%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS106+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 08:46:40 PM UTC 2025
% Result : Unsatisfiable 1.94s 0.58s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 86 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 76 ( 32 ~; 30 |; 7 &)
% ( 3 <=>; 4 =>; 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 : 37 ( 1 sgn 13 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,plain,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(28,plain,
( cp1(X0)
| ra_Px1(X0,sK7(X0)) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l0,plain,
( cp1(sK1(i2003_11_14_17_20_57644))
| ra_Px1(sK1(i2003_11_14_17_20_57644),sK7(sK1(i2003_11_14_17_20_57644))) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(27,plain,
( ~ cp1(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l3,plain,
( ~ cp1(sK3(i2003_11_14_17_20_57644))
| ~ ra_Px1(sK3(i2003_11_14_17_20_57644),sK8(sK3(i2003_11_14_17_20_57644))) ),
inference(instantiation,[status(thm)],[27]) ).
fof(axiom_4,plain,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(29,plain,
( ~ cp1xcomp(X0)
| ra_Px1(X0,sK8(X0)) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l10,plain,
( ~ cp1xcomp(sK3(i2003_11_14_17_20_57644))
| ra_Px1(sK3(i2003_11_14_17_20_57644),sK8(sK3(i2003_11_14_17_20_57644))) ),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_6,plain,
! [X,Y,Z] :
( ( rf2(X,Y)
& rf2(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(32,plain,
( ~ rf2(X0,X1)
| ~ rf2(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l2,plain,
( ~ rf2(i2003_11_14_17_20_57644,sK1(i2003_11_14_17_20_57644))
| ~ rf2(i2003_11_14_17_20_57644,sK3(i2003_11_14_17_20_57644))
| sK1(i2003_11_14_17_20_57644) = sK3(i2003_11_14_17_20_57644) ),
inference(instantiation,[status(thm)],[32]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf3(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rf2(X,Y)
& cp1xcomp(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(25,plain,
( ~ cUnsatisfiable(X0)
| cp1xcomp(sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l11,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_57644)
| cp1xcomp(sK3(i2003_11_14_17_20_57644)) ),
inference(instantiation,[status(thm)],[25]) ).
fof(axiom_8,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(34,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l110,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(instantiation,[status(thm)],[34]) ).
cnf(l210,plain,
( ~ cp1(sK2(i2003_11_14_17_20_57644))
| ~ ra_Px1(sK2(i2003_11_14_17_20_57644),sK7(sK1(i2003_11_14_17_20_57644))) ),
inference(instantiation,[status(thm)],[27]) ).
fof(axiom_10,plain,
! [X,Y] :
( rf3(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
cnf(36,plain,
( ~ rf3(X0,X1)
| rf2(X0,X1) ),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l7,plain,
( ~ rf3(i2003_11_14_17_20_57644,sK1(i2003_11_14_17_20_57644))
| rf2(i2003_11_14_17_20_57644,sK1(i2003_11_14_17_20_57644)) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(24,plain,
( ~ cUnsatisfiable(X0)
| rf2(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_57644)
| rf2(i2003_11_14_17_20_57644,sK3(i2003_11_14_17_20_57644)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| rf3(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l13,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_57644)
| rf3(i2003_11_14_17_20_57644,sK1(i2003_11_14_17_20_57644)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l8,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(instantiation,[status(thm)],[34]) ).
cnf(l17,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(instantiation,[status(thm)],[34]) ).
cnf(23,plain,
( ~ cUnsatisfiable(X0)
| cp1(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l215,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_57644)
| cp1(sK2(i2003_11_14_17_20_57644)) ),
inference(instantiation,[status(thm)],[23]) ).
fof(axiom_5,plain,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(31,plain,
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l28,plain,
( ~ rf1(i2003_11_14_17_20_57644,sK1(i2003_11_14_17_20_57644))
| ~ rf1(i2003_11_14_17_20_57644,sK2(i2003_11_14_17_20_57644))
| sK1(i2003_11_14_17_20_57644) = sK2(i2003_11_14_17_20_57644) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(22,plain,
( ~ cUnsatisfiable(X0)
| rf1(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l52,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_57644)
| rf1(i2003_11_14_17_20_57644,sK2(i2003_11_14_17_20_57644)) ),
inference(instantiation,[status(thm)],[22]) ).
fof(axiom_9,plain,
! [X,Y] :
( rf3(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
cnf(35,plain,
( ~ rf3(X0,X1)
| rf1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l32,plain,
( ~ rf3(i2003_11_14_17_20_57644,sK1(i2003_11_14_17_20_57644))
| rf1(i2003_11_14_17_20_57644,sK1(i2003_11_14_17_20_57644)) ),
inference(instantiation,[status(thm)],[35]) ).
cnf(l70,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(instantiation,[status(thm)],[34]) ).
cnf(l46,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_57644)
| rf3(i2003_11_14_17_20_57644,sK1(i2003_11_14_17_20_57644)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l225,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(instantiation,[status(thm)],[34]) ).
cnf(l60,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(instantiation,[status(thm)],[34]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l10,l2,l11,l110,l210,l7,l4,l13,l8,l17,l215,l28,l52,l32,l70,l46,l225,l60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS106+1 : TPTP v9.0.0. Released v3.1.0.
% 0.04/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.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 22:12:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.37 % launching worker at depth: 11
% 0.18/0.53 % launching worker at depth: 12
% 1.94/0.58 % SZS status Theorem for theBenchmark
% 1.94/0.58 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------