%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS052+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:36:14 PM UTC 2026
% Result : Satisfiable 1.46s 1.76s
% Output : Saturation 1.46s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_18,axiom,
! [X4,X9] :
( rr_N_times_M_to_1(X4,X9)
=> cinfinite(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(axiom_19,axiom,
! [X4,X9] :
( rr_N_times_M_to_1(X4,X9)
<=> rinvR_N_times_M_to_1(X9,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(axiom_6,axiom,
! [X4] :
( cinfinite(X4)
<=> ( ? [X5,X6,X7,X8,X10] :
( rinvR_N_times_M_to_1(X4,X5)
& rinvR_N_times_M_to_1(X4,X6)
& rinvR_N_times_M_to_1(X4,X7)
& rinvR_N_times_M_to_1(X4,X8)
& rinvR_N_times_M_to_1(X4,X10)
& X5 != X6
& X5 != X7
& X5 != X8
& X5 != X10
& X6 != X7
& X6 != X8
& X6 != X10
& X7 != X8
& X7 != X10
& X8 != X10 )
& ! [X5,X6,X7,X8,X10,X11] :
( ( rinvR_N_times_M_to_1(X4,X5)
& rinvR_N_times_M_to_1(X4,X6)
& rinvR_N_times_M_to_1(X4,X7)
& rinvR_N_times_M_to_1(X4,X8)
& rinvR_N_times_M_to_1(X4,X10)
& rinvR_N_times_M_to_1(X4,X11) )
=> ( X5 = X6
| X5 = X7
| X5 = X8
| X5 = X10
| X5 = X11
| X6 = X7
| X6 = X8
| X6 = X10
| X6 = X11
| X7 = X8
| X7 = X10
| X7 = X11
| X8 = X10
| X8 = X11
| X10 = X11 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_14,axiom,
! [X4,X9] :
( rq_M_to_1(X4,X9)
=> ccardinality_N(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X4,X9] :
( rq_M_to_1(X4,X9)
<=> rinvQ_1_to_M(X9,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(axiom_2,axiom,
! [X4] :
( ccardinality_N(X4)
<=> ( ? [X5,X6,X7] :
( rinvQ_1_to_M(X4,X5)
& rinvQ_1_to_M(X4,X6)
& rinvQ_1_to_M(X4,X7)
& X5 != X6
& X5 != X7
& X6 != X7 )
& ! [X5,X6,X7,X8] :
( ( rinvQ_1_to_M(X4,X5)
& rinvQ_1_to_M(X4,X6)
& rinvQ_1_to_M(X4,X7)
& rinvQ_1_to_M(X4,X8) )
=> ( X5 = X6
| X5 = X7
| X5 = X8
| X6 = X7
| X6 = X8
| X7 = X8 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_5,axiom,
! [X4] :
( ccardinality_N_times_M(X4)
<=> ? [X9] :
( rr_N_times_M_to_1(X4,X9)
& cinfinite(X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_10,axiom,
! [X4,X9] :
( rp_N_to_1(X4,X9)
=> cinfinite(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X4,X9] :
( rp_N_to_1(X4,X9)
<=> rinvP_1_to_N(X9,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_7,axiom,
! [X4] :
( cinfinite(X4)
<=> ( ? [X5,X6] :
( rinvP_1_to_N(X4,X5)
& rinvP_1_to_N(X4,X6)
& X5 != X6 )
& ! [X5,X6,X7] :
( ( rinvP_1_to_N(X4,X5)
& rinvP_1_to_N(X4,X6)
& rinvP_1_to_N(X4,X7) )
=> ( X5 = X6
| X5 = X7
| X6 = X7 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_16,axiom,
! [X4,X9,X12] :
( ( rr_N_times_M_to_1(X4,X9)
& rr_N_times_M_to_1(X4,X12) )
=> X9 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
! [X4,X9] :
( rr_N_times_M_to_1(X4,X9)
=> ccardinality_N_times_M(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(axiom_12,axiom,
! [X4,X9,X12] :
( ( rq_M_to_1(X4,X9)
& rq_M_to_1(X4,X12) )
=> X9 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_4,axiom,
! [X4] :
( ccardinality_N_times_M(X4)
<=> ? [X9] :
( rq_M_to_1(X4,X9)
& ccardinality_N(X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_13,axiom,
! [X4,X9] :
( rq_M_to_1(X4,X9)
=> ccardinality_N_times_M(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(axiom_8,axiom,
! [X4,X9,X12] :
( ( rp_N_to_1(X4,X9)
& rp_N_to_1(X4,X12) )
=> X9 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_3,axiom,
! [X4] :
( ccardinality_N(X4)
<=> ? [X9] :
( rp_N_to_1(X4,X9)
& cinfinite(X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_9,axiom,
! [X4,X9] :
( rp_N_to_1(X4,X9)
=> ccardinality_N(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(c_0_20,plain,
! [X262,X263] :
( ~ rr_N_times_M_to_1(X262,X263)
| cinfinite(X263) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_18])]) ).
fof(c_0_21,plain,
! [X264,X265] :
( ( ~ rr_N_times_M_to_1(X264,X265)
| rinvR_N_times_M_to_1(X265,X264) )
& ( ~ rinvR_N_times_M_to_1(X265,X264)
| rr_N_times_M_to_1(X264,X265) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_19])]) ).
fof(c_0_22,plain,
! [X204,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220] :
( ( rinvR_N_times_M_to_1(X204,esk11_1(X204))
| ~ cinfinite(X204) )
& ( rinvR_N_times_M_to_1(X204,esk12_1(X204))
| ~ cinfinite(X204) )
& ( rinvR_N_times_M_to_1(X204,esk13_1(X204))
| ~ cinfinite(X204) )
& ( rinvR_N_times_M_to_1(X204,esk14_1(X204))
| ~ cinfinite(X204) )
& ( rinvR_N_times_M_to_1(X204,esk15_1(X204))
| ~ cinfinite(X204) )
& ( esk11_1(X204) != esk12_1(X204)
| ~ cinfinite(X204) )
& ( esk11_1(X204) != esk13_1(X204)
| ~ cinfinite(X204) )
& ( esk11_1(X204) != esk14_1(X204)
| ~ cinfinite(X204) )
& ( esk11_1(X204) != esk15_1(X204)
| ~ cinfinite(X204) )
& ( esk12_1(X204) != esk13_1(X204)
| ~ cinfinite(X204) )
& ( esk12_1(X204) != esk14_1(X204)
| ~ cinfinite(X204) )
& ( esk12_1(X204) != esk15_1(X204)
| ~ cinfinite(X204) )
& ( esk13_1(X204) != esk14_1(X204)
| ~ cinfinite(X204) )
& ( esk13_1(X204) != esk15_1(X204)
| ~ cinfinite(X204) )
& ( esk14_1(X204) != esk15_1(X204)
| ~ cinfinite(X204) )
& ( ~ rinvR_N_times_M_to_1(X204,X210)
| ~ rinvR_N_times_M_to_1(X204,X211)
| ~ rinvR_N_times_M_to_1(X204,X212)
| ~ rinvR_N_times_M_to_1(X204,X213)
| ~ rinvR_N_times_M_to_1(X204,X214)
| ~ rinvR_N_times_M_to_1(X204,X215)
| X210 = X211
| X210 = X212
| X210 = X213
| X210 = X214
| X210 = X215
| X211 = X212
| X211 = X213
| X211 = X214
| X211 = X215
| X212 = X213
| X212 = X214
| X212 = X215
| X213 = X214
| X213 = X215
| X214 = X215
| ~ cinfinite(X204) )
& ( rinvR_N_times_M_to_1(X204,esk16_1(X204))
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( rinvR_N_times_M_to_1(X204,esk17_1(X204))
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( rinvR_N_times_M_to_1(X204,esk18_1(X204))
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( rinvR_N_times_M_to_1(X204,esk19_1(X204))
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( rinvR_N_times_M_to_1(X204,esk20_1(X204))
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( rinvR_N_times_M_to_1(X204,esk21_1(X204))
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk16_1(X204) != esk17_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk16_1(X204) != esk18_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk16_1(X204) != esk19_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk16_1(X204) != esk20_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk16_1(X204) != esk21_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk17_1(X204) != esk18_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk17_1(X204) != esk19_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk17_1(X204) != esk20_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk17_1(X204) != esk21_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk18_1(X204) != esk19_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk18_1(X204) != esk20_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk18_1(X204) != esk21_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk19_1(X204) != esk20_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk19_1(X204) != esk21_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) )
& ( esk20_1(X204) != esk21_1(X204)
| ~ rinvR_N_times_M_to_1(X204,X216)
| ~ rinvR_N_times_M_to_1(X204,X217)
| ~ rinvR_N_times_M_to_1(X204,X218)
| ~ rinvR_N_times_M_to_1(X204,X219)
| ~ rinvR_N_times_M_to_1(X204,X220)
| X216 = X217
| X216 = X218
| X216 = X219
| X216 = X220
| X217 = X218
| X217 = X219
| X217 = X220
| X218 = X219
| X218 = X220
| X219 = X220
| cinfinite(X204) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])])])]) ).
