%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS110+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 : 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 08:46:41 PM UTC 2025
% Result : Unsatisfiable 1.88s 0.56s
% Output : CNFRefutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 45 ( 19 ~; 17 |; 4 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 1 sgn 5 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,plain,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(32,plain,
( cp(X0)
| ra_Px1(X0,sK4(X0)) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l0,plain,
( cp(sK1(i2003_11_14_17_21_12565))
| ra_Px1(sK1(i2003_11_14_17_21_12565),sK4(sK1(i2003_11_14_17_21_12565))) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(31,plain,
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l29,plain,
( ~ cp(sK1(i2003_11_14_17_21_12565))
| ~ ra_Px1(sK1(i2003_11_14_17_21_12565),sK4(sK1(i2003_11_14_17_21_12565))) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(l1,plain,
( ~ cp(sK1(i2003_11_14_17_21_12565))
| ~ ra_Px1(sK1(i2003_11_14_17_21_12565),sK5(sK1(i2003_11_14_17_21_12565))) ),
inference(instantiation,[status(thm)],[31]) ).
fof(axiom_5,plain,
! [X] :
( ca_Ax2(X)
<=> ( cp(X)
& ? [Y] :
( rinvS(X,Y)
& cp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(35,plain,
( ~ ca_Ax2(X0)
| cp(X0) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l32,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_12565))
| cp(sK1(i2003_11_14_17_21_12565)) ),
inference(instantiation,[status(thm)],[35]) ).
fof(axiom_4,plain,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(33,plain,
( ~ cpxcomp(X0)
| ra_Px1(X0,sK5(X0)) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l67,plain,
( ~ cpxcomp(sK1(i2003_11_14_17_21_12565))
| ra_Px1(sK1(i2003_11_14_17_21_12565),sK5(sK1(i2003_11_14_17_21_12565))) ),
inference(instantiation,[status(thm)],[33]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y] :
( rs(X,Y)
=> cpxcomp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(28,plain,
( ~ cUnsatisfiable(X0)
| ~ rs(X0,X1)
| cpxcomp(X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l71,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ rs(i2003_11_14_17_21_12565,sK1(i2003_11_14_17_21_12565))
| cpxcomp(sK1(i2003_11_14_17_21_12565)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(26,plain,
( ~ cUnsatisfiable(X0)
| rs(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l75,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| rs(i2003_11_14_17_21_12565,sK1(i2003_11_14_17_21_12565)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(27,plain,
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l46,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ca_Ax2(sK1(i2003_11_14_17_21_12565)) ),
inference(instantiation,[status(thm)],[27]) ).
fof(axiom_12,plain,
cUnsatisfiable(i2003_11_14_17_21_12565),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
cnf(48,plain,
cUnsatisfiable(i2003_11_14_17_21_12565),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l49,plain,
cUnsatisfiable(i2003_11_14_17_21_12565),
inference(instantiation,[status(thm)],[48]) ).
cnf(l89,plain,
cUnsatisfiable(i2003_11_14_17_21_12565),
inference(instantiation,[status(thm)],[48]) ).
cnf(l82,plain,
cUnsatisfiable(i2003_11_14_17_21_12565),
inference(instantiation,[status(thm)],[48]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l29,l1,l32,l67,l71,l75,l46,l49,l89,l82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS110+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 22:13:21 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 5
% 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: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.40 % launching worker at depth: 11
% 1.73/0.55 % launching worker at depth: 12
% 1.88/0.56 % SZS status Theorem for theBenchmark
% 1.88/0.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------