TSTP Solution File: SYN534+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN534+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 : Fri Sep 1 03:08:19 EDT 2023
% Result : CounterSatisfiable 1.56s 1.16s
% Output : Saturation 1.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f99)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X27] :
( ndr1_0
=> ( ~ c5_1(X27)
| c4_1(X27)
| ~ c3_1(X27) ) ) )
& ( ! [X26] :
( ndr1_0
=> ( ( ~ c3_2(X26,a490)
& c1_2(X26,a490)
& ndr1_1(X26) )
| ( ~ c2_2(X26,a489)
& c5_2(X26,a489)
& c3_2(X26,a489)
& ndr1_1(X26) )
| c2_1(X26) ) )
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ! [X25] :
( ndr1_1(a488)
=> ( c4_2(a488,X25)
| c1_2(a488,X25) ) )
& c4_1(a488)
& ndr1_0 )
| ( ~ c2_1(a487)
& ! [X24] :
( ndr1_1(a487)
=> ( ~ c5_2(a487,X24)
| c4_2(a487,X24)
| ~ c2_2(a487,X24) ) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X23] :
( ndr1_0
=> ( c3_1(X23)
| c1_1(X23) ) )
| c3_0 )
& ( c4_0
| ! [X22] :
( ndr1_0
=> c2_1(X22) )
| ! [X20] :
( ndr1_0
=> ( c1_1(X20)
| c4_1(X20)
| ! [X21] :
( ndr1_1(X20)
=> ( ~ c4_2(X20,X21)
| ~ c5_2(X20,X21)
| ~ c2_2(X20,X21) ) ) ) ) )
& ( c2_0
| ~ c5_0
| ! [X18] :
( ndr1_0
=> ( ! [X19] :
( ndr1_1(X18)
=> ( ~ c3_2(X18,X19)
| c5_2(X18,X19)
| ~ c1_2(X18,X19) ) )
| ~ c3_1(X18)
| c1_1(X18) ) ) )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X17] :
( ndr1_1(a484)
=> c4_2(a484,X17) )
& ndr1_0 ) )
& ( ~ c2_0
| c4_0
| ! [X16] :
( ndr1_0
=> ( ~ c2_1(X16)
| ( c1_2(X16,a483)
& c2_2(X16,a483)
& c3_2(X16,a483)
& ndr1_1(X16) ) ) ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X15] :
( ndr1_0
=> ( ~ c2_1(X15)
| ( ~ c4_2(X15,a482)
& c1_2(X15,a482)
& c3_2(X15,a482)
& ndr1_1(X15) )
| c1_1(X15) ) )
| ! [X12] :
( ndr1_0
=> ( ! [X14] :
( ndr1_1(X12)
=> ( ~ c4_2(X12,X14)
| c5_2(X12,X14)
| c1_2(X12,X14) ) )
| c4_1(X12)
| ! [X13] :
( ndr1_1(X12)
=> ( ~ c2_2(X12,X13)
| ~ c4_2(X12,X13)
| ~ c1_2(X12,X13) ) ) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( ! [X11] :
( ndr1_1(X9)
=> ( ~ c4_2(X9,X11)
| c2_2(X9,X11)
| ~ c5_2(X9,X11) ) )
| ! [X10] :
( ndr1_1(X9)
=> ( c4_2(X9,X10)
| ~ c3_2(X9,X10)
| ~ c5_2(X9,X10) ) )
| c2_1(X9) ) )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ~ c3_0
| ( ! [X8] :
( ndr1_1(a479)
=> ( ~ c2_2(a479,X8)
| ~ c5_2(a479,X8)
| ~ c1_2(a479,X8) ) )
& c5_1(a479)
& ndr1_0 )
| c4_0 )
& ( ( c1_1(a478)
& ! [X7] :
( ndr1_1(a478)
=> ( ~ c4_2(a478,X7)
| ~ c1_2(a478,X7)
| ~ c2_2(a478,X7) ) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X6] :
( ndr1_0
=> ( ~ c2_1(X6)
| ( c1_2(X6,a477)
& c5_2(X6,a477)
& ~ c2_2(X6,a477)
& ndr1_1(X6) )
| c5_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| ~ c4_1(X5)
| c2_1(X5) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ( ~ c5_2(X3,a476)
& ~ c1_2(X3,a476)
& ~ c3_2(X3,a476)
& ndr1_1(X3) )
| ~ c3_1(X3)
| ! [X4] :
( ndr1_1(X3)
=> ( c5_2(X3,X4)
| ~ c4_2(X3,X4)
| c3_2(X3,X4) ) ) ) )
| ~ c2_0
| c4_0 )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [X2] :
( ndr1_1(a474)
=> ( ~ c4_2(a474,X2)
| c1_2(a474,X2)
| ~ c5_2(a474,X2) ) )
& ! [X1] :
( ndr1_1(a474)
=> ( ~ c3_2(a474,X1)
| c4_2(a474,X1) ) )
& ndr1_0 )
| ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 ) )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [X0] :
( ndr1_0
=> ( c5_1(X0)
| c3_1(X0) ) )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X27] :
( ndr1_0
=> ( ~ c5_1(X27)
| c4_1(X27)
| ~ c3_1(X27) ) ) )
& ( ! [X26] :
( ndr1_0
=> ( ( ~ c3_2(X26,a490)
& c1_2(X26,a490)
& ndr1_1(X26) )
| ( ~ c2_2(X26,a489)
& c5_2(X26,a489)
& c3_2(X26,a489)
& ndr1_1(X26) )
| c2_1(X26) ) )
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ! [X25] :
( ndr1_1(a488)
=> ( c4_2(a488,X25)
| c1_2(a488,X25) ) )
& c4_1(a488)
& ndr1_0 )
| ( ~ c2_1(a487)
& ! [X24] :
( ndr1_1(a487)
=> ( ~ c5_2(a487,X24)
| c4_2(a487,X24)
| ~ c2_2(a487,X24) ) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X23] :
( ndr1_0
=> ( c3_1(X23)
| c1_1(X23) ) )
| c3_0 )
& ( c4_0
| ! [X22] :
( ndr1_0
=> c2_1(X22) )
| ! [X20] :
( ndr1_0
=> ( c1_1(X20)
| c4_1(X20)
| ! [X21] :
( ndr1_1(X20)
=> ( ~ c4_2(X20,X21)
| ~ c5_2(X20,X21)
| ~ c2_2(X20,X21) ) ) ) ) )
& ( c2_0
| ~ c5_0
| ! [X18] :
( ndr1_0
=> ( ! [X19] :
( ndr1_1(X18)
=> ( ~ c3_2(X18,X19)
| c5_2(X18,X19)
| ~ c1_2(X18,X19) ) )
| ~ c3_1(X18)
| c1_1(X18) ) ) )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X17] :
( ndr1_1(a484)
=> c4_2(a484,X17) )
& ndr1_0 ) )
& ( ~ c2_0
| c4_0
| ! [X16] :
( ndr1_0
=> ( ~ c2_1(X16)
| ( c1_2(X16,a483)
& c2_2(X16,a483)
& c3_2(X16,a483)
& ndr1_1(X16) ) ) ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X15] :
( ndr1_0
=> ( ~ c2_1(X15)
| ( ~ c4_2(X15,a482)
& c1_2(X15,a482)
& c3_2(X15,a482)
& ndr1_1(X15) )
| c1_1(X15) ) )
| ! [X12] :
( ndr1_0
=> ( ! [X14] :
( ndr1_1(X12)
=> ( ~ c4_2(X12,X14)
| c5_2(X12,X14)
| c1_2(X12,X14) ) )
| c4_1(X12)
| ! [X13] :
( ndr1_1(X12)
=> ( ~ c2_2(X12,X13)
| ~ c4_2(X12,X13)
| ~ c1_2(X12,X13) ) ) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( ! [X11] :
( ndr1_1(X9)
=> ( ~ c4_2(X9,X11)
| c2_2(X9,X11)
| ~ c5_2(X9,X11) ) )
| ! [X10] :
( ndr1_1(X9)
=> ( c4_2(X9,X10)
| ~ c3_2(X9,X10)
| ~ c5_2(X9,X10) ) )
| c2_1(X9) ) )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ~ c3_0
| ( ! [X8] :
( ndr1_1(a479)
=> ( ~ c2_2(a479,X8)
| ~ c5_2(a479,X8)
| ~ c1_2(a479,X8) ) )
& c5_1(a479)
& ndr1_0 )
| c4_0 )
& ( ( c1_1(a478)
& ! [X7] :
( ndr1_1(a478)
=> ( ~ c4_2(a478,X7)
| ~ c1_2(a478,X7)
