%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS052+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 01:00:10 PM UTC 2026
% Result : Satisfiable 11.51s 7.00s
% Output : Saturation 11.51s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( ccardinality_N(X)
<=> ( ! [Y0,Y1,Y2,Y3] :
( ( rinvQ_1_to_M(X,Y3)
& rinvQ_1_to_M(X,Y2)
& rinvQ_1_to_M(X,Y1)
& rinvQ_1_to_M(X,Y0) )
=> ( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1 ) )
& ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rinvQ_1_to_M(X,Y2)
& rinvQ_1_to_M(X,Y1)
& rinvQ_1_to_M(X,Y0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( ccardinality_N(X)
<=> ? [Y] :
( cinfinite(Y)
& rp_N_to_1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( ccardinality_N_times_M(X)
<=> ? [Y] :
( ccardinality_N(Y)
& rq_M_to_1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X] :
( ccardinality_N_times_M(X)
<=> ? [Y] :
( cinfinite(Y)
& rr_N_times_M_to_1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( cinfinite(X)
<=> ( ! [Y0,Y1,Y2,Y3,Y4,Y5] :
( ( rinvR_N_times_M_to_1(X,Y5)
& rinvR_N_times_M_to_1(X,Y4)
& rinvR_N_times_M_to_1(X,Y3)
& rinvR_N_times_M_to_1(X,Y2)
& rinvR_N_times_M_to_1(X,Y1)
& rinvR_N_times_M_to_1(X,Y0) )
=> ( Y4 = Y5
| Y3 = Y5
| Y3 = Y4
| Y2 = Y5
| Y2 = Y4
| Y2 = Y3
| Y1 = Y5
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y5
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1 ) )
& ? [Y0,Y1,Y2,Y3,Y4] :
( Y3 != Y4
& Y2 != Y4
& Y2 != Y3
& Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rinvR_N_times_M_to_1(X,Y4)
& rinvR_N_times_M_to_1(X,Y3)
& rinvR_N_times_M_to_1(X,Y2)
& rinvR_N_times_M_to_1(X,Y1)
& rinvR_N_times_M_to_1(X,Y0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X] :
( cinfinite(X)
<=> ( ! [Y0,Y1,Y2] :
( ( rinvP_1_to_N(X,Y2)
& rinvP_1_to_N(X,Y1)
& rinvP_1_to_N(X,Y0) )
=> ( Y1 = Y2
| Y0 = Y2
| Y0 = Y1 ) )
& ? [Y0,Y1] :
( Y0 != Y1
& rinvP_1_to_N(X,Y1)
& rinvP_1_to_N(X,Y0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y,Z] :
( ( rp_N_to_1(X,Z)
& rp_N_to_1(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,Y] :
( rp_N_to_1(X,Y)
=> ccardinality_N(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X,Y] :
( rp_N_to_1(X,Y)
=> cinfinite(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X,Y] :
( rp_N_to_1(X,Y)
<=> rinvP_1_to_N(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X,Y,Z] :
( ( rq_M_to_1(X,Z)
& rq_M_to_1(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X,Y] :
( rq_M_to_1(X,Y)
=> ccardinality_N_times_M(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X,Y] :
( rq_M_to_1(X,Y)
=> ccardinality_N(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X,Y] :
( rq_M_to_1(X,Y)
<=> rinvQ_1_to_M(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X,Y,Z] :
( ( rr_N_times_M_to_1(X,Z)
& rr_N_times_M_to_1(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X,Y] :
( rr_N_times_M_to_1(X,Y)
=> ccardinality_N_times_M(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X,Y] :
( rr_N_times_M_to_1(X,Y)
=> cinfinite(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X,Y] :
( rr_N_times_M_to_1(X,Y)
<=> rinvR_N_times_M_to_1(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f98,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f100,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f101,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f104,plain,
! [X] :
( ccardinality_N(X)
<=> ( ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rinvQ_1_to_M(X,Y3)
| ~ rinvQ_1_to_M(X,Y2)
| ~ rinvQ_1_to_M(X,Y1)
| ~ rinvQ_1_to_M(X,Y0) )
& ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rinvQ_1_to_M(X,Y2)
& rinvQ_1_to_M(X,Y1)
& rinvQ_1_to_M(X,Y0) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f105,plain,
! [X] :
( ( ? [Y0,Y1,Y2,Y3] :
( Y2 != Y3
& Y1 != Y3
& Y1 != Y2
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rinvQ_1_to_M(X,Y3)
& rinvQ_1_to_M(X,Y2)
& rinvQ_1_to_M(X,Y1)
& rinvQ_1_to_M(X,Y0) )
| ! [Y0,Y1,Y2] :
( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rinvQ_1_to_M(X,Y2)
| ~ rinvQ_1_to_M(X,Y1)
| ~ rinvQ_1_to_M(X,Y0) )
| ccardinality_N(X) )
& ( ( ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rinvQ_1_to_M(X,Y3)
| ~ rinvQ_1_to_M(X,Y2)
| ~ rinvQ_1_to_M(X,Y1)
| ~ rinvQ_1_to_M(X,Y0) )
& ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rinvQ_1_to_M(X,Y2)
& rinvQ_1_to_M(X,Y1)
& rinvQ_1_to_M(X,Y0) ) )
| ~ ccardinality_N(X) ) ),
inference(NNF_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
( ! [X] :
( ? [Y0,Y1,Y2,Y3] :
( Y2 != Y3
& Y1 != Y3
& Y1 != Y2
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rinvQ_1_to_M(X,Y3)
& rinvQ_1_to_M(X,Y2)
& rinvQ_1_to_M(X,Y1)
& rinvQ_1_to_M(X,Y0) )
| ! [Y1,Y2] :
( Y1 = Y2
| ! [Y0] :
( Y0 = Y2
| Y0 = Y1
| ~ rinvQ_1_to_M(X,Y2)
| ~ rinvQ_1_to_M(X,Y1)
| ~ rinvQ_1_to_M(X,Y0) ) )
| ccardinality_N(X) )
& ! [X] :
( ( ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rinvQ_1_to_M(X,Y3)
| ~ rinvQ_1_to_M(X,Y2)
| ~ rinvQ_1_to_M(X,Y1)
| ~ rinvQ_1_to_M(X,Y0) )
& ? [Y1,Y2] :
( Y1 != Y2
& ? [Y0] :
( Y0 != Y2
& Y0 != Y1
& rinvQ_1_to_M(X,Y2)
& rinvQ_1_to_M(X,Y1)
& rinvQ_1_to_M(X,Y0) ) ) )
| ~ ccardinality_N(X) ) ),
inference(miniscoping,[status(thm)],[f105]) ).
