%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS104+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 : n010.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 12:59:42 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 127 ( 9 unt; 0 def)
% Number of atoms : 370 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 398 ( 155 ~; 154 |; 64 &)
% ( 23 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-1 aty)
% Number of variables : 237 ( 201 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ~ ? [Y] : ra_Px5(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cUnsatisfiablexcomp(X)
<=> ( ca_Cx6(X)
& ca_Cx8(X)
& ca_Cx7(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( cUnsatisfiablexcomp(X)
<=> ? [Y0] : ra_Px5(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( ca(X)
=> ca_Cx1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cb(X)
<=> ? [Y0] : ra_Px3(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( cb(X)
=> ccxcomp(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( cbxcomp(X)
<=> ~ ? [Y] : ra_Px3(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( cc(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( ccxcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( ca_Cx1(X)
<=> ( ccxcomp(X)
& cbxcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] :
( ca_Cx6(X)
<=> ~ ? [Y] : ra_Px6(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( ca_Cx6xcomp(X)
<=> ( cb(X)
& ca(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] :
( ca_Cx6xcomp(X)
<=> ? [Y0] : ra_Px6(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( ca_Cx7(X)
<=> ? [Y0] : ra_Px7(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] :
( ca_Cx7xcomp(X)
<=> ( ca(X)
& cc(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] :
( ca_Cx7xcomp(X)
<=> ~ ? [Y] : ra_Px7(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X] :
( ca_Cx8(X)
<=> ~ ? [Y] : ra_Px8(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( ca_Cx8xcomp(X)
<=> ? [Y0] : ra_Px8(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( ca_Cx8xcomp(X)
<=> ( cb(X)
& cc(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_20_50869),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,plain,
! [X] :
( cUnsatisfiable(X)
<=> ! [Y] : ~ ra_Px5(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f33,plain,
! [X] :
( ( ? [Y] : ra_Px5(X,Y)
| cUnsatisfiable(X) )
& ( ! [Y] : ~ ra_Px5(X,Y)
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
( ! [X] :
( ? [Y] : ra_Px5(X,Y)
| cUnsatisfiable(X) )
& ! [X] :
( ! [Y] : ~ ra_Px5(X,Y)
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f35,plain,
( ! [X] :
( ra_Px5(X,sK0_skl(X))
| cUnsatisfiable(X) )
& ! [X] :
( ! [Y] : ~ ra_Px5(X,Y)
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ~ ra_Px5(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f38,plain,
! [X] :
( ( ~ ca_Cx6(X)
| ~ ca_Cx8(X)
| ~ ca_Cx7(X)
| cUnsatisfiablexcomp(X) )
& ( ( ca_Cx6(X)
& ca_Cx8(X)
& ca_Cx7(X) )
| ~ cUnsatisfiablexcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
( ! [X] :
( ~ ca_Cx6(X)
| ~ ca_Cx8(X)
| ~ ca_Cx7(X)
| cUnsatisfiablexcomp(X) )
& ! [X] :
( ( ca_Cx6(X)
& ca_Cx8(X)
& ca_Cx7(X) )
| ~ cUnsatisfiablexcomp(X) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f43,plain,
! [X0] :
( ~ ca_Cx6(X0)
| ~ ca_Cx8(X0)
| ~ ca_Cx7(X0)
| cUnsatisfiablexcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f44,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px5(X,Y0)
| cUnsatisfiablexcomp(X) )
& ( ? [Y0] : ra_Px5(X,Y0)
| ~ cUnsatisfiablexcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f45,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px5(X,Y0)
| cUnsatisfiablexcomp(X) )
& ! [X] :
( ? [Y0] : ra_Px5(X,Y0)
| ~ cUnsatisfiablexcomp(X) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f46,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px5(X,Y0)
| cUnsatisfiablexcomp(X) )
& ! [X] :
( ra_Px5(X,sK1_skl(X))
| ~ cUnsatisfiablexcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y0,sK1_skl(X))],[f45]) ).
fof(f47,plain,
! [X0] :
( ra_Px5(X0,sK1_skl(X0))
| ~ cUnsatisfiablexcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f49,plain,
! [X] :
( ca_Cx1(X)
| ~ ca(X) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f50,plain,
! [X0] :
( ca_Cx1(X0)
| ~ ca(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px3(X,Y0)
| cb(X) )
& ( ? [Y0] : ra_Px3(X,Y0)
| ~ cb(X) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f52,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px3(X,Y0)
| cb(X) )
& ! [X] :
( ? [Y0] : ra_Px3(X,Y0)
| ~ cb(X) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f53,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px3(X,Y0)
| cb(X) )
& ! [X] :
( ra_Px3(X,sK2_skl(X))
| ~ cb(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y0,sK2_skl(X))],[f52]) ).