| ~ c2_2(a478,X7) ) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X6] :
( ndr1_0
=> ( ~ c2_1(X6)
| ( c1_2(X6,a477)
& c5_2(X6,a477)
& ~ c2_2(X6,a477)
& ndr1_1(X6) )
| c5_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| ~ c4_1(X5)
| c2_1(X5) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ( ~ c5_2(X3,a476)
& ~ c1_2(X3,a476)
& ~ c3_2(X3,a476)
& ndr1_1(X3) )
| ~ c3_1(X3)
| ! [X4] :
( ndr1_1(X3)
=> ( c5_2(X3,X4)
| ~ c4_2(X3,X4)
| c3_2(X3,X4) ) ) ) )
| ~ c2_0
| c4_0 )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [X2] :
( ndr1_1(a474)
=> ( ~ c4_2(a474,X2)
| c1_2(a474,X2)
| ~ c5_2(a474,X2) ) )
& ! [X1] :
( ndr1_1(a474)
=> ( ~ c3_2(a474,X1)
| c4_2(a474,X1) ) )
& ndr1_0 )
| ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 ) )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [X0] :
( ndr1_0
=> ( c5_1(X0)
| c3_1(X0) ) )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ~ ( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X0] :
( ndr1_0
=> ( ~ c5_1(X0)
| c4_1(X0)
| ~ c3_1(X0) ) ) )
& ( ! [X1] :
( ndr1_0
=> ( ( ~ c3_2(X1,a490)
& c1_2(X1,a490)
& ndr1_1(X1) )
| ( ~ c2_2(X1,a489)
& c5_2(X1,a489)
& c3_2(X1,a489)
& ndr1_1(X1) )
| c2_1(X1) ) )
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ! [X2] :
( ndr1_1(a488)
=> ( c4_2(a488,X2)
| c1_2(a488,X2) ) )
& c4_1(a488)
& ndr1_0 )
| ( ~ c2_1(a487)
& ! [X3] :
( ndr1_1(a487)
=> ( ~ c5_2(a487,X3)
| c4_2(a487,X3)
| ~ c2_2(a487,X3) ) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| c1_1(X4) ) )
| c3_0 )
& ( c4_0
| ! [X5] :
( ndr1_0
=> c2_1(X5) )
| ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| c4_1(X6)
| ! [X7] :
( ndr1_1(X6)
=> ( ~ c4_2(X6,X7)
| ~ c5_2(X6,X7)
| ~ c2_2(X6,X7) ) ) ) ) )
& ( c2_0
| ~ c5_0
| ! [X8] :
( ndr1_0
=> ( ! [X9] :
( ndr1_1(X8)
=> ( ~ c3_2(X8,X9)
| c5_2(X8,X9)
| ~ c1_2(X8,X9) ) )
| ~ c3_1(X8)
| c1_1(X8) ) ) )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X10] :
( ndr1_1(a484)
=> c4_2(a484,X10) )
& ndr1_0 ) )
& ( ~ c2_0
| c4_0
| ! [X11] :
( ndr1_0
=> ( ~ c2_1(X11)
| ( c1_2(X11,a483)
& c2_2(X11,a483)
& c3_2(X11,a483)
& ndr1_1(X11) ) ) ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X12] :
( ndr1_0
=> ( ~ c2_1(X12)
| ( ~ c4_2(X12,a482)
& c1_2(X12,a482)
& c3_2(X12,a482)
& ndr1_1(X12) )
| c1_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( ! [X14] :
( ndr1_1(X13)
=> ( ~ c4_2(X13,X14)
| c5_2(X13,X14)
| c1_2(X13,X14) ) )
| c4_1(X13)
| ! [X15] :
( ndr1_1(X13)
=> ( ~ c2_2(X13,X15)
| ~ c4_2(X13,X15)
| ~ c1_2(X13,X15) ) ) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( ! [X17] :
( ndr1_1(X16)
=> ( ~ c4_2(X16,X17)
| c2_2(X16,X17)
| ~ c5_2(X16,X17) ) )
| ! [X18] :
( ndr1_1(X16)
=> ( c4_2(X16,X18)
| ~ c3_2(X16,X18)
| ~ c5_2(X16,X18) ) )
| c2_1(X16) ) )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ~ c3_0
| ( ! [X19] :
( ndr1_1(a479)
=> ( ~ c2_2(a479,X19)
| ~ c5_2(a479,X19)
| ~ c1_2(a479,X19) ) )
& c5_1(a479)
& ndr1_0 )
| c4_0 )
& ( ( c1_1(a478)
& ! [X20] :
( ndr1_1(a478)
=> ( ~ c4_2(a478,X20)
| ~ c1_2(a478,X20)
| ~ c2_2(a478,X20) ) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| ( c1_2(X21,a477)
& c5_2(X21,a477)
& ~ c2_2(X21,a477)
& ndr1_1(X21) )
| c5_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| ~ c4_1(X22)
| c2_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( ( ~ c5_2(X23,a476)
& ~ c1_2(X23,a476)
& ~ c3_2(X23,a476)
& ndr1_1(X23) )
| ~ c3_1(X23)
| ! [X24] :
( ndr1_1(X23)
=> ( c5_2(X23,X24)
| ~ c4_2(X23,X24)
| c3_2(X23,X24) ) ) ) )
| ~ c2_0
| c4_0 )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [X25] :
( ndr1_1(a474)
=> ( ~ c4_2(a474,X25)
| c1_2(a474,X25)
| ~ c5_2(a474,X25) ) )
& ! [X26] :
( ndr1_1(a474)
=> ( ~ c3_2(a474,X26)
| c4_2(a474,X26) ) )
& ndr1_0 )
| ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 ) )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [X27] :
( ndr1_0
=> ( c5_1(X27)
| c3_1(X27) ) )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X0] :
( ndr1_0
=> ( ~ c5_1(X0)
| c4_1(X0)
| ~ c3_1(X0) ) ) )
& ( ! [X1] :
( ndr1_0
=> ( ( ~ c3_2(X1,a490)
& c1_2(X1,a490)
& ndr1_1(X1) )
| ( ~ c2_2(X1,a489)
& c5_2(X1,a489)
& c3_2(X1,a489)
& ndr1_1(X1) )
| c2_1(X1) ) )
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ! [X2] :
( ndr1_1(a488)
=> ( c4_2(a488,X2)
| c1_2(a488,X2) ) )
& c4_1(a488)
& ndr1_0 )
| ( ~ c2_1(a487)
& ! [X3] :
( ndr1_1(a487)
=> ( ~ c5_2(a487,X3)
| c4_2(a487,X3)
| ~ c2_2(a487,X3) ) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| c1_1(X4) ) )
| c3_0 )
& ( c4_0
| ! [X5] :
( ndr1_0
=> c2_1(X5) )
| ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| c4_1(X6)
| ! [X7] :
( ndr1_1(X6)
=> ( ~ c4_2(X6,X7)
| ~ c5_2(X6,X7)
| ~ c2_2(X6,X7) ) ) ) ) )
& ( c2_0
| ~ c5_0
| ! [X8] :
( ndr1_0
=> ( ! [X9] :
( ndr1_1(X8)
=> ( ~ c3_2(X8,X9)
| c5_2(X8,X9)
| ~ c1_2(X8,X9) ) )
| ~ c3_1(X8)
| c1_1(X8) ) ) )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X10] :
( ndr1_1(a484)
=> c4_2(a484,X10) )
& ndr1_0 ) )
& ( ~ c2_0
| c4_0
| ! [X11] :
( ndr1_0
=> ( ~ c2_1(X11)
| ( c1_2(X11,a483)
& c2_2(X11,a483)
& c3_2(X11,a483)
& ndr1_1(X11) ) ) ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X12] :
( ndr1_0
=> ( ~ c2_1(X12)
| ( ~ c4_2(X12,a482)
& c1_2(X12,a482)
& c3_2(X12,a482)
& ndr1_1(X12) )
| c1_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( ! [X14] :
( ndr1_1(X13)
=> ( ~ c4_2(X13,X14)
| c5_2(X13,X14)
| c1_2(X13,X14) ) )
| c4_1(X13)
| ! [X15] :
( ndr1_1(X13)
=> ( ~ c2_2(X13,X15)