fof(f107,plain,
( ! [X] :
( ( sK5_skl(X) != sK6_skl(X)
& sK4_skl(X) != sK6_skl(X)
& sK4_skl(X) != sK5_skl(X)
& sK3_skl(X) != sK6_skl(X)
& sK3_skl(X) != sK5_skl(X)
& sK3_skl(X) != sK4_skl(X)
& rinvQ_1_to_M(X,sK6_skl(X))
& rinvQ_1_to_M(X,sK5_skl(X))
& rinvQ_1_to_M(X,sK4_skl(X))
& rinvQ_1_to_M(X,sK3_skl(X)) )
| ! [Y1,Y2] :
( Y1 = Y2
| ! [Y0] :
( Y0 = Y2
| Y0 = Y1
| ~ rinvQ_1_to_M(X,Y2)
| ~ rinvQ_1_to_M(X,Y1)
| ~ rinvQ_1_to_M(X,Y0) ) )
| ccardinality_N(X) )
& ! [X] :
( ( ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rinvQ_1_to_M(X,Y3)
| ~ rinvQ_1_to_M(X,Y2)
| ~ rinvQ_1_to_M(X,Y1)
| ~ rinvQ_1_to_M(X,Y0) )
& sK0_skl(X) != sK1_skl(X)
& sK2_skl(X) != sK1_skl(X)
& sK2_skl(X) != sK0_skl(X)
& rinvQ_1_to_M(X,sK1_skl(X))
& rinvQ_1_to_M(X,sK0_skl(X))
& rinvQ_1_to_M(X,sK2_skl(X)) )
| ~ ccardinality_N(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(Y1,sK0_skl(X)),skolemize(Y2,sK1_skl(X)),skolemize(Y0,sK2_skl(X)),skolemize(Y0,sK3_skl(X)),skolemize(Y1,sK4_skl(X)),skolemize(Y2,sK5_skl(X)),skolemize(Y3,sK6_skl(X))],[f106]) ).
fof(f108,plain,
! [X0] :
( rinvQ_1_to_M(X0,sK2_skl(X0))
| ~ ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
! [X0] :
( rinvQ_1_to_M(X0,sK0_skl(X0))
| ~ ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f110,plain,
! [X0] :
( rinvQ_1_to_M(X0,sK1_skl(X0))
| ~ ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f111,plain,
! [X0] :
( sK2_skl(X0) != sK0_skl(X0)
| ~ ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f112,plain,
! [X0] :
( sK2_skl(X0) != sK1_skl(X0)
| ~ ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f113,plain,
! [X0] :
( sK0_skl(X0) != sK1_skl(X0)
| ~ ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| X2 = X4
| X2 = X3
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvQ_1_to_M(X0,X4)
| ~ rinvQ_1_to_M(X0,X3)
| ~ rinvQ_1_to_M(X0,X2)
| ~ rinvQ_1_to_M(X0,X1)
| ~ ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( rinvQ_1_to_M(X0,sK3_skl(X0))
| X2 = X3
| X1 = X3
| X1 = X2
| ~ rinvQ_1_to_M(X0,X3)
| ~ rinvQ_1_to_M(X0,X2)
| ~ rinvQ_1_to_M(X0,X1)
| ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( rinvQ_1_to_M(X0,sK4_skl(X0))
| X2 = X3
| X1 = X3
| X1 = X2
| ~ rinvQ_1_to_M(X0,X3)
| ~ rinvQ_1_to_M(X0,X2)
| ~ rinvQ_1_to_M(X0,X1)
| ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( rinvQ_1_to_M(X0,sK5_skl(X0))
| X2 = X3
| X1 = X3
| X1 = X2
| ~ rinvQ_1_to_M(X0,X3)
| ~ rinvQ_1_to_M(X0,X2)
| ~ rinvQ_1_to_M(X0,X1)
| ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( rinvQ_1_to_M(X0,sK6_skl(X0))
| X2 = X3
| X1 = X3
| X1 = X2
| ~ rinvQ_1_to_M(X0,X3)
| ~ rinvQ_1_to_M(X0,X2)
| ~ rinvQ_1_to_M(X0,X1)
| ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( sK3_skl(X0) != sK4_skl(X0)
| X2 = X3
| X1 = X3
| X1 = X2
| ~ rinvQ_1_to_M(X0,X3)
| ~ rinvQ_1_to_M(X0,X2)
| ~ rinvQ_1_to_M(X0,X1)
| ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( sK3_skl(X0) != sK5_skl(X0)
| X2 = X3
| X1 = X3
| X1 = X2
| ~ rinvQ_1_to_M(X0,X3)
| ~ rinvQ_1_to_M(X0,X2)
| ~ rinvQ_1_to_M(X0,X1)
| ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( sK3_skl(X0) != sK6_skl(X0)
| X2 = X3
| X1 = X3
| X1 = X2
| ~ rinvQ_1_to_M(X0,X3)
| ~ rinvQ_1_to_M(X0,X2)
| ~ rinvQ_1_to_M(X0,X1)
| ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( sK4_skl(X0) != sK5_skl(X0)
| X2 = X3
| X1 = X3
| X1 = X2
| ~ rinvQ_1_to_M(X0,X3)
| ~ rinvQ_1_to_M(X0,X2)
| ~ rinvQ_1_to_M(X0,X1)
| ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( sK4_skl(X0) != sK6_skl(X0)
| X2 = X3
| X1 = X3
| X1 = X2
| ~ rinvQ_1_to_M(X0,X3)
| ~ rinvQ_1_to_M(X0,X2)
| ~ rinvQ_1_to_M(X0,X1)
| ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( sK5_skl(X0) != sK6_skl(X0)
| X2 = X3
| X1 = X3
| X1 = X2
| ~ rinvQ_1_to_M(X0,X3)
| ~ rinvQ_1_to_M(X0,X2)
| ~ rinvQ_1_to_M(X0,X1)
| ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f125,plain,
! [X] :
( ( ! [Y] :
( ~ cinfinite(Y)
| ~ rp_N_to_1(X,Y) )
| ccardinality_N(X) )
& ( ? [Y] :
( cinfinite(Y)
& rp_N_to_1(X,Y) )
| ~ ccardinality_N(X) ) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f126,plain,
( ! [X] :
( ! [Y] :
( ~ cinfinite(Y)
| ~ rp_N_to_1(X,Y) )
| ccardinality_N(X) )
& ! [X] :
( ? [Y] :
( cinfinite(Y)
& rp_N_to_1(X,Y) )
| ~ ccardinality_N(X) ) ),
inference(miniscoping,[status(thm)],[f125]) ).
fof(f127,plain,
( ! [X] :
( ! [Y] :
( ~ cinfinite(Y)
| ~ rp_N_to_1(X,Y) )
| ccardinality_N(X) )
& ! [X] :
( ( cinfinite(sK7_skl(X))
& rp_N_to_1(X,sK7_skl(X)) )
| ~ ccardinality_N(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Y,sK7_skl(X))],[f126]) ).
fof(f128,plain,
! [X0] :
( rp_N_to_1(X0,sK7_skl(X0))
| ~ ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
! [X0] :
( cinfinite(sK7_skl(X0))
| ~ ccardinality_N(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f131,plain,
! [X] :
( ( ! [Y] :
( ~ ccardinality_N(Y)
| ~ rq_M_to_1(X,Y) )
| ccardinality_N_times_M(X) )
& ( ? [Y] :
( ccardinality_N(Y)
& rq_M_to_1(X,Y) )
| ~ ccardinality_N_times_M(X) ) ),
inference(NNF_transformation,[status(thm)],[f24]) ).
fof(f132,plain,
( ! [X] :
( ! [Y] :
( ~ ccardinality_N(Y)
| ~ rq_M_to_1(X,Y) )
| ccardinality_N_times_M(X) )
& ! [X] :
( ? [Y] :
( ccardinality_N(Y)
& rq_M_to_1(X,Y) )
| ~ ccardinality_N_times_M(X) ) ),
inference(miniscoping,[status(thm)],[f131]) ).
fof(f133,plain,
( ! [X] :
( ! [Y] :
( ~ ccardinality_N(Y)
| ~ rq_M_to_1(X,Y) )
| ccardinality_N_times_M(X) )
& ! [X] :
( ( ccardinality_N(sK8_skl(X))
& rq_M_to_1(X,sK8_skl(X)) )
| ~ ccardinality_N_times_M(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Y,sK8_skl(X))],[f132]) ).
fof(f134,plain,
! [X0] :
( rq_M_to_1(X0,sK8_skl(X0))
| ~ ccardinality_N_times_M(X0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
! [X0] :
( ccardinality_N(sK8_skl(X0))
| ~ ccardinality_N_times_M(X0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
! [X] :
( ( ! [Y] :
( ~ cinfinite(Y)
| ~ rr_N_times_M_to_1(X,Y) )
| ccardinality_N_times_M(X) )
& ( ? [Y] :
( cinfinite(Y)
& rr_N_times_M_to_1(X,Y) )
| ~ ccardinality_N_times_M(X) ) ),
inference(NNF_transformation,[status(thm)],[f25]) ).
