TSTP Solution File: SYN415+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN415+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 : n001.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 11:10:48 EDT 2023
% Result : Theorem 3.24s 1.80s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 175 ( 91 unt; 6 typ; 0 def)
% Number of atoms : 308 ( 100 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 300 ( 161 ~; 133 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 126 (; 124 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ f > #nlpp > #skF_2 > #skF_5 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f,type,
f: $i > $o ).
tff(f_44,negated_conjecture,
~ ( ( ? [X] : f(X)
& ! [Y,Z] :
( ( f(Y)
& f(Z) )
=> ( Y = Z ) ) )
<=> ? [U] :
( f(U)
& ! [V] :
( f(V)
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish317) ).
tff(c_20,plain,
! [X_7] :
( f('#skF_1')
| f('#skF_4')
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_42,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_36,plain,
( f('#skF_1')
| f('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_41,plain,
f('#skF_3'),
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_44,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_41]) ).
tff(c_45,plain,
( f('#skF_4')
| f('#skF_1') ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_46,plain,
f('#skF_1'),
inference(splitLeft,[status(thm)],[c_45]) ).
tff(c_30,plain,
! [U_3,V_6] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3)
| ( V_6 = '#skF_3' )
| ~ f(V_6) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_351,plain,
! [U_24] :
( ( '#skF_2'(U_24) != U_24 )
| ~ f(U_24) ),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_362,plain,
'#skF_2'('#skF_1') != '#skF_1',
inference(resolution,[status(thm)],[c_46,c_351]) ).
tff(c_24,plain,
! [U_3,X_7] :
( f('#skF_2'(U_3))
| ~ f(U_3)
| f('#skF_4')
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_82,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_16,plain,
! [U_3,X_7] :
( f('#skF_2'(U_3))
| ~ f(U_3)
| f('#skF_5')
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_71,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_73,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71,c_46]) ).
tff(c_74,plain,
! [U_3] :
( f('#skF_5')
| f('#skF_2'(U_3))
| ~ f(U_3) ),
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_81,plain,
f('#skF_5'),
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_89,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_81]) ).
tff(c_90,plain,
! [U_3] :
( f('#skF_4')
| f('#skF_2'(U_3))
| ~ f(U_3) ),
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_101,plain,
f('#skF_4'),
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_32,plain,
! [U_3,V_6] :
( f('#skF_2'(U_3))
| ~ f(U_3)
| ( V_6 = '#skF_3' )
| ~ f(V_6) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_54,plain,
! [V_8] :
( ( V_8 = '#skF_3' )
| ~ f(V_8) ),
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_61,plain,
'#skF_3' = '#skF_1',
inference(resolution,[status(thm)],[c_46,c_54]) ).
tff(c_53,plain,
! [V_6] :
( ( V_6 = '#skF_3' )
| ~ f(V_6) ),
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_64,plain,
! [V_6] :
( ( V_6 = '#skF_1' )
| ~ f(V_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_61,c_53]) ).
tff(c_105,plain,
'#skF_1' = '#skF_4',
inference(resolution,[status(thm)],[c_101,c_64]) ).
tff(c_94,plain,
'#skF_5' = '#skF_1',
inference(resolution,[status(thm)],[c_81,c_64]) ).
tff(c_106,plain,
'#skF_5' = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_105,c_94]) ).
tff(c_8,plain,
! [U_3,X_7] :
( f('#skF_2'(U_3))
| ~ f(U_3)
| ( '#skF_5' != '#skF_4' )
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_124,plain,
! [U_3,X_7] :
( f('#skF_2'(U_3))
| ~ f(U_3)
| ~ f(X_7) ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_8]) ).
tff(c_125,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_127,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125,c_101]) ).
tff(c_135,plain,
! [U_11] :
( f('#skF_2'(U_11))
| ~ f(U_11) ),
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_107,plain,
! [V_6] :
( ( V_6 = '#skF_4' )
| ~ f(V_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_105,c_64]) ).
tff(c_140,plain,
! [U_12] :
( ( '#skF_2'(U_12) = '#skF_4' )
| ~ f(U_12) ),
inference(resolution,[status(thm)],[c_135,c_107]) ).
