(sK3) != relation_rng(function_inverse(sK3))
| relation_rng(sK3) != relation_dom(function_inverse(sK3)) ),
inference(cnf,[status(esa)],[t55_funct_1_negated]) ).
cnf(l0,plain,
( relation_dom(sK3) != relation_rng(function_inverse(sK3))
| relation_rng(sK3) != relation_dom(function_inverse(sK3)) ),
inference(instantiation,[status(thm)],[17]) ).
fof(t37_relat_1,plain,
! [A] :
( relation(A)
=> ( relation_rng(A) = relation_dom(relation_inverse(A))
& relation_dom(A) = relation_rng(relation_inverse(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
cnf(12,plain,
( ~ relation(X0)
| relation_rng(X0) = relation_dom(relation_inverse(X0)) ),
inference(cnf,[status(esa)],[t37_relat_1]) ).
cnf(l252,plain,
( ~ relation(sK3)
| relation_rng(sK3) = relation_dom(relation_inverse(sK3)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(14,plain,
relation(sK3),
inference(cnf,[status(esa)],[t55_funct_1_negated]) ).
cnf(l253,plain,
relation(sK3),
inference(instantiation,[status(thm)],[14]) ).
cnf(13,plain,
( ~ relation(X0)
| relation_dom(X0) = relation_rng(relation_inverse(X0)) ),
inference(cnf,[status(esa)],[t37_relat_1]) ).
cnf(l49,plain,
( ~ relation(sK3)
| relation_dom(sK3) = relation_rng(relation_inverse(sK3)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l51,plain,
relation(sK3),
inference(instantiation,[status(thm)],[14]) ).
fof(d9_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> function_inverse(A) = relation_inverse(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_funct_1) ).
cnf(0,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| function_inverse(X0) = relation_inverse(X0) ),
inference(cnf,[status(esa)],[d9_funct_1]) ).
cnf(l258,plain,
( ~ function(sK3)
| ~ relation(sK3)
| ~ one_to_one(sK3)
| function_inverse(sK3) = relation_inverse(sK3) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(16,plain,
one_to_one(sK3),
inference(cnf,[status(esa)],[t55_funct_1_negated]) ).
cnf(l264,plain,
one_to_one(sK3),
inference(instantiation,[status(thm)],[16]) ).
cnf(l263,plain,
relation(sK3),
inference(instantiation,[status(thm)],[14]) ).
cnf(15,plain,
function(sK3),
inference(cnf,[status(esa)],[t55_funct_1_negated]) ).
cnf(l259,plain,
function(sK3),
inference(instantiation,[status(thm)],[15]) ).
cnf(l23,plain,
( ~ function(sK3)
| ~ relation(sK3)
| ~ one_to_one(sK3)
| function_inverse(sK3) = relation_inverse(sK3) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l29,plain,
one_to_one(sK3),
inference(instantiation,[status(thm)],[16]) ).
cnf(l25,plain,
relation(sK3),
inference(instantiation,[status(thm)],[14]) ).
cnf(l26,plain,
function(sK3),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l252,l253,l49,l51,l258,l264,l263,l259,l23,l29,l25,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU219+1 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 : Tue Jul 22 00:01:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.19/0.47 % launching worker at depth: 12
% 7.85/1.38 % SZS status Theorem for theBenchmark
% 7.85/1.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------