%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN919+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 09:28:38 PM UTC 2025
% Result : Theorem 0.12s 0.32s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 27 ( 9 ~; 6 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,plain,
( ( ! [X,Y] :
( r(X,Y)
=> r(Y,X) )
& ! [X,Y,Z] :
( ( r(X,Y)
& r(Y,Z) )
=> r(X,Z) ) )
=> ! [X,Y] :
( r(X,Y)
=> r(X,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(prove_this_negated,plain,
~ ( ( ! [X,Y] :
( r(X,Y)
=> r(Y,X) )
& ! [X,Y,Z] :
( ( r(X,Y)
& r(Y,Z) )
=> r(X,Z) ) )
=> ! [X,Y] :
( r(X,Y)
=> r(X,X) ) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(2,plain,
r(sK1,sK2),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l0,plain,
r(sK1,sK2),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ r(X0,X1)
| ~ r(X1,X2)
| r(X0,X2) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l1,plain,
( ~ r(sK1,sK2)
| ~ r(sK2,sK1)
| r(sK1,sK1) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
( ~ r(X0,X1)
| r(X1,X0) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l2,plain,
( ~ r(sK1,sK2)
| r(sK2,sK1) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
~ r(sK1,sK1),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l3,plain,
~ r(sK1,sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN919+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Jul 22 18:49:04 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % launching worker at depth: 1
% 0.12/0.32 % launching worker at depth: 2
% 0.12/0.32 % launching worker at depth: 3
% 0.12/0.32 % launching worker at depth: 5
% 0.12/0.32 % launching worker at depth: 4
% 0.12/0.32 % launching worker at depth: 6
% 0.12/0.32 % launching worker at depth: 7
% 0.12/0.32 % launching worker at depth: 8
% 0.12/0.32 % launching worker at depth: 9
% 0.12/0.32 % SZS status Theorem for theBenchmark
% 0.12/0.32 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------