| ~ c4_2(X13,X15)
| ~ c1_2(X13,X15) ) ) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( ! [X17] :
( ndr1_1(X16)
=> ( ~ c4_2(X16,X17)
| c2_2(X16,X17)
| ~ c5_2(X16,X17) ) )
| ! [X18] :
( ndr1_1(X16)
=> ( c4_2(X16,X18)
| ~ c3_2(X16,X18)
| ~ c5_2(X16,X18) ) )
| c2_1(X16) ) )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ~ c3_0
| ( ! [X19] :
( ndr1_1(a479)
=> ( ~ c2_2(a479,X19)
| ~ c5_2(a479,X19)
| ~ c1_2(a479,X19) ) )
& c5_1(a479)
& ndr1_0 )
| c4_0 )
& ( ( c1_1(a478)
& ! [X20] :
( ndr1_1(a478)
=> ( ~ c4_2(a478,X20)
| ~ c1_2(a478,X20)
| ~ c2_2(a478,X20) ) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| ( c1_2(X21,a477)
& c5_2(X21,a477)
& ~ c2_2(X21,a477)
& ndr1_1(X21) )
| c5_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| ~ c4_1(X22)
| c2_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( ( ~ c5_2(X23,a476)
& ~ c1_2(X23,a476)
& ~ c3_2(X23,a476)
& ndr1_1(X23) )
| ~ c3_1(X23)
| ! [X24] :
( ndr1_1(X23)
=> ( c5_2(X23,X24)
| ~ c4_2(X23,X24)
| c3_2(X23,X24) ) ) ) )
| ~ c2_0
| c4_0 )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [X25] :
( ndr1_1(a474)
=> ( ~ c4_2(a474,X25)
| c1_2(a474,X25)
| ~ c5_2(a474,X25) ) )
& ! [X26] :
( ndr1_1(a474)
=> ( ~ c3_2(a474,X26)
| c4_2(a474,X26) ) )
& ndr1_0 )
| ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 ) )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [X27] :
( ndr1_0
=> ( c5_1(X27)
| c3_1(X27) ) )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X0] :
( ndr1_0
=> ( ~ c5_1(X0)
| c4_1(X0)
| ~ c3_1(X0) ) ) )
& ( ! [X1] :
( ndr1_0
=> ( ( ~ c3_2(X1,a490)
& c1_2(X1,a490)
& ndr1_1(X1) )
| ( ~ c2_2(X1,a489)
& c5_2(X1,a489)
& c3_2(X1,a489)
& ndr1_1(X1) )
| c2_1(X1) ) )
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ! [X2] :
( ndr1_1(a488)
=> ( c4_2(a488,X2)
| c1_2(a488,X2) ) )
& c4_1(a488)
& ndr1_0 )
| ( ~ c2_1(a487)
& ! [X3] :
( ndr1_1(a487)
=> ( ~ c5_2(a487,X3)
| c4_2(a487,X3)
| ~ c2_2(a487,X3) ) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| c1_1(X4) ) )
| c3_0 )
& ( c2_0
| ~ c5_0
| ! [X8] :
( ndr1_0
=> ( ! [X9] :
( ndr1_1(X8)
=> ( ~ c3_2(X8,X9)
| c5_2(X8,X9)
| ~ c1_2(X8,X9) ) )
| ~ c3_1(X8)
| c1_1(X8) ) ) )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X10] :
( ndr1_1(a484)
=> c4_2(a484,X10) )
& ndr1_0 ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X12] :
( ndr1_0
=> ( ~ c2_1(X12)
| ( ~ c4_2(X12,a482)
& c1_2(X12,a482)
& c3_2(X12,a482)
& ndr1_1(X12) )
| c1_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( ! [X14] :
( ndr1_1(X13)
=> ( ~ c4_2(X13,X14)
| c5_2(X13,X14)
| c1_2(X13,X14) ) )
| c4_1(X13)
| ! [X15] :
( ndr1_1(X13)
=> ( ~ c2_2(X13,X15)
| ~ c4_2(X13,X15)
| ~ c1_2(X13,X15) ) ) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( ! [X17] :
( ndr1_1(X16)
=> ( ~ c4_2(X16,X17)
| c2_2(X16,X17)
| ~ c5_2(X16,X17) ) )
| ! [X18] :
( ndr1_1(X16)
=> ( c4_2(X16,X18)
| ~ c3_2(X16,X18)
| ~ c5_2(X16,X18) ) )
| c2_1(X16) ) )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ( c1_1(a478)
& ! [X20] :
( ndr1_1(a478)
=> ( ~ c4_2(a478,X20)
| ~ c1_2(a478,X20)
| ~ c2_2(a478,X20) ) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| ( c1_2(X21,a477)
& c5_2(X21,a477)
& ~ c2_2(X21,a477)
& ndr1_1(X21) )
| c5_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| ~ c4_1(X22)
| c2_1(X22) ) ) )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [X25] :
( ndr1_1(a474)
=> ( ~ c4_2(a474,X25)
| c1_2(a474,X25)
| ~ c5_2(a474,X25) ) )
& ! [X26] :
( ndr1_1(a474)
=> ( ~ c3_2(a474,X26)
| c4_2(a474,X26) ) )
& ndr1_0 )
| ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 ) )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [X27] :
( ndr1_0
=> ( c5_1(X27)
| c3_1(X27) ) )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f6,plain,
( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X0] :
( ~ c5_1(X0)
| c4_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ) )
& ( ! [X1] :
( ( ~ c3_2(X1,a490)
& c1_2(X1,a490)
& ndr1_1(X1) )
| ( ~ c2_2(X1,a489)
& c5_2(X1,a489)
& c3_2(X1,a489)
& ndr1_1(X1) )
| c2_1(X1)
| ~ ndr1_0 )
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ! [X2] :
( c4_2(a488,X2)
| c1_2(a488,X2)
| ~ ndr1_1(a488) )
& c4_1(a488)
& ndr1_0 )
| ( ~ c2_1(a487)
& ! [X3] :
( ~ c5_2(a487,X3)
| c4_2(a487,X3)
| ~ c2_2(a487,X3)
| ~ ndr1_1(a487) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X4] :
( c3_1(X4)
| c1_1(X4)
| ~ ndr1_0 )
| c3_0 )
& ( c2_0
| ~ c5_0
| ! [X8] :
( ! [X9] :
( ~ c3_2(X8,X9)
| c5_2(X8,X9)
| ~ c1_2(X8,X9)
| ~ ndr1_1(X8) )
| ~ c3_1(X8)
| c1_1(X8)
| ~ ndr1_0 ) )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X10] :
( c4_2(a484,X10)
| ~ ndr1_1(a484) )
& ndr1_0 ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X12] :
( ~ c2_1(X12)
| ( ~ c4_2(X12,a482)
& c1_2(X12,a482)
& c3_2(X12,a482)
& ndr1_1(X12) )
| c1_1(X12)
| ~ ndr1_0 )
| ! [X13] :
( ! [X14] :
( ~ c4_2(X13,X14)
| c5_2(X13,X14)
| c1_2(X13,X14)
| ~ ndr1_1(X13) )
| c4_1(X13)
| ! [X15] :
( ~ c2_2(X13,X15)
| ~ c4_2(X13,X15)
| ~ c1_2(X13,X15)
| ~ ndr1_1(X13) )
| ~ ndr1_0 ) )
& ( ! [X16] :
( ! [X17] :
( ~ c4_2(X16,X17)
| c2_2(X16,X17)
| ~ c5_2(X16,X17)
| ~ ndr1_1(X16) )
| ! [X18] :
( c4_2(X16,X18)
| ~ c3_2(X16,X18)
| ~ c5_2(X16,X18)
| ~ ndr1_1(X16) )
| c2_1(X16)
| ~ ndr1_0 )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ( c1_1(a478)
& ! [X20] :
( ~ c4_2(a478,X20)
| ~ c1_2(a478,X20)
| ~ c2_2(a478,X20)
| ~ ndr1_1(a478) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X21] :