cnf(c_0_23,plain,
( cinfinite(X2)
| ~ rr_N_times_M_to_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]),
[final] ).
cnf(c_0_24,plain,
( rr_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_25,plain,
( X2 = X3
| X2 = X4
| X2 = X5
| X2 = X6
| X2 = X7
| X3 = X4
| X3 = X5
| X3 = X6
| X3 = X7
| X4 = X5
| X4 = X6
| X4 = X7
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X7)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( cinfinite(X1)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]),
[final] ).
cnf(c_0_27,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| X4 = X2
| X4 = X1
| X4 = X3
| X5 = X2
| X5 = X1
| X5 = X3
| X5 = X4
| X6 = X2
| X6 = X1
| X6 = X3
| X6 = X4
| X6 = X5
| ~ rinvR_N_times_M_to_1(X7,X2)
| ~ rinvR_N_times_M_to_1(X7,X1)
| ~ rinvR_N_times_M_to_1(X7,X3)
| ~ rinvR_N_times_M_to_1(X7,X4)
| ~ rinvR_N_times_M_to_1(X7,X5)
| ~ rinvR_N_times_M_to_1(X7,X6) ),
inference(csr,[status(thm)],[c_0_25,c_0_26]),
[final] ).
cnf(c_0_28,plain,
( rinvR_N_times_M_to_1(X1,esk15_1(X1))
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_29,plain,
( X1 = esk15_1(X2)
| X3 = esk15_1(X2)
| X4 = esk15_1(X2)
| X5 = esk15_1(X2)
| X6 = esk15_1(X2)
| X1 = X3
| X1 = X4
| X1 = X5
| X1 = X6
| X3 = X4
| X3 = X5
| X3 = X6
| X4 = X5
| X4 = X6
| X5 = X6
| ~ rinvR_N_times_M_to_1(X2,X6)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26]),
[final] ).
cnf(c_0_30,plain,
( rinvR_N_times_M_to_1(X1,esk14_1(X1))
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
fof(c_0_31,plain,
! [X253,X254] :
( ~ rq_M_to_1(X253,X254)
| ccardinality_N(X254) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_14])]) ).
fof(c_0_32,plain,
! [X255,X256] :
( ( ~ rq_M_to_1(X255,X256)
| rinvQ_1_to_M(X256,X255) )
& ( ~ rinvQ_1_to_M(X256,X255)
| rq_M_to_1(X255,X256) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_15])]) ).
cnf(c_0_33,plain,
( esk15_1(X1) = esk14_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X4 = esk14_1(X1)
| X5 = esk14_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X4 = esk15_1(X1)
| X5 = esk15_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_26]),
[final] ).
cnf(c_0_34,plain,
( rinvR_N_times_M_to_1(X1,esk13_1(X1))
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
fof(c_0_35,plain,
! [X176,X180,X181,X182,X183,X184,X185,X186,X187] :
( ( rinvQ_1_to_M(X176,esk1_1(X176))
| ~ ccardinality_N(X176) )
& ( rinvQ_1_to_M(X176,esk2_1(X176))
| ~ ccardinality_N(X176) )
& ( rinvQ_1_to_M(X176,esk3_1(X176))
| ~ ccardinality_N(X176) )
& ( esk1_1(X176) != esk2_1(X176)
| ~ ccardinality_N(X176) )
& ( esk1_1(X176) != esk3_1(X176)
| ~ ccardinality_N(X176) )
& ( esk2_1(X176) != esk3_1(X176)
| ~ ccardinality_N(X176) )
& ( ~ rinvQ_1_to_M(X176,X180)
| ~ rinvQ_1_to_M(X176,X181)
| ~ rinvQ_1_to_M(X176,X182)
| ~ rinvQ_1_to_M(X176,X183)
| X180 = X181
| X180 = X182
| X180 = X183
| X181 = X182
| X181 = X183
| X182 = X183
| ~ ccardinality_N(X176) )
& ( rinvQ_1_to_M(X184,esk4_1(X184))
| ~ rinvQ_1_to_M(X184,X185)
| ~ rinvQ_1_to_M(X184,X186)
| ~ rinvQ_1_to_M(X184,X187)
| X185 = X186
| X185 = X187
| X186 = X187
| ccardinality_N(X184) )
& ( rinvQ_1_to_M(X184,esk5_1(X184))
| ~ rinvQ_1_to_M(X184,X185)
| ~ rinvQ_1_to_M(X184,X186)
| ~ rinvQ_1_to_M(X184,X187)
| X185 = X186
| X185 = X187
| X186 = X187
| ccardinality_N(X184) )
& ( rinvQ_1_to_M(X184,esk6_1(X184))
| ~ rinvQ_1_to_M(X184,X185)
| ~ rinvQ_1_to_M(X184,X186)
| ~ rinvQ_1_to_M(X184,X187)
| X185 = X186
| X185 = X187
| X186 = X187
| ccardinality_N(X184) )
& ( rinvQ_1_to_M(X184,esk7_1(X184))
| ~ rinvQ_1_to_M(X184,X185)
| ~ rinvQ_1_to_M(X184,X186)
| ~ rinvQ_1_to_M(X184,X187)
| X185 = X186
| X185 = X187
| X186 = X187
| ccardinality_N(X184) )
& ( esk4_1(X184) != esk5_1(X184)
| ~ rinvQ_1_to_M(X184,X185)
| ~ rinvQ_1_to_M(X184,X186)
| ~ rinvQ_1_to_M(X184,X187)
| X185 = X186
| X185 = X187
| X186 = X187
| ccardinality_N(X184) )
& ( esk4_1(X184) != esk6_1(X184)
| ~ rinvQ_1_to_M(X184,X185)
| ~ rinvQ_1_to_M(X184,X186)
| ~ rinvQ_1_to_M(X184,X187)
| X185 = X186
| X185 = X187
| X186 = X187
| ccardinality_N(X184) )
& ( esk4_1(X184) != esk7_1(X184)
| ~ rinvQ_1_to_M(X184,X185)
| ~ rinvQ_1_to_M(X184,X186)
| ~ rinvQ_1_to_M(X184,X187)
| X185 = X186
| X185 = X187
| X186 = X187
| ccardinality_N(X184) )
& ( esk5_1(X184) != esk6_1(X184)
| ~ rinvQ_1_to_M(X184,X185)
| ~ rinvQ_1_to_M(X184,X186)
| ~ rinvQ_1_to_M(X184,X187)
| X185 = X186
| X185 = X187
| X186 = X187
| ccardinality_N(X184) )
& ( esk5_1(X184) != esk7_1(X184)
| ~ rinvQ_1_to_M(X184,X185)
| ~ rinvQ_1_to_M(X184,X186)
| ~ rinvQ_1_to_M(X184,X187)
| X185 = X186
| X185 = X187
| X186 = X187
| ccardinality_N(X184) )
& ( esk6_1(X184) != esk7_1(X184)
| ~ rinvQ_1_to_M(X184,X185)
| ~ rinvQ_1_to_M(X184,X186)
| ~ rinvQ_1_to_M(X184,X187)
| X185 = X186
| X185 = X187
| X186 = X187
| ccardinality_N(X184) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])])])]) ).
