%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN366+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 09:27:33 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 21 ( 7 ~; 4 |; 2 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 16 ( 2 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2117,plain,
( ( ! [U,V] :
( big_r(U,U)
<=> big_r(U,V) )
& ! [W,Z] :
( big_r(W,W)
<=> big_r(Z,W) ) )
=> ( ? [X] : big_r(X,X)
=> ! [Y] : big_r(Y,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2117) ).
fof(x2117_negated,plain,
~ ( ( ! [U,V] :
( big_r(U,U)
<=> big_r(U,V) )
& ! [W,Z] :
( big_r(W,W)
<=> big_r(Z,W) ) )
=> ( ? [X] : big_r(X,X)
=> ! [Y] : big_r(Y,Y) ) ),
inference(negate_conjecture,[status(cth)],[x2117]) ).
cnf(4,plain,
big_r(sK1,sK1),
inference(cnf,[status(esa)],[x2117_negated]) ).
cnf(l0,plain,
big_r(sK1,sK1),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
( ~ big_r(X0,X0)
| big_r(X1,X0) ),
inference(cnf,[status(esa)],[x2117_negated]) ).
cnf(l1,plain,
( ~ big_r(sK1,sK1)
| big_r(sK2,sK1) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ big_r(X0,X1)
| big_r(X0,X0) ),
inference(cnf,[status(esa)],[x2117_negated]) ).
cnf(l2,plain,
( ~ big_r(sK2,sK1)
| big_r(sK2,sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
~ big_r(sK2,sK2),
inference(cnf,[status(esa)],[x2117_negated]) ).
cnf(l3,plain,
~ big_r(sK2,sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN366+1 : TPTP v9.0.0. Released v2.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 15:57:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------