%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS123+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 : n024.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 08:46:42 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 20 ~; 18 |; 1 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 1 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_6,plain,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(11,plain,
( ra_Px1(X0,sK1(X0))
| cd(X0) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l0,plain,
( ra_Px1(i2003_11_14_17_22_02803,sK1(i2003_11_14_17_22_02803))
| cd(i2003_11_14_17_22_02803) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l1,plain,
( ~ ra_Px1(i2003_11_14_17_22_02803,sK1(i2003_11_14_17_22_02803))
| ~ cd(i2003_11_14_17_22_02803) ),
inference(instantiation,[status(thm)],[10]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( cc(X)
& cd(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(6,plain,
( ~ cc(X0)
| ~ cd(X0)
| cUnsatisfiable(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l3,plain,
( ~ cc(i2003_11_14_17_22_02803)
| ~ cd(i2003_11_14_17_22_02803)
| cUnsatisfiable(i2003_11_14_17_22_02803) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_02803)
| cc(i2003_11_14_17_22_02803) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l6,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_02803)
| cc(i2003_11_14_17_22_02803) ),
inference(instantiation,[status(thm)],[4]) ).
fof(axiom_12,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
cnf(20,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l7,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(instantiation,[status(thm)],[20]) ).
fof(axiom_3,plain,
! [X] :
( cc(X)
=> cdxcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(7,plain,
( ~ cc(X0)
| cdxcomp(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l8,plain,
( ~ cc(i2003_11_14_17_22_02803)
| cdxcomp(i2003_11_14_17_22_02803) ),
inference(instantiation,[status(thm)],[7]) ).
fof(axiom_7,plain,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(12,plain,
( ~ cdxcomp(X0)
| ra_Px1(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l9,plain,
( ~ cdxcomp(i2003_11_14_17_22_02803)
| ra_Px1(i2003_11_14_17_22_02803,sK2(i2003_11_14_17_22_02803)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l10,plain,
( ~ ra_Px1(i2003_11_14_17_22_02803,sK2(i2003_11_14_17_22_02803))
| ~ cd(i2003_11_14_17_22_02803) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(5,plain,
( ~ cUnsatisfiable(X0)
| cd(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l2,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_02803)
| cd(i2003_11_14_17_22_02803) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l5,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(instantiation,[status(thm)],[20]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l6,l7,l8,l9,l10,l2,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS123+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.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 : Sun Jul 20 22:14:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 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: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------