cnf(c_0_36,plain,
( ccardinality_N(X2)
| ~ rq_M_to_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_37,plain,
( rq_M_to_1(X2,X1)
| ~ rinvQ_1_to_M(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]),
[final] ).
cnf(c_0_38,plain,
( esk15_1(X1) = esk13_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk15_1(X1) = esk14_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X4 = esk13_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X4 = esk15_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X4 = esk14_1(X1)
| X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_26]),
[final] ).
cnf(c_0_39,plain,
( rinvR_N_times_M_to_1(X1,esk12_1(X1))
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
fof(c_0_40,plain,
! [X200,X202,X203] :
( ( rr_N_times_M_to_1(X200,esk10_1(X200))
| ~ ccardinality_N_times_M(X200) )
& ( cinfinite(esk10_1(X200))
| ~ ccardinality_N_times_M(X200) )
& ( ~ rr_N_times_M_to_1(X202,X203)
| ~ cinfinite(X203)
| ccardinality_N_times_M(X202) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])])])]) ).
cnf(c_0_41,plain,
( X2 = X3
| X2 = X4
| X2 = X5
| X3 = X4
| X3 = X5
| X4 = X5
| ~ rinvQ_1_to_M(X1,X2)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X5)
| ~ ccardinality_N(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( ccardinality_N(X1)
| ~ rinvQ_1_to_M(X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]),
[final] ).
fof(c_0_43,plain,
! [X244,X245] :
( ~ rp_N_to_1(X244,X245)
| cinfinite(X245) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).
fof(c_0_44,plain,
! [X246,X247] :
( ( ~ rp_N_to_1(X246,X247)
| rinvP_1_to_N(X247,X246) )
& ( ~ rinvP_1_to_N(X247,X246)
| rp_N_to_1(X246,X247) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])]) ).
cnf(c_0_45,plain,
( esk14_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk12_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk14_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk15_1(X1) = esk13_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X3 = X2
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_26]),
[final] ).
cnf(c_0_46,plain,
( rinvR_N_times_M_to_1(X1,esk11_1(X1))
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_47,plain,
( rinvR_N_times_M_to_1(X2,X1)
| ~ rr_N_times_M_to_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_48,plain,
( rr_N_times_M_to_1(X1,esk10_1(X1))
| ~ ccardinality_N_times_M(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]),
[final] ).
cnf(c_0_49,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| X4 = X2
| X4 = X1
| X4 = X3
| ~ rinvQ_1_to_M(X5,X2)
| ~ rinvQ_1_to_M(X5,X1)
| ~ rinvQ_1_to_M(X5,X3)
| ~ rinvQ_1_to_M(X5,X4) ),
inference(csr,[status(thm)],[c_0_41,c_0_42]),
[final] ).
cnf(c_0_50,plain,
( rinvQ_1_to_M(X1,esk3_1(X1))
| ~ ccardinality_N(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]),
[final] ).
fof(c_0_51,plain,
! [X227,X230,X231,X232,X233,X234,X235] :
( ( rinvP_1_to_N(X227,esk22_1(X227))
| ~ cinfinite(X227) )
& ( rinvP_1_to_N(X227,esk23_1(X227))
| ~ cinfinite(X227) )
& ( esk22_1(X227) != esk23_1(X227)
| ~ cinfinite(X227) )
& ( ~ rinvP_1_to_N(X227,X230)
| ~ rinvP_1_to_N(X227,X231)
| ~ rinvP_1_to_N(X227,X232)
| X230 = X231
| X230 = X232
| X231 = X232
| ~ cinfinite(X227) )
& ( rinvP_1_to_N(X233,esk24_1(X233))
| ~ rinvP_1_to_N(X233,X234)
| ~ rinvP_1_to_N(X233,X235)
| X234 = X235
| cinfinite(X233) )
& ( rinvP_1_to_N(X233,esk25_1(X233))
| ~ rinvP_1_to_N(X233,X234)
| ~ rinvP_1_to_N(X233,X235)
| X234 = X235
| cinfinite(X233) )
& ( rinvP_1_to_N(X233,esk26_1(X233))
| ~ rinvP_1_to_N(X233,X234)
| ~ rinvP_1_to_N(X233,X235)
| X234 = X235
| cinfinite(X233) )
& ( esk24_1(X233) != esk25_1(X233)
| ~ rinvP_1_to_N(X233,X234)
| ~ rinvP_1_to_N(X233,X235)
| X234 = X235
| cinfinite(X233) )
& ( esk24_1(X233) != esk26_1(X233)
| ~ rinvP_1_to_N(X233,X234)
| ~ rinvP_1_to_N(X233,X235)
| X234 = X235
| cinfinite(X233) )
& ( esk25_1(X233) != esk26_1(X233)
| ~ rinvP_1_to_N(X233,X234)
| ~ rinvP_1_to_N(X233,X235)
| X234 = X235
| cinfinite(X233) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])])])])]) ).
cnf(c_0_52,plain,
( cinfinite(X2)
| ~ rp_N_to_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]),
[final] ).
cnf(c_0_53,plain,
( rp_N_to_1(X2,X1)
| ~ rinvP_1_to_N(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]),
[final] ).
fof(c_0_54,plain,
! [X257,X258,X259] :
( ~ rr_N_times_M_to_1(X257,X258)
| ~ rr_N_times_M_to_1(X257,X259)
| X258 = X259 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_16])]) ).
fof(c_0_55,plain,
! [X260,X261] :
( ~ rr_N_times_M_to_1(X260,X261)
| ccardinality_N_times_M(X260) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_17])]) ).
fof(c_0_56,plain,
! [X248,X249,X250] :
( ~ rq_M_to_1(X248,X249)
| ~ rq_M_to_1(X248,X250)
| X249 = X250 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_12])]) ).
fof(c_0_57,plain,
! [X196,X198,X199] :
( ( rq_M_to_1(X196,esk9_1(X196))
| ~ ccardinality_N_times_M(X196) )
& ( ccardinality_N(esk9_1(X196))
| ~ ccardinality_N_times_M(X196) )
& ( ~ rq_M_to_1(X198,X199)
| ~ ccardinality_N(X199)
| ccardinality_N_times_M(X198) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])])])])]) ).
fof(c_0_58,plain,
! [X251,X252] :
( ~ rq_M_to_1(X251,X252)
| ccardinality_N_times_M(X251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_13])]) ).
fof(c_0_59,plain,
! [X239,X240,X241] :
( ~ rp_N_to_1(X239,X240)
| ~ rp_N_to_1(X239,X241)
| X240 = X241 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).
