%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU151+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 35.82s 4.90s
% Output : CNFRefutation 35.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 34 ( 28 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 19 ~; 11 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 24 ( 1 sgn 14 !; 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(81,plain,
unordered_pair(sK11,sK12) = unordered_pair(sK13,sK14),
inference(cnf,[status(esa)],[t10_zfmisc_1_negated]) ).
cnf(l0,plain,
unordered_pair(sK11,sK12) = unordered_pair(sK13,sK14),
inference(instantiation,[status(thm)],[81]) ).
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(22,plain,
( X0 != unordered_pair(X1,X2)
| ~ in(X3,X0)
| X3 = X1
| X3 = X2 ),
inference(cnf,[status(esa)],[d2_tarski]) ).
cnf(l1,plain,
( unordered_pair(sK11,sK12) != unordered_pair(sK13,sK14)
| ~ in(sK11,unordered_pair(sK11,sK12))
| sK11 = sK13
| sK11 = sK14 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(82,plain,
sK11 != sK13,
inference(cnf,[status(esa)],[t10_zfmisc_1_negated]) ).
cnf(l2,plain,
sK11 != sK13,
inference(instantiation,[status(thm)],[82]) ).
cnf(24,plain,
( X0 != unordered_pair(X1,X2)
| X3 != X2
| in(X3,X0) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
cnf(l7,plain,
( unordered_pair(sK11,sK12) != unordered_pair(sK12,sK11)
| sK11 != sK11
| in(sK11,unordered_pair(sK11,sK12)) ),
inference(instantiation,[status(thm)],[24]) ).
fof(commutativity_k2_tarski,plain,
! [A,B] : unordered_pair(A,B) = unordered_pair(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
cnf(2,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
cnf(l11,plain,
unordered_pair(sK11,sK12) = unordered_pair(sK12,sK11),
inference(instantiation,[status(thm)],[2]) ).
cnf(83,plain,
sK11 != sK14,
inference(cnf,[status(esa)],[t10_zfmisc_1_negated]) ).
cnf(l16,plain,
sK11 != sK14,
inference(instantiation,[status(thm)],[83]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7,l11,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU151+2 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 23:37:19 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 9
% 0.21/0.39 % launching worker at depth: 10
% 35.82/4.90 % SZS status Theorem for theBenchmark
% 35.82/4.90 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------