TSTP Solution File: LCL668+1.001 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.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 Aug 22 10:48:42 EDT 2023
% Result : Theorem 13.26s 4.61s
% Output : CNFRefutation 13.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 31
% Syntax : Number of formulae : 168 ( 40 unt; 29 typ; 0 def)
% Number of atoms : 705 ( 0 equ)
% Maximal formula atoms : 84 ( 5 avg)
% Number of connectives : 1214 ( 648 ~; 546 |; 20 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 15 >; 7 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-4 aty)
% Number of variables : 485 (; 484 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r1 > p8 > p7 > p6 > p5 > p4 > p3 > p2 > p12 > p10 > p1 > #nlpp > #skF_9 > #skF_18 > #skF_17 > #skF_15 > #skF_7 > #skF_12 > #skF_16 > #skF_14 > #skF_5 > #skF_6 > #skF_13 > #skF_2 > #skF_10 > #skF_3 > #skF_1 > #skF_11 > #skF_8 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff(p12,type,
p12: $i > $o ).
tff(p3,type,
p3: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(p8,type,
p8: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(p5,type,
p5: $i > $o ).
tff(p4,type,
p4: $i > $o ).
tff(p6,type,
p6: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(r1,type,
r1: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff(p2,type,
p2: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(p7,type,
p7: $i > $o ).
tff(p10,type,
p10: $i > $o ).
tff(p1,type,
p1: $i > $o ).
tff(f_30,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
tff(f_331,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( p6(X)
& p5(X)
& p4(X)
& p3(X)
& p2(X)
& p1(X) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
tff(c_2,plain,
! [X_1] : r1(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_34,plain,
r1('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_32,plain,
r1('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_30,plain,
r1('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_28,plain,
r1('#skF_4','#skF_5'),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_6238,plain,
! [Y_4078,X_4084,Y_4083,X_4082,Y_4079,X_4081,Y_4080,X_4077] :
( p4(X_4077)
| p3(X_4077)
| ~ r1(Y_4080,X_4077)
| ~ r1(X_4082,Y_4080)
| ~ r1(Y_4079,X_4082)
| ~ r1(X_4081,Y_4079)
| ~ r1(Y_4083,X_4081)
| ~ r1(X_4084,Y_4083)
| ~ r1(Y_4078,X_4084)
| ~ r1('#skF_1',Y_4078) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_6282,plain,
! [Y_4078,X_4084,Y_4083,X_4082,Y_4079,X_4081] :
( p4('#skF_5')
| p3('#skF_5')
| ~ r1(X_4082,'#skF_4')
| ~ r1(Y_4079,X_4082)
| ~ r1(X_4081,Y_4079)
| ~ r1(Y_4083,X_4081)
| ~ r1(X_4084,Y_4083)
| ~ r1(Y_4078,X_4084)
| ~ r1('#skF_1',Y_4078) ),
inference(resolution,[status(thm)],[c_28,c_6238]) ).
tff(c_7240,plain,
! [Y_4241,X_4240,Y_4239,X_4237,X_4238,Y_4242] :
( ~ r1(X_4238,'#skF_4')
| ~ r1(Y_4239,X_4238)
| ~ r1(X_4237,Y_4239)
| ~ r1(Y_4241,X_4237)
| ~ r1(X_4240,Y_4241)
| ~ r1(Y_4242,X_4240)
| ~ r1('#skF_1',Y_4242) ),
inference(splitLeft,[status(thm)],[c_6282]) ).
tff(c_7248,plain,
! [Y_4247,Y_4245,X_4243,Y_4244,X_4246] :
( ~ r1(Y_4247,'#skF_3')
| ~ r1(X_4243,Y_4247)
| ~ r1(Y_4244,X_4243)
| ~ r1(X_4246,Y_4244)
| ~ r1(Y_4245,X_4246)
| ~ r1('#skF_1',Y_4245) ),
inference(resolution,[status(thm)],[c_30,c_7240]) ).
tff(c_7256,plain,
! [X_4248,Y_4249,X_4250,Y_4251] :
( ~ r1(X_4248,'#skF_3')
| ~ r1(Y_4249,X_4248)
| ~ r1(X_4250,Y_4249)
| ~ r1(Y_4251,X_4250)
| ~ r1('#skF_1',Y_4251) ),
inference(resolution,[status(thm)],[c_2,c_7248]) ).
tff(c_7264,plain,
! [Y_4252,X_4253,Y_4254] :
( ~ r1(Y_4252,'#skF_3')
| ~ r1(X_4253,Y_4252)
| ~ r1(Y_4254,X_4253)
| ~ r1('#skF_1',Y_4254) ),
inference(resolution,[status(thm)],[c_2,c_7256]) ).
tff(c_7272,plain,
! [X_4255,Y_4256] :
( ~ r1(X_4255,'#skF_3')
| ~ r1(Y_4256,X_4255)
| ~ r1('#skF_1',Y_4256) ),
inference(resolution,[status(thm)],[c_2,c_7264]) ).
tff(c_7281,plain,
! [Y_4257] :
( ~ r1(Y_4257,'#skF_3')
| ~ r1('#skF_1',Y_4257) ),
inference(resolution,[status(thm)],[c_2,c_7272]) ).
tff(c_7286,plain,
~ r1('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_32,c_7281]) ).
tff(c_7291,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_7286]) ).
tff(c_7292,plain,
( p3('#skF_5')
| p4('#skF_5') ),
inference(splitRight,[status(thm)],[c_6282]) ).
tff(c_7298,plain,
p4('#skF_5'),
inference(splitLeft,[status(thm)],[c_7292]) ).
tff(c_82,plain,
! [Y_2825,X_2821,X_2824,X_2819,X_2823,Y_2820,Y_2822,Y_2818] :
( p1(X_2824)
| p5(X_2824)
| ~ r1(Y_2820,X_2824)
| ~ r1(X_2823,Y_2820)
| ~ r1(Y_2822,X_2823)
| ~ r1(X_2819,Y_2822)
| ~ r1(Y_2825,X_2819)
| ~ r1(X_2821,Y_2825)
| ~ r1(Y_2818,X_2821)
| ~ r1('#skF_1',Y_2818) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_4583,plain,
! [X_3785,X_3788,X_3782,Y_3783,Y_3787,X_3786,Y_3784] :
( p1(X_3786)
| p5(X_3786)
| ~ r1(X_3788,X_3786)
| ~ r1(Y_3787,X_3788)
| ~ r1(X_3785,Y_3787)
| ~ r1(Y_3783,X_3785)
| ~ r1(X_3782,Y_3783)
| ~ r1(Y_3784,X_3782)
| ~ r1('#skF_1',Y_3784) ),
inference(resolution,[status(thm)],[c_2,c_82]) ).