( ~ c2_1(X21)
| ( c1_2(X21,a477)
& c5_2(X21,a477)
& ~ c2_2(X21,a477)
& ndr1_1(X21) )
| c5_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( ~ c1_1(X22)
| ~ c4_1(X22)
| c2_1(X22)
| ~ ndr1_0 ) )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [X25] :
( ~ c4_2(a474,X25)
| c1_2(a474,X25)
| ~ c5_2(a474,X25)
| ~ ndr1_1(a474) )
& ! [X26] :
( ~ c3_2(a474,X26)
| c4_2(a474,X26)
| ~ ndr1_1(a474) )
& ndr1_0 )
| ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 ) )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [X27] :
( c5_1(X27)
| c3_1(X27)
| ~ ndr1_0 )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X0] :
( ~ c5_1(X0)
| c4_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ) )
& ( ! [X1] :
( ( ~ c3_2(X1,a490)
& c1_2(X1,a490)
& ndr1_1(X1) )
| ( ~ c2_2(X1,a489)
& c5_2(X1,a489)
& c3_2(X1,a489)
& ndr1_1(X1) )
| c2_1(X1)
| ~ ndr1_0 )
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ! [X2] :
( c4_2(a488,X2)
| c1_2(a488,X2)
| ~ ndr1_1(a488) )
& c4_1(a488)
& ndr1_0 )
| ( ~ c2_1(a487)
& ! [X3] :
( ~ c5_2(a487,X3)
| c4_2(a487,X3)
| ~ c2_2(a487,X3)
| ~ ndr1_1(a487) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X4] :
( c3_1(X4)
| c1_1(X4)
| ~ ndr1_0 )
| c3_0 )
& ( c2_0
| ~ c5_0
| ! [X8] :
( ! [X9] :
( ~ c3_2(X8,X9)
| c5_2(X8,X9)
| ~ c1_2(X8,X9)
| ~ ndr1_1(X8) )
| ~ c3_1(X8)
| c1_1(X8)
| ~ ndr1_0 ) )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X10] :
( c4_2(a484,X10)
| ~ ndr1_1(a484) )
& ndr1_0 ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X12] :
( ~ c2_1(X12)
| ( ~ c4_2(X12,a482)
& c1_2(X12,a482)
& c3_2(X12,a482)
& ndr1_1(X12) )
| c1_1(X12)
| ~ ndr1_0 )
| ! [X13] :
( ! [X14] :
( ~ c4_2(X13,X14)
| c5_2(X13,X14)
| c1_2(X13,X14)
| ~ ndr1_1(X13) )
| c4_1(X13)
| ! [X15] :
( ~ c2_2(X13,X15)
| ~ c4_2(X13,X15)
| ~ c1_2(X13,X15)
| ~ ndr1_1(X13) )
| ~ ndr1_0 ) )
& ( ! [X16] :
( ! [X17] :
( ~ c4_2(X16,X17)
| c2_2(X16,X17)
| ~ c5_2(X16,X17)
| ~ ndr1_1(X16) )
| ! [X18] :
( c4_2(X16,X18)
| ~ c3_2(X16,X18)
| ~ c5_2(X16,X18)
| ~ ndr1_1(X16) )
| c2_1(X16)
| ~ ndr1_0 )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ( c1_1(a478)
& ! [X20] :
( ~ c4_2(a478,X20)
| ~ c1_2(a478,X20)
| ~ c2_2(a478,X20)
| ~ ndr1_1(a478) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X21] :
( ~ c2_1(X21)
| ( c1_2(X21,a477)
& c5_2(X21,a477)
& ~ c2_2(X21,a477)
& ndr1_1(X21) )
| c5_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( ~ c1_1(X22)
| ~ c4_1(X22)
| c2_1(X22)
| ~ ndr1_0 ) )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [X25] :
( ~ c4_2(a474,X25)
| c1_2(a474,X25)
| ~ c5_2(a474,X25)
| ~ ndr1_1(a474) )
& ! [X26] :
( ~ c3_2(a474,X26)
| c4_2(a474,X26)
| ~ ndr1_1(a474) )
& ndr1_0 )
| ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 ) )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [X27] :
( c5_1(X27)
| c3_1(X27)
| ~ ndr1_0 )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
( ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
( ! [X21] :
( ~ c2_1(X21)
| ( c1_2(X21,a477)
& c5_2(X21,a477)
& ~ c2_2(X21,a477)
& ndr1_1(X21) )
| c5_1(X21)
| ~ ndr1_0 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
( ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
( ( c2_1(a488)
& ! [X2] :
( c4_2(a488,X2)
| c1_2(a488,X2)
| ~ ndr1_1(a488) )
& c4_1(a488)
& ndr1_0 )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X1] :
( ( ~ c2_2(X1,a489)
& c5_2(X1,a489)
& c3_2(X1,a489)
& ndr1_1(X1) )
| ~ sP4(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X0] :
( ~ c5_1(X0)
| c4_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ) )
& ( ! [X1] :
( ( ~ c3_2(X1,a490)
& c1_2(X1,a490)
& ndr1_1(X1) )
| sP4(X1)
| c2_1(X1)
| ~ ndr1_0 )
| ~ c5_0
| c3_0 )
& ( sP3
| ( ~ c2_1(a487)
& ! [X3] :
( ~ c5_2(a487,X3)
| c4_2(a487,X3)
| ~ c2_2(a487,X3)
| ~ ndr1_1(a487) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X4] :
( c3_1(X4)
| c1_1(X4)
| ~ ndr1_0 )
| c3_0 )
& ( c2_0
| ~ c5_0
| ! [X8] :
( ! [X9] :
( ~ c3_2(X8,X9)
| c5_2(X8,X9)
| ~ c1_2(X8,X9)
| ~ ndr1_1(X8) )
| ~ c3_1(X8)
| c1_1(X8)
| ~ ndr1_0 ) )
& ( c2_0
| sP2
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X10] :
( c4_2(a484,X10)
| ~ ndr1_1(a484) )
& ndr1_0 ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X12] :
( ~ c2_1(X12)
| ( ~ c4_2(X12,a482)
& c1_2(X12,a482)
& c3_2(X12,a482)
& ndr1_1(X12) )
| c1_1(X12)
| ~ ndr1_0 )
| ! [X13] :
( ! [X14] :
( ~ c4_2(X13,X14)
| c5_2(X13,X14)
| c1_2(X13,X14)
| ~ ndr1_1(X13) )
| c4_1(X13)
| ! [X15] :
( ~ c2_2(X13,X15)
| ~ c4_2(X13,X15)
| ~ c1_2(X13,X15)
| ~ ndr1_1(X13) )
| ~ ndr1_0 ) )
& ( ! [X16] :
( ! [X17] :
( ~ c4_2(X16,X17)
| c2_2(X16,X17)
| ~ c5_2(X16,X17)
| ~ ndr1_1(X16) )
| ! [X18] :
( c4_2(X16,X18)
| ~ c3_2(X16,X18)
| ~ c5_2(X16,X18)
| ~ ndr1_1(X16) )
| c2_1(X16)
| ~ ndr1_0 )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ( c1_1(a478)
& ! [X20] :
( ~ c4_2(a478,X20)
| ~ c1_2(a478,X20)
| ~ c2_2(a478,X20)
| ~ ndr1_1(a478) )
& ~ c2_1(a478)
& ndr1_0 )
| sP1
| ! [X22] :
( ~ c1_1(X22)
| ~ c4_1(X22)
| c2_1(X22)
| ~ ndr1_0 ) )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [X25] :
( ~ c4_2(a474,X25)
| c1_2(a474,X25)
| ~ c5_2(a474,X25)
| ~ ndr1_1(a474) )
& ! [X26] :
( ~ c3_2(a474,X26)
| c4_2(a474,X26)
| ~ ndr1_1(a474) )
& ndr1_0 )
| sP0 )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [X27] :
( c5_1(X27)
| c3_1(X27)
| ~ ndr1_0 )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(definition_folding,[],[f7,f12,f11,f10,f9,f8]) ).
