%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET020+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 03:31:09 PM UTC 2025
% Result : Theorem 5.24s 1.02s
% Output : CNFRefutation 5.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 40 ( 19 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 34 ( 13 ~; 10 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(unique_1st_and_2nd_in_pair_of_sets1,plain,
! [U,V,X] :
( ( member(U,universal_class)
& member(V,universal_class)
& X = ordered_pair(U,V) )
=> ( first(X) = U
& second(X) = V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_sets1) ).
fof(unique_1st_and_2nd_in_pair_of_sets1_negated,plain,
~ ! [U,V,X] :
( ( member(U,universal_class)
& member(V,universal_class)
& X = ordered_pair(U,V) )
=> ( first(X) = U
& second(X) = V ) ),
inference(negate_conjecture,[status(cth)],[unique_1st_and_2nd_in_pair_of_sets1]) ).
cnf(92,plain,
( first(sK12) != sK10
| second(sK12) != sK11 ),
inference(cnf,[status(esa)],[unique_1st_and_2nd_in_pair_of_sets1_negated]) ).
cnf(l0,plain,
( first(sK12) != sK10
| second(sK12) != sK11 ),
inference(instantiation,[status(thm)],[92]) ).
fof(first_second,plain,
! [X,Y] :
( ( member(X,universal_class)
& member(Y,universal_class) )
=> ( first(ordered_pair(X,Y)) = X
& second(ordered_pair(X,Y)) = Y ) ),
file('Axioms/SET005+0.ax',first_second) ).
cnf(18,plain,
( ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| second(ordered_pair(X0,X1)) = X1 ),
inference(cnf,[status(esa)],[first_second]) ).
cnf(l29,plain,
( ~ member(sK10,universal_class)
| ~ member(sK11,universal_class)
| second(ordered_pair(sK10,sK11)) = sK11 ),
inference(instantiation,[status(thm)],[18]) ).
cnf(91,plain,
sK12 = ordered_pair(sK10,sK11),
inference(cnf,[status(esa)],[unique_1st_and_2nd_in_pair_of_sets1_negated]) ).
cnf(l27,plain,
sK12 = ordered_pair(sK10,sK11),
inference(instantiation,[status(thm)],[91]) ).
cnf(90,plain,
member(sK11,universal_class),
inference(cnf,[status(esa)],[unique_1st_and_2nd_in_pair_of_sets1_negated]) ).
cnf(l31,plain,
member(sK11,universal_class),
inference(instantiation,[status(thm)],[90]) ).
cnf(89,plain,
member(sK10,universal_class),
inference(cnf,[status(esa)],[unique_1st_and_2nd_in_pair_of_sets1_negated]) ).
cnf(l30,plain,
member(sK10,universal_class),
inference(instantiation,[status(thm)],[89]) ).
cnf(l12,plain,
sK12 = ordered_pair(sK10,sK11),
inference(instantiation,[status(thm)],[91]) ).
cnf(17,plain,
( ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| first(ordered_pair(X0,X1)) = X0 ),
inference(cnf,[status(esa)],[first_second]) ).
cnf(l2,plain,
( ~ member(sK10,universal_class)
| ~ member(sK11,universal_class)
| first(ordered_pair(sK10,sK11)) = sK10 ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l6,plain,
member(sK10,universal_class),
inference(instantiation,[status(thm)],[89]) ).
cnf(l9,plain,
member(sK11,universal_class),
inference(instantiation,[status(thm)],[90]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l29,l27,l31,l30,l12,l2,l6,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET020+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.07/0.12 % 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 19:20:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 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: 7
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.38 % launching worker at depth: 10
% 5.24/1.02 % SZS status Theorem for theBenchmark
% 5.24/1.02 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------