tff(c_4629,plain,
! [X_3785,X_3782,Y_3783,Y_3787,Y_3784] :
( p1('#skF_5')
| p5('#skF_5')
| ~ r1(Y_3787,'#skF_4')
| ~ r1(X_3785,Y_3787)
| ~ r1(Y_3783,X_3785)
| ~ r1(X_3782,Y_3783)
| ~ r1(Y_3784,X_3782)
| ~ r1('#skF_1',Y_3784) ),
inference(resolution,[status(thm)],[c_28,c_4583]) ).
tff(c_5319,plain,
! [X_3925,Y_3922,Y_3924,X_3923,Y_3921] :
( ~ r1(Y_3922,'#skF_4')
| ~ r1(X_3923,Y_3922)
| ~ r1(Y_3921,X_3923)
| ~ r1(X_3925,Y_3921)
| ~ r1(Y_3924,X_3925)
| ~ r1('#skF_1',Y_3924) ),
inference(splitLeft,[status(thm)],[c_4629]) ).
tff(c_5327,plain,
! [X_3926,Y_3927,X_3928,Y_3929] :
( ~ r1(X_3926,'#skF_3')
| ~ r1(Y_3927,X_3926)
| ~ r1(X_3928,Y_3927)
| ~ r1(Y_3929,X_3928)
| ~ r1('#skF_1',Y_3929) ),
inference(resolution,[status(thm)],[c_30,c_5319]) ).
tff(c_5335,plain,
! [Y_3930,X_3931,Y_3932] :
( ~ r1(Y_3930,'#skF_3')
| ~ r1(X_3931,Y_3930)
| ~ r1(Y_3932,X_3931)
| ~ r1('#skF_1',Y_3932) ),
inference(resolution,[status(thm)],[c_2,c_5327]) ).
tff(c_5400,plain,
! [X_3941,Y_3942] :
( ~ r1(X_3941,'#skF_2')
| ~ r1(Y_3942,X_3941)
| ~ r1('#skF_1',Y_3942) ),
inference(resolution,[status(thm)],[c_32,c_5335]) ).
tff(c_5408,plain,
! [Y_3943] :
( ~ r1(Y_3943,'#skF_1')
| ~ r1('#skF_1',Y_3943) ),
inference(resolution,[status(thm)],[c_34,c_5400]) ).
tff(c_5411,plain,
~ r1('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2,c_5408]) ).
tff(c_5415,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5411]) ).
tff(c_5416,plain,
( p5('#skF_5')
| p1('#skF_5') ),
inference(splitRight,[status(thm)],[c_4629]) ).
tff(c_5417,plain,
p1('#skF_5'),
inference(splitLeft,[status(thm)],[c_5416]) ).
tff(c_6314,plain,
! [Y_4095,X_4093,X_4096,Y_4092,Y_4097,X_4091,Y_4098,X_4094] :
( ~ p1(X_4094)
| ~ p2(X_4094)
| ~ r1(Y_4097,X_4094)
| ~ r1(X_4093,Y_4097)
| ~ r1(Y_4098,X_4093)
| ~ r1(X_4091,Y_4098)
| ~ r1(Y_4095,X_4091)
| ~ r1(X_4096,Y_4095)
| ~ r1(Y_4092,X_4096)
| ~ r1('#skF_1',Y_4092) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_6330,plain,
! [Y_4095,X_4093,X_4096,Y_4092,X_4091,Y_4098] :
( ~ p1('#skF_5')
| ~ p2('#skF_5')
| ~ r1(X_4093,'#skF_4')
| ~ r1(Y_4098,X_4093)
| ~ r1(X_4091,Y_4098)
| ~ r1(Y_4095,X_4091)
| ~ r1(X_4096,Y_4095)
| ~ r1(Y_4092,X_4096)
| ~ r1('#skF_1',Y_4092) ),
inference(resolution,[status(thm)],[c_28,c_6314]) ).
tff(c_6364,plain,
! [Y_4095,X_4093,X_4096,Y_4092,X_4091,Y_4098] :
( ~ p2('#skF_5')
| ~ r1(X_4093,'#skF_4')
| ~ r1(Y_4098,X_4093)
| ~ r1(X_4091,Y_4098)
| ~ r1(Y_4095,X_4091)
| ~ r1(X_4096,Y_4095)
| ~ r1(Y_4092,X_4096)
| ~ r1('#skF_1',Y_4092) ),
inference(demodulation,[status(thm),theory(equality)],[c_5417,c_6330]) ).
tff(c_7388,plain,
~ p2('#skF_5'),
inference(splitLeft,[status(thm)],[c_6364]) ).
tff(c_5781,plain,
! [X_4012,X_4019,Y_4015,Y_4018,Y_4014,Y_4013,X_4016,X_4017] :
( ~ p2(X_4016)
| ~ p3(X_4016)
| ~ r1(Y_4014,X_4016)
| ~ r1(X_4017,Y_4014)
| ~ r1(Y_4015,X_4017)
| ~ r1(X_4012,Y_4015)
| ~ r1(Y_4018,X_4012)
| ~ r1(X_4019,Y_4018)
| ~ r1(Y_4013,X_4019)
| ~ r1('#skF_1',Y_4013) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_5825,plain,
! [X_4012,X_4019,Y_4015,Y_4018,Y_4013,X_4017] :
( ~ p2('#skF_5')
| ~ p3('#skF_5')
| ~ r1(X_4017,'#skF_4')
| ~ r1(Y_4015,X_4017)
| ~ r1(X_4012,Y_4015)
| ~ r1(Y_4018,X_4012)
| ~ r1(X_4019,Y_4018)
| ~ r1(Y_4013,X_4019)
| ~ r1('#skF_1',Y_4013) ),
inference(resolution,[status(thm)],[c_28,c_5781]) ).