fof(f14,plain,
! [X1] :
( ( ~ c2_2(X1,a489)
& c5_2(X1,a489)
& c3_2(X1,a489)
& ndr1_1(X1) )
| ~ sP4(X1) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
! [X0] :
( ( ~ c2_2(X0,a489)
& c5_2(X0,a489)
& c3_2(X0,a489)
& ndr1_1(X0) )
| ~ sP4(X0) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
( ( c2_1(a488)
& ! [X2] :
( c4_2(a488,X2)
| c1_2(a488,X2)
| ~ ndr1_1(a488) )
& c4_1(a488)
& ndr1_0 )
| ~ sP3 ),
inference(nnf_transformation,[],[f11]) ).
fof(f17,plain,
( ( c2_1(a488)
& ! [X0] :
( c4_2(a488,X0)
| c1_2(a488,X0)
| ~ ndr1_1(a488) )
& c4_1(a488)
& ndr1_0 )
| ~ sP3 ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
( ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ~ sP2 ),
inference(nnf_transformation,[],[f10]) ).
fof(f19,plain,
( ! [X21] :
( ~ c2_1(X21)
| ( c1_2(X21,a477)
& c5_2(X21,a477)
& ~ c2_2(X21,a477)
& ndr1_1(X21) )
| c5_1(X21)
| ~ ndr1_0 )
| ~ sP1 ),
inference(nnf_transformation,[],[f9]) ).
fof(f20,plain,
( ! [X0] :
( ~ c2_1(X0)
| ( c1_2(X0,a477)
& c5_2(X0,a477)
& ~ c2_2(X0,a477)
& ndr1_1(X0) )
| c5_1(X0)
| ~ ndr1_0 )
| ~ sP1 ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
( ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 )
| ~ sP0 ),
inference(nnf_transformation,[],[f8]) ).
fof(f22,plain,
( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X0] :
( ~ c5_1(X0)
| c4_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ) )
& ( ! [X1] :
( ( ~ c3_2(X1,a490)
& c1_2(X1,a490)
& ndr1_1(X1) )
| sP4(X1)
| c2_1(X1)
| ~ ndr1_0 )
| ~ c5_0
| c3_0 )
& ( sP3
| ( ~ c2_1(a487)
& ! [X2] :
( ~ c5_2(a487,X2)
| c4_2(a487,X2)
| ~ c2_2(a487,X2)
| ~ ndr1_1(a487) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X3] :
( c3_1(X3)
| c1_1(X3)
| ~ ndr1_0 )
| c3_0 )
& ( c2_0
| ~ c5_0
| ! [X4] :
( ! [X5] :
( ~ c3_2(X4,X5)
| c5_2(X4,X5)
| ~ c1_2(X4,X5)
| ~ ndr1_1(X4) )
| ~ c3_1(X4)
| c1_1(X4)
| ~ ndr1_0 ) )
& ( c2_0
| sP2
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X6] :
( c4_2(a484,X6)
| ~ ndr1_1(a484) )
& ndr1_0 ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X7] :
( ~ c2_1(X7)
| ( ~ c4_2(X7,a482)
& c1_2(X7,a482)
& c3_2(X7,a482)
& ndr1_1(X7) )
| c1_1(X7)
| ~ ndr1_0 )
| ! [X8] :
( ! [X9] :
( ~ c4_2(X8,X9)
| c5_2(X8,X9)
| c1_2(X8,X9)
| ~ ndr1_1(X8) )
| c4_1(X8)
| ! [X10] :
( ~ c2_2(X8,X10)
| ~ c4_2(X8,X10)
| ~ c1_2(X8,X10)
| ~ ndr1_1(X8) )
| ~ ndr1_0 ) )
& ( ! [X11] :
( ! [X12] :
( ~ c4_2(X11,X12)
| c2_2(X11,X12)
| ~ c5_2(X11,X12)
| ~ ndr1_1(X11) )
| ! [X13] :
( c4_2(X11,X13)
| ~ c3_2(X11,X13)
| ~ c5_2(X11,X13)
| ~ ndr1_1(X11) )
| c2_1(X11)
| ~ ndr1_0 )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ( c1_1(a478)
& ! [X14] :
( ~ c4_2(a478,X14)
| ~ c1_2(a478,X14)
| ~ c2_2(a478,X14)
| ~ ndr1_1(a478) )
& ~ c2_1(a478)
& ndr1_0 )
| sP1
| ! [X15] :
( ~ c1_1(X15)
| ~ c4_1(X15)
| c2_1(X15)
| ~ ndr1_0 ) )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [X16] :
( ~ c4_2(a474,X16)
| c1_2(a474,X16)
| ~ c5_2(a474,X16)
| ~ ndr1_1(a474) )
& ! [X17] :
( ~ c3_2(a474,X17)
| c4_2(a474,X17)
| ~ ndr1_1(a474) )
& ndr1_0 )
| sP0 )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [X18] :
( c5_1(X18)
| c3_1(X18)
| ~ ndr1_0 )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(rectify,[],[f13]) ).
fof(f23,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0] :
( c3_2(X0,a489)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
! [X0] :
( c5_2(X0,a489)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
! [X0] :
( ~ c2_2(X0,a489)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f28,plain,
( c4_1(a488)
| ~ sP3 ),
inference(cnf_transformation,[],[f17]) ).
fof(f29,plain,
! [X0] :
( c4_2(a488,X0)
| c1_2(a488,X0)
| ~ ndr1_1(a488)
| ~ sP3 ),
inference(cnf_transformation,[],[f17]) ).
fof(f30,plain,
( c2_1(a488)
| ~ sP3 ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
( ndr1_1(a485)
| ~ sP2 ),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
( c3_2(a485,a486)
| ~ sP2 ),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
( c2_2(a485,a486)
| ~ sP2 ),
inference(cnf_transformation,[],[f18]) ).
fof(f35,plain,
( c5_2(a485,a486)
| ~ sP2 ),
inference(cnf_transformation,[],[f18]) ).
fof(f36,plain,
( c2_1(a485)
| ~ sP2 ),
inference(cnf_transformation,[],[f18]) ).
fof(f37,plain,
( c4_1(a485)
| ~ sP2 ),
inference(cnf_transformation,[],[f18]) ).
