TSTP Solution File: SYN059+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 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 Aug 22 11:09:11 EDT 2023
% Result : Theorem 3.86s 2.06s
% Output : CNFRefutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 366 ( 221 unt; 10 typ; 0 def)
% Number of atoms : 615 ( 0 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 577 ( 318 ~; 252 |; 3 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 182 (; 180 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_j > big_h > big_g > big_f > #nlpp > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(big_h,type,
big_h: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(big_g,type,
big_g: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(big_f,type,
big_f: $i > $o ).
tff(big_j,type,
big_j: $i > $o ).
tff(f_49,negated_conjecture,
~ ( ( ! [X] :
( big_f(X)
=> big_h(X) )
& ! [U] :
( big_g(U)
=> big_j(U) ) )
<=> ! [W,Y] :
( ( big_f(W)
& big_g(Y) )
=> ( big_h(W)
& big_j(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel29) ).
tff(f_28,axiom,
? [X] : big_f(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel29_1) ).
tff(f_30,axiom,
? [Y] : big_g(Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel29_2) ).
tff(c_38,plain,
( big_g('#skF_4')
| big_f('#skF_5')
| big_g('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_67,plain,
big_g('#skF_6'),
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_48,plain,
! [Y_4,W_3] :
( big_g('#skF_4')
| big_j(Y_4)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_74,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_2,plain,
big_f('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_76,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_2]) ).
tff(c_77,plain,
! [Y_4] :
( big_g('#skF_4')
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_78,plain,
big_g('#skF_4'),
inference(splitLeft,[status(thm)],[c_77]) ).
tff(c_52,plain,
! [U_2,Y_4,W_3] :
( big_j(U_2)
| ~ big_g(U_2)
| big_j(Y_4)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_121,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_50,plain,
! [Y_4,W_3] :
( big_f('#skF_3')
| big_j(Y_4)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_80,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_82,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_2]) ).
tff(c_83,plain,
! [Y_4] :
( big_f('#skF_3')
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_84,plain,
big_f('#skF_3'),
inference(splitLeft,[status(thm)],[c_83]) ).
tff(c_124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121,c_84]) ).
tff(c_125,plain,
! [U_2,Y_4] :
( big_j(U_2)
| ~ big_g(U_2)
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_133,plain,
! [Y_7] :
( big_j(Y_7)
| ~ big_g(Y_7) ),
inference(splitLeft,[status(thm)],[c_125]) ).
tff(c_62,plain,
! [U_2,W_3,Y_4] :
( big_j(U_2)
| ~ big_g(U_2)
| big_h(W_3)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_89,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_93,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89,c_78]) ).
tff(c_94,plain,
! [W_3,U_2] :
( big_h(W_3)
| ~ big_f(W_3)
| big_j(U_2)
| ~ big_g(U_2) ),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_96,plain,
! [U_5] :
( big_j(U_5)
| ~ big_g(U_5) ),
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_20,plain,
( big_f('#skF_3')
| big_f('#skF_5')
| ~ big_j('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_66,plain,
~ big_j('#skF_6'),
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_99,plain,
~ big_g('#skF_6'),
inference(resolution,[status(thm)],[c_96,c_66]) ).
tff(c_103,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67,c_99]) ).
tff(c_105,plain,
! [W_6] :
( big_h(W_6)
| ~ big_f(W_6) ),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_46,plain,
! [Y_4,W_3] :
( ~ big_j('#skF_4')
| ~ big_h('#skF_3')
| big_j(Y_4)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_88,plain,
~ big_h('#skF_3'),
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_108,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_105,c_88]) ).
tff(c_115,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_84,c_108]) ).
tff(c_116,plain,
! [W_3,Y_4] :
( ~ big_j('#skF_4')
| ~ big_f(W_3)
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_118,plain,
~ big_j('#skF_4'),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_136,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_133,c_118]) ).
tff(c_143,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78,c_136]) ).
tff(c_145,plain,
! [U_8] :
( big_j(U_8)
| ~ big_g(U_8) ),
inference(splitRight,[status(thm)],[c_125]) ).
tff(c_148,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_145,c_118]) ).
tff(c_155,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78,c_148]) ).
tff(c_156,plain,
! [W_3,Y_4] :
( ~ big_f(W_3)
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_158,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_156]) ).
tff(c_161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158,c_84]) ).
tff(c_163,plain,
! [Y_9] :
( big_j(Y_9)
| ~ big_g(Y_9) ),
inference(splitRight,[status(thm)],[c_156]) ).