tff(c_7385,plain,
~ p3('#skF_5'),
inference(splitLeft,[status(thm)],[c_5825]) ).
tff(c_6078,plain,
! [X_4061,Y_4058,X_4056,Y_4059,X_4063,Y_4062,X_4060,Y_4057] :
( p3(X_4060)
| p2(X_4060)
| ~ r1(Y_4058,X_4060)
| ~ r1(X_4061,Y_4058)
| ~ r1(Y_4059,X_4061)
| ~ r1(X_4056,Y_4059)
| ~ r1(Y_4062,X_4056)
| ~ r1(X_4063,Y_4062)
| ~ r1(Y_4057,X_4063)
| ~ r1('#skF_1',Y_4057) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_9241,plain,
! [X_4566,X_4567,Y_4571,Y_4570,X_4569,Y_4565,X_4568] :
( p3(X_4567)
| p2(X_4567)
| ~ r1(X_4569,X_4567)
| ~ r1(Y_4570,X_4569)
| ~ r1(X_4566,Y_4570)
| ~ r1(Y_4571,X_4566)
| ~ r1(X_4568,Y_4571)
| ~ r1(Y_4565,X_4568)
| ~ r1('#skF_1',Y_4565) ),
inference(resolution,[status(thm)],[c_2,c_6078]) ).
tff(c_9257,plain,
! [X_4566,Y_4571,Y_4570,Y_4565,X_4568] :
( p3('#skF_5')
| p2('#skF_5')
| ~ r1(Y_4570,'#skF_4')
| ~ r1(X_4566,Y_4570)
| ~ r1(Y_4571,X_4566)
| ~ r1(X_4568,Y_4571)
| ~ r1(Y_4565,X_4568)
| ~ r1('#skF_1',Y_4565) ),
inference(resolution,[status(thm)],[c_28,c_9241]) ).
tff(c_9322,plain,
! [Y_4572,X_4573,Y_4575,Y_4574,X_4576] :
( ~ r1(Y_4572,'#skF_4')
| ~ r1(X_4576,Y_4572)
| ~ r1(Y_4575,X_4576)
| ~ r1(X_4573,Y_4575)
| ~ r1(Y_4574,X_4573)
| ~ r1('#skF_1',Y_4574) ),
inference(negUnitSimplification,[status(thm)],[c_7388,c_7385,c_9257]) ).
tff(c_9330,plain,
! [X_4577,Y_4578,X_4579,Y_4580] :
( ~ r1(X_4577,'#skF_3')
| ~ r1(Y_4578,X_4577)
| ~ r1(X_4579,Y_4578)
| ~ r1(Y_4580,X_4579)
| ~ r1('#skF_1',Y_4580) ),
inference(resolution,[status(thm)],[c_30,c_9322]) ).
tff(c_9338,plain,
! [Y_4581,X_4582,Y_4583] :
( ~ r1(Y_4581,'#skF_3')
| ~ r1(X_4582,Y_4581)
| ~ r1(Y_4583,X_4582)
| ~ r1('#skF_1',Y_4583) ),
inference(resolution,[status(thm)],[c_2,c_9330]) ).
tff(c_9346,plain,
! [X_4584,Y_4585] :
( ~ r1(X_4584,'#skF_2')
| ~ r1(Y_4585,X_4584)
| ~ r1('#skF_1',Y_4585) ),
inference(resolution,[status(thm)],[c_32,c_9338]) ).
tff(c_9354,plain,
! [Y_4586] :
( ~ r1(Y_4586,'#skF_1')
| ~ r1('#skF_1',Y_4586) ),
inference(resolution,[status(thm)],[c_34,c_9346]) ).
tff(c_9357,plain,
~ r1('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2,c_9354]) ).
tff(c_9361,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9357]) ).
tff(c_9364,plain,
! [X_4590,Y_4587,X_4591,X_4592,Y_4589,Y_4588] :
( ~ r1(X_4591,'#skF_4')
| ~ r1(Y_4588,X_4591)
| ~ r1(X_4590,Y_4588)
| ~ r1(Y_4587,X_4590)
| ~ r1(X_4592,Y_4587)
| ~ r1(Y_4589,X_4592)
| ~ r1('#skF_1',Y_4589) ),
inference(splitRight,[status(thm)],[c_6364]) ).
tff(c_9372,plain,
! [X_4594,Y_4597,Y_4593,X_4596,Y_4595] :
( ~ r1(Y_4593,'#skF_3')
| ~ r1(X_4594,Y_4593)
| ~ r1(Y_4595,X_4594)
| ~ r1(X_4596,Y_4595)
| ~ r1(Y_4597,X_4596)
| ~ r1('#skF_1',Y_4597) ),
inference(resolution,[status(thm)],[c_30,c_9364]) ).
tff(c_9380,plain,
! [X_4598,Y_4599,X_4600,Y_4601] :
( ~ r1(X_4598,'#skF_3')
| ~ r1(Y_4599,X_4598)
| ~ r1(X_4600,Y_4599)
| ~ r1(Y_4601,X_4600)
| ~ r1('#skF_1',Y_4601) ),
inference(resolution,[status(thm)],[c_2,c_9372]) ).
tff(c_9459,plain,
! [Y_4609,X_4610,Y_4611] :
( ~ r1(Y_4609,'#skF_3')
| ~ r1(X_4610,Y_4609)
| ~ r1(Y_4611,X_4610)
| ~ r1('#skF_1',Y_4611) ),
inference(resolution,[status(thm)],[c_2,c_9380]) ).
tff(c_9467,plain,
! [X_4612,Y_4613] :
( ~ r1(X_4612,'#skF_3')
| ~ r1(Y_4613,X_4612)
| ~ r1('#skF_1',Y_4613) ),
inference(resolution,[status(thm)],[c_2,c_9459]) ).
tff(c_9475,plain,
! [Y_4614] :
( ~ r1(Y_4614,'#skF_3')
| ~ r1('#skF_1',Y_4614) ),
inference(resolution,[status(thm)],[c_2,c_9467]) ).
tff(c_9480,plain,
~ r1('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_32,c_9475]) ).
tff(c_9485,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_9480]) ).
