%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS101+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 08:46:40 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 58 ( 6 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 68 ( 31 ~; 26 |; 6 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn 6 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,plain,
cUnsatisfiable(i2003_11_14_17_20_36582),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(29,plain,
cUnsatisfiable(i2003_11_14_17_20_36582),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_20_36582),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ! [Y] :
( rr(X,Y)
=> ( ~ ? [Z0,Z1] :
( rs(Y,Z0)
& rs(Y,Z1)
& Z0 != Z1 )
| cc(Y) ) )
& ? [Y] :
( rr(X,Y)
& ~ ! [Z0,Z1] :
( ( rs(Y,Z0)
& rs(Y,Z1) )
=> Z0 = Z1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(16,plain,
( ~ cUnsatisfiable(X0)
| ~ rs(X1,X2)
| ~ rs(X1,X3)
| ~ rr(X0,X1)
| X2 = X3
| cc(X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| ~ rs(sK1(i2003_11_14_17_20_36582),sK2(i2003_11_14_17_20_36582))
| ~ rs(sK1(i2003_11_14_17_20_36582),sK3(i2003_11_14_17_20_36582))
| ~ rr(i2003_11_14_17_20_36582,sK1(i2003_11_14_17_20_36582))
| sK2(i2003_11_14_17_20_36582) = sK3(i2003_11_14_17_20_36582)
| cc(sK1(i2003_11_14_17_20_36582)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(17,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l92,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| rr(i2003_11_14_17_20_36582,sK1(i2003_11_14_17_20_36582)) ),
inference(instantiation,[status(thm)],[17]) ).
fof(axiom_3,plain,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(28,plain,
( ~ cc(X0)
| ~ cd(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l97,plain,
( ~ cc(sK1(i2003_11_14_17_20_36582))
| ~ cd(sK1(i2003_11_14_17_20_36582)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(15,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| cd(X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l102,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| ~ rr(i2003_11_14_17_20_36582,sK1(i2003_11_14_17_20_36582))
| cd(sK1(i2003_11_14_17_20_36582)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(18,plain,
( ~ cUnsatisfiable(X0)
| rs(sK1(X0),sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l60,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| rs(sK1(i2003_11_14_17_20_36582),sK2(i2003_11_14_17_20_36582)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(19,plain,
( ~ cUnsatisfiable(X0)
| rs(sK1(X0),sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| rs(sK1(i2003_11_14_17_20_36582),sK3(i2003_11_14_17_20_36582)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(20,plain,
( sK2(X0) != sK3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l93,plain,
( sK2(i2003_11_14_17_20_36582) != sK3(i2003_11_14_17_20_36582)
| ~ cUnsatisfiable(i2003_11_14_17_20_36582) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l130,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| rr(i2003_11_14_17_20_36582,sK1(i2003_11_14_17_20_36582)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l92,l97,l102,l60,l4,l93,l130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS101+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 22:12:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.19/0.35 % launching worker at depth: 10
% 0.19/0.38 % launching worker at depth: 11
% 0.19/0.44 % SZS status Theorem for theBenchmark
% 0.19/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------