%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS122+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 : n025.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 49.11s 6.49s
% Output : CNFRefutation 49.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 7 unt; 0 def)
% Number of atoms : 104 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 44 ~; 43 |; 4 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 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 : 34 ( 1 sgn 11 !; 4 ?)
% 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(sK1(i2003_11_14_17_21_55116),sK3(sK1(i2003_11_14_17_21_55116)))
| cp1(sK1(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[27]) ).
fof(axiom_5,plain,
! [X] :
( ca_Ax2(X)
<=> ( cp1(X)
& ! [Y] :
( rinvF(X,Y)
=> ca_Vx3(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(32,plain,
( ~ cp1(X0)
| ca_Ax2(X0)
| rinvF(X0,sK6(X0)) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l70,plain,
( ~ cp1(sK1(i2003_11_14_17_21_55116))
| ca_Ax2(sK1(i2003_11_14_17_21_55116))
| rinvF(sK1(i2003_11_14_17_21_55116),sK6(sK1(i2003_11_14_17_21_55116))) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(26,plain,
( ~ ra_Px1(X0,X1)
| ~ cp1(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l1,plain,
( ~ ra_Px1(sK1(i2003_11_14_17_21_55116),sK3(sK1(i2003_11_14_17_21_55116)))
| ~ cp1(sK1(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(31,plain,
( ~ ca_Ax2(X0)
| ~ rinvF(X0,X1)
| ca_Vx3(X1) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l602,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_55116))
| ~ rinvF(sK1(i2003_11_14_17_21_55116),i2003_11_14_17_21_55116)
| ca_Vx3(i2003_11_14_17_21_55116) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(l73,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_55116))
| ~ rinvF(sK1(i2003_11_14_17_21_55116),sK6(sK1(i2003_11_14_17_21_55116)))
| ca_Vx3(sK6(sK1(i2003_11_14_17_21_55116))) ),
inference(instantiation,[status(thm)],[31]) ).
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(l76,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_55116)
| ca_Ax2(sK1(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_11,plain,
cUnsatisfiable(i2003_11_14_17_21_55116),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
cnf(43,plain,
cUnsatisfiable(i2003_11_14_17_21_55116),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l84,plain,
cUnsatisfiable(i2003_11_14_17_21_55116),
inference(instantiation,[status(thm)],[43]) ).
fof(axiom_8,plain,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(39,plain,
( ~ rf(X0,X1)
| rinvF(X1,X0) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l606,plain,
( ~ rf(i2003_11_14_17_21_55116,sK1(i2003_11_14_17_21_55116))
| rinvF(sK1(i2003_11_14_17_21_55116),i2003_11_14_17_21_55116) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(30,plain,
( ~ ca_Ax2(X0)
| cp1(X0) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l614,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_55116))
| cp1(sK1(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[30]) ).
fof(axiom_6,plain,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rf(X,Y)
& cp1xcomp(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(34,plain,
( ~ ca_Vx3(X0)
| rf(X0,sK7(X0)) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l603,plain,
( ~ ca_Vx3(i2003_11_14_17_21_55116)
| rf(i2003_11_14_17_21_55116,sK7(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(l621,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_55116)
| ca_Ax2(sK1(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(35,plain,
( ~ ca_Vx3(X0)
| cp1xcomp(sK7(X0)) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l74,plain,
( ~ ca_Vx3(sK6(sK1(i2003_11_14_17_21_55116)))
| cp1xcomp(sK7(sK6(sK1(i2003_11_14_17_21_55116)))) ),
inference(instantiation,[status(thm)],[35]) ).
cnf(l631,plain,
cUnsatisfiable(i2003_11_14_17_21_55116),
inference(instantiation,[status(thm)],[43]) ).
cnf(23,plain,
( ~ cUnsatisfiable(X0)
| rf(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l616,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_55116)
| rf(i2003_11_14_17_21_55116,sK1(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l691,plain,
cUnsatisfiable(i2003_11_14_17_21_55116),
inference(instantiation,[status(thm)],[43]) ).
fof(axiom_7,plain,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(37,plain,
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l609,plain,
( ~ rf(i2003_11_14_17_21_55116,sK7(i2003_11_14_17_21_55116))
| ~ rf(i2003_11_14_17_21_55116,sK1(i2003_11_14_17_21_55116))
| sK7(i2003_11_14_17_21_55116) = sK1(i2003_11_14_17_21_55116) ),
inference(instantiation,[status(thm)],[37]) ).
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(l484,plain,
( ~ cp1xcomp(sK1(i2003_11_14_17_21_55116))
| ra_Px1(sK1(i2003_11_14_17_21_55116),sK4(sK1(i2003_11_14_17_21_55116))) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l633,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_55116)
| rf(i2003_11_14_17_21_55116,sK1(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l483,plain,
( ~ rf(sK6(sK1(i2003_11_14_17_21_55116)),sK7(sK6(sK1(i2003_11_14_17_21_55116))))
| ~ rf(sK6(sK1(i2003_11_14_17_21_55116)),sK1(i2003_11_14_17_21_55116))
| sK7(sK6(sK1(i2003_11_14_17_21_55116))) = sK1(i2003_11_14_17_21_55116) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(38,plain,
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l569,plain,
( ~ rinvF(sK1(i2003_11_14_17_21_55116),sK6(sK1(i2003_11_14_17_21_55116)))
| rf(sK6(sK1(i2003_11_14_17_21_55116)),sK1(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l1096,plain,
( ~ cp1xcomp(sK1(i2003_11_14_17_21_55116))
| ra_Px1(sK1(i2003_11_14_17_21_55116),sK4(sK1(i2003_11_14_17_21_55116))) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l562,plain,
( ~ ca_Vx3(sK6(sK1(i2003_11_14_17_21_55116)))
| rf(sK6(sK1(i2003_11_14_17_21_55116)),sK7(sK6(sK1(i2003_11_14_17_21_55116)))) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(l1124,plain,
( ~ ra_Px1(sK1(i2003_11_14_17_21_55116),sK4(sK1(i2003_11_14_17_21_55116)))
| ~ cp1(sK1(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l2325,plain,
( ~ ca_Vx3(i2003_11_14_17_21_55116)
| cp1xcomp(sK7(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[35]) ).
cnf(l2329,plain,
( ~ ra_Px1(sK1(i2003_11_14_17_21_55116),sK4(sK1(i2003_11_14_17_21_55116)))
| ~ cp1(sK1(i2003_11_14_17_21_55116)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l757,plain,
cUnsatisfiable(i2003_11_14_17_21_55116),
inference(instantiation,[status(thm)],[43]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l70,l1,l602,l73,l76,l84,l606,l614,l603,l621,l74,l631,l616,l691,l609,l484,l633,l483,l569,l1096,l562,l1124,l2325,l2329,l757]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS122+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Jul 20 22:14:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.36 % launching worker at depth: 10
% 0.14/0.38 % launching worker at depth: 11
% 0.20/0.48 % launching worker at depth: 12
% 4.79/0.96 % launching worker at depth: 13
% 28.32/3.92 % launching worker at depth: 14
% 49.11/6.49 % SZS status Theorem for theBenchmark
% 49.11/6.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------