tff(c_9487,plain,
p3('#skF_5'),
inference(splitRight,[status(thm)],[c_5825]) ).
tff(c_6534,plain,
! [X_4121,X_4124,Y_4120,X_4117,Y_4118,Y_4123,X_4122,Y_4119] :
( ~ p3(X_4117)
| ~ p4(X_4117)
| ~ r1(Y_4120,X_4117)
| ~ r1(X_4122,Y_4120)
| ~ r1(Y_4119,X_4122)
| ~ r1(X_4121,Y_4119)
| ~ r1(Y_4123,X_4121)
| ~ r1(X_4124,Y_4123)
| ~ r1(Y_4118,X_4124)
| ~ r1('#skF_1',Y_4118) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_12335,plain,
! [Y_4970,X_4967,Y_4971,X_4968,X_4969,Y_4966,X_4965] :
( ~ p3(X_4968)
| ~ p4(X_4968)
| ~ r1(X_4965,X_4968)
| ~ r1(Y_4970,X_4965)
| ~ r1(X_4967,Y_4970)
| ~ r1(Y_4971,X_4967)
| ~ r1(X_4969,Y_4971)
| ~ r1(Y_4966,X_4969)
| ~ r1('#skF_1',Y_4966) ),
inference(resolution,[status(thm)],[c_2,c_6534]) ).
tff(c_12351,plain,
! [Y_4970,X_4967,Y_4971,X_4969,Y_4966] :
( ~ p3('#skF_5')
| ~ p4('#skF_5')
| ~ r1(Y_4970,'#skF_4')
| ~ r1(X_4967,Y_4970)
| ~ r1(Y_4971,X_4967)
| ~ r1(X_4969,Y_4971)
| ~ r1(Y_4966,X_4969)
| ~ r1('#skF_1',Y_4966) ),
inference(resolution,[status(thm)],[c_28,c_12335]) ).
tff(c_12396,plain,
! [Y_4974,X_4973,Y_4976,X_4975,Y_4972] :
( ~ r1(Y_4976,'#skF_4')
| ~ r1(X_4975,Y_4976)
| ~ r1(Y_4974,X_4975)
| ~ r1(X_4973,Y_4974)
| ~ r1(Y_4972,X_4973)
| ~ r1('#skF_1',Y_4972) ),
inference(demodulation,[status(thm),theory(equality)],[c_7298,c_9487,c_12351]) ).
tff(c_12404,plain,
! [X_4977,Y_4978,X_4979,Y_4980] :
( ~ r1(X_4977,'#skF_3')
| ~ r1(Y_4978,X_4977)
| ~ r1(X_4979,Y_4978)
| ~ r1(Y_4980,X_4979)
| ~ r1('#skF_1',Y_4980) ),
inference(resolution,[status(thm)],[c_30,c_12396]) ).
tff(c_12412,plain,
! [Y_4981,X_4982,Y_4983] :
( ~ r1(Y_4981,'#skF_3')
| ~ r1(X_4982,Y_4981)
| ~ r1(Y_4983,X_4982)
| ~ r1('#skF_1',Y_4983) ),
inference(resolution,[status(thm)],[c_2,c_12404]) ).
tff(c_12420,plain,
! [X_4984,Y_4985] :
( ~ r1(X_4984,'#skF_2')
| ~ r1(Y_4985,X_4984)
| ~ r1('#skF_1',Y_4985) ),
inference(resolution,[status(thm)],[c_32,c_12412]) ).
tff(c_12428,plain,
! [Y_4986] :
( ~ r1(Y_4986,'#skF_1')
| ~ r1('#skF_1',Y_4986) ),
inference(resolution,[status(thm)],[c_34,c_12420]) ).
tff(c_12431,plain,
~ r1('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2,c_12428]) ).
tff(c_12435,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12431]) ).
tff(c_12437,plain,
~ p4('#skF_5'),
inference(splitRight,[status(thm)],[c_7292]) ).
tff(c_6149,plain,
! [Y_4066,X_4067,X_4072,Y_4070,X_4071,Y_4068,Y_4073,X_4069] :
( ~ p5(X_4072)
| ~ p1(X_4072)
| ~ r1(Y_4068,X_4072)
| ~ r1(X_4071,Y_4068)
| ~ r1(Y_4070,X_4071)
| ~ r1(X_4067,Y_4070)
| ~ r1(Y_4073,X_4067)
| ~ r1(X_4069,Y_4073)
| ~ r1(Y_4066,X_4069)
| ~ r1('#skF_1',Y_4066) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_6165,plain,
! [Y_4066,X_4067,Y_4070,X_4071,Y_4073,X_4069] :
( ~ p5('#skF_5')
| ~ p1('#skF_5')
| ~ r1(X_4071,'#skF_4')
| ~ r1(Y_4070,X_4071)
| ~ r1(X_4067,Y_4070)
| ~ r1(Y_4073,X_4067)
| ~ r1(X_4069,Y_4073)
| ~ r1(Y_4066,X_4069)
| ~ r1('#skF_1',Y_4066) ),
inference(resolution,[status(thm)],[c_28,c_6149]) ).
tff(c_6201,plain,
! [Y_4066,X_4067,Y_4070,X_4071,Y_4073,X_4069] :
( ~ p5('#skF_5')
| ~ r1(X_4071,'#skF_4')
| ~ r1(Y_4070,X_4071)
| ~ r1(X_4067,Y_4070)
| ~ r1(Y_4073,X_4067)
| ~ r1(X_4069,Y_4073)
| ~ r1(Y_4066,X_4069)
| ~ r1('#skF_1',Y_4066) ),
inference(demodulation,[status(thm),theory(equality)],[c_5417,c_6165]) ).
tff(c_13703,plain,
~ p5('#skF_5'),
inference(splitLeft,[status(thm)],[c_6201]) ).
