%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS111+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 : n029.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 08:46:41 PM UTC 2025
% Result : Unsatisfiable 2.40s 0.71s
% Output : CNFRefutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 9 unt; 0 def)
% Number of atoms : 104 ( 12 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 96 ( 40 ~; 38 |; 9 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 47 ( 1 sgn 18 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,plain,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(33,plain,
( cp(X0)
| ra_Px1(X0,sK7(X0)) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l0,plain,
( cp(sK2(i2003_11_14_17_21_15425))
| ra_Px1(sK2(i2003_11_14_17_21_15425),sK7(sK2(i2003_11_14_17_21_15425))) ),
inference(instantiation,[status(thm)],[33]) ).
fof(ra_Px1_substitution_1,plain,
! [A,B,C] :
( ( A = B
& ra_Px1(A,C) )
=> ra_Px1(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ra_Px1_substitution_1) ).
cnf(5,plain,
( X0 != X1
| ~ ra_Px1(X0,X2)
| ra_Px1(X1,X2) ),
inference(cnf,[status(esa)],[ra_Px1_substitution_1]) ).
cnf(l263,plain,
( sK2(i2003_11_14_17_21_15425) != sK3(i2003_11_14_17_21_15425)
| ~ ra_Px1(sK2(i2003_11_14_17_21_15425),sK7(sK2(i2003_11_14_17_21_15425)))
| ra_Px1(sK3(i2003_11_14_17_21_15425),sK7(sK2(i2003_11_14_17_21_15425))) ),
inference(instantiation,[status(thm)],[5]) ).
fof(cp_substitution_1,plain,
! [A,B] :
( ( A = B
& cp(A) )
=> cp(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp_substitution_1) ).
cnf(3,plain,
( X0 != X1
| ~ cp(X0)
| cp(X1) ),
inference(cnf,[status(esa)],[cp_substitution_1]) ).
cnf(l1,plain,
( sK2(i2003_11_14_17_21_15425) != sK1(i2003_11_14_17_21_15425)
| ~ cp(sK2(i2003_11_14_17_21_15425))
| cp(sK1(i2003_11_14_17_21_15425)) ),
inference(instantiation,[status(thm)],[3]) ).
fof(axiom_6,plain,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(37,plain,
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l183,plain,
( ~ rf1(i2003_11_14_17_21_15425,sK2(i2003_11_14_17_21_15425))
| ~ rf1(i2003_11_14_17_21_15425,sK1(i2003_11_14_17_21_15425))
| sK2(i2003_11_14_17_21_15425) = sK1(i2003_11_14_17_21_15425) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(32,plain,
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l281,plain,
( ~ cp(sK3(i2003_11_14_17_21_15425))
| ~ ra_Px1(sK3(i2003_11_14_17_21_15425),sK7(sK2(i2003_11_14_17_21_15425))) ),
inference(instantiation,[status(thm)],[32]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf1(X,Y)
& cpxcomp(Y) )
& ? [Y] :
( rs(X,Y)
& cowlThing(Y) )
& ? [Y] :
( rf(X,Y)
& cp(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(25,plain,
( ~ cUnsatisfiable(X0)
| rf1(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l190,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_15425)
| rf1(i2003_11_14_17_21_15425,sK1(i2003_11_14_17_21_15425)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(30,plain,
( ~ cUnsatisfiable(X0)
| cp(sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l283,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_15425)
| cp(sK3(i2003_11_14_17_21_15425)) ),
inference(instantiation,[status(thm)],[30]) ).
fof(axiom_11,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
cnf(45,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l285,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(instantiation,[status(thm)],[45]) ).
cnf(l206,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(instantiation,[status(thm)],[45]) ).
fof(axiom_13,plain,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
cnf(47,plain,
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l185,plain,
( ~ rs(i2003_11_14_17_21_15425,sK2(i2003_11_14_17_21_15425))
| rf1(i2003_11_14_17_21_15425,sK2(i2003_11_14_17_21_15425)) ),
inference(instantiation,[status(thm)],[47]) ).
cnf(27,plain,
( ~ cUnsatisfiable(X0)
| rs(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l187,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_15425)
| rs(i2003_11_14_17_21_15425,sK2(i2003_11_14_17_21_15425)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l3,plain,
( ~ cp(sK1(i2003_11_14_17_21_15425))
| ~ ra_Px1(sK1(i2003_11_14_17_21_15425),sK8(sK1(i2003_11_14_17_21_15425))) ),
inference(instantiation,[status(thm)],[32]) ).
fof(axiom_4,plain,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(34,plain,
( ~ cpxcomp(X0)
| ra_Px1(X0,sK8(X0)) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l5,plain,
( ~ cpxcomp(sK1(i2003_11_14_17_21_15425))
| ra_Px1(sK1(i2003_11_14_17_21_15425),sK8(sK1(i2003_11_14_17_21_15425))) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(l212,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(instantiation,[status(thm)],[45]) ).
cnf(26,plain,
( ~ cUnsatisfiable(X0)
| cpxcomp(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l14,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_15425)
| cpxcomp(sK1(i2003_11_14_17_21_15425)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l61,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(instantiation,[status(thm)],[45]) ).
fof(axiom_5,plain,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(36,plain,
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l264,plain,
( ~ rf(i2003_11_14_17_21_15425,sK2(i2003_11_14_17_21_15425))
| ~ rf(i2003_11_14_17_21_15425,sK3(i2003_11_14_17_21_15425))
| sK2(i2003_11_14_17_21_15425) = sK3(i2003_11_14_17_21_15425) ),
inference(instantiation,[status(thm)],[36]) ).
fof(axiom_12,plain,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
cnf(46,plain,
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l265,plain,
( ~ rs(i2003_11_14_17_21_15425,sK2(i2003_11_14_17_21_15425))
| rf(i2003_11_14_17_21_15425,sK2(i2003_11_14_17_21_15425)) ),
inference(instantiation,[status(thm)],[46]) ).
cnf(29,plain,
( ~ cUnsatisfiable(X0)
| rf(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l268,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_15425)
| rf(i2003_11_14_17_21_15425,sK3(i2003_11_14_17_21_15425)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l266,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_15425)
| rs(i2003_11_14_17_21_15425,sK2(i2003_11_14_17_21_15425)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l269,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(instantiation,[status(thm)],[45]) ).
cnf(l276,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(instantiation,[status(thm)],[45]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l263,l1,l183,l281,l190,l283,l285,l206,l185,l187,l3,l5,l212,l14,l61,l264,l265,l268,l266,l269,l276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS111+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 22:13:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.40 % launching worker at depth: 11
% 2.28/0.61 % launching worker at depth: 12
% 2.40/0.71 % SZS status Theorem for theBenchmark
% 2.40/0.71 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------