%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS127+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 : n026.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 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 73 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 68 ( 29 ~; 27 |; 6 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 1 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,plain,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(26,plain,
( ra_Px1(X0,sK7(X0))
| cd(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l0,plain,
( ra_Px1(sK1(i2003_11_14_17_22_27794),sK7(sK1(i2003_11_14_17_22_27794)))
| cd(sK1(i2003_11_14_17_22_27794)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(25,plain,
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l1,plain,
( ~ ra_Px1(sK1(i2003_11_14_17_22_27794),sK7(sK1(i2003_11_14_17_22_27794)))
| ~ cd(sK1(i2003_11_14_17_22_27794)) ),
inference(instantiation,[status(thm)],[25]) ).
fof(cd_substitution_1,plain,
! [A,B] :
( ( A = B
& cd(A) )
=> cd(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cd_substitution_1) ).
cnf(2,plain,
( X0 != X1
| ~ cd(X0)
| cd(X1) ),
inference(cnf,[status(esa)],[cd_substitution_1]) ).
cnf(l46,plain,
( sK2(i2003_11_14_17_22_27794) != sK1(i2003_11_14_17_22_27794)
| ~ cd(sK2(i2003_11_14_17_22_27794))
| cd(sK1(i2003_11_14_17_22_27794)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cc(Y) )
& ? [Y] :
( rr(X,Y)
& cd(Y) )
& ! [Y0,Y1] :
( ( rr(X,Y0)
& rr(X,Y1) )
=> Y0 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l47,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_27794)
| ~ rr(i2003_11_14_17_22_27794,sK2(i2003_11_14_17_22_27794))
| ~ rr(i2003_11_14_17_22_27794,sK1(i2003_11_14_17_22_27794))
| sK2(i2003_11_14_17_22_27794) = sK1(i2003_11_14_17_22_27794) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l44,plain,
( ~ ra_Px1(sK1(i2003_11_14_17_22_27794),sK8(sK1(i2003_11_14_17_22_27794)))
| ~ cd(sK1(i2003_11_14_17_22_27794)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(19,plain,
( ~ cUnsatisfiable(X0)
| cd(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l72,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_27794)
| cd(sK2(i2003_11_14_17_22_27794)) ),
inference(instantiation,[status(thm)],[19]) ).
fof(axiom_6,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(29,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l78,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(instantiation,[status(thm)],[29]) ).
cnf(16,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l63,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_27794)
| rr(i2003_11_14_17_22_27794,sK1(i2003_11_14_17_22_27794)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(18,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l48,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_27794)
| rr(i2003_11_14_17_22_27794,sK2(i2003_11_14_17_22_27794)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l50,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(instantiation,[status(thm)],[29]) ).
cnf(l57,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_5,plain,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(27,plain,
( ~ cdxcomp(X0)
| ra_Px1(X0,sK8(X0)) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l45,plain,
( ~ cdxcomp(sK1(i2003_11_14_17_22_27794))
| ra_Px1(sK1(i2003_11_14_17_22_27794),sK8(sK1(i2003_11_14_17_22_27794))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l66,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_3,plain,
! [X] :
( cc(X)
=> cdxcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(24,plain,
( ~ cc(X0)
| cdxcomp(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l58,plain,
( ~ cc(sK1(i2003_11_14_17_22_27794))
| cdxcomp(sK1(i2003_11_14_17_22_27794)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(17,plain,
( ~ cUnsatisfiable(X0)
| cc(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l59,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_27794)
| cc(sK1(i2003_11_14_17_22_27794)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l86,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l46,l47,l44,l72,l78,l63,l48,l50,l57,l45,l66,l58,l59,l86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS127+1 : TPTP v9.0.0. Released v3.1.0.
% 0.08/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun Jul 20 22:14:04 EDT 2025
% 0.12/0.32 % CPUTime :
% 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: 2
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------