%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS080+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 12:59:38 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 93 ( 14 unt; 13 def)
% Number of atoms : 488 ( 120 equ)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 610 ( 215 ~; 252 |; 124 &)
% ( 15 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 14 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 132 ( 96 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) )
& ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3] :
( ( rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
=> ( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1 ) )
& ? [Y] :
( cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& cp(Y)
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] :
( cp1(X)
=> ~ ( cp3(X)
| cp5(X)
| cp4(X)
| cp2(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( cp2(X)
=> ~ ( cp3(X)
| cp5(X)
| cp4(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] :
( cp3(X)
=> ~ ( cp5(X)
| cp4(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) )
& ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& cp(Y)
& rr(X,Y) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f69,plain,
! [X] :
( ( ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ? [Y0,Y1,Y2,Y3] :
( Y2 != Y3
& Y1 != Y3
& Y1 != Y2
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cp4(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) )
& ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& cp(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
( ! [X] :
( ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ? [Y0,Y1,Y2,Y3] :
( Y2 != Y3
& Y1 != Y3
& Y1 != Y2
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cp4(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) )
& ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& cp(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f71,plain,
( ! [X] :
( ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ( sK9_skl(X) != sK10_skl(X)
& sK8_skl(X) != sK10_skl(X)
& sK8_skl(X) != sK9_skl(X)
& sK7_skl(X) != sK10_skl(X)
& sK7_skl(X) != sK9_skl(X)
& sK7_skl(X) != sK8_skl(X)
& rr(X,sK10_skl(X))
& rr(X,sK9_skl(X))
& rr(X,sK8_skl(X))
& rr(X,sK7_skl(X)) )
| ! [Y] :
( ~ cp4(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( cp(sK6_skl(X))
& cp2(sK6_skl(X))
& rr(X,sK6_skl(X))
& cp3(sK5_skl(X))
& cp(sK5_skl(X))
& rr(X,sK5_skl(X))
& cp3(sK4_skl(X))
& rr(X,sK4_skl(X))
& cp2(sK3_skl(X))
& rr(X,sK3_skl(X))
& ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& cp4(sK2_skl(X))
& rr(X,sK2_skl(X))
& cp1(sK1_skl(X))
& rr(X,sK1_skl(X))
& cp1(sK0_skl(X))
& cp(sK0_skl(X))
& rr(X,sK0_skl(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X)),skolemize(Y,sK3_skl(X)),skolemize(Y,sK4_skl(X)),skolemize(Y,sK5_skl(X)),skolemize(Y,sK6_skl(X)),skolemize(Y0,sK7_skl(X)),skolemize(Y1,sK8_skl(X)),skolemize(Y2,sK9_skl(X)),skolemize(Y3,sK10_skl(X))],[f70]) ).
fof(f72,plain,
! [X0] :
( rr(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f74,plain,
! [X0] :
( cp1(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f77,plain,
! [X0] :
( rr(X0,sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f78,plain,
! [X0] :
( cp4(sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| X2 = X4
| X2 = X3
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f82,plain,
! [X0] :
( rr(X0,sK4_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f83,plain,
! [X0] :
( cp3(sK4_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f87,plain,
! [X0] :
( rr(X0,sK6_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f88,plain,
! [X0] :
( cp2(sK6_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f100,plain,
! [X] :
( ( ~ cp3(X)
& ~ cp5(X)
& ~ cp4(X)
& ~ cp2(X) )
| ~ cp1(X) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f101,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f104,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f105,plain,
! [X] :
( ( ~ cp3(X)
& ~ cp5(X)
& ~ cp4(X) )
| ~ cp2(X) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f106,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f108,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f109,plain,
! [X] :
( ( ~ cp5(X)
& ~ cp4(X) )
| ~ cp3(X) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f110,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f114,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f115,plain,
cp4(sK2_skl(i2003_11_14_17_19_21224)),
inference(resolution,[status(thm)],[f78,f114]) ).
fof(f116,plain,
~ cp3(sK2_skl(i2003_11_14_17_19_21224)),
inference(resolution,[status(thm)],[f115,f110]) ).
fof(f117,plain,
~ cp2(sK2_skl(i2003_11_14_17_19_21224)),
inference(resolution,[status(thm)],[f115,f106]) ).
fof(f118,plain,
~ cp1(sK2_skl(i2003_11_14_17_19_21224)),
inference(resolution,[status(thm)],[f115,f102]) ).
fof(f120,plain,
cp3(sK4_skl(i2003_11_14_17_19_21224)),
inference(resolution,[status(thm)],[f83,f114]) ).
fof(f121,plain,
~ cp2(sK4_skl(i2003_11_14_17_19_21224)),
inference(resolution,[status(thm)],[f120,f108]) ).