tff(c_166,plain,
~ big_g('#skF_6'),
inference(resolution,[status(thm)],[c_163,c_66]) ).
tff(c_170,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67,c_166]) ).
tff(c_173,plain,
! [Y_10] :
( big_j(Y_10)
| ~ big_g(Y_10) ),
inference(splitRight,[status(thm)],[c_83]) ).
tff(c_176,plain,
~ big_g('#skF_6'),
inference(resolution,[status(thm)],[c_173,c_66]) ).
tff(c_180,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67,c_176]) ).
tff(c_183,plain,
! [Y_11] :
( big_j(Y_11)
| ~ big_g(Y_11) ),
inference(splitRight,[status(thm)],[c_77]) ).
tff(c_186,plain,
~ big_g('#skF_6'),
inference(resolution,[status(thm)],[c_183,c_66]) ).
tff(c_190,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67,c_186]) ).
tff(c_191,plain,
( big_f('#skF_5')
| big_g('#skF_4') ),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_193,plain,
big_g('#skF_4'),
inference(splitLeft,[status(thm)],[c_191]) ).
tff(c_192,plain,
~ big_g('#skF_6'),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_40,plain,
( big_f('#skF_3')
| big_f('#skF_5')
| big_g('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_195,plain,
( big_f('#skF_3')
| big_f('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_192,c_40]) ).
tff(c_196,plain,
big_f('#skF_5'),
inference(splitLeft,[status(thm)],[c_195]) ).
tff(c_64,plain,
! [X_1,W_3,Y_4] :
( big_h(X_1)
| ~ big_f(X_1)
| big_h(W_3)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_265,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_265,c_193]) ).
tff(c_269,plain,
! [W_3,X_1] :
( big_h(W_3)
| ~ big_f(W_3)
| big_h(X_1)
| ~ big_f(X_1) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_277,plain,
! [X_15] :
( big_h(X_15)
| ~ big_f(X_15) ),
inference(splitLeft,[status(thm)],[c_269]) ).
tff(c_30,plain,
( big_f('#skF_3')
| ~ big_h('#skF_5')
| big_g('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_65,plain,
~ big_h('#skF_5'),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_280,plain,
~ big_f('#skF_5'),
inference(resolution,[status(thm)],[c_277,c_65]) ).
tff(c_284,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_280]) ).
tff(c_286,plain,
! [W_16] :
( big_h(W_16)
| ~ big_f(W_16) ),
inference(splitRight,[status(thm)],[c_269]) ).
tff(c_289,plain,
~ big_f('#skF_5'),
inference(resolution,[status(thm)],[c_286,c_65]) ).
tff(c_293,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_289]) ).
tff(c_295,plain,
~ big_f('#skF_5'),
inference(splitRight,[status(thm)],[c_195]) ).
tff(c_42,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2)
| big_f('#skF_5')
| big_g('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_311,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2) ),
inference(negUnitSimplification,[status(thm)],[c_192,c_295,c_42]) ).
tff(c_294,plain,
big_f('#skF_3'),
inference(splitRight,[status(thm)],[c_195]) ).
tff(c_44,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1)
| big_f('#skF_5')
| big_g('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_301,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1) ),
inference(negUnitSimplification,[status(thm)],[c_192,c_295,c_44]) ).
tff(c_36,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3')
| big_f('#skF_5')
| big_g('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_321,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_192,c_295,c_36]) ).
tff(c_322,plain,
~ big_h('#skF_3'),
inference(splitLeft,[status(thm)],[c_321]) ).
tff(c_325,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_301,c_322]) ).
tff(c_329,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_294,c_325]) ).
tff(c_330,plain,
~ big_j('#skF_4'),
inference(splitRight,[status(thm)],[c_321]) ).
tff(c_334,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_311,c_330]) ).
tff(c_338,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_193,c_334]) ).
tff(c_339,plain,
big_f('#skF_5'),
inference(splitRight,[status(thm)],[c_191]) ).
tff(c_340,plain,
~ big_g('#skF_4'),
inference(splitRight,[status(thm)],[c_191]) ).
tff(c_58,plain,
! [W_3,Y_4] :
( big_g('#skF_4')
| big_h(W_3)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_363,plain,
! [W_3,Y_4] :
( big_h(W_3)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(negUnitSimplification,[status(thm)],[c_340,c_58]) ).
tff(c_364,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_363]) ).