fof(f38,plain,
! [X0] :
( ~ c2_1(X0)
| ndr1_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ~ sP1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0] :
( ~ c2_1(X0)
| ~ c2_2(X0,a477)
| c5_1(X0)
| ~ ndr1_0
| ~ sP1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f40,plain,
! [X0] :
( ~ c2_1(X0)
| c5_2(X0,a477)
| c5_1(X0)
| ~ ndr1_0
| ~ sP1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
! [X0] :
( ~ c2_1(X0)
| c1_2(X0,a477)
| c5_1(X0)
| ~ ndr1_0
| ~ sP1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f42,plain,
( ndr1_0
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f43,plain,
( ~ c1_1(a472)
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f44,plain,
( c5_1(a472)
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f45,plain,
( ndr1_1(a472)
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f46,plain,
( ~ c5_2(a472,a473)
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
( ~ c3_2(a472,a473)
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
( ~ c1_0
| ~ c2_1(a471)
| c2_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f50,plain,
( ~ c1_0
| ~ c4_1(a471)
| c2_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f51,plain,
! [X18] :
( c1_0
| c5_1(X18)
| c3_1(X18)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
( ~ c5_0
| c1_0
| c3_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f53,plain,
( ndr1_0
| sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f54,plain,
! [X17] :
( ~ c3_2(a474,X17)
| c4_2(a474,X17)
| ~ ndr1_1(a474)
| sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f55,plain,
! [X16] :
( ~ c4_2(a474,X16)
| c1_2(a474,X16)
| ~ c5_2(a474,X16)
| ~ ndr1_1(a474)
| sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f56,plain,
( ndr1_1(a474)
| sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f57,plain,
( ~ c5_2(a474,a475)
| sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f58,plain,
( c2_2(a474,a475)
| sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f59,plain,
( ~ c3_0
| ~ c2_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f61,plain,
! [X15] :
( ~ c2_1(a478)
| sP1
| ~ c1_1(X15)
| ~ c4_1(X15)
| c2_1(X15)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f62,plain,
! [X14,X15] :
( ~ c4_2(a478,X14)
| ~ c1_2(a478,X14)
| ~ c2_2(a478,X14)
| ~ ndr1_1(a478)
| sP1
| ~ c1_1(X15)
| ~ c4_1(X15)
| c2_1(X15)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f63,plain,
! [X15] :
( c1_1(a478)
| sP1
| ~ c1_1(X15)
| ~ c4_1(X15)
| c2_1(X15)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f74,plain,
( c1_0
| c5_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f76,plain,
! [X6] :
( c2_0
| sP2
| c4_2(a484,X6)
| ~ ndr1_1(a484) ),
inference(cnf_transformation,[],[f22]) ).
fof(f77,plain,
( c2_0
| sP2
| ~ c3_1(a484) ),
inference(cnf_transformation,[],[f22]) ).
fof(f78,plain,
( c2_0
| sP2
| ~ c1_1(a484) ),
inference(cnf_transformation,[],[f22]) ).
fof(f79,plain,
! [X4,X5] :
( c2_0
| ~ c5_0
| ~ c3_2(X4,X5)
| c5_2(X4,X5)
| ~ c1_2(X4,X5)
| ~ ndr1_1(X4)
| ~ c3_1(X4)
| c1_1(X4)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f80,plain,
! [X3] :
( c5_0
| c3_1(X3)
| c1_1(X3)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f81,plain,
( sP3
| ndr1_0
| ~ c5_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f82,plain,
! [X2] :
( sP3
| ~ c5_2(a487,X2)
| c4_2(a487,X2)
| ~ c2_2(a487,X2)
| ~ ndr1_1(a487)
| ~ c5_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f83,plain,
( sP3
| ~ c2_1(a487)
| ~ c5_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f84,plain,
! [X1] :
( ndr1_1(X1)
| sP4(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c5_0
| c3_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f85,plain,
! [X1] :
( c1_2(X1,a490)
| sP4(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c5_0
| c3_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f86,plain,
! [X1] :
( ~ c3_2(X1,a490)
| sP4(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c5_0
| c3_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f87,plain,
! [X0] :
( ~ c2_0
| c5_0
| ~ c5_1(X0)
| c4_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f89,plain,
( c3_0
| c3_1(a491) ),
inference(cnf_transformation,[],[f22]) ).
fof(f90,plain,
( c3_0
| c5_1(a491) ),
inference(cnf_transformation,[],[f22]) ).
cnf(c_49,plain,
( ~ c2_2(X0,a489)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_50,plain,
( ~ sP4(X0)
| c5_2(X0,a489) ),
inference(cnf_transformation,[],[f25]) ).
cnf(c_51,plain,
( ~ sP4(X0)
| c3_2(X0,a489) ),
inference(cnf_transformation,[],[f24]) ).
cnf(c_52,plain,
( ~ sP4(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_53,plain,
( ~ sP3
| c2_1(a488) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_54,plain,
( ~ ndr1_1(a488)
| ~ sP3
| c4_2(a488,X0)
| c1_2(a488,X0) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_55,plain,
( ~ sP3
| c4_1(a488) ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_57,plain,
( ~ sP2
| c4_1(a485) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_58,plain,
( ~ sP2
| c2_1(a485) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_59,plain,
( ~ sP2
| c5_2(a485,a486) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_60,plain,
( ~ sP2
| c2_2(a485,a486) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_61,plain,
( ~ sP2
| c3_2(a485,a486) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_62,plain,
( ~ sP2
| ndr1_1(a485) ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_64,plain,
( ~ c2_1(X0)
| ~ ndr1_0
| ~ sP1
| c1_2(X0,a477)
| c5_1(X0) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_65,plain,
( ~ c2_1(X0)
| ~ ndr1_0
| ~ sP1
| c5_2(X0,a477)
| c5_1(X0) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_66,plain,
( ~ c2_2(X0,a477)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ sP1
| c5_1(X0) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_67,plain,
( ~ c2_1(X0)
| ~ ndr1_0
| ~ sP1
| ndr1_1(X0)
| c5_1(X0) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_68,plain,
( ~ c3_2(a472,a473)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_69,plain,
( ~ c5_2(a472,a473)
| ~ sP0 ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_70,plain,
( ~ sP0
| ndr1_1(a472) ),
inference(cnf_transformation,[],[f45]) ).