fof(f122,plain,
~ cp1(sK4_skl(i2003_11_14_17_19_21224)),
inference(resolution,[status(thm)],[f120,f104]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| X1 = X3
| X1 = X2
| X0 = X3
| X0 = X2
| X0 = X1
| ~ rr(i2003_11_14_17_19_21224,X3)
| ~ rr(i2003_11_14_17_19_21224,X2)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(resolution,[status(thm)],[f79,f114]) ).
fof(f127,plain,
! [X0] :
( ~ cp1(sK6_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f88,f101]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| X1 = X2
| sK6_skl(i2003_11_14_17_19_21224) = X2
| sK6_skl(i2003_11_14_17_19_21224) = X1
| X0 = X2
| X0 = X1
| X0 = sK6_skl(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X2)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(resolution,[status(thm)],[f126,f87]) ).
fof(f169,definition,
( sQ2_spl
<=> cUnsatisfiable(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( sQ2_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f173,definition,
! [X0,X1,X2] :
( sQ3_spl
<=> ( X1 = X2
| sK6_skl(i2003_11_14_17_19_21224) = X2
| sK6_skl(i2003_11_14_17_19_21224) = X1
| X0 = X2
| X0 = X1
| X0 = sK6_skl(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X2)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| X1 = X2
| sK6_skl(i2003_11_14_17_19_21224) = X2
| sK6_skl(i2003_11_14_17_19_21224) = X1
| X0 = X2
| X0 = X1
| X0 = sK6_skl(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X2)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( ~ sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f129,f173,f169]) ).
fof(f285,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f171,f114]) ).
fof(f286,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f285]) ).
fof(f292,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK4_skl(i2003_11_14_17_19_21224) = X1
| sK6_skl(i2003_11_14_17_19_21224) = X1
| sK6_skl(i2003_11_14_17_19_21224) = sK4_skl(i2003_11_14_17_19_21224)
| X0 = X1
| X0 = sK4_skl(i2003_11_14_17_19_21224)
| X0 = sK6_skl(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(resolution,[status(thm)],[f174,f82]) ).
fof(f324,definition,
( sQ33_spl
<=> sK6_skl(i2003_11_14_17_19_21224) = sK4_skl(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ33_spl
| sK6_skl(i2003_11_14_17_19_21224) = sK4_skl(i2003_11_14_17_19_21224) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f328,definition,
! [X0,X1] :
( sQ34_spl
<=> ( sK4_skl(i2003_11_14_17_19_21224) = X1
| sK6_skl(i2003_11_14_17_19_21224) = X1
| X0 = X1
| X0 = sK4_skl(i2003_11_14_17_19_21224)
| X0 = sK6_skl(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f329,plain,
! [X0,X1] :
( ~ sQ34_spl
| sK4_skl(i2003_11_14_17_19_21224) = X1
| sK6_skl(i2003_11_14_17_19_21224) = X1
| X0 = X1
| X0 = sK4_skl(i2003_11_14_17_19_21224)
| X0 = sK6_skl(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sQ33_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f292,f328,f324,f169,f173]) ).
fof(f346,definition,
( sQ39_spl
<=> sK6_skl(i2003_11_14_17_19_21224) = sK2_skl(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ39_spl
| sK6_skl(i2003_11_14_17_19_21224) = sK2_skl(i2003_11_14_17_19_21224) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f368,definition,
( sQ45_spl
<=> sK6_skl(i2003_11_14_17_19_21224) = sK0_skl(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ45_spl
| sK6_skl(i2003_11_14_17_19_21224) = sK0_skl(i2003_11_14_17_19_21224) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f412,plain,
( ~ sQ33_spl
| cp2(sK4_skl(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(paramodulation,[status(thm)],[f325,f88]) ).
fof(f425,definition,
( sQ54_spl
<=> cp2(sK4_skl(i2003_11_14_17_19_21224)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ54_spl
| cp2(sK4_skl(i2003_11_14_17_19_21224)) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( ~ sQ33_spl
| sQ54_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f412,f169,f425,f324]) ).
fof(f429,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f426,f121]) ).
fof(f430,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f429]) ).
fof(f488,plain,
( ~ sQ45_spl
| ~ cp1(sK0_skl(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(paramodulation,[status(thm)],[f369,f127]) ).
fof(f495,definition,
( sQ64_spl
<=> cp1(sK0_skl(i2003_11_14_17_19_21224)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( sQ64_spl
| ~ cp1(sK0_skl(i2003_11_14_17_19_21224)) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( ~ sQ45_spl
| ~ sQ64_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f488,f169,f495,f368]) ).
fof(f508,plain,
( sQ64_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(resolution,[status(thm)],[f497,f74]) ).