fof(f138,plain,
( ! [X] :
( ! [Y] :
( ~ cinfinite(Y)
| ~ rr_N_times_M_to_1(X,Y) )
| ccardinality_N_times_M(X) )
& ! [X] :
( ? [Y] :
( cinfinite(Y)
& rr_N_times_M_to_1(X,Y) )
| ~ ccardinality_N_times_M(X) ) ),
inference(miniscoping,[status(thm)],[f137]) ).
fof(f139,plain,
( ! [X] :
( ! [Y] :
( ~ cinfinite(Y)
| ~ rr_N_times_M_to_1(X,Y) )
| ccardinality_N_times_M(X) )
& ! [X] :
( ( cinfinite(sK9_skl(X))
& rr_N_times_M_to_1(X,sK9_skl(X)) )
| ~ ccardinality_N_times_M(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(Y,sK9_skl(X))],[f138]) ).
fof(f140,plain,
! [X0] :
( rr_N_times_M_to_1(X0,sK9_skl(X0))
| ~ ccardinality_N_times_M(X0) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
! [X0] :
( cinfinite(sK9_skl(X0))
| ~ ccardinality_N_times_M(X0) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f143,plain,
! [X] :
( cinfinite(X)
<=> ( ! [Y0,Y1,Y2,Y3,Y4,Y5] :
( Y4 = Y5
| Y3 = Y5
| Y3 = Y4
| Y2 = Y5
| Y2 = Y4
| Y2 = Y3
| Y1 = Y5
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y5
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rinvR_N_times_M_to_1(X,Y5)
| ~ rinvR_N_times_M_to_1(X,Y4)
| ~ rinvR_N_times_M_to_1(X,Y3)
| ~ rinvR_N_times_M_to_1(X,Y2)
| ~ rinvR_N_times_M_to_1(X,Y1)
| ~ rinvR_N_times_M_to_1(X,Y0) )
& ? [Y0,Y1,Y2,Y3,Y4] :
( Y3 != Y4
& Y2 != Y4
& Y2 != Y3
& Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rinvR_N_times_M_to_1(X,Y4)
& rinvR_N_times_M_to_1(X,Y3)
& rinvR_N_times_M_to_1(X,Y2)
& rinvR_N_times_M_to_1(X,Y1)
& rinvR_N_times_M_to_1(X,Y0) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f144,plain,
! [X] :
( ( ? [Y0,Y1,Y2,Y3,Y4,Y5] :
( Y4 != Y5
& Y3 != Y5
& Y3 != Y4
& Y2 != Y5
& Y2 != Y4
& Y2 != Y3
& Y1 != Y5
& Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& Y0 != Y5
& Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rinvR_N_times_M_to_1(X,Y5)
& rinvR_N_times_M_to_1(X,Y4)
& rinvR_N_times_M_to_1(X,Y3)
& rinvR_N_times_M_to_1(X,Y2)
& rinvR_N_times_M_to_1(X,Y1)
& rinvR_N_times_M_to_1(X,Y0) )
| ! [Y0,Y1,Y2,Y3,Y4] :
( Y3 = Y4
| Y2 = Y4
| Y2 = Y3
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rinvR_N_times_M_to_1(X,Y4)
| ~ rinvR_N_times_M_to_1(X,Y3)
| ~ rinvR_N_times_M_to_1(X,Y2)
| ~ rinvR_N_times_M_to_1(X,Y1)
| ~ rinvR_N_times_M_to_1(X,Y0) )
| cinfinite(X) )
& ( ( ! [Y0,Y1,Y2,Y3,Y4,Y5] :
( Y4 = Y5
| Y3 = Y5
| Y3 = Y4
| Y2 = Y5
| Y2 = Y4
| Y2 = Y3
| Y1 = Y5
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y5
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rinvR_N_times_M_to_1(X,Y5)
| ~ rinvR_N_times_M_to_1(X,Y4)
| ~ rinvR_N_times_M_to_1(X,Y3)
| ~ rinvR_N_times_M_to_1(X,Y2)
| ~ rinvR_N_times_M_to_1(X,Y1)
| ~ rinvR_N_times_M_to_1(X,Y0) )
& ? [Y0,Y1,Y2,Y3,Y4] :
( Y3 != Y4
& Y2 != Y4
& Y2 != Y3
& Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rinvR_N_times_M_to_1(X,Y4)
& rinvR_N_times_M_to_1(X,Y3)
& rinvR_N_times_M_to_1(X,Y2)
& rinvR_N_times_M_to_1(X,Y1)
& rinvR_N_times_M_to_1(X,Y0) ) )
| ~ cinfinite(X) ) ),
inference(NNF_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
( ! [X] :
( ? [Y0,Y1,Y2,Y3,Y4,Y5] :
( Y4 != Y5
& Y3 != Y5
& Y3 != Y4
& Y2 != Y5
& Y2 != Y4
& Y2 != Y3
& Y1 != Y5
& Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& Y0 != Y5
& Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rinvR_N_times_M_to_1(X,Y5)
& rinvR_N_times_M_to_1(X,Y4)
& rinvR_N_times_M_to_1(X,Y3)
& rinvR_N_times_M_to_1(X,Y2)
& rinvR_N_times_M_to_1(X,Y1)
& rinvR_N_times_M_to_1(X,Y0) )
| ! [Y3,Y4] :
( Y3 = Y4
| ! [Y2] :
( Y2 = Y4
| Y2 = Y3
| ! [Y1] :
( Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| ! [Y0] :
( Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rinvR_N_times_M_to_1(X,Y4)
| ~ rinvR_N_times_M_to_1(X,Y3)
| ~ rinvR_N_times_M_to_1(X,Y2)
| ~ rinvR_N_times_M_to_1(X,Y1)
| ~ rinvR_N_times_M_to_1(X,Y0) ) ) ) )
| cinfinite(X) )
& ! [X] :
( ( ! [Y0,Y1,Y2,Y3,Y4,Y5] :
( Y4 = Y5
| Y3 = Y5
| Y3 = Y4
| Y2 = Y5
| Y2 = Y4
| Y2 = Y3
| Y1 = Y5
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y5
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rinvR_N_times_M_to_1(X,Y5)
| ~ rinvR_N_times_M_to_1(X,Y4)
| ~ rinvR_N_times_M_to_1(X,Y3)
| ~ rinvR_N_times_M_to_1(X,Y2)
| ~ rinvR_N_times_M_to_1(X,Y1)
| ~ rinvR_N_times_M_to_1(X,Y0) )
& ? [Y3,Y4] :
( Y3 != Y4
& ? [Y2] :
( Y2 != Y4
& Y2 != Y3
& ? [Y1] :
( Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& ? [Y0] :
( Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rinvR_N_times_M_to_1(X,Y4)
& rinvR_N_times_M_to_1(X,Y3)
& rinvR_N_times_M_to_1(X,Y2)
& rinvR_N_times_M_to_1(X,Y1)
& rinvR_N_times_M_to_1(X,Y0) ) ) ) ) )
| ~ cinfinite(X) ) ),
inference(miniscoping,[status(thm)],[f144]) ).
fof(f146,plain,
( ! [X] :
( ( sK19_skl(X) != sK20_skl(X)
& sK18_skl(X) != sK20_skl(X)
& sK18_skl(X) != sK19_skl(X)
& sK17_skl(X) != sK20_skl(X)
& sK17_skl(X) != sK19_skl(X)
& sK17_skl(X) != sK18_skl(X)
& sK16_skl(X) != sK20_skl(X)
& sK16_skl(X) != sK19_skl(X)
& sK16_skl(X) != sK18_skl(X)
& sK16_skl(X) != sK17_skl(X)
& sK15_skl(X) != sK20_skl(X)
& sK15_skl(X) != sK19_skl(X)
& sK15_skl(X) != sK18_skl(X)
& sK15_skl(X) != sK17_skl(X)
& sK15_skl(X) != sK16_skl(X)
& rinvR_N_times_M_to_1(X,sK20_skl(X))
& rinvR_N_times_M_to_1(X,sK19_skl(X))
& rinvR_N_times_M_to_1(X,sK18_skl(X))
& rinvR_N_times_M_to_1(X,sK17_skl(X))
& rinvR_N_times_M_to_1(X,sK16_skl(X))
& rinvR_N_times_M_to_1(X,sK15_skl(X)) )
| ! [Y3,Y4] :
( Y3 = Y4
| ! [Y2] :
( Y2 = Y4
| Y2 = Y3
| ! [Y1] :
( Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| ! [Y0] :
( Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rinvR_N_times_M_to_1(X,Y4)
| ~ rinvR_N_times_M_to_1(X,Y3)
| ~ rinvR_N_times_M_to_1(X,Y2)
| ~ rinvR_N_times_M_to_1(X,Y1)
| ~ rinvR_N_times_M_to_1(X,Y0) ) ) ) )
| cinfinite(X) )
& ! [X] :
( ( ! [Y0,Y1,Y2,Y3,Y4,Y5] :
( Y4 = Y5
| Y3 = Y5
| Y3 = Y4
| Y2 = Y5
| Y2 = Y4
| Y2 = Y3
| Y1 = Y5
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y5
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rinvR_N_times_M_to_1(X,Y5)
| ~ rinvR_N_times_M_to_1(X,Y4)
| ~ rinvR_N_times_M_to_1(X,Y3)
| ~ rinvR_N_times_M_to_1(X,Y2)
| ~ rinvR_N_times_M_to_1(X,Y1)
| ~ rinvR_N_times_M_to_1(X,Y0) )
& sK10_skl(X) != sK11_skl(X)
& sK12_skl(X) != sK11_skl(X)
& sK12_skl(X) != sK10_skl(X)
& sK13_skl(X) != sK11_skl(X)
& sK13_skl(X) != sK10_skl(X)
& sK13_skl(X) != sK12_skl(X)
& sK14_skl(X) != sK11_skl(X)
& sK14_skl(X) != sK10_skl(X)
& sK14_skl(X) != sK12_skl(X)
& sK14_skl(X) != sK13_skl(X)
& rinvR_N_times_M_to_1(X,sK11_skl(X))
& rinvR_N_times_M_to_1(X,sK10_skl(X))
& rinvR_N_times_M_to_1(X,sK12_skl(X))
& rinvR_N_times_M_to_1(X,sK13_skl(X))
& rinvR_N_times_M_to_1(X,sK14_skl(X)) )
| ~ cinfinite(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl,sK16_skl,sK17_skl,sK18_skl,sK19_skl,sK20_skl]),skolemize(Y3,sK10_skl(X)),skolemize(Y4,sK11_skl(X)),skolemize(Y2,sK12_skl(X)),skolemize(Y1,sK13_skl(X)),skolemize(Y0,sK14_skl(X)),skolemize(Y0,sK15_skl(X)),skolemize(Y1,sK16_skl(X)),skolemize(Y2,sK17_skl(X)),skolemize(Y3,sK18_skl(X)),skolemize(Y4,sK19_skl(X)),skolemize(Y5,sK20_skl(X))],[f145]) ).
