%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS069+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 : n023.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 08:46:36 PM UTC 2025
% Result : Unsatisfiable 2.43s 0.69s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 4 unt; 0 def)
% Number of atoms : 75 ( 10 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 75 ( 32 ~; 29 |; 8 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 33 ( 0 sgn 13 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_6,plain,
cUnsatisfiable(i2003_11_14_17_18_2750),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(27,plain,
cUnsatisfiable(i2003_11_14_17_18_2750),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_18_2750),
inference(instantiation,[status(thm)],[27]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rf2(X,Y)
& ~ cp1(Y) )
& ? [Y] :
( rf3(X,Y)
& cp2(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| ~ cp1(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_2750)
| ~ cp1(sK2(i2003_11_14_17_18_2750)) ),
inference(instantiation,[status(thm)],[20]) ).
fof(cp1_substitution_1,plain,
! [A,B] :
( ( A = B
& cp1(A) )
=> cp1(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1_substitution_1) ).
cnf(3,plain,
( X0 != X1
| ~ cp1(X0)
| cp1(X1) ),
inference(cnf,[status(esa)],[cp1_substitution_1]) ).
cnf(l243,plain,
( sK3(i2003_11_14_17_18_2750) != sK2(i2003_11_14_17_18_2750)
| ~ cp1(sK3(i2003_11_14_17_18_2750))
| cp1(sK2(i2003_11_14_17_18_2750)) ),
inference(instantiation,[status(thm)],[3]) ).
fof(axiom_4,plain,
! [X,Y,Z] :
( ( rf2(X,Y)
& rf2(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(25,plain,
( ~ rf2(X0,X1)
| ~ rf2(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l250,plain,
( ~ rf2(i2003_11_14_17_18_2750,sK2(i2003_11_14_17_18_2750))
| ~ rf2(i2003_11_14_17_18_2750,sK3(i2003_11_14_17_18_2750))
| sK2(i2003_11_14_17_18_2750) = sK3(i2003_11_14_17_18_2750) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(19,plain,
( ~ cUnsatisfiable(X0)
| rf2(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l260,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_2750)
| rf2(i2003_11_14_17_18_2750,sK2(i2003_11_14_17_18_2750)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l357,plain,
( sK1(i2003_11_14_17_18_2750) != sK3(i2003_11_14_17_18_2750)
| ~ cp1(sK1(i2003_11_14_17_18_2750))
| cp1(sK3(i2003_11_14_17_18_2750)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(18,plain,
( ~ cUnsatisfiable(X0)
| cp1(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l360,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_2750)
| cp1(sK1(i2003_11_14_17_18_2750)) ),
inference(instantiation,[status(thm)],[18]) ).
fof(axiom_3,plain,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(24,plain,
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l358,plain,
( ~ rf1(i2003_11_14_17_18_2750,sK1(i2003_11_14_17_18_2750))
| ~ rf1(i2003_11_14_17_18_2750,sK3(i2003_11_14_17_18_2750))
| sK1(i2003_11_14_17_18_2750) = sK3(i2003_11_14_17_18_2750) ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_8,plain,
! [X,Y] :
( rf3(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(29,plain,
( ~ rf3(X0,X1)
| rf2(X0,X1) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l255,plain,
( ~ rf3(i2003_11_14_17_18_2750,sK3(i2003_11_14_17_18_2750))
| rf2(i2003_11_14_17_18_2750,sK3(i2003_11_14_17_18_2750)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(21,plain,
( ~ cUnsatisfiable(X0)
| rf3(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l263,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_2750)
| rf3(i2003_11_14_17_18_2750,sK3(i2003_11_14_17_18_2750)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(axiom_7,plain,
! [X,Y] :
( rf3(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(28,plain,
( ~ rf3(X0,X1)
| rf1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l361,plain,
( ~ rf3(i2003_11_14_17_18_2750,sK3(i2003_11_14_17_18_2750))
| rf1(i2003_11_14_17_18_2750,sK3(i2003_11_14_17_18_2750)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(17,plain,
( ~ cUnsatisfiable(X0)
| rf1(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l359,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_2750)
| rf1(i2003_11_14_17_18_2750,sK1(i2003_11_14_17_18_2750)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l369,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_2750)
| rf3(i2003_11_14_17_18_2750,sK3(i2003_11_14_17_18_2750)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l243,l250,l260,l357,l360,l358,l255,l263,l361,l359,l369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS069+1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.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 22:10:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 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: 5
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 0.18/0.54 % launching worker at depth: 12
% 2.43/0.69 % SZS status Theorem for theBenchmark
% 2.43/0.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------