fof(f509,plain,
( sQ64_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f508,f169,f495]) ).
fof(f606,plain,
! [X0] :
( ~ sQ34_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK4_skl(i2003_11_14_17_19_21224) = sK0_skl(i2003_11_14_17_19_21224)
| sK6_skl(i2003_11_14_17_19_21224) = sK0_skl(i2003_11_14_17_19_21224)
| X0 = sK0_skl(i2003_11_14_17_19_21224)
| X0 = sK4_skl(i2003_11_14_17_19_21224)
| X0 = sK6_skl(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(resolution,[status(thm)],[f329,f72]) ).
fof(f623,definition,
( sQ87_spl
<=> sK4_skl(i2003_11_14_17_19_21224) = sK2_skl(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ87_spl
| sK4_skl(i2003_11_14_17_19_21224) = sK2_skl(i2003_11_14_17_19_21224) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f634,definition,
! [X0] :
( sQ90_spl
<=> ( X0 = sK0_skl(i2003_11_14_17_19_21224)
| X0 = sK4_skl(i2003_11_14_17_19_21224)
| X0 = sK6_skl(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f635,plain,
! [X0] :
( ~ sQ90_spl
| X0 = sK0_skl(i2003_11_14_17_19_21224)
| X0 = sK4_skl(i2003_11_14_17_19_21224)
| X0 = sK6_skl(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X0) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,definition,
( sQ91_spl
<=> sK4_skl(i2003_11_14_17_19_21224) = sK0_skl(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ91_spl
| sK4_skl(i2003_11_14_17_19_21224) = sK0_skl(i2003_11_14_17_19_21224) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,plain,
( ~ sQ34_spl
| ~ sQ2_spl
| sQ91_spl
| sQ45_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f606,f634,f368,f637,f169,f328]) ).
fof(f670,plain,
( ~ sQ39_spl
| cp2(sK2_skl(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(paramodulation,[status(thm)],[f347,f88]) ).
fof(f683,definition,
( sQ95_spl
<=> cp2(sK2_skl(i2003_11_14_17_19_21224)) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ95_spl
| cp2(sK2_skl(i2003_11_14_17_19_21224)) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,plain,
( ~ sQ39_spl
| sQ95_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f670,f169,f683,f346]) ).
fof(f687,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f117]) ).
fof(f688,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f687]) ).
fof(f1014,definition,
( sQ131_spl
<=> sK2_skl(i2003_11_14_17_19_21224) = sK0_skl(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( ~ sQ131_spl
| sK2_skl(i2003_11_14_17_19_21224) = sK0_skl(i2003_11_14_17_19_21224) ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1196,plain,
( ~ sQ91_spl
| ~ cp1(sK0_skl(i2003_11_14_17_19_21224)) ),
inference(backward_demodulation,[status(thm)],[f638,f122]) ).
fof(f1202,plain,
( ~ sQ91_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f1196,f495,f637]) ).
fof(f1342,plain,
( ~ sQ131_spl
| ~ cp1(sK0_skl(i2003_11_14_17_19_21224)) ),
inference(backward_demodulation,[status(thm)],[f1015,f118]) ).
fof(f1344,plain,
( ~ sQ131_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f1342,f495,f1014]) ).
fof(f1589,plain,
( ~ sQ87_spl
| cp3(sK2_skl(i2003_11_14_17_19_21224)) ),
inference(backward_demodulation,[status(thm)],[f624,f120]) ).
fof(f1594,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1589,f116]) ).
fof(f1595,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1594]) ).
fof(f1772,plain,
( ~ sQ90_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK2_skl(i2003_11_14_17_19_21224) = sK0_skl(i2003_11_14_17_19_21224)
| sK2_skl(i2003_11_14_17_19_21224) = sK4_skl(i2003_11_14_17_19_21224)
| sK2_skl(i2003_11_14_17_19_21224) = sK6_skl(i2003_11_14_17_19_21224) ),
inference(resolution,[status(thm)],[f635,f77]) ).
fof(f1781,plain,
( ~ sQ90_spl
| ~ sQ2_spl
| sQ131_spl
| sQ87_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f1772,f346,f623,f1014,f169,f634]) ).
fof(f1784,plain,
$false,
inference(sat_refutation,[status(thm)],[f176,f286,f331,f428,f430,f498,f509,f640,f686,f688,f1202,f1344,f1595,f1781]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS080+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.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 22:50:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.35 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.052571 seconds
% 0.12/0.41 % CPU time: 0.283018 seconds
% 0.12/0.41 % Total memory used: 8.669 MB
% 0.12/0.41 % Net memory used: 8.025 MB
%------------------------------------------------------------------------------