fof(c_0_60,plain,
! [X192,X194,X195] :
( ( rp_N_to_1(X192,esk8_1(X192))
| ~ ccardinality_N(X192) )
& ( cinfinite(esk8_1(X192))
| ~ ccardinality_N(X192) )
& ( ~ rp_N_to_1(X194,X195)
| ~ cinfinite(X195)
| ccardinality_N(X194) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])])])]) ).
fof(c_0_61,plain,
! [X242,X243] :
( ~ rp_N_to_1(X242,X243)
| ccardinality_N(X242) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
cnf(c_0_62,plain,
( esk13_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk11_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk13_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk15_1(X1) = esk14_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk12_1(X1)
| esk14_1(X1) = esk12_1(X1)
| X2 = esk11_1(X1)
| X2 = esk13_1(X1)
| X2 = esk15_1(X1)
| X2 = esk14_1(X1)
| X2 = esk12_1(X1)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_63,plain,
( rinvR_N_times_M_to_1(esk10_1(X1),X1)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]),
[final] ).
cnf(c_0_64,plain,
( X1 = esk3_1(X2)
| X3 = esk3_1(X2)
| X4 = esk3_1(X2)
| X1 = X3
| X1 = X4
| X3 = X4
| ~ rinvQ_1_to_M(X2,X4)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_42]),
[final] ).
cnf(c_0_65,plain,
( rinvQ_1_to_M(X1,esk2_1(X1))
| ~ ccardinality_N(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]),
[final] ).
cnf(c_0_66,plain,
( X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvP_1_to_N(X1,X2)
| ~ rinvP_1_to_N(X1,X3)
| ~ rinvP_1_to_N(X1,X4)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_67,plain,
( cinfinite(X1)
| ~ rinvP_1_to_N(X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]),
[final] ).
cnf(c_0_68,plain,
( X2 = X3
| ~ rr_N_times_M_to_1(X1,X2)
| ~ rr_N_times_M_to_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]),
[final] ).
cnf(c_0_69,plain,
( ccardinality_N_times_M(X1)
| ~ rr_N_times_M_to_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]),
[final] ).
cnf(c_0_70,plain,
( X2 = X3
| ~ rq_M_to_1(X1,X2)
| ~ rq_M_to_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]),
[final] ).
cnf(c_0_71,plain,
( rq_M_to_1(X1,esk9_1(X1))
| ~ ccardinality_N_times_M(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]),
[final] ).
cnf(c_0_72,plain,
( ccardinality_N_times_M(X1)
| ~ rq_M_to_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]),
[final] ).
cnf(c_0_73,plain,
( X2 = X3
| ~ rp_N_to_1(X1,X2)
| ~ rp_N_to_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]),
[final] ).
cnf(c_0_74,plain,
( rp_N_to_1(X1,esk8_1(X1))
| ~ ccardinality_N(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]),
[final] ).
cnf(c_0_75,plain,
( ccardinality_N(X1)
| ~ rp_N_to_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]),
[final] ).
cnf(c_0_76,plain,
( X1 = esk14_1(X2)
| X3 = esk14_1(X2)
| X4 = esk14_1(X2)
| X5 = esk14_1(X2)
| X6 = esk14_1(X2)
| X1 = X3
| X1 = X4
| X1 = X5
| X1 = X6
| X3 = X4
| X3 = X5
| X3 = X6
| X4 = X5
| X4 = X6
| X5 = X6
| ~ rinvR_N_times_M_to_1(X2,X6)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_30]),c_0_26]),
[final] ).
cnf(c_0_77,plain,
( esk14_1(X1) != esk15_1(X1)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_78,plain,
( esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = X1
| esk15_1(esk10_1(X1)) = X1
| esk13_1(esk10_1(X1)) = X1
| esk11_1(esk10_1(X1)) = X1
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_79,plain,
( cinfinite(esk10_1(X1))
| ~ ccardinality_N_times_M(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]),
[final] ).
cnf(c_0_80,plain,
( esk3_1(X1) = esk2_1(X1)
| X2 = esk2_1(X1)
| X3 = esk2_1(X1)
| X2 = esk3_1(X1)
| X3 = esk3_1(X1)
| X3 = X2
| ~ rinvQ_1_to_M(X1,X2)
| ~ rinvQ_1_to_M(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_42]),
[final] ).
cnf(c_0_81,plain,
( rinvQ_1_to_M(X1,esk1_1(X1))
| ~ ccardinality_N(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]),
[final] ).
cnf(c_0_82,plain,
( rinvQ_1_to_M(X2,X1)
| ~ rq_M_to_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]),
[final] ).
cnf(c_0_83,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| ~ rinvP_1_to_N(X4,X2)
| ~ rinvP_1_to_N(X4,X1)
| ~ rinvP_1_to_N(X4,X3) ),
inference(csr,[status(thm)],[c_0_66,c_0_67]),
[final] ).
cnf(c_0_84,plain,
( rinvP_1_to_N(X1,esk23_1(X1))
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
cnf(c_0_85,plain,
( X1 = esk10_1(X2)
| ~ rr_N_times_M_to_1(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_48]),c_0_69]),
[final] ).
cnf(c_0_86,plain,
( X1 = esk9_1(X2)
| ~ rq_M_to_1(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_87,plain,
( X1 = esk8_1(X2)
| ~ rp_N_to_1(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),
[final] ).
cnf(c_0_88,plain,
( esk14_1(X1) = esk13_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X4 = esk13_1(X1)
| X5 = esk13_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X4 = esk14_1(X1)
| X5 = esk14_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_34]),c_0_26]),
[final] ).
cnf(c_0_89,plain,
( esk15_1(X1) = esk13_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X4 = esk13_1(X1)
| X5 = esk13_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X4 = esk15_1(X1)
| X5 = esk15_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_34]),c_0_26]),
[final] ).
cnf(c_0_90,plain,
( X1 = esk13_1(X2)
| X3 = esk13_1(X2)
| X4 = esk13_1(X2)
| X5 = esk13_1(X2)
| X6 = esk13_1(X2)
| X1 = X3
| X1 = X4
| X1 = X5
| X1 = X6
| X3 = X4
| X3 = X5
| X3 = X6
| X4 = X5
| X4 = X6
| X5 = X6
| ~ rinvR_N_times_M_to_1(X2,X6)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_34]),c_0_26]),
[final] ).
cnf(c_0_91,plain,
( esk13_1(X1) != esk15_1(X1)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_92,plain,
( esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| esk13_1(esk10_1(X1)) = X1
| esk15_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = X1
| esk12_1(esk10_1(X1)) = X1
| ~ ccardinality_N_times_M(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_93,plain,
( esk3_1(X1) = esk1_1(X1)
| esk2_1(X1) = esk1_1(X1)
| esk3_1(X1) = esk2_1(X1)
| X2 = esk1_1(X1)
| X2 = esk3_1(X1)
| X2 = esk2_1(X1)
| ~ rinvQ_1_to_M(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_42]),
[final] ).
cnf(c_0_94,plain,
( rinvQ_1_to_M(esk9_1(X1),X1)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_71]),
[final] ).
cnf(c_0_95,plain,
( X1 = esk23_1(X2)
| X3 = esk23_1(X2)
| X1 = X3
| ~ rinvP_1_to_N(X2,X3)
| ~ rinvP_1_to_N(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_67]),
[final] ).
cnf(c_0_96,plain,
( rinvP_1_to_N(X1,esk22_1(X1))
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
cnf(c_0_97,plain,
( rinvP_1_to_N(X2,X1)
| ~ rp_N_to_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]),
[final] ).