tff(c_148,plain,
'#skF_2'('#skF_4') = '#skF_4',
inference(resolution,[status(thm)],[c_101,c_140]) ).
tff(c_6,plain,
! [U_3,X_7] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3)
| ( '#skF_5' != '#skF_4' )
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_187,plain,
! [U_3,X_7] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3)
| ~ f(X_7) ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_6]) ).
tff(c_188,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_187]) ).
tff(c_192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_101]) ).
tff(c_194,plain,
! [U_14] :
( ( '#skF_2'(U_14) != U_14 )
| ~ f(U_14) ),
inference(splitRight,[status(thm)],[c_187]) ).
tff(c_200,plain,
'#skF_2'('#skF_4') != '#skF_4',
inference(resolution,[status(thm)],[c_101,c_194]) ).
tff(c_205,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_148,c_200]) ).
tff(c_208,plain,
! [U_15] :
( f('#skF_2'(U_15))
| ~ f(U_15) ),
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_213,plain,
! [U_16] :
( ( '#skF_2'(U_16) = '#skF_1' )
| ~ f(U_16) ),
inference(resolution,[status(thm)],[c_208,c_64]) ).
tff(c_221,plain,
'#skF_2'('#skF_1') = '#skF_1',
inference(resolution,[status(thm)],[c_46,c_213]) ).
tff(c_207,plain,
~ f('#skF_4'),
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_22,plain,
! [U_3,X_7] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3)
| f('#skF_4')
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_259,plain,
! [U_3,X_7] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3)
| ~ f(X_7) ),
inference(negUnitSimplification,[status(thm)],[c_207,c_22]) ).
tff(c_260,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_259]) ).
tff(c_263,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_46]) ).
tff(c_265,plain,
! [U_18] :
( ( '#skF_2'(U_18) != U_18 )
| ~ f(U_18) ),
inference(splitRight,[status(thm)],[c_259]) ).
tff(c_271,plain,
'#skF_2'('#skF_1') != '#skF_1',
inference(resolution,[status(thm)],[c_46,c_265]) ).
tff(c_276,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_221,c_271]) ).
tff(c_279,plain,
! [U_19] :
( f('#skF_2'(U_19))
| ~ f(U_19) ),
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_284,plain,
! [U_20] :
( ( '#skF_2'(U_20) = '#skF_1' )
| ~ f(U_20) ),
inference(resolution,[status(thm)],[c_279,c_64]) ).
tff(c_292,plain,
'#skF_2'('#skF_1') = '#skF_1',
inference(resolution,[status(thm)],[c_46,c_284]) ).
tff(c_278,plain,
~ f('#skF_5'),
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_14,plain,
! [U_3,X_7] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3)
| f('#skF_5')
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_329,plain,
! [U_3,X_7] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3)
| ~ f(X_7) ),
inference(negUnitSimplification,[status(thm)],[c_278,c_14]) ).
tff(c_330,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_329]) ).
tff(c_334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_330,c_46]) ).
tff(c_336,plain,
! [U_22] :
( ( '#skF_2'(U_22) != U_22 )
| ~ f(U_22) ),
inference(splitRight,[status(thm)],[c_329]) ).
tff(c_342,plain,
'#skF_2'('#skF_1') != '#skF_1',
inference(resolution,[status(thm)],[c_46,c_336]) ).
tff(c_347,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_292,c_342]) ).
tff(c_348,plain,
! [U_3] :
( f('#skF_2'(U_3))
| ~ f(U_3) ),
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_18,plain,
! [Z_2,Y_1,X_7] :
( ( Z_2 = Y_1 )
| ~ f(Z_2)
| ~ f(Y_1)
| f('#skF_4')
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_365,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_365,c_46]) ).
tff(c_370,plain,
! [Z_2,Y_1] :
( f('#skF_4')
| ( Z_2 = Y_1 )
| ~ f(Z_2)
| ~ f(Y_1) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_371,plain,
f('#skF_4'),
inference(splitLeft,[status(thm)],[c_370]) ).
tff(c_350,plain,
! [U_3] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3) ),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_375,plain,
'#skF_2'('#skF_4') != '#skF_4',
inference(resolution,[status(thm)],[c_371,c_350]) ).
