%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS117+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 : n007.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 12:59:43 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 71 ( 20 unt; 0 def)
% Number of atoms : 221 ( 6 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 242 ( 92 ~; 85 |; 52 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 126 ( 108 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cd(Y)
& rinvF(X,Y) )
& ! [Y] :
( rinvR(X,Y)
=> ca_Vx3(Y) )
& ccxcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( cc(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( ccxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X] :
( cd(X)
<=> ( cc(X)
& ? [Y] :
( ccxcomp(Y)
& rf(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( cd(Y)
& rinvF(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(f29,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_37349),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X,Y] :
( rf(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f91,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f97,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cd(Y)
& rinvF(X,Y) )
& ! [Y] :
( ca_Vx3(Y)
| ~ rinvR(X,Y) )
& ccxcomp(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f98,plain,
! [X] :
( ( ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) )
| ? [Y] :
( ~ ca_Vx3(Y)
& rinvR(X,Y) )
| ~ ccxcomp(X)
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cd(Y)
& rinvF(X,Y) )
& ! [Y] :
( ca_Vx3(Y)
| ~ rinvR(X,Y) )
& ccxcomp(X) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
( ! [X] :
( ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) )
| ? [Y] :
( ~ ca_Vx3(Y)
& rinvR(X,Y) )
| ~ ccxcomp(X)
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cd(Y)
& rinvF(X,Y) )
& ! [Y] :
( ca_Vx3(Y)
| ~ rinvR(X,Y) )
& ccxcomp(X) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f100,plain,
( ! [X] :
( ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) )
| ( ~ ca_Vx3(sK1_skl(X))
& rinvR(X,sK1_skl(X)) )
| ~ ccxcomp(X)
| cUnsatisfiable(X) )
& ! [X] :
( ( cd(sK0_skl(X))
& rinvF(X,sK0_skl(X))
& ! [Y] :
( ca_Vx3(Y)
| ~ rinvR(X,Y) )
& ccxcomp(X) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X))],[f99]) ).
fof(f102,plain,
! [X0,X1] :
( ca_Vx3(X1)
| ~ rinvR(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f103,plain,
! [X0] :
( rinvF(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f104,plain,
! [X0] :
( cd(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f107,plain,
! [X] :
( cc(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f108,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cc(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cc(X) ) ),
inference(NNF_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
( ! [X] :
( ? [Y] : ra_Px1(X,Y)
| cc(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cc(X) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f110,plain,
( ! [X] :
( ra_Px1(X,sK2_skl(X))
| cc(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cc(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f113,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| ccxcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ ccxcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f24]) ).
fof(f114,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| ccxcomp(X) )
& ! [X] :
( ? [Y0] : ra_Px1(X,Y0)
| ~ ccxcomp(X) ) ),
inference(miniscoping,[status(thm)],[f113]) ).
fof(f115,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| ccxcomp(X) )
& ! [X] :
( ra_Px1(X,sK3_skl(X))
| ~ ccxcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y0,sK3_skl(X))],[f114]) ).
fof(f116,plain,
! [X0] :
( ra_Px1(X0,sK3_skl(X0))
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f118,plain,
! [X] :
( ( ~ cc(X)
| ! [Y] :
( ~ ccxcomp(Y)
| ~ rf(X,Y) )
| cd(X) )
& ( ( cc(X)
& ? [Y] :
( ccxcomp(Y)
& rf(X,Y) ) )
| ~ cd(X) ) ),
inference(NNF_transformation,[status(thm)],[f25]) ).
fof(f119,plain,
( ! [X] :
( ~ cc(X)
| ! [Y] :
( ~ ccxcomp(Y)
| ~ rf(X,Y) )
| cd(X) )
& ! [X] :
( ( cc(X)
& ? [Y] :
( ccxcomp(Y)
& rf(X,Y) ) )
| ~ cd(X) ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f120,plain,
( ! [X] :
( ~ cc(X)
| ! [Y] :
( ~ ccxcomp(Y)
| ~ rf(X,Y) )
| cd(X) )
& ! [X] :
( ( cc(X)
& ccxcomp(sK4_skl(X))
& rf(X,sK4_skl(X)) )
| ~ cd(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f119]) ).
fof(f121,plain,
! [X0] :
( rf(X0,sK4_skl(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f122,plain,
! [X0] :
( ccxcomp(sK4_skl(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f123,plain,
! [X0] :
( cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f125,plain,
! [X] :
( ( ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) )
| ca_Vx3(X) )
& ( ? [Y] :
( cd(Y)
& rinvF(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f126,plain,
( ! [X] :
( ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) )
| ca_Vx3(X) )
& ! [X] :
( ? [Y] :
( cd(Y)
& rinvF(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(miniscoping,[status(thm)],[f125]) ).
fof(f127,plain,
( ! [X] :
( ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) )
| ca_Vx3(X) )
& ! [X] :
( ( cd(sK5_skl(X))
& rinvF(X,sK5_skl(X)) )
| ~ ca_Vx3(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y,sK5_skl(X))],[f126]) ).
