%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS097+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 08:46:39 PM UTC 2025
% Result : Unsatisfiable 0.09s 0.35s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 43 ( 3 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 46 ( 21 ~; 16 |; 8 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 2 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,plain,
cUnsatisfiable(i2003_11_14_17_20_21603),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(41,plain,
cUnsatisfiable(i2003_11_14_17_20_21603),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_20_21603),
inference(instantiation,[status(thm)],[41]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y0] : rr(X,Y0)
& ? [Y] :
( rr(X,Y)
& cd(Y) )
& ~ ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& Y0 != Y1 )
& ? [Y] :
( rr(X,Y)
& cc(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(34,plain,
( ~ cUnsatisfiable(X0)
| cc(sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_21603)
| cc(sK3(i2003_11_14_17_20_21603)) ),
inference(instantiation,[status(thm)],[34]) ).
fof(axiom_6,plain,
! [X] :
~ ( cd(X)
& cc(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(43,plain,
( ~ cc(X0)
| ~ cd(X0) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l132,plain,
( ~ cc(sK3(i2003_11_14_17_20_21603))
| ~ cd(sK3(i2003_11_14_17_20_21603)) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(32,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l138,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_21603)
| ~ rr(i2003_11_14_17_20_21603,sK2(i2003_11_14_17_20_21603))
| ~ rr(i2003_11_14_17_20_21603,sK3(i2003_11_14_17_20_21603))
| sK2(i2003_11_14_17_20_21603) = sK3(i2003_11_14_17_20_21603) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(30,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l139,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_21603)
| rr(i2003_11_14_17_20_21603,sK2(i2003_11_14_17_20_21603)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(31,plain,
( ~ cUnsatisfiable(X0)
| cd(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l135,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_21603)
| cd(sK2(i2003_11_14_17_20_21603)) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(33,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l145,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_21603)
| rr(i2003_11_14_17_20_21603,sK3(i2003_11_14_17_20_21603)) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l132,l138,l139,l135,l145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.06 % Problem : KRS097+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.25 % Computer : n020.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Sun Jul 20 22:12:19 EDT 2025
% 0.06/0.25 % CPUTime :
% 0.06/0.25 % launching worker at depth: 2
% 0.06/0.25 % launching worker at depth: 3
% 0.06/0.25 % launching worker at depth: 5
% 0.06/0.25 % launching worker at depth: 1
% 0.06/0.25 % launching worker at depth: 4
% 0.06/0.25 % launching worker at depth: 6
% 0.06/0.25 % launching worker at depth: 7
% 0.06/0.25 % launching worker at depth: 8
% 0.06/0.25 % launching worker at depth: 9
% 0.06/0.26 % launching worker at depth: 10
% 0.09/0.32 % launching worker at depth: 11
% 0.09/0.35 % SZS status Theorem for theBenchmark
% 0.09/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------