cnf(c_71,plain,
( ~ sP0
| c5_1(a472) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_72,plain,
( ~ c1_1(a472)
| ~ sP0 ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_73,plain,
( ~ sP0
| ndr1_0 ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_74,negated_conjecture,
( c5_1(a491)
| c3_0 ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_75,negated_conjecture,
( c3_1(a491)
| c3_0 ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_77,negated_conjecture,
( ~ c5_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_0
| c4_1(X0)
| c5_0 ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_78,negated_conjecture,
( ~ c3_2(X0,a490)
| ~ ndr1_0
| ~ c5_0
| sP4(X0)
| c2_1(X0)
| c3_0 ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_79,negated_conjecture,
( ~ ndr1_0
| ~ c5_0
| c1_2(X0,a490)
| sP4(X0)
| c2_1(X0)
| c3_0 ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_80,negated_conjecture,
( ~ ndr1_0
| ~ c5_0
| sP4(X0)
| ndr1_1(X0)
| c2_1(X0)
| c3_0 ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_81,negated_conjecture,
( ~ c2_1(a487)
| ~ c5_0
| sP3 ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_82,negated_conjecture,
( ~ c2_2(a487,X0)
| ~ c5_2(a487,X0)
| ~ ndr1_1(a487)
| ~ c5_0
| c4_2(a487,X0)
| sP3 ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_83,negated_conjecture,
( ~ c5_0
| sP3
| ndr1_0 ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_84,negated_conjecture,
( ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| c3_0
| c5_0 ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_85,negated_conjecture,
( ~ c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c5_0
| c5_2(X0,X1)
| c1_1(X0)
| c2_0 ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_86,negated_conjecture,
( ~ c1_1(a484)
| sP2
| c2_0 ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_87,negated_conjecture,
( ~ c3_1(a484)
| sP2
| c2_0 ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_88,negated_conjecture,
( ~ ndr1_1(a484)
| c4_2(a484,X0)
| sP2
| c2_0 ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_90,negated_conjecture,
( c5_0
| c1_0 ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_91,negated_conjecture,
( ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1)
| ~ c4_2(X3,a482)
| ~ ndr1_1(X0)
| ~ c2_1(X3)
| ~ ndr1_0
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| c4_1(X0)
| c1_1(X3) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_92,negated_conjecture,
( ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X3)
| ~ ndr1_0
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| c1_2(X3,a482)
| c4_1(X0)
| c1_1(X3) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_93,negated_conjecture,
( ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X3)
| ~ ndr1_0
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| c3_2(X3,a482)
| c4_1(X0)
| c1_1(X3) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_94,negated_conjecture,
( ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X3)
| ~ ndr1_0
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| ndr1_1(X3)
| c4_1(X0)
| c1_1(X3) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_95,negated_conjecture,
( ~ c5_2(X0,X1)
| ~ c5_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_1(a480)
| ~ ndr1_0
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_1(X0)
| c5_0 ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_96,negated_conjecture,
( ~ c5_2(X0,X1)
| ~ c5_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_2(a480,a481)
| c2_1(X0)
| c5_0 ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_97,negated_conjecture,
( ~ c5_2(X0,X1)
| ~ c5_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| c2_2(X0,X1)
| c4_2(X0,X2)
| c1_2(a480,a481)
| c2_1(X0)
| c5_0 ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_98,negated_conjecture,
( ~ c5_2(X0,X1)
| ~ c5_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ c4_2(a480,a481)
| ~ ndr1_1(X0)
| ~ ndr1_0
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_1(X0)
| c5_0 ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_99,negated_conjecture,
( ~ c5_2(X0,X1)
| ~ c5_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_1(X0)
| ndr1_1(a480)
| c5_0 ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_101,negated_conjecture,
( ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c1_1(a478)
| sP1 ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_102,negated_conjecture,
( ~ c2_2(a478,X0)
| ~ c4_2(a478,X0)
| ~ c1_2(a478,X0)
| ~ c4_1(X1)
| ~ c1_1(X1)
| ~ ndr1_1(a478)
| ~ ndr1_0
| c2_1(X1)
| sP1 ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_103,negated_conjecture,
( ~ c4_1(X0)
| ~ c1_1(X0)
| ~ c2_1(a478)
| ~ ndr1_0
| c2_1(X0)
| sP1 ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_104,negated_conjecture,
( ~ c3_0
| ~ c2_0 ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_105,negated_conjecture,
( c2_2(a474,a475)
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_106,negated_conjecture,
( ~ c5_2(a474,a475)
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_107,negated_conjecture,
( ndr1_1(a474)
| sP0 ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_108,negated_conjecture,
( ~ c5_2(a474,X0)
| ~ c4_2(a474,X0)
| ~ ndr1_1(a474)
| c1_2(a474,X0)
| sP0 ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_109,negated_conjecture,
( ~ c3_2(a474,X0)
| ~ ndr1_1(a474)
| c4_2(a474,X0)
| sP0 ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_110,negated_conjecture,
( ndr1_0
| sP0 ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_111,negated_conjecture,
( ~ c5_0
| c3_0
| c1_0 ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_112,negated_conjecture,
( ~ ndr1_0
| ~ c3_0
| c5_1(X0)
| c3_1(X0)
| c1_0 ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_113,negated_conjecture,
( ~ c4_1(a471)
| ~ c1_0
| c2_0 ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_114,negated_conjecture,
( ~ c2_1(a471)
| ~ c1_0
| c2_0 ),
inference(cnf_transformation,[],[f49]) ).
cnf(c_139,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_110,c_110,c_73]) ).
cnf(c_153,negated_conjecture,
( c3_0
| c1_0 ),
inference(global_subsumption_just,[status(thm)],[c_111,c_90,c_111]) ).
cnf(c_155,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_83,c_110,c_73]) ).
cnf(c_157,negated_conjecture,
( c1_1(X0)
| c3_1(X0)
| c3_0
| c5_0 ),
inference(global_subsumption_just,[status(thm)],[c_84,c_110,c_73,c_84]) ).
cnf(c_160,negated_conjecture,
( c5_1(X0)
| c3_1(X0)
| c1_0 ),
inference(global_subsumption_just,[status(thm)],[c_112,c_110,c_90,c_73,c_111,c_112]) ).
cnf(c_163,negated_conjecture,
( ~ c3_2(a474,X0)
| c4_2(a474,X0)
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_109,c_107,c_109]) ).
cnf(c_166,negated_conjecture,
( ~ c5_0
| ndr1_1(X0)
| c2_1(X0)
| c3_0 ),
inference(global_subsumption_just,[status(thm)],[c_80,c_110,c_73,c_52,c_80]) ).
cnf(c_169,plain,
( ~ c2_1(X0)
| ~ sP1
| ndr1_1(X0)
| c5_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_110,c_73,c_67]) ).
cnf(c_172,negated_conjecture,
( ~ c5_0
| c1_2(X0,a490)
| sP4(X0)
| c2_1(X0)
| c3_0 ),
inference(global_subsumption_just,[status(thm)],[c_79,c_110,c_73,c_79]) ).
cnf(c_175,plain,
( ~ c2_1(X0)
| ~ sP1
| c5_2(X0,a477)
| c5_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_110,c_73,c_65]) ).
cnf(c_178,plain,
( ~ c2_1(X0)
| ~ sP1
| c1_2(X0,a477)
| c5_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_110,c_73,c_64]) ).
cnf(c_181,plain,
( ~ c1_1(X0)
| ~ c4_1(X0)
| c2_1(X0)
| c1_1(a478)
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_101,c_110,c_73,c_101]) ).
cnf(c_182,negated_conjecture,
( ~ c4_1(X0)
| ~ c1_1(X0)
| c2_1(X0)
| c1_1(a478)
| sP1 ),
inference(renaming,[status(thm)],[c_181]) ).
cnf(c_184,negated_conjecture,
( ~ c3_2(X0,a490)
| ~ c5_0
| sP4(X0)
| c2_1(X0)
| c3_0 ),
inference(global_subsumption_just,[status(thm)],[c_78,c_110,c_73,c_78]) ).
cnf(c_187,plain,
( ~ c3_1(X0)
| ~ c5_1(X0)
| ~ c2_0
| c4_1(X0)
| c5_0 ),
inference(global_subsumption_just,[status(thm)],[c_77,c_110,c_73,c_77]) ).
cnf(c_188,negated_conjecture,
( ~ c5_1(X0)
| ~ c3_1(X0)
| ~ c2_0
| c4_1(X0)
| c5_0 ),
inference(renaming,[status(thm)],[c_187]) ).
cnf(c_190,plain,
( ~ c2_1(X0)
| ~ c2_2(X0,a477)
| ~ sP1
| c5_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_110,c_73,c_66]) ).
cnf(c_191,plain,
( ~ c2_2(X0,a477)
| ~ c2_1(X0)
| ~ sP1
| c5_1(X0) ),
inference(renaming,[status(thm)],[c_190]) ).
cnf(c_193,plain,
( ~ c2_1(a478)
| ~ c1_1(X0)
| ~ c4_1(X0)
| c2_1(X0)
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_103,c_110,c_73,c_103]) ).
cnf(c_194,negated_conjecture,
( ~ c4_1(X0)
| ~ c1_1(X0)
| ~ c2_1(a478)
| c2_1(X0)
| sP1 ),
inference(renaming,[status(thm)],[c_193]) ).
cnf(c_196,plain,
( ~ c4_2(a474,X0)
| ~ c5_2(a474,X0)
| c1_2(a474,X0)
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_108,c_107,c_108]) ).