tff(c_2,plain,
! [Z_2,Y_1,X_7] :
( ( Z_2 = Y_1 )
| ~ f(Z_2)
| ~ f(Y_1)
| ( '#skF_5' != '#skF_4' )
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_376,plain,
'#skF_5' != '#skF_4',
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_10,plain,
! [Z_2,Y_1,X_7] :
( ( Z_2 = Y_1 )
| ~ f(Z_2)
| ~ f(Y_1)
| f('#skF_5')
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_377,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377,c_371]) ).
tff(c_383,plain,
! [Z_2,Y_1] :
( f('#skF_5')
| ( Z_2 = Y_1 )
| ~ f(Z_2)
| ~ f(Y_1) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_384,plain,
f('#skF_5'),
inference(splitLeft,[status(thm)],[c_383]) ).
tff(c_26,plain,
! [Z_2,Y_1,V_6] :
( ( Z_2 = Y_1 )
| ~ f(Z_2)
| ~ f(Y_1)
| ( V_6 = '#skF_3' )
| ~ f(V_6) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_390,plain,
! [V_26] :
( ( V_26 = '#skF_3' )
| ~ f(V_26) ),
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_407,plain,
'#skF_3' = '#skF_4',
inference(resolution,[status(thm)],[c_371,c_390]) ).
tff(c_406,plain,
'#skF_5' = '#skF_3',
inference(resolution,[status(thm)],[c_384,c_390]) ).
tff(c_414,plain,
'#skF_3' != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_406,c_376]) ).
tff(c_435,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_407,c_414]) ).
tff(c_437,plain,
! [Z_27,Y_28] :
( ( Z_27 = Y_28 )
| ~ f(Z_27)
| ~ f(Y_28) ),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_453,plain,
! [Y_29] :
( ( Y_29 = '#skF_5' )
| ~ f(Y_29) ),
inference(resolution,[status(thm)],[c_384,c_437]) ).
tff(c_459,plain,
'#skF_5' = '#skF_4',
inference(resolution,[status(thm)],[c_371,c_453]) ).
tff(c_474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_376,c_459]) ).
tff(c_477,plain,
! [Z_30,Y_31] :
( ( Z_30 = Y_31 )
| ~ f(Z_30)
| ~ f(Y_31) ),
inference(splitRight,[status(thm)],[c_383]) ).
tff(c_490,plain,
! [Y_32] :
( ( Y_32 = '#skF_4' )
| ~ f(Y_32) ),
inference(resolution,[status(thm)],[c_371,c_477]) ).
tff(c_524,plain,
! [U_33] :
( ( '#skF_2'(U_33) = '#skF_4' )
| ~ f(U_33) ),
inference(resolution,[status(thm)],[c_348,c_490]) ).
tff(c_527,plain,
'#skF_2'('#skF_4') = '#skF_4',
inference(resolution,[status(thm)],[c_371,c_524]) ).
tff(c_534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_375,c_527]) ).
tff(c_535,plain,
! [X_7,Z_2,Y_1] :
( ~ f(X_7)
| ( Z_2 = Y_1 )
| ~ f(Z_2)
| ~ f(Y_1) ),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_541,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_535]) ).
tff(c_546,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_541,c_371]) ).
tff(c_548,plain,
! [Z_34,Y_35] :
( ( Z_34 = Y_35 )
| ~ f(Z_34)
| ~ f(Y_35) ),
inference(splitRight,[status(thm)],[c_535]) ).
tff(c_561,plain,
! [Y_36] :
( ( Y_36 = '#skF_4' )
| ~ f(Y_36) ),
inference(resolution,[status(thm)],[c_371,c_548]) ).
tff(c_595,plain,
! [U_37] :
( ( '#skF_2'(U_37) = '#skF_4' )
| ~ f(U_37) ),
inference(resolution,[status(thm)],[c_348,c_561]) ).
tff(c_598,plain,
'#skF_2'('#skF_4') = '#skF_4',
inference(resolution,[status(thm)],[c_371,c_595]) ).
tff(c_605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_375,c_598]) ).