tff(c_4,plain,
big_g('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_364,c_4]) ).
tff(c_369,plain,
! [W_20] :
( big_h(W_20)
| ~ big_f(W_20) ),
inference(splitRight,[status(thm)],[c_363]) ).
tff(c_372,plain,
~ big_f('#skF_5'),
inference(resolution,[status(thm)],[c_369,c_65]) ).
tff(c_376,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_339,c_372]) ).
tff(c_378,plain,
big_j('#skF_6'),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_18,plain,
( big_g('#skF_4')
| big_f('#skF_5')
| ~ big_j('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_385,plain,
( big_g('#skF_4')
| big_f('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_378,c_18]) ).
tff(c_386,plain,
big_f('#skF_5'),
inference(splitLeft,[status(thm)],[c_385]) ).
tff(c_396,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_383,plain,
big_g('#skF_6'),
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_399,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_396,c_383]) ).
tff(c_400,plain,
! [W_3] :
( big_g('#skF_4')
| big_h(W_3)
| ~ big_f(W_3) ),
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_407,plain,
big_g('#skF_4'),
inference(splitLeft,[status(thm)],[c_400]) ).
tff(c_421,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_421,c_386]) ).
tff(c_426,plain,
! [U_2,Y_4] :
( big_j(U_2)
| ~ big_g(U_2)
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_427,plain,
! [Y_4] :
( big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_377,plain,
( big_f('#skF_5')
| big_f('#skF_3') ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_379,plain,
big_f('#skF_3'),
inference(splitLeft,[status(thm)],[c_377]) ).
tff(c_430,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_407]) ).
tff(c_435,plain,
! [W_3,X_1] :
( big_h(W_3)
| ~ big_f(W_3)
| big_h(X_1)
| ~ big_f(X_1) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_437,plain,
! [X_22] :
( big_h(X_22)
| ~ big_f(X_22) ),
inference(splitLeft,[status(thm)],[c_435]) ).
tff(c_56,plain,
! [W_3,Y_4] :
( ~ big_j('#skF_4')
| ~ big_h('#skF_3')
| big_h(W_3)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_429,plain,
~ big_h('#skF_3'),
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_440,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_437,c_429]) ).
tff(c_447,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_440]) ).
tff(c_449,plain,
! [W_23] :
( big_h(W_23)
| ~ big_f(W_23) ),
inference(splitRight,[status(thm)],[c_435]) ).
tff(c_452,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_449,c_429]) ).
tff(c_459,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_452]) ).
tff(c_460,plain,
! [Y_4,W_3] :
( ~ big_j('#skF_4')
| ~ big_g(Y_4)
| big_h(W_3)
| ~ big_f(W_3) ),
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_462,plain,
~ big_j('#skF_4'),
inference(splitLeft,[status(thm)],[c_460]) ).
tff(c_465,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_427,c_462]) ).
tff(c_469,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_407,c_465]) ).
tff(c_470,plain,
! [Y_4,W_3] :
( ~ big_g(Y_4)
| big_h(W_3)
| ~ big_f(W_3) ),
inference(splitRight,[status(thm)],[c_460]) ).
tff(c_472,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_470]) ).
tff(c_476,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_472,c_407]) ).
tff(c_478,plain,
! [W_24] :
( big_h(W_24)
| ~ big_f(W_24) ),
inference(splitRight,[status(thm)],[c_470]) ).
tff(c_481,plain,
~ big_f('#skF_5'),
inference(resolution,[status(thm)],[c_478,c_65]) ).
tff(c_485,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_481]) ).
tff(c_486,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_489,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_489,c_407]) ).
tff(c_494,plain,
! [W_3,X_1] :
( big_h(W_3)
| ~ big_f(W_3)
| big_h(X_1)
| ~ big_f(X_1) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_496,plain,
! [X_26] :
( big_h(X_26)
| ~ big_f(X_26) ),
inference(splitLeft,[status(thm)],[c_494]) ).
tff(c_488,plain,
~ big_h('#skF_3'),
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_499,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_496,c_488]) ).
tff(c_506,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_499]) ).
tff(c_508,plain,
! [W_27] :
( big_h(W_27)
| ~ big_f(W_27) ),
inference(splitRight,[status(thm)],[c_494]) ).
tff(c_511,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_508,c_488]) ).
tff(c_518,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_511]) ).
