%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS099+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 : n009.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 01:53:03 PM UTC 2026
% Result : Unsatisfiable 3.18s 0.90s
% Output : Proof 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 98 ( 31 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 125 ( 44 ~; 39 |; 38 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 40 ( 0 sgn 20 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y0,Y1] :
( ( rtt(X,Y1)
& rtt(X,Y0) )
=> Y0 = Y1 )
& ! [Y0,Y1] :
( ( rtt(X,Y1)
& rtt(X,Y0) )
=> Y0 = Y1 )
& ! [Y] :
( rtt(X,Y)
=> ca(Y) )
& ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rtt(X,Y2)
& rtt(X,Y1)
& rtt(X,Y0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f12_nnf,plain,
! [X] :
( ( ? [Y0,Y1] :
( Y0 != Y1
& rtt(X,Y1)
& rtt(X,Y0) )
| ? [Y0,Y1] :
( Y0 != Y1
& rtt(X,Y1)
& rtt(X,Y0) )
| ? [Y] :
( ~ ca(Y)
& rtt(X,Y) )
| ! [Y0,Y1,Y2] :
( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rtt(X,Y2)
| ~ rtt(X,Y1)
| ~ rtt(X,Y0) )
| cUnsatisfiable(X) )
& ( ( ! [Y0,Y1] :
( Y0 = Y1
| ~ rtt(X,Y1)
| ~ rtt(X,Y0) )
& ! [Y0,Y1] :
( Y0 = Y1
| ~ rtt(X,Y1)
| ~ rtt(X,Y0) )
& ! [Y] :
( ca(Y)
| ~ rtt(X,Y) )
& ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rtt(X,Y2)
& rtt(X,Y1)
& rtt(X,Y0) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X,Y,Y0,Y1,Y2] :
( ( ( sk6(X) != sk7(X)
& rtt(X,sk7(X))
& rtt(X,sk6(X)) )
| ( sk4(X) != sk5(X)
& rtt(X,sk5(X))
& rtt(X,sk4(X)) )
| ( ~ ca(sk3(X))
& rtt(X,sk3(X)) )
| Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rtt(X,Y2)
| ~ rtt(X,Y1)
| ~ rtt(X,Y0)
| cUnsatisfiable(X) )
& ( ( ( Y0 = Y1
| ~ rtt(X,Y1)
| ~ rtt(X,Y0) )
& ( Y0 = Y1
| ~ rtt(X,Y1)
| ~ rtt(X,Y0) )
& ( ca(Y)
| ~ rtt(X,Y) )
& sk1(X) != sk2(X)
& sk0(X) != sk2(X)
& sk0(X) != sk1(X)
& rtt(X,sk2(X))
& rtt(X,sk1(X))
& rtt(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4,sk5,sk6,sk7])],[f12_nnf]) ).
cnf(c21,plain,
( X1 = X2
| ~ rtt(X0,X2)
| ~ rtt(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
fof(f15,axiom,
cUnsatisfiable(i2003_11_14_17_20_29215),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f15_nnf,plain,
cUnsatisfiable(i2003_11_14_17_20_29215),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c43,plain,
cUnsatisfiable(i2003_11_14_17_20_29215),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(p57,plain,
( X0 = X1
| ~ rtt(i2003_11_14_17_20_29215,X1)
| ~ rtt(i2003_11_14_17_20_29215,X0) ),
inference(resolution,[status(thm)],[c21,c43]) ).
cnf(c14,plain,
( rtt(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p44,plain,
rtt(i2003_11_14_17_20_29215,sk0(i2003_11_14_17_20_29215)),
inference(resolution,[status(thm)],[c14,c43]) ).
cnf(p58,plain,
( sk0(i2003_11_14_17_20_29215) = X0
| ~ rtt(i2003_11_14_17_20_29215,X0) ),
inference(resolution,[status(thm)],[p57,p44]) ).
cnf(c15,plain,
( rtt(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p45,plain,
rtt(i2003_11_14_17_20_29215,sk1(i2003_11_14_17_20_29215)),
inference(resolution,[status(thm)],[c15,c43]) ).
cnf(p61,plain,
sk0(i2003_11_14_17_20_29215) = sk1(i2003_11_14_17_20_29215),
inference(resolution,[status(thm)],[p58,p45]) ).
cnf(c17,plain,
( sk0(X0) != sk1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p47,plain,
sk0(i2003_11_14_17_20_29215) != sk1(i2003_11_14_17_20_29215),
inference(resolution,[status(thm)],[c17,c43]) ).
cnf(p65,plain,
$false,
inference(resolution,[status(thm)],[p61,p47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS099+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 19:23:43 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.18/0.90 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.18/0.90 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------