fof(f54,plain,
! [X0] :
( ra_Px3(X0,sK2_skl(X0))
| ~ cb(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f56,plain,
! [X] :
( ccxcomp(X)
| ~ cb(X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f57,plain,
! [X0] :
( ccxcomp(X0)
| ~ cb(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
! [X] :
( cbxcomp(X)
<=> ! [Y] : ~ ra_Px3(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f59,plain,
! [X] :
( ( ? [Y] : ra_Px3(X,Y)
| cbxcomp(X) )
& ( ! [Y] : ~ ra_Px3(X,Y)
| ~ cbxcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
( ! [X] :
( ? [Y] : ra_Px3(X,Y)
| cbxcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px3(X,Y)
| ~ cbxcomp(X) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f61,plain,
( ! [X] :
( ra_Px3(X,sK3_skl(X))
| cbxcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px3(X,Y)
| ~ cbxcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ~ ra_Px3(X0,X1)
| ~ cbxcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f64,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px2(X,Y0)
| cc(X) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ cc(X) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f65,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px2(X,Y0)
| cc(X) )
& ! [X] :
( ? [Y0] : ra_Px2(X,Y0)
| ~ cc(X) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f66,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px2(X,Y0)
| cc(X) )
& ! [X] :
( ra_Px2(X,sK4_skl(X))
| ~ cc(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y0,sK4_skl(X))],[f65]) ).
fof(f67,plain,
! [X0] :
( ra_Px2(X0,sK4_skl(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f69,plain,
! [X] :
( ccxcomp(X)
<=> ! [Y] : ~ ra_Px2(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f70,plain,
! [X] :
( ( ? [Y] : ra_Px2(X,Y)
| ccxcomp(X) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ ccxcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
( ! [X] :
( ? [Y] : ra_Px2(X,Y)
| ccxcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px2(X,Y)
| ~ ccxcomp(X) ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f72,plain,
( ! [X] :
( ra_Px2(X,sK5_skl(X))
| ccxcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px2(X,Y)
| ~ ccxcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y,sK5_skl(X))],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ~ ra_Px2(X0,X1)
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f75,plain,
! [X] :
( ( ~ ccxcomp(X)
| ~ cbxcomp(X)
| ca_Cx1(X) )
& ( ( ccxcomp(X)
& cbxcomp(X) )
| ~ ca_Cx1(X) ) ),
inference(NNF_transformation,[status(thm)],[f12]) ).
fof(f76,plain,
( ! [X] :
( ~ ccxcomp(X)
| ~ cbxcomp(X)
| ca_Cx1(X) )
& ! [X] :
( ( ccxcomp(X)
& cbxcomp(X) )
| ~ ca_Cx1(X) ) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0] :
( cbxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f78,plain,
! [X0] :
( ccxcomp(X0)
| ~ ca_Cx1(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f91,plain,
! [X] :
( ca_Cx6(X)
<=> ! [Y] : ~ ra_Px6(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f92,plain,
! [X] :
( ( ? [Y] : ra_Px6(X,Y)
| ca_Cx6(X) )
& ( ! [Y] : ~ ra_Px6(X,Y)
| ~ ca_Cx6(X) ) ),
inference(NNF_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
( ! [X] :
( ? [Y] : ra_Px6(X,Y)
| ca_Cx6(X) )
& ! [X] :
( ! [Y] : ~ ra_Px6(X,Y)
| ~ ca_Cx6(X) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f94,plain,
( ! [X] :
( ra_Px6(X,sK8_skl(X))
| ca_Cx6(X) )
& ! [X] :
( ! [Y] : ~ ra_Px6(X,Y)
| ~ ca_Cx6(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Y,sK8_skl(X))],[f93]) ).
fof(f96,plain,
! [X0] :
( ra_Px6(X0,sK8_skl(X0))
| ca_Cx6(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f97,plain,
! [X] :
( ( ~ cb(X)
| ~ ca(X)
| ca_Cx6xcomp(X) )
& ( ( cb(X)
& ca(X) )
| ~ ca_Cx6xcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f98,plain,
( ! [X] :
( ~ cb(X)
| ~ ca(X)
| ca_Cx6xcomp(X) )
& ! [X] :
( ( cb(X)
& ca(X) )
| ~ ca_Cx6xcomp(X) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f99,plain,
! [X0] :
( ca(X0)
| ~ ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
! [X0] :
( cb(X0)
| ~ ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f102,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px6(X,Y0)
| ca_Cx6xcomp(X) )
& ( ? [Y0] : ra_Px6(X,Y0)
| ~ ca_Cx6xcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f17]) ).
