%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS124+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 0.20s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 55 ( 24 ~; 22 |; 3 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 1 sgn 6 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_6,plain,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(13,plain,
( cd(X0)
| ra_Px1(X0,sK4(X0)) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l0,plain,
( cd(sK1(i2003_11_14_17_22_10903))
| ra_Px1(sK1(i2003_11_14_17_22_10903),sK4(sK1(i2003_11_14_17_22_10903))) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(12,plain,
( ~ cd(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l4,plain,
( ~ cd(sK1(i2003_11_14_17_22_10903))
| ~ ra_Px1(sK1(i2003_11_14_17_22_10903),sK4(sK1(i2003_11_14_17_22_10903))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l1,plain,
( ~ cd(sK1(i2003_11_14_17_22_10903))
| ~ ra_Px1(sK1(i2003_11_14_17_22_10903),sK5(sK1(i2003_11_14_17_22_10903))) ),
inference(instantiation,[status(thm)],[12]) ).
fof(axiom_7,plain,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(14,plain,
( ~ cdxcomp(X0)
| ra_Px1(X0,sK5(X0)) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l2,plain,
( ~ cdxcomp(sK1(i2003_11_14_17_22_10903))
| ra_Px1(sK1(i2003_11_14_17_22_10903),sK5(sK1(i2003_11_14_17_22_10903))) ),
inference(instantiation,[status(thm)],[14]) ).
fof(axiom_3,plain,
! [X] :
( cc(X)
=> cdxcomp(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(9,plain,
( ~ cc(X0)
| cdxcomp(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l6,plain,
( ~ cc(sK1(i2003_11_14_17_22_10903))
| cdxcomp(sK1(i2003_11_14_17_22_10903)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(axiom_12,plain,
! [X] :
( ca_Ax3(X)
<=> ( cd(X)
& cc(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
cnf(22,plain,
( ~ ca_Ax3(X0)
| cd(X0) ),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l5,plain,
( ~ ca_Ax3(sK1(i2003_11_14_17_22_10903))
| cd(sK1(i2003_11_14_17_22_10903)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(23,plain,
( ~ ca_Ax3(X0)
| cc(X0) ),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l7,plain,
( ~ ca_Ax3(sK1(i2003_11_14_17_22_10903))
| cc(sK1(i2003_11_14_17_22_10903)) ),
inference(instantiation,[status(thm)],[23]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cowlThing(Y) )
& ! [Y] :
( rr(X,Y)
=> ca_Ax3(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(6,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ca_Ax3(X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l8,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_10903)
| ~ rr(i2003_11_14_17_22_10903,sK1(i2003_11_14_17_22_10903))
| ca_Ax3(sK1(i2003_11_14_17_22_10903)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l9,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_10903)
| rr(i2003_11_14_17_22_10903,sK1(i2003_11_14_17_22_10903)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l11,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_10903)
| ~ rr(i2003_11_14_17_22_10903,sK1(i2003_11_14_17_22_10903))
| ca_Ax3(sK1(i2003_11_14_17_22_10903)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l16,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_10903)
| rr(i2003_11_14_17_22_10903,sK1(i2003_11_14_17_22_10903)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(axiom_13,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
cnf(25,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l12,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(instantiation,[status(thm)],[25]) ).
cnf(l20,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(instantiation,[status(thm)],[25]) ).
cnf(l13,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(instantiation,[status(thm)],[25]) ).
cnf(l18,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(instantiation,[status(thm)],[25]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l1,l2,l6,l5,l7,l8,l9,l11,l16,l12,l20,l13,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS124+1 : TPTP v9.0.0. Released v3.1.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n019.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 :
% 0.20/0.35 % launching worker at depth: 1
% 0.20/0.35 % launching worker at depth: 8
% 0.20/0.35 % launching worker at depth: 2
% 0.20/0.35 % launching worker at depth: 4
% 0.20/0.35 % launching worker at depth: 3
% 0.20/0.35 % launching worker at depth: 5
% 0.20/0.35 % launching worker at depth: 6
% 0.20/0.35 % launching worker at depth: 7
% 0.20/0.35 % launching worker at depth: 9
% 0.20/0.35 % launching worker at depth: 10
% 0.20/0.35 % launching worker at depth: 11
% 0.20/0.35 % SZS status Theorem for theBenchmark
% 0.20/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------