%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU215+3 : 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 : n019.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 03:44:51 PM UTC 2025
% Result : Theorem 40.08s 5.39s
% Output : CNFRefutation 40.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 47 ( 28 unt; 0 def)
% Number of atoms : 139 ( 21 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 153 ( 61 ~; 59 |; 15 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t23_funct_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( in(A,relation_dom(B))
=> apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
fof(t23_funct_1_negated,plain,
~ ! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( in(A,relation_dom(B))
=> apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) ),
inference(negate_conjecture,[status(cth)],[t23_funct_1]) ).
cnf(52,plain,
relation(sK12),
inference(cnf,[status(esa)],[t23_funct_1_negated]) ).
cnf(l0,plain,
relation(sK12),
inference(instantiation,[status(thm)],[52]) ).
fof(d4_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ! [B,C] :
( ( in(B,relation_dom(A))
=> ( C = apply(A,B)
<=> in(ordered_pair(B,C),A) ) )
& ( ~ in(B,relation_dom(A))
=> ( C = apply(A,B)
<=> C = empty_set ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
cnf(6,plain,
( ~ function(X0)
| ~ relation(X0)
| X1 != apply(X0,X2)
| in(X2,relation_dom(X0))
| X1 = empty_set ),
inference(cnf,[status(esa)],[d4_funct_1]) ).
cnf(l1,plain,
( ~ function(sK12)
| ~ relation(sK12)
| apply(sK12,apply(sK11,sK10)) != apply(sK12,apply(sK11,sK10))
| in(apply(sK11,sK10),relation_dom(sK12))
| apply(sK12,apply(sK11,sK10)) = empty_set ),
inference(instantiation,[status(thm)],[6]) ).
cnf(53,plain,
function(sK12),
inference(cnf,[status(esa)],[t23_funct_1_negated]) ).
cnf(l3,plain,
function(sK12),
inference(instantiation,[status(thm)],[53]) ).
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(48,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(l146,plain,
( ~ in(sK10,relation_dom(sK11))
| ~ in(apply(sK11,sK10),relation_dom(sK12))
| ~ function(sK12)
| ~ function(sK11)
| ~ relation(sK12)
| ~ relation(sK11)
| in(sK10,relation_dom(relation_composition(sK11,sK12))) ),
inference(instantiation,[status(thm)],[48]) ).
fof(t22_funct_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( in(A,relation_dom(relation_composition(C,B)))
=> apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_funct_1) ).
cnf(49,plain,
( ~ in(X0,relation_dom(relation_composition(X1,X2)))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ),
inference(cnf,[status(esa)],[t22_funct_1]) ).
cnf(l190,plain,
( ~ in(sK10,relation_dom(relation_composition(sK11,sK12)))
| ~ function(sK12)
| ~ function(sK11)
| ~ relation(sK12)
| ~ relation(sK11)
| apply(relation_composition(sK11,sK12),sK10) = apply(sK12,apply(sK11,sK10)) ),
inference(instantiation,[status(thm)],[49]) ).
cnf(55,plain,
apply(relation_composition(sK11,sK12),sK10) != apply(sK12,apply(sK11,sK10)),
inference(cnf,[status(esa)],[t23_funct_1_negated]) ).
cnf(l195,plain,
apply(relation_composition(sK11,sK12),sK10) != apply(sK12,apply(sK11,sK10)),
inference(instantiation,[status(thm)],[55]) ).
cnf(54,plain,
in(sK10,relation_dom(sK11)),
inference(cnf,[status(esa)],[t23_funct_1_negated]) ).
cnf(l147,plain,
in(sK10,relation_dom(sK11)),
inference(instantiation,[status(thm)],[54]) ).
cnf(51,plain,
function(sK11),
inference(cnf,[status(esa)],[t23_funct_1_negated]) ).
cnf(l194,plain,
function(sK11),
inference(instantiation,[status(thm)],[51]) ).
cnf(50,plain,
relation(sK11),
inference(cnf,[status(esa)],[t23_funct_1_negated]) ).
cnf(l203,plain,
relation(sK11),
inference(instantiation,[status(thm)],[50]) ).