tff(c_6833,plain,
! [Y_4144,X_4143,X_4146,Y_4139,X_4142,X_4141,Y_4140,Y_4145] :
( p5(X_4146)
| p4(X_4146)
| ~ r1(Y_4145,X_4146)
| ~ r1(X_4142,Y_4145)
| ~ r1(Y_4144,X_4142)
| ~ r1(X_4141,Y_4144)
| ~ r1(Y_4139,X_4141)
| ~ r1(X_4143,Y_4139)
| ~ r1(Y_4140,X_4143)
| ~ r1('#skF_1',Y_4140) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_14669,plain,
! [Y_5325,X_5330,X_5329,X_5326,X_5328,Y_5327,Y_5331] :
( p5(X_5329)
| p4(X_5329)
| ~ r1(X_5328,X_5329)
| ~ r1(Y_5325,X_5328)
| ~ r1(X_5330,Y_5325)
| ~ r1(Y_5331,X_5330)
| ~ r1(X_5326,Y_5331)
| ~ r1(Y_5327,X_5326)
| ~ r1('#skF_1',Y_5327) ),
inference(resolution,[status(thm)],[c_2,c_6833]) ).
tff(c_14685,plain,
! [Y_5325,X_5330,X_5326,Y_5327,Y_5331] :
( p5('#skF_5')
| p4('#skF_5')
| ~ r1(Y_5325,'#skF_4')
| ~ r1(X_5330,Y_5325)
| ~ r1(Y_5331,X_5330)
| ~ r1(X_5326,Y_5331)
| ~ r1(Y_5327,X_5326)
| ~ r1('#skF_1',Y_5327) ),
inference(resolution,[status(thm)],[c_28,c_14669]) ).
tff(c_14749,plain,
! [X_5332,Y_5335,X_5336,Y_5334,Y_5333] :
( ~ r1(Y_5334,'#skF_4')
| ~ r1(X_5332,Y_5334)
| ~ r1(Y_5333,X_5332)
| ~ r1(X_5336,Y_5333)
| ~ r1(Y_5335,X_5336)
| ~ r1('#skF_1',Y_5335) ),
inference(negUnitSimplification,[status(thm)],[c_12437,c_13703,c_14685]) ).
tff(c_14757,plain,
! [X_5337,Y_5338,X_5339,Y_5340] :
( ~ r1(X_5337,'#skF_3')
| ~ r1(Y_5338,X_5337)
| ~ r1(X_5339,Y_5338)
| ~ r1(Y_5340,X_5339)
| ~ r1('#skF_1',Y_5340) ),
inference(resolution,[status(thm)],[c_30,c_14749]) ).
tff(c_14765,plain,
! [Y_5341,X_5342,Y_5343] :
( ~ r1(Y_5341,'#skF_3')
| ~ r1(X_5342,Y_5341)
| ~ r1(Y_5343,X_5342)
| ~ r1('#skF_1',Y_5343) ),
inference(resolution,[status(thm)],[c_2,c_14757]) ).
tff(c_14773,plain,
! [X_5344,Y_5345] :
( ~ r1(X_5344,'#skF_3')
| ~ r1(Y_5345,X_5344)
| ~ r1('#skF_1',Y_5345) ),
inference(resolution,[status(thm)],[c_2,c_14765]) ).
tff(c_14781,plain,
! [Y_5346] :
( ~ r1(Y_5346,'#skF_3')
| ~ r1('#skF_1',Y_5346) ),
inference(resolution,[status(thm)],[c_2,c_14773]) ).
tff(c_14786,plain,
~ r1('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_32,c_14781]) ).
tff(c_14791,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_14786]) ).
tff(c_14834,plain,
! [X_5375,Y_5376,X_5374,Y_5377,Y_5372,X_5373] :
( ~ r1(X_5374,'#skF_4')
| ~ r1(Y_5376,X_5374)
| ~ r1(X_5375,Y_5376)
| ~ r1(Y_5377,X_5375)
| ~ r1(X_5373,Y_5377)
| ~ r1(Y_5372,X_5373)
| ~ r1('#skF_1',Y_5372) ),
inference(splitRight,[status(thm)],[c_6201]) ).
tff(c_14842,plain,
! [Y_5381,Y_5378,X_5382,X_5379,Y_5380] :
( ~ r1(Y_5378,'#skF_3')
| ~ r1(X_5379,Y_5378)
| ~ r1(Y_5381,X_5379)
| ~ r1(X_5382,Y_5381)
| ~ r1(Y_5380,X_5382)
| ~ r1('#skF_1',Y_5380) ),
inference(resolution,[status(thm)],[c_30,c_14834]) ).
tff(c_14850,plain,
! [X_5383,Y_5384,X_5385,Y_5386] :
( ~ r1(X_5383,'#skF_2')
| ~ r1(Y_5384,X_5383)
| ~ r1(X_5385,Y_5384)
| ~ r1(Y_5386,X_5385)
| ~ r1('#skF_1',Y_5386) ),
inference(resolution,[status(thm)],[c_32,c_14842]) ).
tff(c_14858,plain,
! [Y_5387,X_5388,Y_5389] :
( ~ r1(Y_5387,'#skF_1')
| ~ r1(X_5388,Y_5387)
| ~ r1(Y_5389,X_5388)
| ~ r1('#skF_1',Y_5389) ),
inference(resolution,[status(thm)],[c_34,c_14850]) ).
tff(c_14863,plain,
! [X_5390,Y_5391] :
( ~ r1(X_5390,'#skF_1')
| ~ r1(Y_5391,X_5390)
| ~ r1('#skF_1',Y_5391) ),
inference(resolution,[status(thm)],[c_2,c_14858]) ).
tff(c_14868,plain,
! [Y_5392] :
( ~ r1(Y_5392,'#skF_1')
| ~ r1('#skF_1',Y_5392) ),
inference(resolution,[status(thm)],[c_2,c_14863]) ).
tff(c_14871,plain,
~ r1('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2,c_14868]) ).
tff(c_14875,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14871]) ).
tff(c_14877,plain,
~ p1('#skF_5'),
inference(splitRight,[status(thm)],[c_5416]) ).
tff(c_15432,plain,
! [X_5492,Y_5493,Y_5488,Y_5494,X_5487,X_5490,Y_5491,X_5489] :
( p2(X_5490)
| p1(X_5490)
| ~ r1(Y_5493,X_5490)
| ~ r1(X_5489,Y_5493)
| ~ r1(Y_5494,X_5489)
| ~ r1(X_5487,Y_5494)
| ~ r1(Y_5491,X_5487)
| ~ r1(X_5492,Y_5491)
| ~ r1(Y_5488,X_5492)
| ~ r1('#skF_1',Y_5488) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_15448,plain,
! [X_5492,Y_5488,Y_5494,X_5487,Y_5491,X_5489] :
( p2('#skF_5')
| p1('#skF_5')
| ~ r1(X_5489,'#skF_4')
| ~ r1(Y_5494,X_5489)
| ~ r1(X_5487,Y_5494)
| ~ r1(Y_5491,X_5487)
| ~ r1(X_5492,Y_5491)
| ~ r1(Y_5488,X_5492)
| ~ r1('#skF_1',Y_5488) ),
inference(resolution,[status(thm)],[c_28,c_15432]) ).