tff(c_519,plain,
! [Y_4,W_3] :
( ~ big_j('#skF_4')
| ~ big_g(Y_4)
| big_h(W_3)
| ~ big_f(W_3) ),
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_521,plain,
~ big_j('#skF_4'),
inference(splitLeft,[status(thm)],[c_519]) ).
tff(c_524,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_486,c_521]) ).
tff(c_528,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_407,c_524]) ).
tff(c_529,plain,
! [Y_4,W_3] :
( ~ big_g(Y_4)
| big_h(W_3)
| ~ big_f(W_3) ),
inference(splitRight,[status(thm)],[c_519]) ).
tff(c_537,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_529]) ).
tff(c_541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_537,c_407]) ).
tff(c_543,plain,
! [W_28] :
( big_h(W_28)
| ~ big_f(W_28) ),
inference(splitRight,[status(thm)],[c_529]) ).
tff(c_546,plain,
~ big_f('#skF_5'),
inference(resolution,[status(thm)],[c_543,c_65]) ).
tff(c_550,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_546]) ).
tff(c_553,plain,
! [W_29] :
( big_h(W_29)
| ~ big_f(W_29) ),
inference(splitRight,[status(thm)],[c_400]) ).
tff(c_556,plain,
~ big_f('#skF_5'),
inference(resolution,[status(thm)],[c_553,c_65]) ).
tff(c_560,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_556]) ).
tff(c_561,plain,
big_g('#skF_4'),
inference(splitRight,[status(thm)],[c_385]) ).
tff(c_562,plain,
~ big_f('#skF_5'),
inference(splitRight,[status(thm)],[c_385]) ).
tff(c_22,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2)
| big_f('#skF_5')
| ~ big_j('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_587,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2)
| big_f('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_378,c_22]) ).
tff(c_588,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2) ),
inference(negUnitSimplification,[status(thm)],[c_562,c_587]) ).
tff(c_24,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1)
| big_f('#skF_5')
| ~ big_j('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_565,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1)
| big_f('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_378,c_24]) ).
tff(c_566,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1) ),
inference(negUnitSimplification,[status(thm)],[c_562,c_565]) ).
tff(c_16,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3')
| big_f('#skF_5')
| ~ big_j('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_594,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3')
| big_f('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_378,c_16]) ).
tff(c_595,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_562,c_594]) ).
tff(c_596,plain,
~ big_h('#skF_3'),
inference(splitLeft,[status(thm)],[c_595]) ).
tff(c_599,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_566,c_596]) ).
tff(c_603,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_599]) ).
tff(c_604,plain,
~ big_j('#skF_4'),
inference(splitRight,[status(thm)],[c_595]) ).
tff(c_608,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_588,c_604]) ).
tff(c_612,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_561,c_608]) ).
tff(c_613,plain,
( big_f('#skF_5')
| big_g('#skF_4') ),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_615,plain,
big_g('#skF_4'),
inference(splitLeft,[status(thm)],[c_613]) ).
tff(c_614,plain,
~ big_g('#skF_6'),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_621,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1)
| big_f('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_614,c_44]) ).
tff(c_622,plain,
big_f('#skF_5'),
inference(splitLeft,[status(thm)],[c_621]) ).
tff(c_645,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_645,c_622]) ).
tff(c_651,plain,
! [U_2,Y_4] :
( big_j(U_2)
| ~ big_g(U_2)
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_652,plain,
! [Y_4] :
( big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitLeft,[status(thm)],[c_651]) ).
tff(c_655,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_655,c_615]) ).
tff(c_659,plain,
! [W_3,X_1] :
( big_h(W_3)
| ~ big_f(W_3)
| big_h(X_1)
| ~ big_f(X_1) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_661,plain,
! [X_33] :
( big_h(X_33)
| ~ big_f(X_33) ),
inference(splitLeft,[status(thm)],[c_659]) ).
tff(c_654,plain,
~ big_h('#skF_3'),
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_664,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_661,c_654]) ).
tff(c_671,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_664]) ).
tff(c_673,plain,
! [W_34] :
( big_h(W_34)
| ~ big_f(W_34) ),
inference(splitRight,[status(thm)],[c_659]) ).
tff(c_676,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_673,c_654]) ).
tff(c_683,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_676]) ).
tff(c_684,plain,
! [Y_4,W_3] :
( ~ big_j('#skF_4')
| ~ big_g(Y_4)
| big_h(W_3)
| ~ big_f(W_3) ),
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_686,plain,
~ big_j('#skF_4'),
inference(splitLeft,[status(thm)],[c_684]) ).
