%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS070+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Thu Sep 24 12:59:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 119 ( 6 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 138 ( 54 ~; 47 |; 32 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 59 ( 48 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cc1(Y)
& rrx3(X,Y) )
& ~ ? [Y] :
( cc1(Y)
& cc2(Y)
& rrx3(X,Y) )
& ? [Y] :
( cc2(Y)
& rrx4(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X,Y,Z] :
( ( rrx(X,Z)
& rrx(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
cUnsatisfiable(i2003_11_14_17_18_32242),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X,Y] :
( rrx3(X,Y)
=> rrx(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [X,Y] :
( rrx4(X,Y)
=> rrx(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f133,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cc1(Y)
& rrx3(X,Y) )
& ! [Y] :
( ~ cc1(Y)
| ~ cc2(Y)
| ~ rrx3(X,Y) )
& ? [Y] :
( cc2(Y)
& rrx4(X,Y) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f134,plain,
! [X] :
( ( ! [Y] :
( ~ cc1(Y)
| ~ rrx3(X,Y) )
| ? [Y] :
( cc1(Y)
& cc2(Y)
& rrx3(X,Y) )
| ! [Y] :
( ~ cc2(Y)
| ~ rrx4(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cc1(Y)
& rrx3(X,Y) )
& ! [Y] :
( ~ cc1(Y)
| ~ cc2(Y)
| ~ rrx3(X,Y) )
& ? [Y] :
( cc2(Y)
& rrx4(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( ! [X] :
( ! [Y] :
( ~ cc1(Y)
| ~ rrx3(X,Y) )
| ? [Y] :
( cc1(Y)
& cc2(Y)
& rrx3(X,Y) )
| ! [Y] :
( ~ cc2(Y)
| ~ rrx4(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cc1(Y)
& rrx3(X,Y) )
& ! [Y] :
( ~ cc1(Y)
| ~ cc2(Y)
| ~ rrx3(X,Y) )
& ? [Y] :
( cc2(Y)
& rrx4(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f134]) ).
fof(f136,plain,
( ! [X] :
( ! [Y] :
( ~ cc1(Y)
| ~ rrx3(X,Y) )
| ( cc1(sK2_skl(X))
& cc2(sK2_skl(X))
& rrx3(X,sK2_skl(X)) )
| ! [Y] :
( ~ cc2(Y)
| ~ rrx4(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( cc1(sK1_skl(X))
& rrx3(X,sK1_skl(X))
& ! [Y] :
( ~ cc1(Y)
| ~ cc2(Y)
| ~ rrx3(X,Y) )
& cc2(sK0_skl(X))
& rrx4(X,sK0_skl(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f135]) ).
fof(f137,plain,
! [X0] :
( rrx4(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f138,plain,
! [X0] :
( cc2(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f139,plain,
! [X0,X1] :
( ~ cc1(X1)
| ~ cc2(X1)
| ~ rrx3(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f140,plain,
! [X0] :
( rrx3(X0,sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f141,plain,
! [X0] :
( cc1(sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f145,plain,
! [X,Y,Z] :
( Y = Z
| ~ rrx(X,Z)
| ~ rrx(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f146,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rrx(X,Z)
| ~ rrx(X,Y) ) ),
inference(miniscoping,[status(thm)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rrx(X0,X2)
| ~ rrx(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f160,plain,
cUnsatisfiable(i2003_11_14_17_18_32242),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f161,plain,
! [X,Y] :
( rrx(X,Y)
| ~ rrx3(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f162,plain,
! [X0,X1] :
( rrx(X0,X1)
| ~ rrx3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f175,plain,
! [X,Y] :
( rrx(X,Y)
| ~ rrx4(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f176,plain,
! [X0,X1] :
( rrx(X0,X1)
| ~ rrx4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f178,plain,
rrx4(i2003_11_14_17_18_32242,sK0_skl(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f137,f160]) ).
fof(f179,plain,
cc2(sK0_skl(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f138,f160]) ).
fof(f180,plain,
rrx3(i2003_11_14_17_18_32242,sK1_skl(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f140,f160]) ).
fof(f181,plain,
cc1(sK1_skl(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f141,f160]) ).
fof(f182,plain,
rrx(i2003_11_14_17_18_32242,sK0_skl(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f178,f176]) ).
fof(f190,plain,
rrx(i2003_11_14_17_18_32242,sK1_skl(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f180,f162]) ).
fof(f191,plain,
( ~ cc1(sK1_skl(i2003_11_14_17_18_32242))
| ~ cc2(sK1_skl(i2003_11_14_17_18_32242))
| ~ cUnsatisfiable(i2003_11_14_17_18_32242) ),
inference(resolution,[status(thm)],[f180,f139]) ).
fof(f192,plain,
( ~ cc1(sK1_skl(i2003_11_14_17_18_32242))
| ~ cc2(sK1_skl(i2003_11_14_17_18_32242)) ),
inference(forward_subsumption_resolution,[status(thm)],[f191,f160]) ).
fof(f193,plain,
! [X0] :
( X0 = sK0_skl(i2003_11_14_17_18_32242)
| ~ rrx(i2003_11_14_17_18_32242,X0) ),
inference(resolution,[status(thm)],[f182,f147]) ).
fof(f197,plain,
sK1_skl(i2003_11_14_17_18_32242) = sK0_skl(i2003_11_14_17_18_32242),
inference(resolution,[status(thm)],[f193,f190]) ).
fof(f199,plain,
~ cc2(sK1_skl(i2003_11_14_17_18_32242)),
inference(forward_subsumption_resolution,[status(thm)],[f192,f181]) ).
fof(f203,plain,
~ cc2(sK0_skl(i2003_11_14_17_18_32242)),
inference(backward_demodulation,[status(thm)],[f197,f199]) ).
fof(f209,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f203,f179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS070+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:52:58 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.029430 seconds
% 0.13/0.40 % CPU time: 0.084925 seconds
% 0.13/0.40 % Total memory used: 3.382 MB
% 0.13/0.40 % Net memory used: 3.222 MB
%------------------------------------------------------------------------------