%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM414+1 : 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 : n031.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 12:28:05 PM UTC 2025
% Result : Theorem 3.62s 0.81s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 64 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 33 ~; 22 |; 7 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t50_ordinal1,plain,
! [A] :
( ordinal(A)
=> ! [B] :
( ordinal(B)
=> ~ ( ~ proper_subset(A,B)
& A != B
& ~ proper_subset(B,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_ordinal1) ).
fof(t50_ordinal1_negated,plain,
~ ! [A] :
( ordinal(A)
=> ! [B] :
( ordinal(B)
=> ~ ( ~ proper_subset(A,B)
& A != B
& ~ proper_subset(B,A) ) ) ),
inference(negate_conjecture,[status(cth)],[t50_ordinal1]) ).
cnf(79,plain,
ordinal(sK16),
inference(cnf,[status(esa)],[t50_ordinal1_negated]) ).
cnf(l0,plain,
ordinal(sK16),
inference(instantiation,[status(thm)],[79]) ).
fof(connectedness_r1_ordinal1,plain,
! [A,B] :
( ( ordinal(A)
& ordinal(B) )
=> ( ordinal_subset(A,B)
| ordinal_subset(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).
cnf(11,plain,
( ~ ordinal(X0)
| ~ ordinal(X1)
| ordinal_subset(X0,X1)
| ordinal_subset(X1,X0) ),
inference(cnf,[status(esa)],[connectedness_r1_ordinal1]) ).
cnf(l1,plain,
( ~ ordinal(sK16)
| ~ ordinal(sK17)
| ordinal_subset(sK16,sK17)
| ordinal_subset(sK17,sK16) ),
inference(instantiation,[status(thm)],[11]) ).
fof(redefinition_r1_ordinal1,plain,
! [A,B] :
( ( ordinal(A)
& ordinal(B) )
=> ( ordinal_subset(A,B)
<=> subset(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
cnf(70,plain,
( ~ ordinal(X0)
| ~ ordinal(X1)
| ~ ordinal_subset(X0,X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).
cnf(l2,plain,
( ~ ordinal(sK16)
| ~ ordinal(sK17)
| ~ ordinal_subset(sK16,sK17)
| subset(sK16,sK17) ),
inference(instantiation,[status(thm)],[70]) ).
fof(d8_xboole_0,plain,
! [A,B] :
( proper_subset(A,B)
<=> ( subset(A,B)
& A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_xboole_0) ).
cnf(14,plain,
( ~ subset(X0,X1)
| proper_subset(X0,X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[d8_xboole_0]) ).
cnf(l4,plain,
( ~ subset(sK16,sK17)
| proper_subset(sK16,sK17)
| sK16 = sK17 ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l36,plain,
( ~ ordinal(sK17)
| ~ ordinal(sK16)
| ~ ordinal_subset(sK17,sK16)
| subset(sK17,sK16) ),
inference(instantiation,[status(thm)],[70]) ).
cnf(l37,plain,
( ~ subset(sK17,sK16)
| proper_subset(sK17,sK16)
| sK17 = sK16 ),
inference(instantiation,[status(thm)],[14]) ).
cnf(80,plain,
ordinal(sK17),
inference(cnf,[status(esa)],[t50_ordinal1_negated]) ).
cnf(l10,plain,
ordinal(sK17),
inference(instantiation,[status(thm)],[80]) ).
cnf(81,plain,
~ proper_subset(sK16,sK17),
inference(cnf,[status(esa)],[t50_ordinal1_negated]) ).
cnf(l20,plain,
~ proper_subset(sK16,sK17),
inference(instantiation,[status(thm)],[81]) ).
cnf(l117,plain,
ordinal(sK17),
inference(instantiation,[status(thm)],[80]) ).
cnf(82,plain,
sK16 != sK17,
inference(cnf,[status(esa)],[t50_ordinal1_negated]) ).
cnf(l82,plain,
sK16 != sK17,
inference(instantiation,[status(thm)],[82]) ).
cnf(l51,plain,
ordinal(sK17),
inference(instantiation,[status(thm)],[80]) ).
cnf(83,plain,
~ proper_subset(sK17,sK16),
inference(cnf,[status(esa)],[t50_ordinal1_negated]) ).
cnf(l38,plain,
~ proper_subset(sK17,sK16),
inference(instantiation,[status(thm)],[83]) ).
cnf(l180,plain,
sK16 != sK17,
inference(instantiation,[status(thm)],[82]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l36,l37,l10,l20,l117,l82,l51,l38,l180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM414+1 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.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 11:56:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 1.71/0.54 % launching worker at depth: 12
% 3.62/0.81 % SZS status Theorem for theBenchmark
% 3.62/0.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------