tff(c_689,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_652,c_686]) ).
tff(c_693,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_615,c_689]) ).
tff(c_694,plain,
! [Y_4,W_3] :
( ~ big_g(Y_4)
| big_h(W_3)
| ~ big_f(W_3) ),
inference(splitRight,[status(thm)],[c_684]) ).
tff(c_696,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_694]) ).
tff(c_699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_696,c_615]) ).
tff(c_701,plain,
! [W_35] :
( big_h(W_35)
| ~ big_f(W_35) ),
inference(splitRight,[status(thm)],[c_694]) ).
tff(c_704,plain,
~ big_f('#skF_5'),
inference(resolution,[status(thm)],[c_701,c_65]) ).
tff(c_708,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_622,c_704]) ).
tff(c_709,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2) ),
inference(splitRight,[status(thm)],[c_651]) ).
tff(c_712,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_715,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_712,c_615]) ).
tff(c_716,plain,
! [W_3,X_1] :
( big_h(W_3)
| ~ big_f(W_3)
| big_h(X_1)
| ~ big_f(X_1) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_718,plain,
! [X_37] :
( big_h(X_37)
| ~ big_f(X_37) ),
inference(splitLeft,[status(thm)],[c_716]) ).
tff(c_711,plain,
~ big_h('#skF_3'),
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_721,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_718,c_711]) ).
tff(c_728,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_721]) ).
tff(c_730,plain,
! [W_38] :
( big_h(W_38)
| ~ big_f(W_38) ),
inference(splitRight,[status(thm)],[c_716]) ).
tff(c_733,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_730,c_711]) ).
tff(c_740,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_733]) ).
tff(c_741,plain,
! [Y_4,W_3] :
( ~ big_j('#skF_4')
| ~ big_g(Y_4)
| big_h(W_3)
| ~ big_f(W_3) ),
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_743,plain,
~ big_j('#skF_4'),
inference(splitLeft,[status(thm)],[c_741]) ).
tff(c_746,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_709,c_743]) ).
tff(c_750,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_615,c_746]) ).
tff(c_751,plain,
! [Y_4,W_3] :
( ~ big_g(Y_4)
| big_h(W_3)
| ~ big_f(W_3) ),
inference(splitRight,[status(thm)],[c_741]) ).
tff(c_753,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_751]) ).
tff(c_756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_753,c_615]) ).
tff(c_758,plain,
! [W_39] :
( big_h(W_39)
| ~ big_f(W_39) ),
inference(splitRight,[status(thm)],[c_751]) ).
tff(c_761,plain,
~ big_f('#skF_5'),
inference(resolution,[status(thm)],[c_758,c_65]) ).
tff(c_765,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_622,c_761]) ).
tff(c_767,plain,
~ big_f('#skF_5'),
inference(splitRight,[status(thm)],[c_621]) ).
tff(c_794,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2)
| big_f('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_378,c_22]) ).
tff(c_796,plain,
! [U_41] :
( big_j(U_41)
| ~ big_g(U_41) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_794]) ).
tff(c_766,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1) ),
inference(splitRight,[status(thm)],[c_621]) ).
tff(c_774,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3')
| big_f('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_378,c_16]) ).
tff(c_775,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_767,c_774]) ).
tff(c_776,plain,
~ big_h('#skF_3'),
inference(splitLeft,[status(thm)],[c_775]) ).
tff(c_779,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_766,c_776]) ).
tff(c_783,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_779]) ).
tff(c_784,plain,
~ big_j('#skF_4'),
inference(splitRight,[status(thm)],[c_775]) ).
tff(c_799,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_796,c_784]) ).
tff(c_803,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_615,c_799]) ).
tff(c_804,plain,
big_f('#skF_5'),
inference(splitRight,[status(thm)],[c_613]) ).
tff(c_805,plain,
~ big_g('#skF_4'),
inference(splitRight,[status(thm)],[c_613]) ).
tff(c_819,plain,
! [W_3,Y_4] :
( big_h(W_3)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(negUnitSimplification,[status(thm)],[c_805,c_58]) ).
tff(c_820,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_819]) ).
tff(c_824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_820,c_4]) ).
tff(c_826,plain,
! [W_42] :
( big_h(W_42)
| ~ big_f(W_42) ),
inference(splitRight,[status(thm)],[c_819]) ).
tff(c_829,plain,
~ big_f('#skF_5'),
inference(resolution,[status(thm)],[c_826,c_65]) ).
