%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS128+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 08:46:43 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 60 ( 26 ~; 24 |; 4 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 1 sgn 6 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_9,plain,
! [X] :
( ca_Cx4xcomp(X)
<=> ~ ? [Y] : ra_Px4(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
cnf(24,plain,
( ra_Px4(X0,sK13(X0))
| ca_Cx4xcomp(X0) ),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l0,plain,
( ra_Px4(sK1(i2003_11_14_17_22_31584),sK13(sK1(i2003_11_14_17_22_31584)))
| ca_Cx4xcomp(sK1(i2003_11_14_17_22_31584)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(23,plain,
( ~ ra_Px4(X0,X1)
| ~ ca_Cx4xcomp(X0) ),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l3,plain,
( ~ ra_Px4(sK1(i2003_11_14_17_22_31584),sK11(sK1(i2003_11_14_17_22_31584)))
| ~ ca_Cx4xcomp(sK1(i2003_11_14_17_22_31584)) ),
inference(instantiation,[status(thm)],[23]) ).
fof(axiom_8,plain,
! [X] :
( ca_Cx4(X)
<=> ? [Y0] : ra_Px4(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(21,plain,
( ~ ca_Cx4(X0)
| ra_Px4(X0,sK11(X0)) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l4,plain,
( ~ ca_Cx4(sK1(i2003_11_14_17_22_31584))
| ra_Px4(sK1(i2003_11_14_17_22_31584),sK11(sK1(i2003_11_14_17_22_31584))) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l1,plain,
( ~ ra_Px4(sK1(i2003_11_14_17_22_31584),sK13(sK1(i2003_11_14_17_22_31584)))
| ~ ca_Cx4xcomp(sK1(i2003_11_14_17_22_31584)) ),
inference(instantiation,[status(thm)],[23]) ).
fof(axiom_10,plain,
! [X] :
( ca_Cx4xcomp(X)
<=> ( cd(X)
& cexcomp(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
cnf(27,plain,
( ~ cd(X0)
| ~ cexcomp(X0)
| ca_Cx4xcomp(X0) ),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l2,plain,
( ~ cd(sK1(i2003_11_14_17_22_31584))
| ~ cexcomp(sK1(i2003_11_14_17_22_31584))
| ca_Cx4xcomp(sK1(i2003_11_14_17_22_31584)) ),
inference(instantiation,[status(thm)],[27]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cexcomp(Y) )
& ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ! [Y] :
( rr(X,Y)
=> ca_Cx4(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(5,plain,
( ~ cUnsatisfiable(X0)
| cexcomp(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l7,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| cexcomp(sK1(i2003_11_14_17_22_31584)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| cd(X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l5,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| ~ rr(i2003_11_14_17_22_31584,sK1(i2003_11_14_17_22_31584))
| cd(sK1(i2003_11_14_17_22_31584)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l12,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| rr(i2003_11_14_17_22_31584,sK1(i2003_11_14_17_22_31584)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(axiom_11,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
cnf(28,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l18,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(instantiation,[status(thm)],[28]) ).
cnf(l22,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(instantiation,[status(thm)],[28]) ).
cnf(l6,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(instantiation,[status(thm)],[28]) ).
cnf(7,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ca_Cx4(X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l24,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| ~ rr(i2003_11_14_17_22_31584,sK1(i2003_11_14_17_22_31584))
| ca_Cx4(sK1(i2003_11_14_17_22_31584)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l28,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| rr(i2003_11_14_17_22_31584,sK1(i2003_11_14_17_22_31584)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l36,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(instantiation,[status(thm)],[28]) ).
cnf(l29,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(instantiation,[status(thm)],[28]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l4,l1,l2,l7,l5,l12,l18,l22,l6,l24,l28,l36,l29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS128+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 : 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 22:14:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 4
% 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: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------