%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS096+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 : n003.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 4.35s 1.17s
% Output : Proof 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 76 ( 9 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 85 ( 34 ~; 29 |; 19 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 32 ( 0 sgn 15 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,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(f11_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)],[f11]) ).
fof(f11_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])],[f11_nnf]) ).
cnf(c17,plain,
( X2 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
fof(f13,axiom,
cUnsatisfiable(i2003_11_14_17_20_18265),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f13_nnf,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c22,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p28,plain,
( X0 = X1
| ~ rr(i2003_11_14_17_20_18265,X1)
| ~ rr(i2003_11_14_17_20_18265,X0) ),
inference(resolution,[status(thm)],[c17,c22]) ).
cnf(c13,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p26,plain,
rr(i2003_11_14_17_20_18265,sk0(i2003_11_14_17_20_18265)),
inference(resolution,[status(thm)],[c13,c22]) ).
cnf(p29,plain,
( sk0(i2003_11_14_17_20_18265) = X0
| ~ rr(i2003_11_14_17_20_18265,X0) ),
inference(resolution,[status(thm)],[p28,p26]) ).
cnf(c15,plain,
( rr(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p27,plain,
rr(i2003_11_14_17_20_18265,sk1(i2003_11_14_17_20_18265)),
inference(resolution,[status(thm)],[c15,c22]) ).
cnf(p31,plain,
sk0(i2003_11_14_17_20_18265) = sk1(i2003_11_14_17_20_18265),
inference(resolution,[status(thm)],[p29,p27]) ).
cnf(c16,plain,
( cd(sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p25,plain,
cd(sk1(i2003_11_14_17_20_18265)),
inference(resolution,[status(thm)],[c16,c22]) ).
cnf(p34,plain,
cd(sk0(i2003_11_14_17_20_18265)),
inference(superposition,[status(thm)],[p31,p25]) ).
cnf(c14,plain,
( cc(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p23,plain,
cc(sk0(i2003_11_14_17_20_18265)),
inference(resolution,[status(thm)],[c14,c22]) ).
fof(f12,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f12_nnf,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c21,plain,
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p24,plain,
~ cd(sk0(i2003_11_14_17_20_18265)),
inference(resolution,[status(thm)],[p23,c21]) ).
cnf(p39,plain,
$false,
inference(resolution,[status(thm)],[p34,p24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS096+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.37 % Computer : n003.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Wed Sep 23 19:23:50 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.35/1.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.35/1.17 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------