cnf(c_0_98,plain,
( X1 = esk10_1(X2)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_24]),
[final] ).
cnf(c_0_99,plain,
( ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(X2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_24]),
[final] ).
cnf(c_0_100,plain,
( X1 = esk9_1(X2)
| ~ rinvQ_1_to_M(X1,X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_37]),
[final] ).
cnf(c_0_101,plain,
( ccardinality_N_times_M(X1)
| ~ rinvQ_1_to_M(X2,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_37]),
[final] ).
cnf(c_0_102,plain,
( X1 = esk8_1(X2)
| ~ rinvP_1_to_N(X1,X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_53]),
[final] ).
cnf(c_0_103,plain,
( ccardinality_N(X1)
| ~ rinvP_1_to_N(X2,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_53]),
[final] ).
cnf(c_0_104,plain,
( esk14_1(X1) = esk12_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk14_1(X1) = esk13_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X4 = esk12_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X4 = esk14_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X4 = esk13_1(X1)
| X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_39]),c_0_26]),
[final] ).
cnf(c_0_105,plain,
( esk15_1(X1) = esk12_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk13_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X4 = esk12_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X4 = esk15_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X4 = esk13_1(X1)
| X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_39]),c_0_26]),
[final] ).
cnf(c_0_106,plain,
( esk13_1(X1) = esk12_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X4 = esk12_1(X1)
| X5 = esk12_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X4 = esk13_1(X1)
| X5 = esk13_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_39]),c_0_26]),
[final] ).
cnf(c_0_107,plain,
( esk14_1(X1) = esk12_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X4 = esk12_1(X1)
| X5 = esk12_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X4 = esk14_1(X1)
| X5 = esk14_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_39]),c_0_26]),
[final] ).
cnf(c_0_108,plain,
( esk15_1(X1) = esk12_1(X1)
| esk14_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk14_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X4 = esk12_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X4 = esk15_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X4 = esk14_1(X1)
| X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_39]),c_0_26]),
[final] ).
cnf(c_0_109,plain,
( esk15_1(X1) = esk12_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X4 = esk12_1(X1)
| X5 = esk12_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X4 = esk15_1(X1)
| X5 = esk15_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_39]),c_0_26]),
[final] ).
cnf(c_0_110,plain,
( esk12_1(X1) != esk15_1(X1)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_111,plain,
( esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = X1
| esk15_1(esk10_1(X1)) = X1
| esk13_1(esk10_1(X1)) = X1
| esk11_1(esk10_1(X1)) = X1
| ~ ccardinality_N_times_M(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_79]) ).
cnf(c_0_112,plain,
( X1 = esk12_1(X2)
| X3 = esk12_1(X2)
| X4 = esk12_1(X2)
| X5 = esk12_1(X2)
| X6 = esk12_1(X2)
| X1 = X3
| X1 = X4
| X1 = X5
| X1 = X6
| X3 = X4
| X3 = X5
| X3 = X6
| X4 = X5
| X4 = X6
| X5 = X6
| ~ rinvR_N_times_M_to_1(X2,X6)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_39]),c_0_26]),
[final] ).
cnf(c_0_113,plain,
( X1 = esk2_1(X2)
| X3 = esk2_1(X2)
| X4 = esk2_1(X2)
| X1 = X3
| X1 = X4
| X3 = X4
| ~ rinvQ_1_to_M(X2,X4)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_65]),c_0_42]),
[final] ).
cnf(c_0_114,plain,
( esk2_1(X1) != esk3_1(X1)
| ~ ccardinality_N(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]),
[final] ).
cnf(c_0_115,plain,
( esk3_1(esk9_1(X1)) = esk2_1(esk9_1(X1))
| esk2_1(esk9_1(X1)) = esk1_1(esk9_1(X1))
| esk3_1(esk9_1(X1)) = esk1_1(esk9_1(X1))
| esk2_1(esk9_1(X1)) = X1
| esk3_1(esk9_1(X1)) = X1
| esk1_1(esk9_1(X1)) = X1
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_116,plain,
( ccardinality_N(esk9_1(X1))
| ~ ccardinality_N_times_M(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]),
[final] ).
cnf(c_0_117,plain,
( esk23_1(X1) = esk22_1(X1)
| X2 = esk22_1(X1)
| X2 = esk23_1(X1)
| ~ rinvP_1_to_N(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_67]),
[final] ).
cnf(c_0_118,plain,
( rinvP_1_to_N(esk8_1(X1),X1)
| ~ ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_74]),
[final] ).
cnf(c_0_119,plain,
( esk10_1(esk11_1(X1)) = X1
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_46]),
[final] ).
cnf(c_0_120,plain,
( ccardinality_N_times_M(esk11_1(X1))
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_46]),
[final] ).
cnf(c_0_121,plain,
( esk10_1(esk12_1(X1)) = X1
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_39]),
[final] ).
cnf(c_0_122,plain,
( ccardinality_N_times_M(esk12_1(X1))
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_39]),
[final] ).
cnf(c_0_123,plain,
( esk10_1(esk13_1(X1)) = X1
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_34]),
[final] ).
cnf(c_0_124,plain,
( ccardinality_N_times_M(esk13_1(X1))
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_34]),
[final] ).
cnf(c_0_125,plain,
( esk10_1(esk14_1(X1)) = X1
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_30]),
[final] ).
cnf(c_0_126,plain,
( ccardinality_N_times_M(esk14_1(X1))
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_30]),
[final] ).
cnf(c_0_127,plain,
( esk10_1(esk15_1(X1)) = X1
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_28]),
[final] ).
cnf(c_0_128,plain,
( ccardinality_N_times_M(esk15_1(X1))
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_28]),
[final] ).
cnf(c_0_129,plain,
( esk9_1(esk1_1(X1)) = X1
| ~ ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_81]),
[final] ).
cnf(c_0_130,plain,
( ccardinality_N_times_M(esk1_1(X1))
| ~ ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_81]),
[final] ).
cnf(c_0_131,plain,
( esk9_1(esk2_1(X1)) = X1
| ~ ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_65]),
[final] ).
cnf(c_0_132,plain,
( ccardinality_N_times_M(esk2_1(X1))
| ~ ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_65]),
[final] ).
cnf(c_0_133,plain,
( esk9_1(esk3_1(X1)) = X1
| ~ ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_50]),
[final] ).
cnf(c_0_134,plain,
( ccardinality_N_times_M(esk3_1(X1))
| ~ ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_50]),
[final] ).
cnf(c_0_135,plain,
( esk8_1(esk22_1(X1)) = X1
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_96]),
[final] ).
cnf(c_0_136,plain,
( ccardinality_N(esk22_1(X1))
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_96]),
[final] ).
cnf(c_0_137,plain,
( esk8_1(esk23_1(X1)) = X1
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_84]),
[final] ).
cnf(c_0_138,plain,
( ccardinality_N(esk23_1(X1))
| ~ cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_84]),
[final] ).
cnf(c_0_139,plain,
( X1 = X2
| ~ rr_N_times_M_to_1(X3,X1)
| ~ rinvR_N_times_M_to_1(X2,X3) ),
inference(spm,[status(thm)],[c_0_68,c_0_24]),
[final] ).
cnf(c_0_140,plain,
( X1 = X2
| ~ rq_M_to_1(X3,X1)
| ~ rinvQ_1_to_M(X2,X3) ),
inference(spm,[status(thm)],[c_0_70,c_0_37]),
[final] ).
cnf(c_0_141,plain,
( X1 = X2
| ~ rp_N_to_1(X3,X1)
| ~ rinvP_1_to_N(X2,X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_53]),
[final] ).
