%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU212+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n028.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 188.06s 23.98s
% Output : CNFRefutation 188.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 84 ( 14 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 92 ( 36 ~; 38 |; 7 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 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 : 21 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_funct_1,plain,
! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(ordered_pair(A,B),C)
<=> ( in(A,relation_dom(C))
& B = apply(C,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_funct_1) ).
fof(t8_funct_1_negated,plain,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(ordered_pair(A,B),C)
<=> ( in(A,relation_dom(C))
& B = apply(C,A) ) ) ),
inference(negate_conjecture,[status(cth)],[t8_funct_1]) ).
cnf(397,plain,
relation(sK93),
inference(cnf,[status(esa)],[t8_funct_1_negated]) ).
cnf(l0,plain,
relation(sK93),
inference(instantiation,[status(thm)],[397]) ).
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(128,plain,
( ~ in(X0,relation_dom(X1))
| ~ in(ordered_pair(X0,X2),X1)
| ~ function(X1)
| ~ relation(X1)
| X2 = apply(X1,X0) ),
inference(cnf,[status(esa)],[d4_funct_1]) ).
cnf(l1,plain,
( ~ in(sK91,relation_dom(sK93))
| ~ in(ordered_pair(sK91,sK92),sK93)
| ~ function(sK93)
| ~ relation(sK93)
| sK92 = apply(sK93,sK91) ),
inference(instantiation,[status(thm)],[128]) ).
cnf(398,plain,
function(sK93),
inference(cnf,[status(esa)],[t8_funct_1_negated]) ).
cnf(l4,plain,
function(sK93),
inference(instantiation,[status(thm)],[398]) ).
cnf(399,plain,
( in(ordered_pair(sK91,sK92),sK93)
| in(sK91,relation_dom(sK93)) ),
inference(cnf,[status(esa)],[t8_funct_1_negated]) ).
cnf(l2,plain,
( in(ordered_pair(sK91,sK92),sK93)
| in(sK91,relation_dom(sK93)) ),
inference(instantiation,[status(thm)],[399]) ).
fof(t20_relat_1,plain,
! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(A,relation_dom(C))
& in(B,relation_rng(C)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
cnf(311,plain,
( ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(cnf,[status(esa)],[t20_relat_1]) ).
cnf(l9,plain,
( ~ in(ordered_pair(sK91,sK92),sK93)
| ~ relation(sK93)
| in(sK91,relation_dom(sK93)) ),
inference(instantiation,[status(thm)],[311]) ).
cnf(127,plain,
( ~ in(X0,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| X2 != apply(X1,X0)
| in(ordered_pair(X0,X2),X1) ),
inference(cnf,[status(esa)],[d4_funct_1]) ).
cnf(l40,plain,
( ~ in(sK91,relation_dom(sK93))
| ~ function(sK93)
| ~ relation(sK93)
| sK92 != apply(sK93,sK91)
| in(ordered_pair(sK91,sK92),sK93) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(l43,plain,
function(sK93),
inference(instantiation,[status(thm)],[398]) ).
cnf(l49,plain,
( in(ordered_pair(sK91,sK92),sK93)
| in(sK91,relation_dom(sK93)) ),
inference(instantiation,[status(thm)],[399]) ).
cnf(400,plain,
( in(ordered_pair(sK91,sK92),sK93)
| sK92 = apply(sK93,sK91) ),
inference(cnf,[status(esa)],[t8_funct_1_negated]) ).
cnf(l50,plain,
( in(ordered_pair(sK91,sK92),sK93)
| sK92 = apply(sK93,sK91) ),
inference(instantiation,[status(thm)],[400]) ).
cnf(l22,plain,
( ~ in(sK91,relation_dom(sK93))
| ~ function(sK93)
| ~ relation(sK93)
| sK92 != apply(sK93,sK91)
| in(ordered_pair(sK91,sK92),sK93) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(l25,plain,
function(sK93),
inference(instantiation,[status(thm)],[398]) ).
cnf(l24,plain,
( in(ordered_pair(sK91,sK92),sK93)
| in(sK91,relation_dom(sK93)) ),
inference(instantiation,[status(thm)],[399]) ).
cnf(401,plain,
( ~ in(ordered_pair(sK91,sK92),sK93)
| ~ in(sK91,relation_dom(sK93))
| sK92 != apply(sK93,sK91) ),
inference(cnf,[status(esa)],[t8_funct_1_negated]) ).
cnf(l26,plain,
( ~ in(ordered_pair(sK91,sK92),sK93)
| ~ in(sK91,relation_dom(sK93))
| sK92 != apply(sK93,sK91) ),
inference(instantiation,[status(thm)],[401]) ).
cnf(l105,plain,
( ~ in(ordered_pair(sK91,sK92),sK93)
| ~ relation(sK93)
| in(sK91,relation_dom(sK93)) ),
inference(instantiation,[status(thm)],[311]) ).
cnf(l118,plain,
( ~ in(ordered_pair(sK91,sK92),sK93)
| ~ relation(sK93)
| in(sK91,relation_dom(sK93)) ),
inference(instantiation,[status(thm)],[311]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l9,l40,l43,l49,l50,l22,l25,l24,l26,l105,l118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU212+2 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 23:57:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.20/0.34 % launching worker at depth: 4
% 0.20/0.34 % launching worker at depth: 6
% 0.20/0.34 % launching worker at depth: 3
% 0.20/0.34 % launching worker at depth: 2
% 0.20/0.34 % launching worker at depth: 5
% 0.20/0.34 % launching worker at depth: 1
% 0.20/0.35 % launching worker at depth: 7
% 0.20/0.35 % launching worker at depth: 8
% 0.20/0.36 % launching worker at depth: 9
% 4.35/0.87 % launching worker at depth: 10
% 188.06/23.98 % SZS status Theorem for theBenchmark
% 188.06/23.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------