%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS120+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 : 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 08:46:42 PM UTC 2025
% Result : Unsatisfiable 43.41s 5.81s
% Output : CNFRefutation 43.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 89 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 34 ~; 31 |; 6 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 32 ( 2 sgn 11 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,plain,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(27,plain,
( ra_Px1(X0,sK3(X0))
| cp1(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l0,plain,
( ra_Px1(sK8(sK6(sK1(i2003_11_14_17_21_48796))),sK3(sK8(sK6(sK1(i2003_11_14_17_21_48796)))))
| cp1(sK8(sK6(sK1(i2003_11_14_17_21_48796)))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(26,plain,
( ~ ra_Px1(X0,X1)
| ~ cp1(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l709,plain,
( ~ ra_Px1(sK8(sK6(sK1(i2003_11_14_17_21_48796))),sK4(sK8(sK6(sK1(i2003_11_14_17_21_48796)))))
| ~ cp1(sK8(sK6(sK1(i2003_11_14_17_21_48796)))) ),
inference(instantiation,[status(thm)],[26]) ).
fof(axiom_4,plain,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(28,plain,
( ~ cp1xcomp(X0)
| ra_Px1(X0,sK4(X0)) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l713,plain,
( ~ cp1xcomp(sK8(sK6(sK1(i2003_11_14_17_21_48796))))
| ra_Px1(sK8(sK6(sK1(i2003_11_14_17_21_48796))),sK4(sK8(sK6(sK1(i2003_11_14_17_21_48796))))) ),
inference(instantiation,[status(thm)],[28]) ).
fof(axiom_7,plain,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y0)
& rf(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(37,plain,
( ~ cowlThing(X0)
| ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l135,plain,
( ~ cowlThing(sK6(sK1(i2003_11_14_17_21_48796)))
| ~ rf(sK6(sK1(i2003_11_14_17_21_48796)),sK8(sK6(sK1(i2003_11_14_17_21_48796))))
| ~ rf(sK6(sK1(i2003_11_14_17_21_48796)),sK1(i2003_11_14_17_21_48796))
| sK8(sK6(sK1(i2003_11_14_17_21_48796))) = sK1(i2003_11_14_17_21_48796) ),
inference(instantiation,[status(thm)],[37]) ).
fof(axiom_6,plain,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rf(X,Y)
& cp1xcomp(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(35,plain,
( ~ ca_Vx3(X0)
| cp1xcomp(sK8(X0)) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l714,plain,
( ~ ca_Vx3(sK6(sK1(i2003_11_14_17_21_48796)))
| cp1xcomp(sK8(sK6(sK1(i2003_11_14_17_21_48796)))) ),
inference(instantiation,[status(thm)],[35]) ).
fof(axiom_5,plain,
! [X] :
( ca_Ax2(X)
<=> ( ? [Y] :
( rinvF(X,Y)
& ca_Vx3(Y) )
& cp1(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(31,plain,
( ~ ca_Ax2(X0)
| ca_Vx3(sK6(X0)) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l738,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_48796))
| ca_Vx3(sK6(sK1(i2003_11_14_17_21_48796))) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(34,plain,
( ~ ca_Vx3(X0)
| rf(X0,sK8(X0)) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l313,plain,
( ~ ca_Vx3(sK6(sK1(i2003_11_14_17_21_48796)))
| rf(sK6(sK1(i2003_11_14_17_21_48796)),sK8(sK6(sK1(i2003_11_14_17_21_48796)))) ),
inference(instantiation,[status(thm)],[34]) ).
fof(axiom_8,plain,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(38,plain,
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l344,plain,
( ~ rinvF(sK1(i2003_11_14_17_21_48796),sK6(sK1(i2003_11_14_17_21_48796)))
| rf(sK6(sK1(i2003_11_14_17_21_48796)),sK1(i2003_11_14_17_21_48796)) ),
inference(instantiation,[status(thm)],[38]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( rf(X,Y)
& ca_Ax2(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(24,plain,
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l756,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_48796)
| ca_Ax2(sK1(i2003_11_14_17_21_48796)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l340,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_48796))
| ca_Vx3(sK6(sK1(i2003_11_14_17_21_48796))) ),
inference(instantiation,[status(thm)],[31]) ).
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
cnf(19,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l136,plain,
cowlThing(sK6(sK1(i2003_11_14_17_21_48796))),
inference(instantiation,[status(thm)],[19]) ).
cnf(30,plain,
( ~ ca_Ax2(X0)
| rinvF(X0,sK6(X0)) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l345,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_48796))
| rinvF(sK1(i2003_11_14_17_21_48796),sK6(sK1(i2003_11_14_17_21_48796))) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l357,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_48796)
| ca_Ax2(sK1(i2003_11_14_17_21_48796)) ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_11,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
cnf(43,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l849,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(instantiation,[status(thm)],[43]) ).
cnf(l4,plain,
( ~ ra_Px1(sK1(i2003_11_14_17_21_48796),sK3(sK8(sK6(sK1(i2003_11_14_17_21_48796)))))
| ~ cp1(sK1(i2003_11_14_17_21_48796)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(32,plain,
( ~ ca_Ax2(X0)
| cp1(X0) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l57,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_48796))
| cp1(sK1(i2003_11_14_17_21_48796)) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(l356,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_48796)
| ca_Ax2(sK1(i2003_11_14_17_21_48796)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l360,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(instantiation,[status(thm)],[43]) ).
cnf(l371,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(instantiation,[status(thm)],[43]) ).
cnf(l423,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_48796)
| ca_Ax2(sK1(i2003_11_14_17_21_48796)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l446,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(instantiation,[status(thm)],[43]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l709,l713,l135,l714,l738,l313,l344,l756,l340,l136,l345,l357,l849,l4,l57,l356,l360,l371,l423,l446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS120+1 : TPTP v9.0.0. Released v3.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 22:13:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.40 % launching worker at depth: 11
% 0.20/0.49 % launching worker at depth: 12
% 7.90/1.35 % launching worker at depth: 13
% 43.41/5.81 % SZS status Theorem for theBenchmark
% 43.41/5.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------