%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS115+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 08:46:41 PM UTC 2025
% Result : Unsatisfiable 45.30s 6.06s
% Output : CNFRefutation 45.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 103 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 93 ( 39 ~; 36 |; 8 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 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 : 41 ( 2 sgn 15 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,plain,
! [X] :
( cp2(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(29,plain,
( ra_Px1(X0,sK7(X0))
| cp2(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l0,plain,
( ra_Px1(sK2(i2003_11_14_17_21_30578),sK7(sK2(i2003_11_14_17_21_30578)))
| cp2(sK2(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(28,plain,
( ~ ra_Px1(X0,X1)
| ~ cp2(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l1212,plain,
( ~ ra_Px1(sK2(i2003_11_14_17_21_30578),sK8(sK2(i2003_11_14_17_21_30578)))
| ~ cp2(sK2(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[28]) ).
fof(axiom_6,plain,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf1(X,Y0)
& rf1(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(32,plain,
( ~ cowlThing(X0)
| ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l759,plain,
( ~ cowlThing(i2003_11_14_17_21_30578)
| ~ rf1(i2003_11_14_17_21_30578,sK3(i2003_11_14_17_21_30578))
| ~ rf1(i2003_11_14_17_21_30578,sK2(i2003_11_14_17_21_30578))
| sK3(i2003_11_14_17_21_30578) = sK2(i2003_11_14_17_21_30578) ),
inference(instantiation,[status(thm)],[32]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(22,plain,
( ~ cUnsatisfiable(X0)
| rf1(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1170,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| rf1(i2003_11_14_17_21_30578,sK2(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[22]) ).
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(16,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l760,plain,
cowlThing(i2003_11_14_17_21_30578),
inference(instantiation,[status(thm)],[16]) ).
fof(axiom_5,plain,
! [X] :
( cp2xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(30,plain,
( ~ cp2xcomp(X0)
| ra_Px1(X0,sK8(X0)) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l1213,plain,
( ~ cp2xcomp(sK2(i2003_11_14_17_21_30578))
| ra_Px1(sK2(i2003_11_14_17_21_30578),sK8(sK2(i2003_11_14_17_21_30578))) ),
inference(instantiation,[status(thm)],[30]) ).
fof(axiom_10,plain,
! [X,Y] :
( rr(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
cnf(36,plain,
( ~ rr(X0,X1)
| rf1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l768,plain,
( ~ rr(i2003_11_14_17_21_30578,sK3(i2003_11_14_17_21_30578))
| rf1(i2003_11_14_17_21_30578,sK3(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[36]) ).
fof(axiom_3,plain,
! [X] :
( cp1(X)
=> cp2xcomp(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(27,plain,
( ~ cp1(X0)
| cp2xcomp(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l1216,plain,
( ~ cp1(sK2(i2003_11_14_17_21_30578))
| cp2xcomp(sK2(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(23,plain,
( ~ cUnsatisfiable(X0)
| cp1(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1229,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| cp1(sK2(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(24,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l770,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| rr(i2003_11_14_17_21_30578,sK3(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_8,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
cnf(34,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l1184,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(instantiation,[status(thm)],[34]) ).
cnf(l1180,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(instantiation,[status(thm)],[34]) ).
cnf(l1231,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(instantiation,[status(thm)],[34]) ).
fof(axiom_7,plain,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf2(X,Y0)
& rf2(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(33,plain,
( ~ cowlThing(X0)
| ~ rf2(X0,X1)
| ~ rf2(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l30,plain,
( ~ cowlThing(i2003_11_14_17_21_30578)
| ~ rf2(i2003_11_14_17_21_30578,sK3(i2003_11_14_17_21_30578))
| ~ rf2(i2003_11_14_17_21_30578,sK1(i2003_11_14_17_21_30578))
| sK3(i2003_11_14_17_21_30578) = sK1(i2003_11_14_17_21_30578) ),
inference(instantiation,[status(thm)],[33]) ).
fof(axiom_9,plain,
! [X,Y] :
( rr(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
cnf(35,plain,
( ~ rr(X0,X1)
| rf2(X0,X1) ),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l261,plain,
( ~ rr(i2003_11_14_17_21_30578,sK3(i2003_11_14_17_21_30578))
| rf2(i2003_11_14_17_21_30578,sK3(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[35]) ).
cnf(l281,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| rr(i2003_11_14_17_21_30578,sK3(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| rf2(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l179,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| rf2(i2003_11_14_17_21_30578,sK1(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l569,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(instantiation,[status(thm)],[34]) ).
cnf(l180,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(instantiation,[status(thm)],[34]) ).
cnf(l426,plain,
( ~ ra_Px1(sK1(i2003_11_14_17_21_30578),sK7(sK2(i2003_11_14_17_21_30578)))
| ~ cp2(sK1(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l151,plain,
cowlThing(i2003_11_14_17_21_30578),
inference(instantiation,[status(thm)],[16]) ).
cnf(21,plain,
( ~ cUnsatisfiable(X0)
| cp2(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l427,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| cp2(sK1(i2003_11_14_17_21_30578)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l457,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(instantiation,[status(thm)],[34]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1212,l759,l1170,l760,l1213,l768,l1216,l1229,l770,l1184,l1180,l1231,l30,l261,l281,l179,l569,l180,l426,l151,l427,l457]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS115+1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.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 22:12:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.38 % launching worker at depth: 11
% 0.19/0.58 % launching worker at depth: 12
% 11.87/1.90 % launching worker at depth: 13
% 45.30/6.06 % SZS status Theorem for theBenchmark
% 45.30/6.06 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------