%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS127+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:53:07 PM UTC 2026
% Result : Unsatisfiable 2.56s 0.79s
% Output : Proof 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 102 ( 9 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 110 ( 43 ~; 39 |; 23 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 51 ( 3 sgn 25 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
cUnsatisfiable(i2003_11_14_17_22_27794),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f18_nnf,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c29,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
fof(f14,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y0,Y1] :
( ( rr(X,Y1)
& rr(X,Y0) )
=> Y0 = Y1 )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y] :
( cc(Y)
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f14_nnf,plain,
! [X] :
( ( ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cd(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cc(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ( ( ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y] :
( cc(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X,Y0,Y1,Y] :
( ( ( sk2(X) != sk3(X)
& rr(X,sk3(X))
& rr(X,sk2(X)) )
| ~ cd(Y)
| ~ rr(X,Y)
| ~ cc(Y)
| ~ rr(X,Y)
| cUnsatisfiable(X) )
& ( ( ( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& cd(sk1(X))
& rr(X,sk1(X))
& cc(sk0(X))
& rr(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3])],[f14_nnf]) ).
cnf(c20,plain,
( X2 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p38,plain,
( X0 = X1
| ~ rr(i2003_11_14_17_22_27794,X1)
| ~ rr(i2003_11_14_17_22_27794,X0) ),
inference(resolution,[status(thm)],[c29,c20]) ).
cnf(c18,plain,
( rr(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p36,plain,
rr(i2003_11_14_17_22_27794,sk1(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[c29,c18]) ).
cnf(p43,plain,
( sk1(i2003_11_14_17_22_27794) = X0
| ~ rr(i2003_11_14_17_22_27794,X0) ),
inference(resolution,[status(thm)],[p38,p36]) ).
cnf(c16,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p34,plain,
rr(i2003_11_14_17_22_27794,sk0(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[c29,c16]) ).
cnf(p46,plain,
sk1(i2003_11_14_17_22_27794) = sk0(i2003_11_14_17_22_27794),
inference(resolution,[status(thm)],[p43,p34]) ).
cnf(c19,plain,
( cd(sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p37,plain,
cd(sk1(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[c29,c19]) ).
fof(f16,axiom,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f16_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cd(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cd(X) ) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X,Y] :
( ( ra_Px1(X,sk4(X))
| cd(X) )
& ( ~ ra_Px1(X,Y)
| ~ cd(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f16_nnf]) ).
cnf(c25,plain,
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p41,plain,
~ ra_Px1(sk1(i2003_11_14_17_22_27794),X0),
inference(resolution,[status(thm)],[p37,c25]) ).
cnf(p48,plain,
~ ra_Px1(sk0(i2003_11_14_17_22_27794),X0),
inference(demodulation,[status(thm)],[p46,p41]) ).
cnf(c17,plain,
( cc(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p35,plain,
cc(sk0(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[c29,c17]) ).
fof(f15,axiom,
! [X] :
( cc(X)
=> cdxcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f15_nnf,plain,
! [X] :
( cdxcomp(X)
| ~ cc(X) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X] :
( cdxcomp(X)
| ~ cc(X) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c24,plain,
( cdxcomp(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p40,plain,
cdxcomp(sk0(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[p35,c24]) ).
fof(f17,axiom,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f17_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| cdxcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cdxcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X,Y0] :
( ( ~ ra_Px1(X,Y0)
| cdxcomp(X) )
& ( ra_Px1(X,sk5(X))
| ~ cdxcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f17_nnf]) ).
cnf(c27,plain,
( ra_Px1(X0,sk5(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p44,plain,
ra_Px1(sk0(i2003_11_14_17_22_27794),sk5(sk0(i2003_11_14_17_22_27794))),
inference(resolution,[status(thm)],[p40,c27]) ).
cnf(p49,plain,
$false,
inference(resolution,[status(thm)],[p48,p44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS127+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Wed Sep 23 19:28:47 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.56/0.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/0.79 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------