tff(c_833,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_804,c_829]) ).
tff(c_834,plain,
big_f('#skF_5'),
inference(splitRight,[status(thm)],[c_377]) ).
tff(c_835,plain,
~ big_f('#skF_3'),
inference(splitRight,[status(thm)],[c_377]) ).
tff(c_60,plain,
! [W_3,Y_4] :
( big_f('#skF_3')
| big_h(W_3)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_861,plain,
! [W_3,Y_4] :
( big_h(W_3)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(negUnitSimplification,[status(thm)],[c_835,c_60]) ).
tff(c_862,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_861]) ).
tff(c_851,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_854,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_851,c_834]) ).
tff(c_855,plain,
! [Y_4] :
( big_g('#skF_4')
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_856,plain,
big_g('#skF_4'),
inference(splitLeft,[status(thm)],[c_855]) ).
tff(c_865,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_862,c_856]) ).
tff(c_867,plain,
! [W_43] :
( big_h(W_43)
| ~ big_f(W_43) ),
inference(splitRight,[status(thm)],[c_861]) ).
tff(c_870,plain,
~ big_f('#skF_5'),
inference(resolution,[status(thm)],[c_867,c_65]) ).
tff(c_874,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_834,c_870]) ).
tff(c_876,plain,
~ big_g('#skF_4'),
inference(splitRight,[status(thm)],[c_855]) ).
tff(c_878,plain,
! [W_3,Y_4] :
( big_h(W_3)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(negUnitSimplification,[status(thm)],[c_876,c_58]) ).
tff(c_879,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_878]) ).
tff(c_881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_879,c_4]) ).
tff(c_883,plain,
! [W_45] :
( big_h(W_45)
| ~ big_f(W_45) ),
inference(splitRight,[status(thm)],[c_878]) ).
tff(c_886,plain,
~ big_f('#skF_5'),
inference(resolution,[status(thm)],[c_883,c_65]) ).
tff(c_890,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_834,c_886]) ).
tff(c_892,plain,
big_h('#skF_5'),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_28,plain,
( big_g('#skF_4')
| ~ big_h('#skF_5')
| big_g('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_896,plain,
( big_g('#skF_4')
| big_g('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_892,c_28]) ).
tff(c_897,plain,
big_g('#skF_6'),
inference(splitLeft,[status(thm)],[c_896]) ).
tff(c_914,plain,
! [Y_4] : ~ big_g(Y_4),
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_917,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_914,c_897]) ).
tff(c_918,plain,
! [W_3] :
( big_g('#skF_4')
| big_h(W_3)
| ~ big_f(W_3) ),
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_919,plain,
big_g('#skF_4'),
inference(splitLeft,[status(thm)],[c_918]) ).
tff(c_957,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_891,plain,
( big_g('#skF_6')
| big_f('#skF_3') ),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_893,plain,
big_f('#skF_3'),
inference(splitLeft,[status(thm)],[c_891]) ).
tff(c_960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_957,c_893]) ).
tff(c_961,plain,
! [U_2,Y_4] :
( big_j(U_2)
| ~ big_g(U_2)
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_963,plain,
! [Y_48] :
( big_j(Y_48)
| ~ big_g(Y_48) ),
inference(splitLeft,[status(thm)],[c_961]) ).
tff(c_54,plain,
! [X_1,Y_4,W_3] :
( big_h(X_1)
| ~ big_f(X_1)
| big_j(Y_4)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_930,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_930,c_893]) ).
tff(c_934,plain,
! [X_1,Y_4] :
( big_h(X_1)
| ~ big_f(X_1)
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_936,plain,
! [Y_46] :
( big_j(Y_46)
| ~ big_g(Y_46) ),
inference(splitLeft,[status(thm)],[c_934]) ).
tff(c_8,plain,
( big_g('#skF_4')
| ~ big_h('#skF_5')
| ~ big_j('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_899,plain,
( big_g('#skF_4')
| ~ big_j('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_892,c_8]) ).
tff(c_900,plain,
~ big_j('#skF_6'),
inference(splitLeft,[status(thm)],[c_899]) ).
tff(c_939,plain,
~ big_g('#skF_6'),
inference(resolution,[status(thm)],[c_936,c_900]) ).
tff(c_943,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_897,c_939]) ).
tff(c_944,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1) ),
inference(splitRight,[status(thm)],[c_934]) ).
tff(c_946,plain,
~ big_h('#skF_3'),
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_949,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_944,c_946]) ).
