%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU151+3 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.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 03:44:38 PM UTC 2025
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 31 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 19 ~; 11 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t10_zfmisc_1,plain,
! [A,B,C,D] :
~ ( unordered_pair(A,B) = unordered_pair(C,D)
& A != C
& A != D ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_zfmisc_1) ).
fof(t10_zfmisc_1_negated,plain,
~ ! [A,B,C,D] :
~ ( unordered_pair(A,B) = unordered_pair(C,D)
& A != C
& A != D ),
inference(negate_conjecture,[status(cth)],[t10_zfmisc_1]) ).
cnf(12,plain,
unordered_pair(sK4,sK5) = unordered_pair(sK6,sK7),
inference(cnf,[status(esa)],[t10_zfmisc_1_negated]) ).
cnf(l0,plain,
unordered_pair(sK4,sK5) = unordered_pair(sK6,sK7),
inference(instantiation,[status(thm)],[12]) ).
fof(d2_tarski,plain,
! [A,B,C] :
( C = unordered_pair(A,B)
<=> ! [D] :
( in(D,C)
<=> ( D = A
| D = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
cnf(2,plain,
( X0 != unordered_pair(X1,X2)
| ~ in(X3,X0)
| X3 = X1
| X3 = X2 ),
inference(cnf,[status(esa)],[d2_tarski]) ).
cnf(l1,plain,
( unordered_pair(sK4,sK5) != unordered_pair(sK6,sK7)
| ~ in(sK4,unordered_pair(sK4,sK5))
| sK4 = sK6
| sK4 = sK7 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(14,plain,
sK4 != sK7,
inference(cnf,[status(esa)],[t10_zfmisc_1_negated]) ).
cnf(l2,plain,
sK4 != sK7,
inference(instantiation,[status(thm)],[14]) ).
cnf(3,plain,
( X0 != unordered_pair(X1,X2)
| X3 != X1
| in(X3,X0) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
cnf(l4,plain,
( unordered_pair(sK4,sK5) != unordered_pair(sK4,sK5)
| sK4 != sK4
| in(sK4,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(13,plain,
sK4 != sK6,
inference(cnf,[status(esa)],[t10_zfmisc_1_negated]) ).
cnf(l3,plain,
sK4 != sK6,
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU151+3 : TPTP v9.0.0. Released v3.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n029.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 23:37:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % launching worker at depth: 1
% 0.13/0.33 % launching worker at depth: 5
% 0.13/0.33 % launching worker at depth: 4
% 0.13/0.33 % launching worker at depth: 2
% 0.13/0.33 % launching worker at depth: 3
% 0.13/0.33 % launching worker at depth: 6
% 0.13/0.33 % launching worker at depth: 7
% 0.13/0.33 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------