%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS067+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 : n020.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 08:46:35 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 71 ( 32 ~; 33 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_5,plain,
cUnsatisfiable(i2003_11_14_17_18_1956),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(16,plain,
cUnsatisfiable(i2003_11_14_17_18_1956),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_18_1956),
inference(instantiation,[status(thm)],[16]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ( cc(X)
& cb(X) )
| ( cb(X)
& ca(X) )
| ( cc(X)
& ca(X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(5,plain,
( ~ cUnsatisfiable(X0)
| cb(X0)
| sP0(X0)
| sP1(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_1956)
| cb(i2003_11_14_17_18_1956)
| sP0(i2003_11_14_17_18_1956)
| sP1(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(11,plain,
( ca(X0)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l4,plain,
( ca(i2003_11_14_17_18_1956)
| ~ sP0(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
( cc(X0)
| ~ sP1(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l5,plain,
( cc(i2003_11_14_17_18_1956)
| ~ sP1(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[10]) ).
fof(axiom_3,plain,
! [X] :
( ca(X)
=> ~ ( cc(X)
| cb(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(14,plain,
( ~ ca(X0)
| ~ cb(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l2,plain,
( ~ ca(i2003_11_14_17_18_1956)
| ~ cb(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(13,plain,
( ~ ca(X0)
| ~ cc(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l6,plain,
( ~ ca(i2003_11_14_17_18_1956)
| ~ cc(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(9,plain,
( ca(X0)
| ~ sP1(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l7,plain,
( ca(i2003_11_14_17_18_1956)
| ~ sP1(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l9,plain,
( ~ ca(i2003_11_14_17_18_1956)
| ~ cb(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(12,plain,
( cb(X0)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l11,plain,
( cb(i2003_11_14_17_18_1956)
| ~ sP0(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l16,plain,
( ca(i2003_11_14_17_18_1956)
| ~ sP0(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(4,plain,
( ~ cUnsatisfiable(X0)
| cc(X0)
| sP0(X0)
| sP1(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l18,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956)
| sP0(i2003_11_14_17_18_1956)
| sP1(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l19,plain,
( cc(i2003_11_14_17_18_1956)
| ~ sP1(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[10]) ).
fof(axiom_4,plain,
! [X] :
( cb(X)
=> ~ cc(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(15,plain,
( ~ cb(X0)
| ~ cc(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l20,plain,
( ~ cb(i2003_11_14_17_18_1956)
| ~ cc(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l21,plain,
( ~ cb(i2003_11_14_17_18_1956)
| ~ cc(i2003_11_14_17_18_1956) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l5,l2,l6,l7,l9,l11,l16,l18,l19,l20,l21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS067+1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 22:09:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------