tff(c_953,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_893,c_949]) ).
tff(c_954,plain,
! [W_3,Y_4] :
( ~ big_j('#skF_4')
| ~ big_f(W_3)
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_956,plain,
~ big_j('#skF_4'),
inference(splitLeft,[status(thm)],[c_954]) ).
tff(c_966,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_963,c_956]) ).
tff(c_973,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_919,c_966]) ).
tff(c_977,plain,
! [U_49] :
( big_j(U_49)
| ~ big_g(U_49) ),
inference(splitRight,[status(thm)],[c_961]) ).
tff(c_980,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_977,c_956]) ).
tff(c_987,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_919,c_980]) ).
tff(c_988,plain,
! [W_3,Y_4] :
( ~ big_f(W_3)
| big_j(Y_4)
| ~ big_g(Y_4) ),
inference(splitRight,[status(thm)],[c_954]) ).
tff(c_990,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_988]) ).
tff(c_993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_990,c_893]) ).
tff(c_995,plain,
! [Y_50] :
( big_j(Y_50)
| ~ big_g(Y_50) ),
inference(splitRight,[status(thm)],[c_988]) ).
tff(c_998,plain,
~ big_g('#skF_6'),
inference(resolution,[status(thm)],[c_995,c_900]) ).
tff(c_1002,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_897,c_998]) ).
tff(c_1004,plain,
~ big_g('#skF_4'),
inference(splitRight,[status(thm)],[c_918]) ).
tff(c_1007,plain,
! [Y_4,W_3] :
( big_j(Y_4)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(negUnitSimplification,[status(thm)],[c_1004,c_48]) ).
tff(c_1008,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_1007]) ).
tff(c_1013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1008,c_893]) ).
tff(c_1015,plain,
! [Y_52] :
( big_j(Y_52)
| ~ big_g(Y_52) ),
inference(splitRight,[status(thm)],[c_1007]) ).
tff(c_1018,plain,
~ big_g('#skF_6'),
inference(resolution,[status(thm)],[c_1015,c_900]) ).
tff(c_1022,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_897,c_1018]) ).
tff(c_1023,plain,
big_g('#skF_4'),
inference(splitRight,[status(thm)],[c_899]) ).
tff(c_1024,plain,
big_j('#skF_6'),
inference(splitRight,[status(thm)],[c_899]) ).
tff(c_12,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2)
| ~ big_h('#skF_5')
| ~ big_j('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_1039,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_1024,c_892,c_12]) ).
tff(c_14,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1)
| ~ big_h('#skF_5')
| ~ big_j('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_1042,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_1024,c_892,c_14]) ).
tff(c_6,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3')
| ~ big_h('#skF_5')
| ~ big_j('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_1059,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_1024,c_892,c_6]) ).
tff(c_1060,plain,
~ big_h('#skF_3'),
inference(splitLeft,[status(thm)],[c_1059]) ).
tff(c_1063,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_1042,c_1060]) ).
tff(c_1067,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_893,c_1063]) ).
tff(c_1068,plain,
~ big_j('#skF_4'),
inference(splitRight,[status(thm)],[c_1059]) ).
tff(c_1072,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_1039,c_1068]) ).
tff(c_1076,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1023,c_1072]) ).
tff(c_1077,plain,
big_g('#skF_4'),
inference(splitRight,[status(thm)],[c_896]) ).
tff(c_1078,plain,
~ big_g('#skF_6'),
inference(splitRight,[status(thm)],[c_896]) ).
tff(c_32,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2)
| ~ big_h('#skF_5')
| big_g('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_1140,plain,
! [U_2] :
( big_j(U_2)
| ~ big_g(U_2)
| big_g('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_892,c_32]) ).
tff(c_1142,plain,
! [U_58] :
( big_j(U_58)
| ~ big_g(U_58) ),
inference(negUnitSimplification,[status(thm)],[c_1078,c_1140]) ).
tff(c_34,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1)
| ~ big_h('#skF_5')
| big_g('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_1110,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1)
| big_g('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_892,c_34]) ).
tff(c_1112,plain,
! [X_56] :
( big_h(X_56)
| ~ big_f(X_56) ),
inference(negUnitSimplification,[status(thm)],[c_1078,c_1110]) ).
tff(c_26,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3')
| ~ big_h('#skF_5')
| big_g('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_1092,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3')
| big_g('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_892,c_26]) ).
tff(c_1093,plain,
( ~ big_j('#skF_4')
| ~ big_h('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_1078,c_1092]) ).
