%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS079+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 : n028.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 08:46:37 PM UTC 2025
% Result : Unsatisfiable 25.16s 3.55s
% Output : CNFRefutation 25.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 11 unt; 0 def)
% Number of atoms : 84 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 78 ( 33 ~; 29 |; 8 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 33 ( 1 sgn 13 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
cnf(13,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l0,plain,
cowlThing(i2003_11_14_17_19_17492),
inference(instantiation,[status(thm)],[13]) ).
fof(axiom_4,plain,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf1(X,Y0)
& rf1(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(25,plain,
( ~ cowlThing(X0)
| ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l1,plain,
( ~ cowlThing(i2003_11_14_17_19_17492)
| ~ rf1(i2003_11_14_17_19_17492,sK2(i2003_11_14_17_19_17492))
| ~ rf1(i2003_11_14_17_19_17492,sK3(i2003_11_14_17_19_17492))
| sK2(i2003_11_14_17_19_17492) = sK3(i2003_11_14_17_19_17492) ),
inference(instantiation,[status(thm)],[25]) ).
fof(axiom_5,plain,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf2(X,Y0)
& rf2(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(26,plain,
( ~ cowlThing(X0)
| ~ rf2(X0,X1)
| ~ rf2(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l5,plain,
( ~ cowlThing(i2003_11_14_17_19_17492)
| ~ rf2(i2003_11_14_17_19_17492,sK3(i2003_11_14_17_19_17492))
| ~ rf2(i2003_11_14_17_19_17492,sK1(i2003_11_14_17_19_17492))
| sK3(i2003_11_14_17_19_17492) = sK1(i2003_11_14_17_19_17492) ),
inference(instantiation,[status(thm)],[26]) ).
fof(axiom_8,plain,
! [X,Y] :
( rr(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(29,plain,
( ~ rr(X0,X1)
| rf2(X0,X1) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l91,plain,
( ~ rr(i2003_11_14_17_19_17492,sK3(i2003_11_14_17_19_17492))
| rf2(i2003_11_14_17_19_17492,sK3(i2003_11_14_17_19_17492)) ),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf2(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(19,plain,
( ~ cUnsatisfiable(X0)
| rf1(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l2,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
| rf1(i2003_11_14_17_19_17492,sK2(i2003_11_14_17_19_17492)) ),
inference(instantiation,[status(thm)],[19]) ).
fof(axiom_7,plain,
! [X,Y] :
( rr(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(28,plain,
( ~ rr(X0,X1)
| rf1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l6,plain,
( ~ rr(i2003_11_14_17_19_17492,sK3(i2003_11_14_17_19_17492))
| rf1(i2003_11_14_17_19_17492,sK3(i2003_11_14_17_19_17492)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(17,plain,
( ~ cUnsatisfiable(X0)
| rf2(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l488,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
| rf2(i2003_11_14_17_19_17492,sK1(i2003_11_14_17_19_17492)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(21,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l56,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
| rr(i2003_11_14_17_19_17492,sK3(i2003_11_14_17_19_17492)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(axiom_6,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(27,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l90,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
inference(instantiation,[status(thm)],[27]) ).
cnf(l14,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
inference(instantiation,[status(thm)],[27]) ).
cnf(l154,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
| rr(i2003_11_14_17_19_17492,sK3(i2003_11_14_17_19_17492)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l946,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
inference(instantiation,[status(thm)],[27]) ).
cnf(l170,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
inference(instantiation,[status(thm)],[27]) ).
fof(axiom_3,plain,
! [X] :
( cp1(X)
=> ~ cp2(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(24,plain,
( ~ cp1(X0)
| ~ cp2(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l430,plain,
( ~ cp1(sK1(i2003_11_14_17_19_17492))
| ~ cp2(sK1(i2003_11_14_17_19_17492)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| cp1(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l422,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
| cp1(sK2(i2003_11_14_17_19_17492)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(18,plain,
( ~ cUnsatisfiable(X0)
| cp2(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l434,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
| cp2(sK1(i2003_11_14_17_19_17492)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l425,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
inference(instantiation,[status(thm)],[27]) ).
cnf(l439,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
inference(instantiation,[status(thm)],[27]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l91,l2,l6,l488,l56,l90,l14,l154,l946,l170,l430,l422,l434,l425,l439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS079+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 : n028.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 22:10:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 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: 1
% 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
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 0.18/0.56 % launching worker at depth: 12
% 8.18/1.41 % launching worker at depth: 13
% 25.16/3.55 % SZS status Theorem for theBenchmark
% 25.16/3.55 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------