fof(c_0_142,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_143,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
cnf(c_0_144,plain,
( esk13_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk11_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk14_1(X1) = esk12_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X3 = X2
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_145,plain,
( esk13_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk13_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk12_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X3 = X2
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_146,plain,
( esk13_1(X1) = esk11_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk13_1(X1) = esk12_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X4 = esk11_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X4 = esk13_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X4 = esk12_1(X1)
| X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_147,plain,
( esk14_1(X1) = esk11_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk12_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X4 = esk11_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X4 = esk14_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X4 = esk12_1(X1)
| X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_148,plain,
( esk14_1(X1) = esk11_1(X1)
| esk13_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk13_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X4 = esk11_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X4 = esk14_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X4 = esk13_1(X1)
| X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_149,plain,
( esk14_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk14_1(X1)
| esk14_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk12_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X3 = X2
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_150,plain,
( esk15_1(X1) = esk11_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk12_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X4 = esk11_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X4 = esk15_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X4 = esk12_1(X1)
| X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_151,plain,
( esk14_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1)
| esk13_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk14_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk15_1(X1) = esk13_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X3 = X2
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_152,plain,
( esk11_1(X1) != esk15_1(X1)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_153,plain,
( esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| esk13_1(esk10_1(X1)) = X1
| esk15_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = X1
| esk12_1(esk10_1(X1)) = X1
| ~ ccardinality_N_times_M(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_79]) ).
cnf(c_0_154,plain,
( esk15_1(X1) = esk11_1(X1)
| esk13_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk13_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X4 = esk11_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X4 = esk15_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X4 = esk13_1(X1)
| X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_155,plain,
( esk15_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk14_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X4 = esk11_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X4 = esk15_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X4 = esk14_1(X1)
| X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_156,plain,
( esk12_1(X1) = esk11_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X4 = esk11_1(X1)
| X5 = esk11_1(X1)
| X2 = esk12_1(X1)
| X3 = esk12_1(X1)
| X4 = esk12_1(X1)
| X5 = esk12_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_157,plain,
( esk13_1(X1) = esk11_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X4 = esk11_1(X1)
| X5 = esk11_1(X1)
| X2 = esk13_1(X1)
| X3 = esk13_1(X1)
| X4 = esk13_1(X1)
| X5 = esk13_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_158,plain,
( esk14_1(X1) = esk11_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X4 = esk11_1(X1)
| X5 = esk11_1(X1)
| X2 = esk14_1(X1)
| X3 = esk14_1(X1)
| X4 = esk14_1(X1)
| X5 = esk14_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_159,plain,
( esk15_1(X1) = esk11_1(X1)
| X2 = esk11_1(X1)
| X3 = esk11_1(X1)
| X4 = esk11_1(X1)
| X5 = esk11_1(X1)
| X2 = esk15_1(X1)
| X3 = esk15_1(X1)
| X4 = esk15_1(X1)
| X5 = esk15_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_160,plain,
( X1 = X2
| X1 = X3
| X1 = X4
| X1 = X5
| X1 = X6
| X2 = X3
| X2 = X4
| X2 = X5
| X2 = X6
| X3 = X4
| X3 = X5
| X3 = X6
| X4 = X5
| X4 = X6
| X5 = X6
| ~ rinvR_N_times_M_to_1(esk10_1(X6),X5)
| ~ rinvR_N_times_M_to_1(esk10_1(X6),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X6),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X6),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X6),X1)
| ~ ccardinality_N_times_M(X6) ),
inference(spm,[status(thm)],[c_0_27,c_0_63]),
[final] ).
cnf(c_0_161,plain,
( esk2_1(X1) = esk1_1(X1)
| X2 = esk1_1(X1)
| X3 = esk1_1(X1)
| X2 = esk2_1(X1)
| X3 = esk2_1(X1)
| X3 = X2
| ~ rinvQ_1_to_M(X1,X2)
| ~ rinvQ_1_to_M(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_81]),c_0_42]),
[final] ).
cnf(c_0_162,plain,
( esk3_1(X1) = esk1_1(X1)
| X2 = esk1_1(X1)
| X3 = esk1_1(X1)
| X2 = esk3_1(X1)
| X3 = esk3_1(X1)
| X3 = X2
| ~ rinvQ_1_to_M(X1,X2)
| ~ rinvQ_1_to_M(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_81]),c_0_42]),
[final] ).
cnf(c_0_163,plain,
( X1 = esk1_1(X2)
| X3 = esk1_1(X2)
| X4 = esk1_1(X2)
| X1 = X3
| X1 = X4
| X3 = X4
| ~ rinvQ_1_to_M(X2,X4)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_81]),c_0_42]),
[final] ).
cnf(c_0_164,plain,
( esk1_1(X1) != esk3_1(X1)
| ~ ccardinality_N(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]),
[final] ).
cnf(c_0_165,plain,
( esk3_1(esk9_1(X1)) = esk1_1(esk9_1(X1))
| esk2_1(esk9_1(X1)) = esk1_1(esk9_1(X1))
| esk1_1(esk9_1(X1)) = X1
| esk3_1(esk9_1(X1)) = X1
| esk2_1(esk9_1(X1)) = X1
| ~ ccardinality_N_times_M(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_166,plain,
( X1 = esk22_1(X2)
| X3 = esk22_1(X2)
| X1 = X3
| ~ rinvP_1_to_N(X2,X3)
| ~ rinvP_1_to_N(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_96]),c_0_67]),
[final] ).
cnf(c_0_167,plain,
( esk22_1(X1) != esk23_1(X1)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
cnf(c_0_168,plain,
( esk23_1(esk8_1(X1)) = esk22_1(esk8_1(X1))
| esk23_1(esk8_1(X1)) = X1
| esk22_1(esk8_1(X1)) = X1
| ~ ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_169,plain,
( cinfinite(esk8_1(X1))
| ~ ccardinality_N(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]),
[final] ).
cnf(c_0_170,plain,
( rr_N_times_M_to_1(esk11_1(X1),X1)
| ~ cinfinite(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_119]),c_0_120]),
[final] ).
cnf(c_0_171,plain,
( rr_N_times_M_to_1(esk12_1(X1),X1)
| ~ cinfinite(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_121]),c_0_122]),
[final] ).
cnf(c_0_172,plain,
( rr_N_times_M_to_1(esk13_1(X1),X1)
| ~ cinfinite(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_123]),c_0_124]),
[final] ).
cnf(c_0_173,plain,
( rr_N_times_M_to_1(esk14_1(X1),X1)
| ~ cinfinite(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_125]),c_0_126]),
[final] ).
cnf(c_0_174,plain,
( rr_N_times_M_to_1(esk15_1(X1),X1)
| ~ cinfinite(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_127]),c_0_128]),
[final] ).
cnf(c_0_175,plain,
( rq_M_to_1(esk1_1(X1),X1)
| ~ ccardinality_N(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_129]),c_0_130]),
[final] ).
cnf(c_0_176,plain,
( rq_M_to_1(esk2_1(X1),X1)
| ~ ccardinality_N(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_131]),c_0_132]),
[final] ).
cnf(c_0_177,plain,
( rq_M_to_1(esk3_1(X1),X1)
| ~ ccardinality_N(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_133]),c_0_134]),
[final] ).
cnf(c_0_178,plain,
( rp_N_to_1(esk22_1(X1),X1)
| ~ cinfinite(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_135]),c_0_136]),
[final] ).
cnf(c_0_179,plain,
( rp_N_to_1(esk23_1(X1),X1)
| ~ cinfinite(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_137]),c_0_138]),
[final] ).