cnf(c_197,negated_conjecture,
( ~ c5_2(a474,X0)
| ~ c4_2(a474,X0)
| c1_2(a474,X0)
| sP0 ),
inference(renaming,[status(thm)],[c_196]) ).
cnf(c_199,plain,
( ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_0
| c5_2(X0,X1)
| c1_1(X0)
| c2_0 ),
inference(global_subsumption_just,[status(thm)],[c_85,c_110,c_73,c_85]) ).
cnf(c_200,negated_conjecture,
( ~ c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_1(X0)
| ~ c5_0
| c5_2(X0,X1)
| c1_1(X0)
| c2_0 ),
inference(renaming,[status(thm)],[c_199]) ).
cnf(c_202,plain,
( ~ ndr1_1(a478)
| ~ c1_1(X1)
| ~ c4_1(X1)
| ~ c1_2(a478,X0)
| ~ c4_2(a478,X0)
| ~ c2_2(a478,X0)
| c2_1(X1)
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_102,c_110,c_73,c_102]) ).
cnf(c_203,negated_conjecture,
( ~ c2_2(a478,X0)
| ~ c4_2(a478,X0)
| ~ c1_2(a478,X0)
| ~ c4_1(X1)
| ~ c1_1(X1)
| ~ ndr1_1(a478)
| c2_1(X1)
| sP1 ),
inference(renaming,[status(thm)],[c_202]) ).
cnf(c_205,plain,
( ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_1(X0)
| ndr1_1(a480)
| c5_0 ),
inference(global_subsumption_just,[status(thm)],[c_99,c_110,c_73,c_99]) ).
cnf(c_206,negated_conjecture,
( ~ c5_2(X0,X1)
| ~ c5_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_1(X0)
| ndr1_1(a480)
| c5_0 ),
inference(renaming,[status(thm)],[c_205]) ).
cnf(c_207,plain,
( ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,X2)
| c1_2(a480,a481)
| c2_1(X0)
| c5_0 ),
inference(global_subsumption_just,[status(thm)],[c_97,c_110,c_73,c_97]) ).
cnf(c_208,negated_conjecture,
( ~ c5_2(X0,X1)
| ~ c5_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X2)
| c1_2(a480,a481)
| c2_1(X0)
| c5_0 ),
inference(renaming,[status(thm)],[c_207]) ).
cnf(c_209,plain,
( ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_2(a480,a481)
| c2_1(X0)
| c5_0 ),
inference(global_subsumption_just,[status(thm)],[c_96,c_110,c_73,c_96]) ).
cnf(c_210,negated_conjecture,
( ~ c5_2(X0,X1)
| ~ c5_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_2(a480,a481)
| c2_1(X0)
| c5_0 ),
inference(renaming,[status(thm)],[c_209]) ).
cnf(c_211,plain,
( ~ c5_1(a480)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_1(X0)
| c5_0 ),
inference(global_subsumption_just,[status(thm)],[c_95,c_110,c_73,c_95]) ).
cnf(c_212,negated_conjecture,
( ~ c5_2(X0,X1)
| ~ c5_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_1(a480)
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_1(X0)
| c5_0 ),
inference(renaming,[status(thm)],[c_211]) ).
cnf(c_213,plain,
( ~ ndr1_1(X0)
| ~ c4_2(a480,a481)
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_1(X0)
| c5_0 ),
inference(global_subsumption_just,[status(thm)],[c_98,c_110,c_73,c_98]) ).
cnf(c_214,negated_conjecture,
( ~ c5_2(X0,X1)
| ~ c5_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ c4_2(a480,a481)
| ~ ndr1_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X2)
| c2_1(X0)
| c5_0 ),
inference(renaming,[status(thm)],[c_213]) ).
cnf(c_215,plain,
( ~ c2_1(X3)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| ndr1_1(X3)
| c4_1(X0)
| c1_1(X3) ),
inference(global_subsumption_just,[status(thm)],[c_94,c_110,c_73,c_94]) ).
cnf(c_216,negated_conjecture,
( ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X3)
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| ndr1_1(X3)
| c4_1(X0)
| c1_1(X3) ),
inference(renaming,[status(thm)],[c_215]) ).
cnf(c_217,plain,
( ~ c2_1(X3)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| c3_2(X3,a482)
| c4_1(X0)
| c1_1(X3) ),
inference(global_subsumption_just,[status(thm)],[c_93,c_110,c_73,c_93]) ).
cnf(c_218,negated_conjecture,
( ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X3)
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| c3_2(X3,a482)
| c4_1(X0)
| c1_1(X3) ),
inference(renaming,[status(thm)],[c_217]) ).
cnf(c_219,plain,
( ~ c2_1(X3)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| c1_2(X3,a482)
| c4_1(X0)
| c1_1(X3) ),
inference(global_subsumption_just,[status(thm)],[c_92,c_110,c_73,c_92]) ).
cnf(c_220,negated_conjecture,
( ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X3)
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| c1_2(X3,a482)
| c4_1(X0)
| c1_1(X3) ),
inference(renaming,[status(thm)],[c_219]) ).
cnf(c_221,plain,
( ~ c2_1(X3)
| ~ ndr1_1(X0)
| ~ c4_2(X3,a482)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| c4_1(X0)
| c1_1(X3) ),
inference(global_subsumption_just,[status(thm)],[c_91,c_91,c_139]) ).
cnf(c_222,negated_conjecture,
( ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1)
| ~ c4_2(X3,a482)
| ~ ndr1_1(X0)
| ~ c2_1(X3)
| ~ c3_0
| c5_2(X0,X2)
| c1_2(X0,X2)
| c4_1(X0)
| c1_1(X3) ),
inference(renaming,[status(thm)],[c_221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN534+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 21:29:38 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.56/1.16 % SZS status Started for theBenchmark.p
% 1.56/1.16 % SZS status CounterSatisfiable for theBenchmark.p
% 1.56/1.16
% 1.56/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.56/1.16
% 1.56/1.16 ------ iProver source info
% 1.56/1.16
% 1.56/1.16 git: date: 2023-05-31 18:12:56 +0000
% 1.56/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.56/1.16 git: non_committed_changes: false
% 1.56/1.16 git: last_make_outside_of_git: false
% 1.56/1.16
% 1.56/1.16 ------ Parsing...
% 1.56/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_non_eq
% 1.56/1.16
% 1.56/1.16
% 1.56/1.16 ------ Preprocessing... sf_s rm: 59 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.56/1.16
% 1.56/1.16 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 1.56/1.16 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.56/1.16 ------ Proving...
% 1.56/1.16 ------ Problem Properties
% 1.56/1.16
% 1.56/1.16
% 1.56/1.16 clauses 0
% 1.56/1.16 conjectures 0
% 1.56/1.16 EPR 0
% 1.56/1.16 Horn 0
% 1.56/1.16 unary 0
% 1.56/1.16 binary 0
% 1.56/1.16 lits 0
% 1.56/1.16 lits eq 0
% 1.56/1.16 fd_pure 0
% 1.56/1.16 fd_pseudo 0
% 1.56/1.16 fd_cond 0
% 1.56/1.16 fd_pseudo_cond 0
% 1.56/1.16 AC symbols 0
% 1.56/1.16
% 1.56/1.16 ------ Schedule EPR Horn non eq is on
% 1.56/1.16
% 1.56/1.16 ------ no conjectures: strip conj schedule
% 1.56/1.16
% 1.56/1.16 ------ no equalities: superposition off
% 1.56/1.16
% 1.56/1.16 ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.56/1.16
% 1.56/1.16
% 1.56/1.16
% 1.56/1.16
% 1.56/1.16 % SZS status CounterSatisfiable for theBenchmark.p
% 1.56/1.16
% 1.56/1.16 % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.56/1.16
% 1.56/1.16
%------------------------------------------------------------------------------