fof(f147,plain,
! [X0] :
( rinvR_N_times_M_to_1(X0,sK14_skl(X0))
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
! [X0] :
( rinvR_N_times_M_to_1(X0,sK13_skl(X0))
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f149,plain,
! [X0] :
( rinvR_N_times_M_to_1(X0,sK12_skl(X0))
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f150,plain,
! [X0] :
( rinvR_N_times_M_to_1(X0,sK10_skl(X0))
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f151,plain,
! [X0] :
( rinvR_N_times_M_to_1(X0,sK11_skl(X0))
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f152,plain,
! [X0] :
( sK14_skl(X0) != sK13_skl(X0)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f153,plain,
! [X0] :
( sK14_skl(X0) != sK12_skl(X0)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f154,plain,
! [X0] :
( sK14_skl(X0) != sK10_skl(X0)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f155,plain,
! [X0] :
( sK14_skl(X0) != sK11_skl(X0)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f156,plain,
! [X0] :
( sK13_skl(X0) != sK12_skl(X0)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f157,plain,
! [X0] :
( sK13_skl(X0) != sK10_skl(X0)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f158,plain,
! [X0] :
( sK13_skl(X0) != sK11_skl(X0)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f159,plain,
! [X0] :
( sK12_skl(X0) != sK10_skl(X0)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f160,plain,
! [X0] :
( sK12_skl(X0) != sK11_skl(X0)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f161,plain,
! [X0] :
( sK10_skl(X0) != sK11_skl(X0)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X6
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X6)
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5] :
( rinvR_N_times_M_to_1(X0,sK15_skl(X0))
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4,X5] :
( rinvR_N_times_M_to_1(X0,sK16_skl(X0))
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4,X5] :
( rinvR_N_times_M_to_1(X0,sK17_skl(X0))
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4,X5] :
( rinvR_N_times_M_to_1(X0,sK18_skl(X0))
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4,X5] :
( rinvR_N_times_M_to_1(X0,sK19_skl(X0))
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4,X5] :
( rinvR_N_times_M_to_1(X0,sK20_skl(X0))
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK15_skl(X0) != sK16_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f170,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK15_skl(X0) != sK17_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f171,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK15_skl(X0) != sK18_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK15_skl(X0) != sK19_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f173,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK15_skl(X0) != sK20_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK16_skl(X0) != sK17_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK16_skl(X0) != sK18_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK16_skl(X0) != sK19_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK16_skl(X0) != sK20_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK17_skl(X0) != sK18_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK17_skl(X0) != sK19_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK17_skl(X0) != sK20_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK18_skl(X0) != sK19_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK18_skl(X0) != sK20_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5] :
( sK19_skl(X0) != sK20_skl(X0)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rinvR_N_times_M_to_1(X0,X5)
| ~ rinvR_N_times_M_to_1(X0,X4)
| ~ rinvR_N_times_M_to_1(X0,X3)
| ~ rinvR_N_times_M_to_1(X0,X2)
| ~ rinvR_N_times_M_to_1(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f184,plain,
! [X] :
( cinfinite(X)
<=> ( ! [Y0,Y1,Y2] :
( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rinvP_1_to_N(X,Y2)
| ~ rinvP_1_to_N(X,Y1)
| ~ rinvP_1_to_N(X,Y0) )
& ? [Y0,Y1] :
( Y0 != Y1
& rinvP_1_to_N(X,Y1)
& rinvP_1_to_N(X,Y0) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f185,plain,
! [X] :
( ( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rinvP_1_to_N(X,Y2)
& rinvP_1_to_N(X,Y1)
& rinvP_1_to_N(X,Y0) )
| ! [Y0,Y1] :
( Y0 = Y1
| ~ rinvP_1_to_N(X,Y1)
| ~ rinvP_1_to_N(X,Y0) )
| cinfinite(X) )
& ( ( ! [Y0,Y1,Y2] :
( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rinvP_1_to_N(X,Y2)
| ~ rinvP_1_to_N(X,Y1)
| ~ rinvP_1_to_N(X,Y0) )
& ? [Y0,Y1] :
( Y0 != Y1
& rinvP_1_to_N(X,Y1)
& rinvP_1_to_N(X,Y0) ) )
| ~ cinfinite(X) ) ),
inference(NNF_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( ! [X] :
( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rinvP_1_to_N(X,Y2)
& rinvP_1_to_N(X,Y1)
& rinvP_1_to_N(X,Y0) )
| ! [Y0,Y1] :
( Y0 = Y1
| ~ rinvP_1_to_N(X,Y1)
| ~ rinvP_1_to_N(X,Y0) )
| cinfinite(X) )
& ! [X] :
( ( ! [Y0,Y1,Y2] :
( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rinvP_1_to_N(X,Y2)
| ~ rinvP_1_to_N(X,Y1)
| ~ rinvP_1_to_N(X,Y0) )
& ? [Y0,Y1] :
( Y0 != Y1
& rinvP_1_to_N(X,Y1)
& rinvP_1_to_N(X,Y0) ) )
| ~ cinfinite(X) ) ),
inference(miniscoping,[status(thm)],[f185]) ).