fof(f128,plain,
! [X0] :
( rinvF(X0,sK5_skl(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
! [X0] :
( cd(sK5_skl(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f131,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf(X,Y1)
| ~ rf(X,Y0) )
| ~ cowlThing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f132,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f134,plain,
( ! [X,Y] :
( ~ rf(Y,X)
| rinvF(X,Y) )
& ! [X,Y] :
( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(miniscoping,[status(thm)],[f133]) ).
fof(f135,plain,
! [X0,X1] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f29]) ).
fof(f138,plain,
( ! [X,Y] :
( ~ rr(Y,X)
| rinvR(X,Y) )
& ! [X,Y] :
( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(miniscoping,[status(thm)],[f137]) ).
fof(f140,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f144,plain,
cUnsatisfiable(i2003_11_14_17_21_37349),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f145,plain,
! [X,Y] :
( rr(X,Y)
| ~ rf(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f146,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f149,plain,
rinvF(i2003_11_14_17_21_37349,sK0_skl(i2003_11_14_17_21_37349)),
inference(resolution,[status(thm)],[f103,f144]) ).
fof(f150,plain,
cd(sK0_skl(i2003_11_14_17_21_37349)),
inference(resolution,[status(thm)],[f104,f144]) ).
fof(f151,plain,
cc(sK0_skl(i2003_11_14_17_21_37349)),
inference(resolution,[status(thm)],[f150,f123]) ).
fof(f157,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f132,f91]) ).
fof(f158,plain,
rf(sK0_skl(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
inference(resolution,[status(thm)],[f149,f135]) ).
fof(f171,plain,
rr(sK0_skl(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
inference(resolution,[status(thm)],[f158,f146]) ).
fof(f194,plain,
rinvR(i2003_11_14_17_21_37349,sK0_skl(i2003_11_14_17_21_37349)),
inference(resolution,[status(thm)],[f171,f140]) ).
fof(f228,plain,
( ca_Vx3(sK0_skl(i2003_11_14_17_21_37349))
| ~ cUnsatisfiable(i2003_11_14_17_21_37349) ),
inference(resolution,[status(thm)],[f194,f102]) ).
fof(f229,plain,
ca_Vx3(sK0_skl(i2003_11_14_17_21_37349)),
inference(forward_subsumption_resolution,[status(thm)],[f228,f144]) ).
fof(f230,plain,
cd(sK5_skl(sK0_skl(i2003_11_14_17_21_37349))),
inference(resolution,[status(thm)],[f229,f129]) ).
fof(f231,plain,
rinvF(sK0_skl(i2003_11_14_17_21_37349),sK5_skl(sK0_skl(i2003_11_14_17_21_37349))),
inference(resolution,[status(thm)],[f229,f128]) ).
fof(f235,plain,
ccxcomp(sK4_skl(sK5_skl(sK0_skl(i2003_11_14_17_21_37349)))),
inference(resolution,[status(thm)],[f230,f122]) ).
fof(f236,plain,
rf(sK5_skl(sK0_skl(i2003_11_14_17_21_37349)),sK4_skl(sK5_skl(sK0_skl(i2003_11_14_17_21_37349)))),
inference(resolution,[status(thm)],[f230,f121]) ).
fof(f263,plain,
rf(sK5_skl(sK0_skl(i2003_11_14_17_21_37349)),sK0_skl(i2003_11_14_17_21_37349)),
inference(resolution,[status(thm)],[f231,f135]) ).
fof(f291,plain,
ra_Px1(sK4_skl(sK5_skl(sK0_skl(i2003_11_14_17_21_37349))),sK3_skl(sK4_skl(sK5_skl(sK0_skl(i2003_11_14_17_21_37349))))),
inference(resolution,[status(thm)],[f235,f116]) ).
fof(f294,plain,
! [X0] :
( X0 = sK4_skl(sK5_skl(sK0_skl(i2003_11_14_17_21_37349)))
| ~ rf(sK5_skl(sK0_skl(i2003_11_14_17_21_37349)),X0) ),
inference(resolution,[status(thm)],[f236,f157]) ).
fof(f312,plain,
~ cc(sK4_skl(sK5_skl(sK0_skl(i2003_11_14_17_21_37349)))),
inference(resolution,[status(thm)],[f291,f111]) ).
fof(f323,plain,
sK0_skl(i2003_11_14_17_21_37349) = sK4_skl(sK5_skl(sK0_skl(i2003_11_14_17_21_37349))),
inference(resolution,[status(thm)],[f294,f263]) ).
fof(f360,plain,
~ cc(sK0_skl(i2003_11_14_17_21_37349)),
inference(backward_demodulation,[status(thm)],[f323,f312]) ).
fof(f366,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f360,f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS117+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 22:52:05 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.029774 seconds
% 0.14/0.40 % CPU time: 0.038176 seconds
% 0.14/0.40 % Total memory used: 1.172 MB
% 0.14/0.40 % Net memory used: 1.109 MB
%------------------------------------------------------------------------------