tff(c_1094,plain,
~ big_h('#skF_3'),
inference(splitLeft,[status(thm)],[c_1093]) ).
tff(c_1115,plain,
~ big_f('#skF_3'),
inference(resolution,[status(thm)],[c_1112,c_1094]) ).
tff(c_1119,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_893,c_1115]) ).
tff(c_1120,plain,
~ big_j('#skF_4'),
inference(splitRight,[status(thm)],[c_1093]) ).
tff(c_1145,plain,
~ big_g('#skF_4'),
inference(resolution,[status(thm)],[c_1142,c_1120]) ).
tff(c_1152,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1077,c_1145]) ).
tff(c_1154,plain,
~ big_f('#skF_3'),
inference(splitRight,[status(thm)],[c_891]) ).
tff(c_1153,plain,
big_g('#skF_6'),
inference(splitRight,[status(thm)],[c_891]) ).
tff(c_1173,plain,
! [Y_4,W_3] :
( big_j(Y_4)
| ~ big_g(Y_4)
| ~ big_f(W_3) ),
inference(negUnitSimplification,[status(thm)],[c_1154,c_50]) ).
tff(c_1174,plain,
! [W_3] : ~ big_f(W_3),
inference(splitLeft,[status(thm)],[c_1173]) ).
tff(c_1176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1174,c_2]) ).
tff(c_1178,plain,
! [Y_59] :
( big_j(Y_59)
| ~ big_g(Y_59) ),
inference(splitRight,[status(thm)],[c_1173]) ).
tff(c_1158,plain,
( big_g('#skF_4')
| ~ big_j('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_892,c_8]) ).
tff(c_1159,plain,
~ big_j('#skF_6'),
inference(splitLeft,[status(thm)],[c_1158]) ).
tff(c_1181,plain,
~ big_g('#skF_6'),
inference(resolution,[status(thm)],[c_1178,c_1159]) ).
tff(c_1185,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1153,c_1181]) ).
tff(c_1187,plain,
big_j('#skF_6'),
inference(splitRight,[status(thm)],[c_1158]) ).
tff(c_10,plain,
( big_f('#skF_3')
| ~ big_h('#skF_5')
| ~ big_j('#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_1196,plain,
big_f('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_1187,c_892,c_10]) ).
tff(c_1197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1154,c_1196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 17:40:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.86/2.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.06/2.10
% 4.06/2.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.29/2.16
% 4.29/2.16 Inference rules
% 4.29/2.16 ----------------------
% 4.29/2.16 #Ref : 0
% 4.29/2.16 #Sup : 72
% 4.29/2.16 #Fact : 0
% 4.29/2.16 #Define : 0
% 4.29/2.16 #Split : 94
% 4.29/2.16 #Chain : 0
% 4.29/2.16 #Close : 0
% 4.29/2.16
% 4.29/2.16 Ordering : KBO
% 4.29/2.16
% 4.29/2.16 Simplification rules
% 4.29/2.16 ----------------------
% 4.29/2.16 #Subsume : 169
% 4.29/2.16 #Demod : 277
% 4.29/2.16 #Tautology : 91
% 4.29/2.16 #SimpNegUnit : 145
% 4.29/2.16 #BackRed : 77
% 4.29/2.16
% 4.29/2.16 #Partial instantiations: 0
% 4.29/2.16 #Strategies tried : 1
% 4.29/2.16
% 4.29/2.16 Timing (in seconds)
% 4.29/2.16 ----------------------
% 4.29/2.17 Preprocessing : 0.45
% 4.29/2.17 Parsing : 0.24
% 4.29/2.17 CNF conversion : 0.03
% 4.29/2.17 Main loop : 0.51
% 4.29/2.17 Inferencing : 0.16
% 4.29/2.17 Reduction : 0.14
% 4.29/2.17 Demodulation : 0.09
% 4.29/2.17 BG Simplification : 0.03
% 4.29/2.17 Subsumption : 0.10
% 4.29/2.17 Abstraction : 0.02
% 4.29/2.17 MUC search : 0.00
% 4.29/2.17 Cooper : 0.00
% 4.29/2.17 Total : 1.07
% 4.29/2.17 Index Insertion : 0.00
% 4.29/2.17 Index Deletion : 0.00
% 4.29/2.17 Index Matching : 0.00
% 4.29/2.17 BG Taut test : 0.00
%------------------------------------------------------------------------------