fof(f187,plain,
( ! [X] :
( ( sK24_skl(X) != sK25_skl(X)
& sK23_skl(X) != sK25_skl(X)
& sK23_skl(X) != sK24_skl(X)
& rinvP_1_to_N(X,sK25_skl(X))
& rinvP_1_to_N(X,sK24_skl(X))
& rinvP_1_to_N(X,sK23_skl(X)) )
| ! [Y0,Y1] :
( Y0 = Y1
| ~ rinvP_1_to_N(X,Y1)
| ~ rinvP_1_to_N(X,Y0) )
| cinfinite(X) )
& ! [X] :
( ( ! [Y0,Y1,Y2] :
( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rinvP_1_to_N(X,Y2)
| ~ rinvP_1_to_N(X,Y1)
| ~ rinvP_1_to_N(X,Y0) )
& sK21_skl(X) != sK22_skl(X)
& rinvP_1_to_N(X,sK22_skl(X))
& rinvP_1_to_N(X,sK21_skl(X)) )
| ~ cinfinite(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(Y0,sK21_skl(X)),skolemize(Y1,sK22_skl(X)),skolemize(Y0,sK23_skl(X)),skolemize(Y1,sK24_skl(X)),skolemize(Y2,sK25_skl(X))],[f186]) ).
fof(f188,plain,
! [X0] :
( rinvP_1_to_N(X0,sK21_skl(X0))
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
! [X0] :
( rinvP_1_to_N(X0,sK22_skl(X0))
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f190,plain,
! [X0] :
( sK21_skl(X0) != sK22_skl(X0)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| X1 = X3
| X1 = X2
| ~ rinvP_1_to_N(X0,X3)
| ~ rinvP_1_to_N(X0,X2)
| ~ rinvP_1_to_N(X0,X1)
| ~ cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f192,plain,
! [X0,X1,X2] :
( rinvP_1_to_N(X0,sK23_skl(X0))
| X1 = X2
| ~ rinvP_1_to_N(X0,X2)
| ~ rinvP_1_to_N(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f193,plain,
! [X0,X1,X2] :
( rinvP_1_to_N(X0,sK24_skl(X0))
| X1 = X2
| ~ rinvP_1_to_N(X0,X2)
| ~ rinvP_1_to_N(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f194,plain,
! [X0,X1,X2] :
( rinvP_1_to_N(X0,sK25_skl(X0))
| X1 = X2
| ~ rinvP_1_to_N(X0,X2)
| ~ rinvP_1_to_N(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f195,plain,
! [X0,X1,X2] :
( sK23_skl(X0) != sK24_skl(X0)
| X1 = X2
| ~ rinvP_1_to_N(X0,X2)
| ~ rinvP_1_to_N(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f196,plain,
! [X0,X1,X2] :
( sK23_skl(X0) != sK25_skl(X0)
| X1 = X2
| ~ rinvP_1_to_N(X0,X2)
| ~ rinvP_1_to_N(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f197,plain,
! [X0,X1,X2] :
( sK24_skl(X0) != sK25_skl(X0)
| X1 = X2
| ~ rinvP_1_to_N(X0,X2)
| ~ rinvP_1_to_N(X0,X1)
| cinfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f198,plain,
! [X,Y,Z] :
( Y = Z
| ~ rp_N_to_1(X,Z)
| ~ rp_N_to_1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f199,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rp_N_to_1(X,Z)
| ~ rp_N_to_1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rp_N_to_1(X0,X2)
| ~ rp_N_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
! [X,Y] :
( ccardinality_N(X)
| ~ rp_N_to_1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f202,plain,
! [X] :
( ccardinality_N(X)
| ! [Y] : ~ rp_N_to_1(X,Y) ),
inference(miniscoping,[status(thm)],[f201]) ).
fof(f203,plain,
! [X0,X1] :
( ccardinality_N(X0)
| ~ rp_N_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
! [X,Y] :
( cinfinite(Y)
| ~ rp_N_to_1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f205,plain,
! [Y] :
( cinfinite(Y)
| ! [X] : ~ rp_N_to_1(X,Y) ),
inference(miniscoping,[status(thm)],[f204]) ).
fof(f206,plain,
! [X0,X1] :
( cinfinite(X1)
| ~ rp_N_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
! [X,Y] :
( ( ~ rinvP_1_to_N(Y,X)
| rp_N_to_1(X,Y) )
& ( rinvP_1_to_N(Y,X)
| ~ rp_N_to_1(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f31]) ).