fof(f103,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px6(X,Y0)
| ca_Cx6xcomp(X) )
& ! [X] :
( ? [Y0] : ra_Px6(X,Y0)
| ~ ca_Cx6xcomp(X) ) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f104,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px6(X,Y0)
| ca_Cx6xcomp(X) )
& ! [X] :
( ra_Px6(X,sK9_skl(X))
| ~ ca_Cx6xcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(Y0,sK9_skl(X))],[f103]) ).
fof(f106,plain,
! [X0,X1] :
( ~ ra_Px6(X0,X1)
| ca_Cx6xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f107,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px7(X,Y0)
| ca_Cx7(X) )
& ( ? [Y0] : ra_Px7(X,Y0)
| ~ ca_Cx7(X) ) ),
inference(NNF_transformation,[status(thm)],[f18]) ).
fof(f108,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px7(X,Y0)
| ca_Cx7(X) )
& ! [X] :
( ? [Y0] : ra_Px7(X,Y0)
| ~ ca_Cx7(X) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f109,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px7(X,Y0)
| ca_Cx7(X) )
& ! [X] :
( ra_Px7(X,sK10_skl(X))
| ~ ca_Cx7(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(Y0,sK10_skl(X))],[f108]) ).
fof(f111,plain,
! [X0,X1] :
( ~ ra_Px7(X0,X1)
| ca_Cx7(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f112,plain,
! [X] :
( ( ~ ca(X)
| ~ cc(X)
| ca_Cx7xcomp(X) )
& ( ( ca(X)
& cc(X) )
| ~ ca_Cx7xcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f113,plain,
( ! [X] :
( ~ ca(X)
| ~ cc(X)
| ca_Cx7xcomp(X) )
& ! [X] :
( ( ca(X)
& cc(X) )
| ~ ca_Cx7xcomp(X) ) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f114,plain,
! [X0] :
( cc(X0)
| ~ ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [X0] :
( ca(X0)
| ~ ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f117,plain,
! [X] :
( ca_Cx7xcomp(X)
<=> ! [Y] : ~ ra_Px7(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f118,plain,
! [X] :
( ( ? [Y] : ra_Px7(X,Y)
| ca_Cx7xcomp(X) )
& ( ! [Y] : ~ ra_Px7(X,Y)
| ~ ca_Cx7xcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
( ! [X] :
( ? [Y] : ra_Px7(X,Y)
| ca_Cx7xcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px7(X,Y)
| ~ ca_Cx7xcomp(X) ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f120,plain,
( ! [X] :
( ra_Px7(X,sK11_skl(X))
| ca_Cx7xcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px7(X,Y)
| ~ ca_Cx7xcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(Y,sK11_skl(X))],[f119]) ).
fof(f122,plain,
! [X0] :
( ra_Px7(X0,sK11_skl(X0))
| ca_Cx7xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f123,plain,
! [X] :
( ca_Cx8(X)
<=> ! [Y] : ~ ra_Px8(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f124,plain,
! [X] :
( ( ? [Y] : ra_Px8(X,Y)
| ca_Cx8(X) )
& ( ! [Y] : ~ ra_Px8(X,Y)
| ~ ca_Cx8(X) ) ),
inference(NNF_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
( ! [X] :
( ? [Y] : ra_Px8(X,Y)
| ca_Cx8(X) )
& ! [X] :
( ! [Y] : ~ ra_Px8(X,Y)
| ~ ca_Cx8(X) ) ),
inference(miniscoping,[status(thm)],[f124]) ).
fof(f126,plain,
( ! [X] :
( ra_Px8(X,sK12_skl(X))
| ca_Cx8(X) )
& ! [X] :
( ! [Y] : ~ ra_Px8(X,Y)
| ~ ca_Cx8(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(Y,sK12_skl(X))],[f125]) ).
fof(f128,plain,
! [X0] :
( ra_Px8(X0,sK12_skl(X0))
| ca_Cx8(X0) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f129,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px8(X,Y0)
| ca_Cx8xcomp(X) )
& ( ? [Y0] : ra_Px8(X,Y0)
| ~ ca_Cx8xcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f130,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px8(X,Y0)
| ca_Cx8xcomp(X) )
& ! [X] :
( ? [Y0] : ra_Px8(X,Y0)
| ~ ca_Cx8xcomp(X) ) ),
inference(miniscoping,[status(thm)],[f129]) ).
fof(f131,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px8(X,Y0)
| ca_Cx8xcomp(X) )
& ! [X] :
( ra_Px8(X,sK13_skl(X))
| ~ ca_Cx8xcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(Y0,sK13_skl(X))],[f130]) ).
