%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS126+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 : n021.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 : Thu Jul 24 08:46:43 PM UTC 2025
% Result : Unsatisfiable 0.18s 0.34s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 11 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 1 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,plain,
! [X] :
( cd1xcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(14,plain,
( cd1xcomp(X0)
| ra_Px2(X0,sK6(X0)) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l0,plain,
( cd1xcomp(i2003_11_14_17_22_23554)
| ra_Px2(i2003_11_14_17_22_23554,sK6(i2003_11_14_17_22_23554)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(13,plain,
( ~ cd1xcomp(X0)
| ~ ra_Px2(X0,X1) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l3,plain,
( ~ cd1xcomp(i2003_11_14_17_22_23554)
| ~ ra_Px2(i2003_11_14_17_22_23554,sK6(i2003_11_14_17_22_23554)) ),
inference(instantiation,[status(thm)],[13]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
=> cd1xcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(4,plain,
( ~ cUnsatisfiable(X0)
| cd1xcomp(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l5,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_23554)
| cd1xcomp(i2003_11_14_17_22_23554) ),
inference(instantiation,[status(thm)],[4]) ).
fof(axiom_11,plain,
cUnsatisfiable(i2003_11_14_17_22_23554),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
cnf(17,plain,
cUnsatisfiable(i2003_11_14_17_22_23554),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l7,plain,
cUnsatisfiable(i2003_11_14_17_22_23554),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1,plain,
( ~ cd1xcomp(i2003_11_14_17_22_23554)
| ~ ra_Px2(i2003_11_14_17_22_23554,sK4(i2003_11_14_17_22_23554)) ),
inference(instantiation,[status(thm)],[13]) ).
fof(axiom_7,plain,
! [X] :
( cd1(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(11,plain,
( ~ cd1(X0)
| ra_Px2(X0,sK4(X0)) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l2,plain,
( ~ cd1(i2003_11_14_17_22_23554)
| ra_Px2(i2003_11_14_17_22_23554,sK4(i2003_11_14_17_22_23554)) ),
inference(instantiation,[status(thm)],[11]) ).
fof(axiom_3,plain,
! [X] :
( cUnsatisfiable(X)
=> cd1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(5,plain,
( ~ cUnsatisfiable(X0)
| cd1(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_23554)
| cd1(i2003_11_14_17_22_23554) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l6,plain,
cUnsatisfiable(i2003_11_14_17_22_23554),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l5,l7,l1,l2,l4,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS126+1 : TPTP v9.0.0. Released v3.1.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 22:14:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.18/0.34 % launching worker at depth: 9
% 0.18/0.34 % launching worker at depth: 10
% 0.18/0.34 % SZS status Theorem for theBenchmark
% 0.18/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------