%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU032+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 : n017.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 03:44:23 PM UTC 2025
% Result : Theorem 84.17s 10.91s
% Output : CNFRefutation 84.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 18 unt; 0 def)
% Number of atoms : 112 ( 23 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 122 ( 49 ~; 46 |; 13 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t65_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> function_inverse(function_inverse(A)) = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_funct_1) ).
fof(t65_funct_1_negated,plain,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> function_inverse(function_inverse(A)) = A ) ),
inference(negate_conjecture,[status(cth)],[t65_funct_1]) ).
cnf(63,plain,
relation(sK12),
inference(cnf,[status(esa)],[t65_funct_1_negated]) ).
cnf(l0,plain,
relation(sK12),
inference(instantiation,[status(thm)],[63]) ).
fof(t63_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ! [B] :
( ( relation(B)
& function(B) )
=> ( ( one_to_one(A)
& relation_rng(A) = relation_dom(B)
& relation_composition(A,B) = identity_relation(relation_dom(A)) )
=> B = function_inverse(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_funct_1) ).
cnf(62,plain,
( ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ one_to_one(X0)
| relation_composition(X0,X1) != identity_relation(relation_dom(X0))
| relation_rng(X0) != relation_dom(X1)
| X1 = function_inverse(X0) ),
inference(cnf,[status(esa)],[t63_funct_1]) ).
cnf(l1,plain,
( ~ function(function_inverse(sK12))
| ~ function(sK12)
| ~ relation(function_inverse(sK12))
| ~ relation(sK12)
| ~ one_to_one(function_inverse(sK12))
| relation_composition(function_inverse(sK12),sK12) != identity_relation(relation_dom(function_inverse(sK12)))
| relation_rng(function_inverse(sK12)) != relation_dom(sK12)
| sK12 = function_inverse(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[62]) ).
fof(dt_k2_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( relation(function_inverse(A))
& function(function_inverse(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(5,plain,
( ~ function(X0)
| ~ relation(X0)
| function(function_inverse(X0)) ),
inference(cnf,[status(esa)],[dt_k2_funct_1]) ).
cnf(l2,plain,
( ~ function(sK12)
| ~ relation(sK12)
| function(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(64,plain,
function(sK12),
inference(cnf,[status(esa)],[t65_funct_1_negated]) ).
cnf(l86,plain,
function(sK12),
inference(instantiation,[status(thm)],[64]) ).
cnf(4,plain,
( ~ function(X0)
| ~ relation(X0)
| relation(function_inverse(X0)) ),
inference(cnf,[status(esa)],[dt_k2_funct_1]) ).
cnf(l3,plain,
( ~ function(sK12)
| ~ relation(sK12)
| relation(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l4,plain,
function(sK12),
inference(instantiation,[status(thm)],[64]) ).
fof(t62_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> one_to_one(function_inverse(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_funct_1) ).
cnf(61,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| one_to_one(function_inverse(X0)) ),
inference(cnf,[status(esa)],[t62_funct_1]) ).
cnf(l325,plain,
( ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| one_to_one(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l335,plain,
function(sK12),
inference(instantiation,[status(thm)],[64]) ).
cnf(l330,plain,
function(sK12),
inference(instantiation,[status(thm)],[64]) ).
cnf(65,plain,
one_to_one(sK12),
inference(cnf,[status(esa)],[t65_funct_1_negated]) ).
cnf(l326,plain,
one_to_one(sK12),
inference(instantiation,[status(thm)],[65]) ).
fof(t61_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( relation_composition(A,function_inverse(A)) = identity_relation(relation_dom(A))
& relation_composition(function_inverse(A),A) = identity_relation(relation_rng(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_funct_1) ).
cnf(60,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0)) ),
inference(cnf,[status(esa)],[t61_funct_1]) ).
cnf(l741,plain,
( ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| relation_composition(function_inverse(sK12),sK12) = identity_relation(relation_rng(sK12)) ),
inference(instantiation,[status(thm)],[60]) ).
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) ).
cnf(56,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0)) ),
inference(cnf,[status(esa)],[t55_funct_1]) ).
cnf(l818,plain,
( ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| relation_rng(sK12) = relation_dom(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[56]) ).
cnf(l820,plain,
function(sK12),
inference(instantiation,[status(thm)],[64]) ).
cnf(57,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_dom(X0) = relation_rng(function_inverse(X0)) ),
inference(cnf,[status(esa)],[t55_funct_1]) ).
cnf(l711,plain,
( ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| relation_dom(sK12) = relation_rng(function_inverse(sK12)) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(l824,plain,
one_to_one(sK12),
inference(instantiation,[status(thm)],[65]) ).
cnf(l747,plain,
function(sK12),
inference(instantiation,[status(thm)],[64]) ).
cnf(l740,plain,
one_to_one(sK12),
inference(instantiation,[status(thm)],[65]) ).
cnf(l734,plain,
function(sK12),
inference(instantiation,[status(thm)],[64]) ).
cnf(l845,plain,
one_to_one(sK12),
inference(instantiation,[status(thm)],[65]) ).
cnf(66,plain,
function_inverse(function_inverse(sK12)) != sK12,
inference(cnf,[status(esa)],[t65_funct_1_negated]) ).
cnf(l886,plain,
function_inverse(function_inverse(sK12)) != sK12,
inference(instantiation,[status(thm)],[66]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l86,l3,l4,l325,l335,l330,l326,l741,l818,l820,l711,l824,l747,l740,l734,l845,l886]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU032+1 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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 23:16:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 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: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.40 % launching worker at depth: 11
% 3.64/0.79 % launching worker at depth: 12
% 84.17/10.91 % SZS status Theorem for theBenchmark
% 84.17/10.91 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------