%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS099+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 : n032.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 0.08s 0.27s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 39 ( 9 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 43 ( 17 ~; 12 |; 10 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 6 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_5,plain,
cUnsatisfiable(i2003_11_14_17_20_29215),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(33,plain,
cUnsatisfiable(i2003_11_14_17_20_29215),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_20_29215),
inference(instantiation,[status(thm)],[33]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y0,Y1,Y2] :
( rtt(X,Y0)
& rtt(X,Y1)
& rtt(X,Y2)
& Y0 != Y1
& Y0 != Y2
& Y1 != Y2 )
& ! [Y] :
( rtt(X,Y)
=> ca(Y) )
& ! [Y0,Y1] :
( ( rtt(X,Y0)
& rtt(X,Y1) )
=> Y0 = Y1 )
& ! [Y0,Y1] :
( ( rtt(X,Y0)
& rtt(X,Y1) )
=> Y0 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(22,plain,
( ~ cUnsatisfiable(X0)
| ~ rtt(X0,X1)
| ~ rtt(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_29215)
| ~ rtt(i2003_11_14_17_20_29215,sK2(i2003_11_14_17_20_29215))
| ~ rtt(i2003_11_14_17_20_29215,sK3(i2003_11_14_17_20_29215))
| sK2(i2003_11_14_17_20_29215) = sK3(i2003_11_14_17_20_29215) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(16,plain,
( ~ cUnsatisfiable(X0)
| rtt(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l3,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_29215)
| rtt(i2003_11_14_17_20_29215,sK3(i2003_11_14_17_20_29215)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(19,plain,
( sK2(X0) != sK3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l8,plain,
( sK2(i2003_11_14_17_20_29215) != sK3(i2003_11_14_17_20_29215)
| ~ cUnsatisfiable(i2003_11_14_17_20_29215) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(15,plain,
( ~ cUnsatisfiable(X0)
| rtt(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l7,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_29215)
| rtt(i2003_11_14_17_20_29215,sK2(i2003_11_14_17_20_29215)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l8,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KRS099+1 : TPTP v9.0.0. Released v3.1.0.
% 0.00/0.08 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.26 % Computer : n032.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Sun Jul 20 22:12:04 EDT 2025
% 0.08/0.26 % CPUTime :
% 0.08/0.27 % launching worker at depth: 2
% 0.08/0.27 % launching worker at depth: 5
% 0.08/0.27 % launching worker at depth: 3
% 0.08/0.27 % launching worker at depth: 4
% 0.08/0.27 % launching worker at depth: 1
% 0.08/0.27 % launching worker at depth: 6
% 0.08/0.27 % launching worker at depth: 7
% 0.08/0.27 % launching worker at depth: 8
% 0.08/0.27 % launching worker at depth: 9
% 0.08/0.27 % SZS status Theorem for theBenchmark
% 0.08/0.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------