fof(f133,plain,
! [X0,X1] :
( ~ ra_Px8(X0,X1)
| ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f134,plain,
! [X] :
( ( ~ cb(X)
| ~ cc(X)
| ca_Cx8xcomp(X) )
& ( ( cb(X)
& cc(X) )
| ~ ca_Cx8xcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f135,plain,
( ! [X] :
( ~ cb(X)
| ~ cc(X)
| ca_Cx8xcomp(X) )
& ! [X] :
( ( cb(X)
& cc(X) )
| ~ ca_Cx8xcomp(X) ) ),
inference(miniscoping,[status(thm)],[f134]) ).
fof(f136,plain,
! [X0] :
( cc(X0)
| ~ ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
! [X0] :
( cb(X0)
| ~ ca_Cx8xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f139,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f156,plain,
! [X0] :
( ca_Cx6xcomp(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[f96,f106]) ).
fof(f158,plain,
! [X0] :
( cb(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[f156,f100]) ).
fof(f159,plain,
! [X0] :
( ca(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[f156,f99]) ).
fof(f161,plain,
! [X0] :
( ra_Px3(X0,sK2_skl(X0))
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[f158,f54]) ).
fof(f165,plain,
! [X0] :
( ca_Cx7(X0)
| ca_Cx7xcomp(X0) ),
inference(resolution,[status(thm)],[f122,f111]) ).
fof(f166,plain,
! [X0] :
( ca_Cx8xcomp(X0)
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[f128,f133]) ).
fof(f169,plain,
! [X0] :
( ca(X0)
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[f165,f115]) ).
fof(f170,plain,
! [X0] :
( cc(X0)
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[f165,f114]) ).
fof(f171,plain,
! [X0] :
( cb(X0)
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[f166,f137]) ).
fof(f172,plain,
! [X0] :
( cc(X0)
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[f166,f136]) ).
fof(f175,plain,
! [X0] :
( ra_Px2(X0,sK4_skl(X0))
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[f170,f67]) ).
fof(f179,plain,
! [X0] :
( ra_Px2(X0,sK4_skl(X0))
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[f172,f67]) ).
fof(f189,plain,
! [X0] :
( ~ cbxcomp(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[f161,f62]) ).
fof(f192,plain,
! [X0] :
( ~ ca_Cx1(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[f189,f77]) ).
fof(f193,plain,
! [X0] :
( ~ ca(X0)
| ca_Cx6(X0) ),
inference(resolution,[status(thm)],[f192,f50]) ).
fof(f194,plain,
! [X0] : ca_Cx6(X0),
inference(forward_subsumption_resolution,[status(thm)],[f193,f159]) ).
fof(f197,plain,
! [X0] :
( ~ ca_Cx8(X0)
| ~ ca_Cx7(X0)
| cUnsatisfiablexcomp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f43,f194]) ).
fof(f207,plain,
! [X0] :
( ~ ccxcomp(X0)
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[f175,f73]) ).
fof(f210,plain,
! [X0] :
( ~ ca_Cx1(X0)
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[f207,f78]) ).
fof(f213,plain,
! [X0] :
( ~ ca(X0)
| ca_Cx7(X0) ),
inference(resolution,[status(thm)],[f210,f50]) ).
fof(f214,plain,
! [X0] : ca_Cx7(X0),
inference(forward_subsumption_resolution,[status(thm)],[f213,f169]) ).
fof(f215,plain,
! [X0] :
( ~ ca_Cx8(X0)
| cUnsatisfiablexcomp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f197,f214]) ).
fof(f223,plain,
! [X0] :
( ~ ccxcomp(X0)
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[f179,f73]) ).
fof(f226,plain,
! [X0] :
( ~ cb(X0)
| ca_Cx8(X0) ),
inference(resolution,[status(thm)],[f223,f57]) ).
fof(f227,plain,
! [X0] : ca_Cx8(X0),
inference(forward_subsumption_resolution,[status(thm)],[f226,f171]) ).
fof(f229,plain,
! [X0] : cUnsatisfiablexcomp(X0),
inference(backward_subsumption_resolution,[status(thm)],[f215,f227]) ).
fof(f231,plain,
! [X0] : ra_Px5(X0,sK1_skl(X0)),
inference(backward_subsumption_resolution,[status(thm)],[f47,f229]) ).
fof(f233,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(resolution,[status(thm)],[f231,f36]) ).
fof(f236,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f139,f233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 22:53:41 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.41 % Elapsed time: 0.035705 seconds
% 0.11/0.41 % CPU time: 0.081349 seconds
% 0.11/0.41 % Total memory used: 3.054 MB
% 0.11/0.41 % Net memory used: 2.975 MB
%------------------------------------------------------------------------------