%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS095+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 01:53:02 PM UTC 2026
% Result : Unsatisfiable 2.63s 0.82s
% Output : Proof 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 58 ( 16 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 67 ( 26 ~; 23 |; 16 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn 11 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y0,Y1] :
( ( rr(X,Y1)
& rr(X,Y0) )
=> Y0 = Y1 )
& ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f11_nnf,plain,
! [X] :
( ( ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
| cUnsatisfiable(X) )
& ( ( ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X,Y0,Y1] :
( ( ( sk2(X) != sk3(X)
& rr(X,sk3(X))
& rr(X,sk2(X)) )
| Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0)
| cUnsatisfiable(X) )
& ( ( ( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& sk0(X) != sk1(X)
& rr(X,sk1(X))
& rr(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3])],[f11_nnf]) ).
cnf(c16,plain,
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
fof(f13,axiom,
cUnsatisfiable(i2003_11_14_17_20_14253),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f13_nnf,plain,
cUnsatisfiable(i2003_11_14_17_20_14253),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c21,plain,
cUnsatisfiable(i2003_11_14_17_20_14253),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p25,plain,
( X0 = X1
| ~ rr(i2003_11_14_17_20_14253,X1)
| ~ rr(i2003_11_14_17_20_14253,X0) ),
inference(resolution,[status(thm)],[c16,c21]) ).
cnf(c13,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p22,plain,
rr(i2003_11_14_17_20_14253,sk0(i2003_11_14_17_20_14253)),
inference(resolution,[status(thm)],[c13,c21]) ).
cnf(p26,plain,
( sk0(i2003_11_14_17_20_14253) = X0
| ~ rr(i2003_11_14_17_20_14253,X0) ),
inference(resolution,[status(thm)],[p25,p22]) ).
cnf(c14,plain,
( rr(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p23,plain,
rr(i2003_11_14_17_20_14253,sk1(i2003_11_14_17_20_14253)),
inference(resolution,[status(thm)],[c14,c21]) ).
cnf(p28,plain,
sk0(i2003_11_14_17_20_14253) = sk1(i2003_11_14_17_20_14253),
inference(resolution,[status(thm)],[p26,p23]) ).
cnf(c15,plain,
( sk0(X0) != sk1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p24,plain,
sk0(i2003_11_14_17_20_14253) != sk1(i2003_11_14_17_20_14253),
inference(resolution,[status(thm)],[c15,c21]) ).
cnf(p29,plain,
$false,
inference(resolution,[status(thm)],[p28,p24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS095+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 19:27:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.63/0.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.63/0.82 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------