fof(f208,plain,
( ! [X,Y] :
( ~ rinvP_1_to_N(Y,X)
| rp_N_to_1(X,Y) )
& ! [X,Y] :
( rinvP_1_to_N(Y,X)
| ~ rp_N_to_1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f207]) ).
fof(f209,plain,
! [X0,X1] :
( rinvP_1_to_N(X1,X0)
| ~ rp_N_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
! [X0,X1] :
( ~ rinvP_1_to_N(X1,X0)
| rp_N_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f211,plain,
! [X,Y,Z] :
( Y = Z
| ~ rq_M_to_1(X,Z)
| ~ rq_M_to_1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f212,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rq_M_to_1(X,Z)
| ~ rq_M_to_1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f211]) ).
fof(f213,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rq_M_to_1(X0,X2)
| ~ rq_M_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f214,plain,
! [X,Y] :
( ccardinality_N_times_M(X)
| ~ rq_M_to_1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f215,plain,
! [X] :
( ccardinality_N_times_M(X)
| ! [Y] : ~ rq_M_to_1(X,Y) ),
inference(miniscoping,[status(thm)],[f214]) ).
fof(f216,plain,
! [X0,X1] :
( ccardinality_N_times_M(X0)
| ~ rq_M_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
! [X,Y] :
( ccardinality_N(Y)
| ~ rq_M_to_1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f218,plain,
! [Y] :
( ccardinality_N(Y)
| ! [X] : ~ rq_M_to_1(X,Y) ),
inference(miniscoping,[status(thm)],[f217]) ).
fof(f219,plain,
! [X0,X1] :
( ccardinality_N(X1)
| ~ rq_M_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
! [X,Y] :
( ( ~ rinvQ_1_to_M(Y,X)
| rq_M_to_1(X,Y) )
& ( rinvQ_1_to_M(Y,X)
| ~ rq_M_to_1(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f35]) ).
fof(f221,plain,
( ! [X,Y] :
( ~ rinvQ_1_to_M(Y,X)
| rq_M_to_1(X,Y) )
& ! [X,Y] :
( rinvQ_1_to_M(Y,X)
| ~ rq_M_to_1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f220]) ).
fof(f222,plain,
! [X0,X1] :
( rinvQ_1_to_M(X1,X0)
| ~ rq_M_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
! [X0,X1] :
( ~ rinvQ_1_to_M(X1,X0)
| rq_M_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f224,plain,
! [X,Y,Z] :
( Y = Z
| ~ rr_N_times_M_to_1(X,Z)
| ~ rr_N_times_M_to_1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f225,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rr_N_times_M_to_1(X,Z)
| ~ rr_N_times_M_to_1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f224]) ).
fof(f226,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rr_N_times_M_to_1(X0,X2)
| ~ rr_N_times_M_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f227,plain,
! [X,Y] :
( ccardinality_N_times_M(X)
| ~ rr_N_times_M_to_1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f228,plain,
! [X] :
( ccardinality_N_times_M(X)
| ! [Y] : ~ rr_N_times_M_to_1(X,Y) ),
inference(miniscoping,[status(thm)],[f227]) ).
fof(f229,plain,
! [X0,X1] :
( ccardinality_N_times_M(X0)
| ~ rr_N_times_M_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
! [X,Y] :
( cinfinite(Y)
| ~ rr_N_times_M_to_1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f231,plain,
! [Y] :
( cinfinite(Y)
| ! [X] : ~ rr_N_times_M_to_1(X,Y) ),
inference(miniscoping,[status(thm)],[f230]) ).
fof(f232,plain,
! [X0,X1] :
( cinfinite(X1)
| ~ rr_N_times_M_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f233,plain,
! [X,Y] :
( ( ~ rinvR_N_times_M_to_1(Y,X)
| rr_N_times_M_to_1(X,Y) )
& ( rinvR_N_times_M_to_1(Y,X)
| ~ rr_N_times_M_to_1(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f39]) ).
fof(f234,plain,
( ! [X,Y] :
( ~ rinvR_N_times_M_to_1(Y,X)
| rr_N_times_M_to_1(X,Y) )
& ! [X,Y] :
( rinvR_N_times_M_to_1(Y,X)
| ~ rr_N_times_M_to_1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f233]) ).
fof(f235,plain,
! [X0,X1] :
( rinvR_N_times_M_to_1(X1,X0)
| ~ rr_N_times_M_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f234]) ).
fof(f236,plain,
! [X0,X1] :
( ~ rinvR_N_times_M_to_1(X1,X0)
| rr_N_times_M_to_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS052+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.44 % Computer : n017.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Sun Sep 20 22:47:01 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.17/5.45 % Drodi V4.1.1
% 11.51/7.00 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 11.51/7.00 % SZS output start Saturation for theBenchmark
% See solution above
% 4.76/7.04 % Elapsed time: 1.591285 seconds
% 4.76/7.04 % CPU time: 12.266986 seconds
% 4.76/7.04 % Total memory used: 14.103 MB
% 4.76/7.04 % Net memory used: 11.881 MB
%------------------------------------------------------------------------------