cnf(c_0_180,plain,
( X1 = X2
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X1,X3) ),
inference(spm,[status(thm)],[c_0_139,c_0_24]),
[final] ).
cnf(c_0_181,plain,
( X1 = X2
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X1,X3) ),
inference(spm,[status(thm)],[c_0_140,c_0_37]),
[final] ).
cnf(c_0_182,plain,
( X1 = X2
| ~ rinvP_1_to_N(X2,X3)
| ~ rinvP_1_to_N(X1,X3) ),
inference(spm,[status(thm)],[c_0_141,c_0_53]),
[final] ).
fof(c_0_183,plain,
! [X175] :
( ( ~ xsd_string(X175)
| ~ xsd_integer(X175) )
& ( xsd_integer(X175)
| xsd_string(X175) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_142])]) ).
fof(c_0_184,plain,
! [X174] :
( cowlThing(X174)
& ~ cowlNothing(X174) ),
inference(variable_rename,[status(thm)],[c_0_143]) ).
cnf(c_0_185,plain,
( esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_63]),
[final] ).
cnf(c_0_186,plain,
( esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_63]),
[final] ).
cnf(c_0_187,plain,
( esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_63]),
[final] ).
cnf(c_0_188,plain,
( esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_63]),
[final] ).
cnf(c_0_189,plain,
( esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_63]),
[final] ).
cnf(c_0_190,plain,
( esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_63]),
[final] ).
cnf(c_0_191,plain,
( esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_63]),
[final] ).
cnf(c_0_192,plain,
( esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_63]),
[final] ).
cnf(c_0_193,plain,
( esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_63]),
[final] ).
cnf(c_0_194,plain,
( esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = X1
| esk15_1(esk10_1(X1)) = X1
| esk13_1(esk10_1(X1)) = X1
| esk11_1(esk10_1(X1)) = X1
| ~ ccardinality_N_times_M(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_79]),
[final] ).
cnf(c_0_195,plain,
( esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_63]),
[final] ).
cnf(c_0_196,plain,
( esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_63]),
[final] ).
cnf(c_0_197,plain,
( esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_63]),
[final] ).
cnf(c_0_198,plain,
( esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_63]),
[final] ).
cnf(c_0_199,plain,
( esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_63]),
[final] ).
cnf(c_0_200,plain,
( esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_63]),
[final] ).
cnf(c_0_201,plain,
( esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X4 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X4 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = X3
| X2 = X4
| X2 = X1
| X3 = X4
| X3 = X1
| X4 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_63]),
[final] ).
cnf(c_0_202,plain,
( esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| X4 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X4 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = X3
| X2 = X4
| X2 = X1
| X3 = X4
| X3 = X1
| X4 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_63]),
[final] ).
cnf(c_0_203,plain,
( esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| X4 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X4 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = X3
| X2 = X4
| X2 = X1
| X3 = X4
| X3 = X1
| X4 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_63]),
[final] ).
cnf(c_0_204,plain,
( esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| X4 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X4 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = X3
| X2 = X4
| X2 = X1
| X3 = X4
| X3 = X1
| X4 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_63]),
[final] ).
cnf(c_0_205,plain,
( esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| X4 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X4 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = X3
| X2 = X4
| X2 = X1
| X3 = X4
| X3 = X1
| X4 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_63]),
[final] ).
cnf(c_0_206,plain,
( esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| X4 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| X4 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = X3
| X2 = X4
| X2 = X1
| X3 = X4
| X3 = X1
| X4 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_63]),
[final] ).
cnf(c_0_207,plain,
( esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| X4 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X4 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = X3
| X2 = X4
| X2 = X1
| X3 = X4
| X3 = X1
| X4 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_63]),
[final] ).
cnf(c_0_208,plain,
( esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| X4 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X4 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = X3
| X2 = X4
| X2 = X1
| X3 = X4
| X3 = X1
| X4 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_63]),
[final] ).
cnf(c_0_209,plain,
( esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| X4 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| X4 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = X3
| X2 = X4
| X2 = X1
| X3 = X4
| X3 = X1
| X4 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_63]),
[final] ).
cnf(c_0_210,plain,
( esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| X4 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| X4 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = X3
| X2 = X4
| X2 = X1
| X3 = X4
| X3 = X1
| X4 = X1
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_63]),
[final] ).
cnf(c_0_211,plain,
( esk11_1(esk10_1(X1)) = X1
| X2 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X4 = esk11_1(esk10_1(X1))
| X5 = esk11_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| X4 = X1
| X4 = X2
| X4 = X3
| X5 = X1
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X5)
| ~ ccardinality_N_times_M(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_212,plain,
( esk12_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X4 = esk12_1(esk10_1(X1))
| X5 = esk12_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| X4 = X1
| X4 = X2
| X4 = X3
| X5 = X1
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X5)
| ~ ccardinality_N_times_M(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_39]),c_0_26]),
[final] ).
cnf(c_0_213,plain,
( esk13_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| X4 = esk13_1(esk10_1(X1))
| X5 = esk13_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| X4 = X1
| X4 = X2
| X4 = X3
| X5 = X1
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X5)
| ~ ccardinality_N_times_M(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_34]),c_0_26]),
[final] ).
cnf(c_0_214,plain,
( esk14_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| X4 = esk14_1(esk10_1(X1))
| X5 = esk14_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| X4 = X1
| X4 = X2
| X4 = X3
| X5 = X1
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X5)
| ~ ccardinality_N_times_M(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_30]),c_0_26]),
[final] ).
cnf(c_0_215,plain,
( esk15_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| X4 = esk15_1(esk10_1(X1))
| X5 = esk15_1(esk10_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| X4 = X1
| X4 = X2
| X4 = X3
| X5 = X1
| X5 = X2
| X5 = X3
| X5 = X4
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X5)
| ~ ccardinality_N_times_M(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_28]),c_0_26]),
[final] ).
cnf(c_0_216,plain,
( esk2_1(esk9_1(X1)) = esk1_1(esk9_1(X1))
| X2 = esk2_1(esk9_1(X1))
| esk2_1(esk9_1(X1)) = X1
| X2 = esk1_1(esk9_1(X1))
| esk1_1(esk9_1(X1)) = X1
| X2 = X1
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_161,c_0_94]),
[final] ).
cnf(c_0_217,plain,
( esk3_1(esk9_1(X1)) = esk1_1(esk9_1(X1))
| X2 = esk3_1(esk9_1(X1))
| esk3_1(esk9_1(X1)) = X1
| X2 = esk1_1(esk9_1(X1))
| esk1_1(esk9_1(X1)) = X1
| X2 = X1
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_94]),
[final] ).
cnf(c_0_218,plain,
( X1 = esk11_1(X2)
| X3 = esk11_1(X2)
| X4 = esk11_1(X2)
| X5 = esk11_1(X2)
| X6 = esk11_1(X2)
| X1 = X3
| X1 = X4
| X1 = X5
| X1 = X6
| X3 = X4
| X3 = X5
| X3 = X6
| X4 = X5
| X4 = X6
| X5 = X6
| ~ rinvR_N_times_M_to_1(X2,X6)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_46]),c_0_26]),
[final] ).
cnf(c_0_219,plain,
( esk3_1(esk9_1(X1)) = esk2_1(esk9_1(X1))
| X2 = esk3_1(esk9_1(X1))
| esk3_1(esk9_1(X1)) = X1
| X2 = esk2_1(esk9_1(X1))
| esk2_1(esk9_1(X1)) = X1
| X2 = X1
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_94]),
[final] ).
