%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:59:44 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 15 unt; 0 def)
% Number of atoms : 164 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 180 ( 71 ~; 64 |; 36 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 98 ( 83 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( ca_Ax2(Y)
& rf(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X] :
( ca_Ax2(X)
<=> ( cp1(X)
& ? [Y] :
( ca_Vx3(Y)
& rinvF(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( cp1xcomp(Y)
& rf(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y1)
& rf(X,Y0) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_48796),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f90,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f96,plain,
! [X] :
( ( ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ( ? [Y] :
( ca_Ax2(Y)
& rf(X,Y) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f97,plain,
( ! [X] :
( ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ? [Y] :
( ca_Ax2(Y)
& rf(X,Y) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f98,plain,
( ! [X] :
( ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ca_Ax2(sK0_skl(X))
& rf(X,sK0_skl(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f97]) ).
fof(f100,plain,
! [X0] :
( ca_Ax2(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f102,plain,
! [X] :
( cp1(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f103,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cp1(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp1(X) ) ),
inference(NNF_transformation,[status(thm)],[f102]) ).
fof(f104,plain,
( ! [X] :
( ? [Y] : ra_Px1(X,Y)
| cp1(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp1(X) ) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f105,plain,
( ! [X] :
( ra_Px1(X,sK1_skl(X))
| cp1(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp1(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f108,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| cp1xcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cp1xcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f24]) ).
fof(f109,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cp1xcomp(X) )
& ! [X] :
( ? [Y0] : ra_Px1(X,Y0)
| ~ cp1xcomp(X) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f110,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cp1xcomp(X) )
& ! [X] :
( ra_Px1(X,sK2_skl(X))
| ~ cp1xcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y0,sK2_skl(X))],[f109]) ).
fof(f111,plain,
! [X0] :
( ra_Px1(X0,sK2_skl(X0))
| ~ cp1xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f113,plain,
! [X] :
( ( ~ cp1(X)
| ! [Y] :
( ~ ca_Vx3(Y)
| ~ rinvF(X,Y) )
| ca_Ax2(X) )
& ( ( cp1(X)
& ? [Y] :
( ca_Vx3(Y)
& rinvF(X,Y) ) )
| ~ ca_Ax2(X) ) ),
inference(NNF_transformation,[status(thm)],[f25]) ).
fof(f114,plain,
( ! [X] :
( ~ cp1(X)
| ! [Y] :
( ~ ca_Vx3(Y)
| ~ rinvF(X,Y) )
| ca_Ax2(X) )
& ! [X] :
( ( cp1(X)
& ? [Y] :
( ca_Vx3(Y)
& rinvF(X,Y) ) )
| ~ ca_Ax2(X) ) ),
inference(miniscoping,[status(thm)],[f113]) ).
fof(f115,plain,
( ! [X] :
( ~ cp1(X)
| ! [Y] :
( ~ ca_Vx3(Y)
| ~ rinvF(X,Y) )
| ca_Ax2(X) )
& ! [X] :
( ( cp1(X)
& ca_Vx3(sK3_skl(X))
& rinvF(X,sK3_skl(X)) )
| ~ ca_Ax2(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f114]) ).
fof(f116,plain,
! [X0] :
( rinvF(X0,sK3_skl(X0))
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0] :
( ca_Vx3(sK3_skl(X0))
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f118,plain,
! [X0] :
( cp1(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f120,plain,
! [X] :
( ( ! [Y] :
( ~ cp1xcomp(Y)
| ~ rf(X,Y) )
| ca_Vx3(X) )
& ( ? [Y] :
( cp1xcomp(Y)
& rf(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f121,plain,
( ! [X] :
( ! [Y] :
( ~ cp1xcomp(Y)
| ~ rf(X,Y) )
| ca_Vx3(X) )
& ! [X] :
( ? [Y] :
( cp1xcomp(Y)
& rf(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(miniscoping,[status(thm)],[f120]) ).
fof(f122,plain,
( ! [X] :
( ! [Y] :
( ~ cp1xcomp(Y)
| ~ rf(X,Y) )
| ca_Vx3(X) )
& ! [X] :
( ( cp1xcomp(sK4_skl(X))
& rf(X,sK4_skl(X)) )
| ~ ca_Vx3(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f121]) ).
fof(f123,plain,
! [X0] :
( rf(X0,sK4_skl(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
! [X0] :
( cp1xcomp(sK4_skl(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f126,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf(X,Y1)
| ~ rf(X,Y0) )
| ~ cowlThing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f127,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f128,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f129,plain,
( ! [X,Y] :
( ~ rf(Y,X)
| rinvF(X,Y) )
& ! [X,Y] :
( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(miniscoping,[status(thm)],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f139,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f142,plain,
ca_Ax2(sK0_skl(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[f100,f139]) ).
fof(f143,plain,
cp1(sK0_skl(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[f142,f118]) ).
fof(f147,plain,
rinvF(sK0_skl(i2003_11_14_17_21_48796),sK3_skl(sK0_skl(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[f116,f142]) ).
fof(f148,plain,
ca_Vx3(sK3_skl(sK0_skl(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[f117,f142]) ).
fof(f149,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f127,f90]) ).
fof(f156,plain,
rf(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)),sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)))),
inference(resolution,[status(thm)],[f148,f123]) ).
fof(f157,plain,
cp1xcomp(sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)))),
inference(resolution,[status(thm)],[f148,f124]) ).
fof(f158,plain,
rf(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)),sK0_skl(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[f147,f130]) ).
fof(f165,plain,
! [X0] :
( X0 = sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)))
| ~ rf(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)),X0) ),
inference(resolution,[status(thm)],[f156,f149]) ).
fof(f168,plain,
ra_Px1(sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796))),sK2_skl(sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796))))),
inference(resolution,[status(thm)],[f157,f111]) ).
fof(f179,plain,
sK0_skl(i2003_11_14_17_21_48796) = sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[f165,f158]) ).
fof(f185,plain,
~ cp1(sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)))),
inference(resolution,[status(thm)],[f168,f106]) ).
fof(f194,plain,
~ cp1(sK0_skl(i2003_11_14_17_21_48796)),
inference(backward_demodulation,[status(thm)],[f179,f185]) ).
fof(f200,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f194,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 22:54:57 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.034106 seconds
% 0.13/0.39 % CPU time: 0.088426 seconds
% 0.13/0.39 % Total memory used: 3.014 MB
% 0.13/0.39 % Net memory used: 2.882 MB
%------------------------------------------------------------------------------