%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU142+1 : 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 : n020.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 03:44:35 PM UTC 2025
% Result : Theorem 6.88s 1.25s
% Output : CNFRefutation 6.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 59 ( 35 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 31 |; 0 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t69_enumset1,plain,
! [A] : unordered_pair(A,A) = singleton(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(t69_enumset1_negated,plain,
~ ! [A] : unordered_pair(A,A) = singleton(A),
inference(negate_conjecture,[status(cth)],[t69_enumset1]) ).
cnf(18,plain,
unordered_pair(sK4,sK4) != singleton(sK4),
inference(cnf,[status(esa)],[t69_enumset1_negated]) ).
cnf(l0,plain,
unordered_pair(sK4,sK4) != singleton(sK4),
inference(instantiation,[status(thm)],[18]) ).
fof(t2_tarski,plain,
! [A,B] :
( ! [C] :
( in(C,A)
<=> in(C,B) )
=> A = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
cnf(17,plain,
( ~ in(sK3(X0,X1),X0)
| ~ in(sK3(X0,X1),X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[t2_tarski]) ).
cnf(l1,plain,
( ~ in(sK3(unordered_pair(sK4,sK4),singleton(sK4)),unordered_pair(sK4,sK4))
| ~ in(sK3(unordered_pair(sK4,sK4),singleton(sK4)),singleton(sK4))
| unordered_pair(sK4,sK4) = singleton(sK4) ),
inference(instantiation,[status(thm)],[17]) ).
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(10,plain,
( X0 != unordered_pair(X1,X2)
| X3 != X2
| in(X3,X0) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
cnf(l2,plain,
( unordered_pair(sK4,sK4) != unordered_pair(sK4,sK4)
| sK3(unordered_pair(sK4,sK4),singleton(sK4)) != sK4
| in(sK3(unordered_pair(sK4,sK4),singleton(sK4)),unordered_pair(sK4,sK4)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(16,plain,
( X0 = X1
| in(sK3(X0,X1),X0)
| in(sK3(X0,X1),X1) ),
inference(cnf,[status(esa)],[t2_tarski]) ).
cnf(l3,plain,
( unordered_pair(sK4,sK4) = singleton(sK4)
| in(sK3(unordered_pair(sK4,sK4),singleton(sK4)),unordered_pair(sK4,sK4))
| in(sK3(unordered_pair(sK4,sK4),singleton(sK4)),singleton(sK4)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(8,plain,
( X0 != unordered_pair(X1,X2)
| ~ in(X3,X0)
| X3 = X1
| X3 = X2 ),
inference(cnf,[status(esa)],[d2_tarski]) ).
cnf(l6,plain,
( unordered_pair(sK4,sK4) != unordered_pair(sK4,sK4)
| ~ in(sK3(unordered_pair(sK4,sK4),singleton(sK4)),unordered_pair(sK4,sK4))
| sK3(unordered_pair(sK4,sK4),singleton(sK4)) = sK4
| sK3(unordered_pair(sK4,sK4),singleton(sK4)) = sK4 ),
inference(instantiation,[status(thm)],[8]) ).
fof(d1_tarski,plain,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(3,plain,
( X0 != singleton(X1)
| X2 != X1
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l23,plain,
( singleton(sK4) != singleton(sK4)
| sK3(unordered_pair(sK4,sK4),singleton(sK4)) != sK4
| in(sK3(unordered_pair(sK4,sK4),singleton(sK4)),singleton(sK4)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l87,plain,
( singleton(sK4) != singleton(sK4)
| sK3(unordered_pair(sK4,sK4),singleton(sK4)) != sK4
| in(sK3(unordered_pair(sK4,sK4),singleton(sK4)),singleton(sK4)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
( X0 != singleton(X1)
| ~ in(X2,X0)
| X2 = X1 ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l39,plain,
( singleton(sK4) != singleton(sK4)
| ~ in(sK3(unordered_pair(sK4,sK4),singleton(sK4)),singleton(sK4))
| sK3(unordered_pair(sK4,sK4),singleton(sK4)) = sK4 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l40,plain,
( unordered_pair(sK4,sK4) = singleton(sK4)
| in(sK3(unordered_pair(sK4,sK4),singleton(sK4)),unordered_pair(sK4,sK4))
| in(sK3(unordered_pair(sK4,sK4),singleton(sK4)),singleton(sK4)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l6,l23,l87,l39,l40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU142+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 23:35:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.20/0.43 % launching worker at depth: 11
% 6.88/1.25 % SZS status Theorem for theBenchmark
% 6.88/1.25 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------