cnf(l173,plain,
function(sK12),
inference(instantiation,[status(thm)],[53]) ).
cnf(l202,plain,
relation(sK11),
inference(instantiation,[status(thm)],[50]) ).
cnf(l196,plain,
function(sK12),
inference(instantiation,[status(thm)],[53]) ).
cnf(l171,plain,
function(sK11),
inference(instantiation,[status(thm)],[51]) ).
cnf(7,plain,
( ~ function(X0)
| ~ relation(X0)
| X1 != empty_set
| in(X2,relation_dom(X0))
| X1 = apply(X0,X2) ),
inference(cnf,[status(esa)],[d4_funct_1]) ).
cnf(l67,plain,
( ~ function(relation_composition(sK11,sK12))
| ~ relation(relation_composition(sK11,sK12))
| apply(sK12,apply(sK11,sK10)) != empty_set
| in(sK10,relation_dom(relation_composition(sK11,sK12)))
| apply(sK12,apply(sK11,sK10)) = apply(relation_composition(sK11,sK12),sK10) ),
inference(instantiation,[status(thm)],[7]) ).
fof(fc1_funct_1,plain,
! [A,B] :
( ( relation(A)
& function(A)
& relation(B)
& function(B) )
=> ( relation(relation_composition(A,B))
& function(relation_composition(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
cnf(17,plain,
( ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1)
| function(relation_composition(X0,X1)) ),
inference(cnf,[status(esa)],[fc1_funct_1]) ).
cnf(l68,plain,
( ~ function(sK11)
| ~ function(sK12)
| ~ relation(sK11)
| ~ relation(sK12)
| function(relation_composition(sK11,sK12)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l76,plain,
function(sK12),
inference(instantiation,[status(thm)],[53]) ).
cnf(16,plain,
( ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1)
| relation(relation_composition(X0,X1)) ),
inference(cnf,[status(esa)],[fc1_funct_1]) ).
cnf(l77,plain,
( ~ function(sK11)
| ~ function(sK12)
| ~ relation(sK11)
| ~ relation(sK12)
| relation(relation_composition(sK11,sK12)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l99,plain,
( ~ in(sK10,relation_dom(relation_composition(sK11,sK12)))
| ~ function(sK12)
| ~ function(sK11)
| ~ relation(sK12)
| ~ relation(sK11)
| apply(relation_composition(sK11,sK12),sK10) = apply(sK12,apply(sK11,sK10)) ),
inference(instantiation,[status(thm)],[49]) ).
cnf(l81,plain,
function(sK11),
inference(instantiation,[status(thm)],[51]) ).
cnf(l125,plain,
relation(sK11),
inference(instantiation,[status(thm)],[50]) ).
cnf(l134,plain,
apply(relation_composition(sK11,sK12),sK10) != apply(sK12,apply(sK11,sK10)),
inference(instantiation,[status(thm)],[55]) ).
cnf(l79,plain,
relation(sK11),
inference(instantiation,[status(thm)],[50]) ).
cnf(l136,plain,
relation(sK11),
inference(instantiation,[status(thm)],[50]) ).
cnf(l110,plain,
function(sK12),
inference(instantiation,[status(thm)],[53]) ).
cnf(l135,plain,
function(sK11),
inference(instantiation,[status(thm)],[51]) ).
cnf(l103,plain,
apply(relation_composition(sK11,sK12),sK10) != apply(sK12,apply(sK11,sK10)),
inference(instantiation,[status(thm)],[55]) ).
cnf(l75,plain,
function(sK11),
inference(instantiation,[status(thm)],[51]) ).
cnf(l133,plain,
function(sK12),
inference(instantiation,[status(thm)],[53]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l146,l190,l195,l147,l194,l203,l173,l202,l196,l171,l67,l68,l76,l77,l99,l81,l125,l134,l79,l136,l110,l135,l103,l75,l133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU215+3 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n019.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Jul 21 23:59:49 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.30 % launching worker at depth: 9
% 0.08/0.30 % launching worker at depth: 10
% 0.13/0.45 % launching worker at depth: 11
% 40.08/5.39 % SZS status Theorem for theBenchmark
% 40.08/5.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------