cnf(c_0_220,plain,
( esk1_1(esk9_1(X1)) = X1
| X2 = esk1_1(esk9_1(X1))
| X3 = esk1_1(esk9_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| ~ rinvQ_1_to_M(esk9_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_94]),
[final] ).
cnf(c_0_221,plain,
( esk2_1(esk9_1(X1)) = X1
| X2 = esk2_1(esk9_1(X1))
| X3 = esk2_1(esk9_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| ~ rinvQ_1_to_M(esk9_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_94]),
[final] ).
cnf(c_0_222,plain,
( esk3_1(esk9_1(X1)) = X1
| X2 = esk3_1(esk9_1(X1))
| X3 = esk3_1(esk9_1(X1))
| X2 = X1
| X3 = X1
| X3 = X2
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| ~ rinvQ_1_to_M(esk9_1(X1),X3)
| ~ ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_94]),
[final] ).
cnf(c_0_223,plain,
( esk2_1(esk9_1(X1)) = esk1_1(esk9_1(X1))
| esk2_1(esk9_1(X1)) = X1
| esk3_1(esk9_1(X1)) = X1
| esk1_1(esk9_1(X1)) = X1
| ~ ccardinality_N_times_M(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_116]),
[final] ).
cnf(c_0_224,plain,
( esk22_1(esk8_1(X1)) = X1
| X2 = esk22_1(esk8_1(X1))
| X2 = X1
| ~ rinvP_1_to_N(esk8_1(X1),X2)
| ~ ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_118]),
[final] ).
cnf(c_0_225,plain,
( esk23_1(esk8_1(X1)) = X1
| X2 = esk23_1(esk8_1(X1))
| X2 = X1
| ~ rinvP_1_to_N(esk8_1(X1),X2)
| ~ ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_118]),
[final] ).
cnf(c_0_226,plain,
( esk22_1(esk8_1(X1)) = X1
| esk23_1(esk8_1(X1)) = X1
| ~ ccardinality_N(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]),
[final] ).
cnf(c_0_227,plain,
( X1 = X2
| ~ rr_N_times_M_to_1(esk11_1(X2),X1)
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_170]),
[final] ).
cnf(c_0_228,plain,
( X1 = X2
| ~ rr_N_times_M_to_1(esk12_1(X2),X1)
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_171]),
[final] ).
cnf(c_0_229,plain,
( X1 = X2
| ~ rr_N_times_M_to_1(esk13_1(X2),X1)
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_172]),
[final] ).
cnf(c_0_230,plain,
( X1 = X2
| ~ rr_N_times_M_to_1(esk14_1(X2),X1)
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_173]),
[final] ).
cnf(c_0_231,plain,
( X1 = X2
| ~ rr_N_times_M_to_1(esk15_1(X2),X1)
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_174]),
[final] ).
cnf(c_0_232,plain,
( X1 = X2
| ~ rq_M_to_1(esk1_1(X2),X1)
| ~ ccardinality_N(X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_175]),
[final] ).
cnf(c_0_233,plain,
( X1 = X2
| ~ rq_M_to_1(esk2_1(X2),X1)
| ~ ccardinality_N(X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_176]),
[final] ).
cnf(c_0_234,plain,
( X1 = X2
| ~ rq_M_to_1(esk3_1(X2),X1)
| ~ ccardinality_N(X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_177]),
[final] ).
cnf(c_0_235,plain,
( X1 = X2
| ~ rp_N_to_1(esk22_1(X2),X1)
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_178]),
[final] ).
cnf(c_0_236,plain,
( X1 = X2
| X1 = X3
| X1 = X4
| X2 = X3
| X2 = X4
| X3 = X4
| ~ rinvQ_1_to_M(esk9_1(X4),X3)
| ~ rinvQ_1_to_M(esk9_1(X4),X2)
| ~ rinvQ_1_to_M(esk9_1(X4),X1)
| ~ ccardinality_N_times_M(X4) ),
inference(spm,[status(thm)],[c_0_49,c_0_94]),
[final] ).
cnf(c_0_237,plain,
( X1 = X2
| ~ rp_N_to_1(esk23_1(X2),X1)
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_179]),
[final] ).
cnf(c_0_238,plain,
( X1 = X2
| ~ rinvR_N_times_M_to_1(X1,esk11_1(X2))
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_180,c_0_46]),
[final] ).
cnf(c_0_239,plain,
( X1 = X2
| ~ rinvR_N_times_M_to_1(X1,esk12_1(X2))
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_180,c_0_39]),
[final] ).
cnf(c_0_240,plain,
( X1 = X2
| ~ rinvR_N_times_M_to_1(X1,esk13_1(X2))
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_180,c_0_34]),
[final] ).
cnf(c_0_241,plain,
( X1 = X2
| ~ rinvR_N_times_M_to_1(X1,esk14_1(X2))
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_180,c_0_30]),
[final] ).
cnf(c_0_242,plain,
( X1 = X2
| ~ rinvR_N_times_M_to_1(X1,esk15_1(X2))
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_180,c_0_28]),
[final] ).
cnf(c_0_243,plain,
( X1 = X2
| X1 = X3
| X2 = X3
| ~ rinvP_1_to_N(esk8_1(X3),X2)
| ~ rinvP_1_to_N(esk8_1(X3),X1)
| ~ ccardinality_N(X3) ),
inference(spm,[status(thm)],[c_0_83,c_0_118]),
[final] ).
cnf(c_0_244,plain,
( X1 = X2
| ~ rinvQ_1_to_M(X1,esk1_1(X2))
| ~ ccardinality_N(X2) ),
inference(spm,[status(thm)],[c_0_181,c_0_81]),
[final] ).
cnf(c_0_245,plain,
( X1 = X2
| ~ rinvQ_1_to_M(X1,esk2_1(X2))
| ~ ccardinality_N(X2) ),
inference(spm,[status(thm)],[c_0_181,c_0_65]),
[final] ).
cnf(c_0_246,plain,
( X1 = X2
| ~ rinvQ_1_to_M(X1,esk3_1(X2))
| ~ ccardinality_N(X2) ),
inference(spm,[status(thm)],[c_0_181,c_0_50]),
[final] ).
cnf(c_0_247,plain,
( X1 = X2
| ~ rinvP_1_to_N(X1,esk22_1(X2))
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_182,c_0_96]),
[final] ).
cnf(c_0_248,plain,
( X1 = X2
| ~ rinvP_1_to_N(X1,esk23_1(X2))
| ~ cinfinite(X2) ),
inference(spm,[status(thm)],[c_0_182,c_0_84]),
[final] ).
cnf(c_0_249,plain,
( esk13_1(X1) != esk14_1(X1)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_250,plain,
( esk12_1(X1) != esk14_1(X1)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_251,plain,
( esk11_1(X1) != esk14_1(X1)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_252,plain,
( esk12_1(X1) != esk13_1(X1)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_253,plain,
( esk11_1(X1) != esk13_1(X1)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_254,plain,
( esk11_1(X1) != esk12_1(X1)
| ~ cinfinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_255,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_183]),
[final] ).
cnf(c_0_256,plain,
( esk1_1(X1) != esk2_1(X1)
| ~ ccardinality_N(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]),
[final] ).
cnf(c_0_257,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_183]),
[final] ).
cnf(c_0_258,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_184]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS052+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n023.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:36:23 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.46/1.76 % Version : CSE_E---1.7
% 1.46/1.76 % Problem : theBenchmark.p
% 1.46/1.76 % SZS status Satisfiable for theBenchmark.p
% 1.46/1.76 % SZS output start Saturation
% See solution above
% 1.46/1.76 % Total time : 1.374s
%------------------------------------------------------------------------------