%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET108+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 03:31:34 PM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 1 unt; 0 def)
% Number of atoms : 41 ( 24 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 51 ( 21 ~; 18 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 2 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(existence_of_first_and_second,plain,
! [X] :
? [U,V] :
( ( member(U,universal_class)
& member(V,universal_class)
& X = ordered_pair(U,V) )
| ( ~ ? [Y,Z] :
( member(Y,universal_class)
& member(Z,universal_class)
& X = ordered_pair(Y,Z) )
& U = X
& V = X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_first_and_second) ).
fof(existence_of_first_and_second_negated,plain,
~ ! [X] :
? [U,V] :
( ( member(U,universal_class)
& member(V,universal_class)
& X = ordered_pair(U,V) )
| ( ~ ? [Y,Z] :
( member(Y,universal_class)
& member(Z,universal_class)
& X = ordered_pair(Y,Z) )
& U = X
& V = X ) ),
inference(negate_conjecture,[status(cth)],[existence_of_first_and_second]) ).
cnf(89,plain,
( ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| sK10 != ordered_pair(X0,X1) ),
inference(cnf,[status(esa)],[existence_of_first_and_second_negated]) ).
cnf(l0,plain,
( ~ member(sK11(sK10,sK10),universal_class)
| ~ member(sK12(sK10,sK10),universal_class)
| sK10 != ordered_pair(sK11(sK10,sK10),sK12(sK10,sK10)) ),
inference(instantiation,[status(thm)],[89]) ).
cnf(92,plain,
( X0 != sK10
| X1 != sK10
| sK10 = ordered_pair(sK11(X0,X1),sK12(X0,X1)) ),
inference(cnf,[status(esa)],[existence_of_first_and_second_negated]) ).
cnf(l3,plain,
( sK10 != sK10
| sK10 != sK10
| sK10 = ordered_pair(sK11(sK10,sK10),sK12(sK10,sK10)) ),
inference(instantiation,[status(thm)],[92]) ).
cnf(90,plain,
( X0 != sK10
| X1 != sK10
| member(sK11(X0,X1),universal_class) ),
inference(cnf,[status(esa)],[existence_of_first_and_second_negated]) ).
cnf(l2,plain,
( sK10 != sK10
| sK10 != sK10
| member(sK11(sK10,sK10),universal_class) ),
inference(instantiation,[status(thm)],[90]) ).
cnf(91,plain,
( X0 != sK10
| X1 != sK10
| member(sK12(X0,X1),universal_class) ),
inference(cnf,[status(esa)],[existence_of_first_and_second_negated]) ).
cnf(l1,plain,
( sK10 != sK10
| sK10 != sK10
| member(sK12(sK10,sK10),universal_class) ),
inference(instantiation,[status(thm)],[91]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l2,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET108+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 19:57:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 4
% 0.12/0.34 % launching worker at depth: 3
% 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: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------