tff(c_15482,plain,
! [X_5492,Y_5488,Y_5494,X_5487,Y_5491,X_5489] :
( p2('#skF_5')
| ~ r1(X_5489,'#skF_4')
| ~ r1(Y_5494,X_5489)
| ~ r1(X_5487,Y_5494)
| ~ r1(Y_5491,X_5487)
| ~ r1(X_5492,Y_5491)
| ~ r1(Y_5488,X_5492)
| ~ r1('#skF_1',Y_5488) ),
inference(negUnitSimplification,[status(thm)],[c_14877,c_15448]) ).
tff(c_16578,plain,
! [X_5653,Y_5656,X_5654,Y_5657,X_5655,Y_5652] :
( ~ r1(X_5653,'#skF_4')
| ~ r1(Y_5657,X_5653)
| ~ r1(X_5655,Y_5657)
| ~ r1(Y_5652,X_5655)
| ~ r1(X_5654,Y_5652)
| ~ r1(Y_5656,X_5654)
| ~ r1('#skF_1',Y_5656) ),
inference(splitLeft,[status(thm)],[c_15482]) ).
tff(c_16587,plain,
! [X_5660,Y_5659,Y_5658,Y_5661,X_5662] :
( ~ r1(Y_5661,'#skF_3')
| ~ r1(X_5660,Y_5661)
| ~ r1(Y_5658,X_5660)
| ~ r1(X_5662,Y_5658)
| ~ r1(Y_5659,X_5662)
| ~ r1('#skF_1',Y_5659) ),
inference(resolution,[status(thm)],[c_30,c_16578]) ).
tff(c_16595,plain,
! [X_5663,Y_5664,X_5665,Y_5666] :
( ~ r1(X_5663,'#skF_2')
| ~ r1(Y_5664,X_5663)
| ~ r1(X_5665,Y_5664)
| ~ r1(Y_5666,X_5665)
| ~ r1('#skF_1',Y_5666) ),
inference(resolution,[status(thm)],[c_32,c_16587]) ).
tff(c_16603,plain,
! [Y_5667,X_5668,Y_5669] :
( ~ r1(Y_5667,'#skF_1')
| ~ r1(X_5668,Y_5667)
| ~ r1(Y_5669,X_5668)
| ~ r1('#skF_1',Y_5669) ),
inference(resolution,[status(thm)],[c_34,c_16595]) ).
tff(c_16608,plain,
! [X_5670,Y_5671] :
( ~ r1(X_5670,'#skF_1')
| ~ r1(Y_5671,X_5670)
| ~ r1('#skF_1',Y_5671) ),
inference(resolution,[status(thm)],[c_2,c_16603]) ).
tff(c_16613,plain,
! [Y_5672] :
( ~ r1(Y_5672,'#skF_1')
| ~ r1('#skF_1',Y_5672) ),
inference(resolution,[status(thm)],[c_2,c_16608]) ).
tff(c_16616,plain,
~ r1('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2,c_16613]) ).
tff(c_16620,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16616]) ).
tff(c_16621,plain,
p2('#skF_5'),
inference(splitRight,[status(thm)],[c_15482]) ).
tff(c_15764,plain,
! [Y_5536,X_5535,Y_5541,X_5542,X_5539,Y_5538,Y_5537,X_5540] :
( ~ p2(X_5539)
| ~ p3(X_5539)
| ~ r1(Y_5537,X_5539)
| ~ r1(X_5540,Y_5537)
| ~ r1(Y_5538,X_5540)
| ~ r1(X_5535,Y_5538)
| ~ r1(Y_5541,X_5535)
| ~ r1(X_5542,Y_5541)
| ~ r1(Y_5536,X_5542)
| ~ r1('#skF_1',Y_5536) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_15808,plain,
! [Y_5536,X_5535,Y_5541,X_5542,Y_5538,X_5540] :
( ~ p2('#skF_5')
| ~ p3('#skF_5')
| ~ r1(X_5540,'#skF_4')
| ~ r1(Y_5538,X_5540)
| ~ r1(X_5535,Y_5538)
| ~ r1(Y_5541,X_5535)
| ~ r1(X_5542,Y_5541)
| ~ r1(Y_5536,X_5542)
| ~ r1('#skF_1',Y_5536) ),
inference(resolution,[status(thm)],[c_28,c_15764]) ).
tff(c_17662,plain,
! [Y_5536,X_5535,Y_5541,X_5542,Y_5538,X_5540] :
( ~ p3('#skF_5')
| ~ r1(X_5540,'#skF_4')
| ~ r1(Y_5538,X_5540)
| ~ r1(X_5535,Y_5538)
| ~ r1(Y_5541,X_5535)
| ~ r1(X_5542,Y_5541)
| ~ r1(Y_5536,X_5542)
| ~ r1('#skF_1',Y_5536) ),
inference(demodulation,[status(thm),theory(equality)],[c_16621,c_15808]) ).
tff(c_17663,plain,
~ p3('#skF_5'),
inference(splitLeft,[status(thm)],[c_17662]) ).
tff(c_16038,plain,
! [Y_5570,Y_5572,X_5576,Y_5571,Y_5575,X_5573,X_5574,X_5569] :
( p4(X_5569)
| p3(X_5569)
| ~ r1(Y_5572,X_5569)
| ~ r1(X_5574,Y_5572)
| ~ r1(Y_5571,X_5574)
| ~ r1(X_5573,Y_5571)
| ~ r1(Y_5575,X_5573)
| ~ r1(X_5576,Y_5575)
| ~ r1(Y_5570,X_5576)
| ~ r1('#skF_1',Y_5570) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_16082,plain,
! [Y_5570,X_5576,Y_5571,Y_5575,X_5573,X_5574] :
( p4('#skF_5')
| p3('#skF_5')
| ~ r1(X_5574,'#skF_4')
| ~ r1(Y_5571,X_5574)
| ~ r1(X_5573,Y_5571)
| ~ r1(Y_5575,X_5573)
| ~ r1(X_5576,Y_5575)
| ~ r1(Y_5570,X_5576)
| ~ r1('#skF_1',Y_5570) ),
inference(resolution,[status(thm)],[c_28,c_16038]) ).
