%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU096+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n031.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 03:44:28 PM UTC 2025
% Result : Theorem 0.18s 0.35s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 46 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 41 ( 15 ~; 12 |; 6 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t27_finset_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( ( subset(A,relation_rng(B))
& finite(relation_inverse_image(B,A)) )
=> finite(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finset_1) ).
fof(t27_finset_1_negated,plain,
~ ! [A,B] :
( ( relation(B)
& function(B) )
=> ( ( subset(A,relation_rng(B))
& finite(relation_inverse_image(B,A)) )
=> finite(A) ) ),
inference(negate_conjecture,[status(cth)],[t27_finset_1]) ).
cnf(132,plain,
relation(sK28),
inference(cnf,[status(esa)],[t27_finset_1_negated]) ).
cnf(l0,plain,
relation(sK28),
inference(instantiation,[status(thm)],[132]) ).
fof(t17_finset_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( finite(A)
=> finite(relation_image(B,A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_finset_1) ).
cnf(130,plain,
( ~ function(X0)
| ~ finite(X1)
| ~ relation(X0)
| finite(relation_image(X0,X1)) ),
inference(cnf,[status(esa)],[t17_finset_1]) ).
cnf(l1,plain,
( ~ function(sK28)
| ~ finite(relation_inverse_image(sK28,sK27))
| ~ relation(sK28)
| finite(relation_image(sK28,relation_inverse_image(sK28,sK27))) ),
inference(instantiation,[status(thm)],[130]) ).
cnf(133,plain,
function(sK28),
inference(cnf,[status(esa)],[t27_finset_1_negated]) ).
cnf(l2,plain,
function(sK28),
inference(instantiation,[status(thm)],[133]) ).
cnf(136,plain,
~ finite(sK27),
inference(cnf,[status(esa)],[t27_finset_1_negated]) ).
cnf(l9,plain,
~ finite(sK27),
inference(instantiation,[status(thm)],[136]) ).
fof(t147_funct_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( subset(A,relation_rng(B))
=> relation_image(B,relation_inverse_image(B,A)) = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t147_funct_1) ).
cnf(129,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ subset(X1,relation_rng(X0))
| relation_image(X0,relation_inverse_image(X0,X1)) = X1 ),
inference(cnf,[status(esa)],[t147_funct_1]) ).
cnf(l6,plain,
( ~ function(sK28)
| ~ relation(sK28)
| ~ subset(sK27,relation_rng(sK28))
| relation_image(sK28,relation_inverse_image(sK28,sK27)) = sK27 ),
inference(instantiation,[status(thm)],[129]) ).
cnf(134,plain,
subset(sK27,relation_rng(sK28)),
inference(cnf,[status(esa)],[t27_finset_1_negated]) ).
cnf(l24,plain,
subset(sK27,relation_rng(sK28)),
inference(instantiation,[status(thm)],[134]) ).
cnf(135,plain,
finite(relation_inverse_image(sK28,sK27)),
inference(cnf,[status(esa)],[t27_finset_1_negated]) ).
cnf(l5,plain,
finite(relation_inverse_image(sK28,sK27)),
inference(instantiation,[status(thm)],[135]) ).
cnf(l10,plain,
function(sK28),
inference(instantiation,[status(thm)],[133]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l9,l6,l24,l5,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU096+1 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.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 23:27:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 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: 4
% 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
% 0.18/0.34 % launching worker at depth: 10
% 0.18/0.35 % SZS status Theorem for theBenchmark
% 0.18/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------