tff(c_18263,plain,
! [Y_5570,X_5576,Y_5571,Y_5575,X_5573,X_5574] :
( p4('#skF_5')
| ~ r1(X_5574,'#skF_4')
| ~ r1(Y_5571,X_5574)
| ~ r1(X_5573,Y_5571)
| ~ r1(Y_5575,X_5573)
| ~ r1(X_5576,Y_5575)
| ~ r1(Y_5570,X_5576)
| ~ r1('#skF_1',Y_5570) ),
inference(negUnitSimplification,[status(thm)],[c_17663,c_16082]) ).
tff(c_18265,plain,
! [X_5918,Y_5915,Y_5919,Y_5914,X_5917,X_5916] :
( ~ r1(X_5916,'#skF_4')
| ~ r1(Y_5914,X_5916)
| ~ r1(X_5918,Y_5914)
| ~ r1(Y_5915,X_5918)
| ~ r1(X_5917,Y_5915)
| ~ r1(Y_5919,X_5917)
| ~ r1('#skF_1',Y_5919) ),
inference(splitLeft,[status(thm)],[c_18263]) ).
tff(c_18273,plain,
! [Y_5920,X_5924,Y_5923,X_5922,Y_5921] :
( ~ r1(Y_5921,'#skF_3')
| ~ r1(X_5924,Y_5921)
| ~ r1(Y_5920,X_5924)
| ~ r1(X_5922,Y_5920)
| ~ r1(Y_5923,X_5922)
| ~ r1('#skF_1',Y_5923) ),
inference(resolution,[status(thm)],[c_30,c_18265]) ).
tff(c_18281,plain,
! [X_5925,Y_5926,X_5927,Y_5928] :
( ~ r1(X_5925,'#skF_3')
| ~ r1(Y_5926,X_5925)
| ~ r1(X_5927,Y_5926)
| ~ r1(Y_5928,X_5927)
| ~ r1('#skF_1',Y_5928) ),
inference(resolution,[status(thm)],[c_2,c_18273]) ).
tff(c_18289,plain,
! [Y_5929,X_5930,Y_5931] :
( ~ r1(Y_5929,'#skF_2')
| ~ r1(X_5930,Y_5929)
| ~ r1(Y_5931,X_5930)
| ~ r1('#skF_1',Y_5931) ),
inference(resolution,[status(thm)],[c_32,c_18281]) ).
tff(c_18297,plain,
! [X_5932,Y_5933] :
( ~ r1(X_5932,'#skF_1')
| ~ r1(Y_5933,X_5932)
| ~ r1('#skF_1',Y_5933) ),
inference(resolution,[status(thm)],[c_34,c_18289]) ).
tff(c_18302,plain,
! [Y_5934] :
( ~ r1(Y_5934,'#skF_1')
| ~ r1('#skF_1',Y_5934) ),
inference(resolution,[status(thm)],[c_2,c_18297]) ).
tff(c_18305,plain,
~ r1('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2,c_18302]) ).
tff(c_18309,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18305]) ).
tff(c_18310,plain,
p4('#skF_5'),
inference(splitRight,[status(thm)],[c_18263]) ).
tff(c_14876,plain,
p5('#skF_5'),
inference(splitRight,[status(thm)],[c_5416]) ).
tff(c_15590,plain,
! [X_5515,X_5519,Y_5513,Y_5517,Y_5518,X_5516,Y_5512,X_5514] :
( ~ p4(X_5519)
| ~ p5(X_5519)
| ~ r1(Y_5518,X_5519)
| ~ r1(X_5515,Y_5518)
| ~ r1(Y_5517,X_5515)
| ~ r1(X_5514,Y_5517)
| ~ r1(Y_5512,X_5514)
| ~ r1(X_5516,Y_5512)
| ~ r1(Y_5513,X_5516)
| ~ r1('#skF_1',Y_5513) ),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_15606,plain,
! [X_5515,Y_5513,Y_5517,X_5516,Y_5512,X_5514] :
( ~ p4('#skF_5')
| ~ p5('#skF_5')
| ~ r1(X_5515,'#skF_4')
| ~ r1(Y_5517,X_5515)
| ~ r1(X_5514,Y_5517)
| ~ r1(Y_5512,X_5514)
| ~ r1(X_5516,Y_5512)
| ~ r1(Y_5513,X_5516)
| ~ r1('#skF_1',Y_5513) ),
inference(resolution,[status(thm)],[c_28,c_15590]) ).
tff(c_15638,plain,
! [X_5515,Y_5513,Y_5517,X_5516,Y_5512,X_5514] :
( ~ p4('#skF_5')
| ~ r1(X_5515,'#skF_4')
| ~ r1(Y_5517,X_5515)
| ~ r1(X_5514,Y_5517)
| ~ r1(Y_5512,X_5514)
| ~ r1(X_5516,Y_5512)
| ~ r1(Y_5513,X_5516)
| ~ r1('#skF_1',Y_5513) ),
inference(demodulation,[status(thm),theory(equality)],[c_14876,c_15606]) ).
tff(c_19145,plain,
! [X_6067,X_6064,X_6066,Y_6065,Y_6063,Y_6068] :
( ~ r1(X_6064,'#skF_4')
| ~ r1(Y_6068,X_6064)
| ~ r1(X_6066,Y_6068)
| ~ r1(Y_6065,X_6066)
| ~ r1(X_6067,Y_6065)
| ~ r1(Y_6063,X_6067)
| ~ r1('#skF_1',Y_6063) ),
inference(demodulation,[status(thm),theory(equality)],[c_18310,c_15638]) ).
tff(c_19153,plain,
! [Y_6071,X_6070,Y_6073,Y_6072,X_6069] :
( ~ r1(Y_6071,'#skF_3')
| ~ r1(X_6070,Y_6071)
| ~ r1(Y_6072,X_6070)
| ~ r1(X_6069,Y_6072)
| ~ r1(Y_6073,X_6069)
| ~ r1('#skF_1',Y_6073) ),
inference(resolution,[status(thm)],[c_30,c_19145]) ).
tff(c_19161,plain,
! [X_6074,Y_6075,X_6076,Y_6077] :
( ~ r1(X_6074,'#skF_3')
| ~ r1(Y_6075,X_6074)
| ~ r1(X_6076,Y_6075)
| ~ r1(Y_6077,X_6076)
| ~ r1('#skF_1',Y_6077) ),
inference(resolution,[status(thm)],[c_2,c_19153]) ).
tff(c_19169,plain,
! [Y_6078,X_6079,Y_6080] :
( ~ r1(Y_6078,'#skF_3')
| ~ r1(X_6079,Y_6078)
| ~ r1(Y_6080,X_6079)
| ~ r1('#skF_1',Y_6080) ),
inference(resolution,[status(thm)],[c_2,c_19161]) ).
tff(c_19177,plain,
! [X_6081,Y_6082] :
( ~ r1(X_6081,'#skF_3')
| ~ r1(Y_6082,X_6081)
| ~ r1('#skF_1',Y_6082) ),
inference(resolution,[status(thm)],[c_2,c_19169]) ).
tff(c_19185,plain,
! [Y_6083] :
( ~ r1(Y_6083,'#skF_3')
| ~ r1('#skF_1',Y_6083) ),
inference(resolution,[status(thm)],[c_2,c_19177]) ).
tff(c_19190,plain,
~ r1('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_32,c_19185]) ).
tff(c_19195,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_19190]) ).
tff(c_19198,plain,
! [Y_6085,X_6089,Y_6086,X_6087,X_6084,Y_6088] :
( ~ r1(X_6087,'#skF_4')
| ~ r1(Y_6085,X_6087)
| ~ r1(X_6089,Y_6085)
| ~ r1(Y_6086,X_6089)
| ~ r1(X_6084,Y_6086)
| ~ r1(Y_6088,X_6084)
| ~ r1('#skF_1',Y_6088) ),
inference(splitRight,[status(thm)],[c_17662]) ).
tff(c_19206,plain,
! [X_6091,X_6092,Y_6093,Y_6090,Y_6094] :
( ~ r1(Y_6090,'#skF_3')
| ~ r1(X_6091,Y_6090)
| ~ r1(Y_6093,X_6091)
| ~ r1(X_6092,Y_6093)
| ~ r1(Y_6094,X_6092)
| ~ r1('#skF_1',Y_6094) ),
inference(resolution,[status(thm)],[c_30,c_19198]) ).
tff(c_19214,plain,
! [X_6095,Y_6096,X_6097,Y_6098] :
( ~ r1(X_6095,'#skF_3')
| ~ r1(Y_6096,X_6095)
| ~ r1(X_6097,Y_6096)
| ~ r1(Y_6098,X_6097)
| ~ r1('#skF_1',Y_6098) ),
inference(resolution,[status(thm)],[c_2,c_19206]) ).
tff(c_19222,plain,
! [Y_6099,X_6100,Y_6101] :
( ~ r1(Y_6099,'#skF_3')
| ~ r1(X_6100,Y_6099)
| ~ r1(Y_6101,X_6100)
| ~ r1('#skF_1',Y_6101) ),
inference(resolution,[status(thm)],[c_2,c_19214]) ).
tff(c_19230,plain,
! [X_6102,Y_6103] :
( ~ r1(X_6102,'#skF_2')
| ~ r1(Y_6103,X_6102)
| ~ r1('#skF_1',Y_6103) ),
inference(resolution,[status(thm)],[c_32,c_19222]) ).
tff(c_19238,plain,
! [Y_6104] :
( ~ r1(Y_6104,'#skF_1')
| ~ r1('#skF_1',Y_6104) ),
inference(resolution,[status(thm)],[c_34,c_19230]) ).
tff(c_19241,plain,
~ r1('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2,c_19238]) ).
tff(c_19245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 13:45:21 EDT 2023
% 0.16/0.37 % CPUTime :
% 13.26/4.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.32/4.63
% 13.32/4.63 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.41/4.68
% 13.41/4.68 Inference rules
% 13.41/4.68 ----------------------
% 13.41/4.68 #Ref : 0
% 13.41/4.68 #Sup : 4773
% 13.41/4.68 #Fact : 0
% 13.41/4.68 #Define : 0
% 13.41/4.68 #Split : 392
% 13.41/4.68 #Chain : 0
% 13.41/4.68 #Close : 0
% 13.41/4.68
% 13.41/4.68 Ordering : KBO
% 13.41/4.68
% 13.41/4.68 Simplification rules
% 13.41/4.68 ----------------------
% 13.41/4.68 #Subsume : 1834
% 13.41/4.68 #Demod : 1363
% 13.41/4.68 #Tautology : 468
% 13.41/4.68 #SimpNegUnit : 294
% 13.41/4.68 #BackRed : 0
% 13.41/4.68
% 13.41/4.68 #Partial instantiations: 0
% 13.41/4.68 #Strategies tried : 1
% 13.41/4.68
% 13.41/4.68 Timing (in seconds)
% 13.41/4.68 ----------------------
% 13.41/4.68 Preprocessing : 0.62
% 13.41/4.68 Parsing : 0.31
% 13.41/4.68 CNF conversion : 0.10
% 13.41/4.68 Main loop : 2.96
% 13.41/4.68 Inferencing : 0.89
% 13.41/4.68 Reduction : 1.00
% 13.41/4.68 Demodulation : 0.79
% 13.41/4.68 BG Simplification : 0.07
% 13.41/4.68 Subsumption : 0.72
% 13.41/4.68 Abstraction : 0.07
% 13.41/4.68 MUC search : 0.00
% 13.41/4.69 Cooper : 0.00
% 13.41/4.69 Total : 3.65
% 13.41/4.69 Index Insertion : 0.00
% 13.41/4.69 Index Deletion : 0.00
% 13.41/4.69 Index Matching : 0.00
% 13.41/4.69 BG Taut test : 0.00
%------------------------------------------------------------------------------