tff(c_608,plain,
! [Z_38,Y_39] :
( ( Z_38 = Y_39 )
| ~ f(Z_38)
| ~ f(Y_39) ),
inference(splitRight,[status(thm)],[c_370]) ).
tff(c_618,plain,
! [Y_40] :
( ( Y_40 = '#skF_1' )
| ~ f(Y_40) ),
inference(resolution,[status(thm)],[c_46,c_608]) ).
tff(c_640,plain,
! [U_41] :
( ( '#skF_2'(U_41) = '#skF_1' )
| ~ f(U_41) ),
inference(resolution,[status(thm)],[c_348,c_618]) ).
tff(c_646,plain,
'#skF_2'('#skF_1') = '#skF_1',
inference(resolution,[status(thm)],[c_46,c_640]) ).
tff(c_651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_362,c_646]) ).
tff(c_653,plain,
! [V_42] :
( ( V_42 = '#skF_3' )
| ~ f(V_42) ),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_664,plain,
'#skF_3' = '#skF_1',
inference(resolution,[status(thm)],[c_46,c_653]) ).
tff(c_663,plain,
! [U_3] :
( ( '#skF_2'(U_3) = '#skF_3' )
| ~ f(U_3) ),
inference(resolution,[status(thm)],[c_348,c_653]) ).
tff(c_690,plain,
! [U_44] :
( ( '#skF_2'(U_44) = '#skF_1' )
| ~ f(U_44) ),
inference(demodulation,[status(thm),theory(equality)],[c_664,c_663]) ).
tff(c_698,plain,
'#skF_2'('#skF_1') = '#skF_1',
inference(resolution,[status(thm)],[c_46,c_690]) ).
tff(c_763,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_763,c_46]) ).
tff(c_768,plain,
! [U_3] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3)
| f('#skF_4') ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_770,plain,
! [U_47] :
( ( '#skF_2'(U_47) != U_47 )
| ~ f(U_47) ),
inference(splitLeft,[status(thm)],[c_768]) ).
tff(c_776,plain,
'#skF_2'('#skF_1') != '#skF_1',
inference(resolution,[status(thm)],[c_46,c_770]) ).
tff(c_781,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_698,c_776]) ).
tff(c_782,plain,
f('#skF_4'),
inference(splitRight,[status(thm)],[c_768]) ).
tff(c_652,plain,
! [V_6] :
( ( V_6 = '#skF_3' )
| ~ f(V_6) ),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_667,plain,
! [V_6] :
( ( V_6 = '#skF_1' )
| ~ f(V_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_664,c_652]) ).
tff(c_790,plain,
'#skF_1' = '#skF_4',
inference(resolution,[status(thm)],[c_782,c_667]) ).
tff(c_793,plain,
'#skF_2'('#skF_4') = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_790,c_790,c_698]) ).
tff(c_684,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_684,c_46]) ).
tff(c_688,plain,
! [U_3] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3)
| f('#skF_5') ),
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_735,plain,
! [U_46] :
( ( '#skF_2'(U_46) != U_46 )
| ~ f(U_46) ),
inference(splitLeft,[status(thm)],[c_688]) ).
tff(c_741,plain,
'#skF_2'('#skF_1') != '#skF_1',
inference(resolution,[status(thm)],[c_46,c_735]) ).
tff(c_746,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_698,c_741]) ).
tff(c_747,plain,
f('#skF_5'),
inference(splitRight,[status(thm)],[c_688]) ).
tff(c_755,plain,
'#skF_5' = '#skF_1',
inference(resolution,[status(thm)],[c_747,c_667]) ).
tff(c_791,plain,
'#skF_5' = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_790,c_755]) ).
tff(c_821,plain,
! [U_3,X_7] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3)
| ~ f(X_7) ),
inference(demodulation,[status(thm),theory(equality)],[c_791,c_6]) ).
tff(c_822,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_821]) ).
tff(c_825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_822,c_782]) ).
tff(c_838,plain,
! [U_49] :
( ( '#skF_2'(U_49) != U_49 )
| ~ f(U_49) ),
inference(splitRight,[status(thm)],[c_821]) ).
tff(c_841,plain,
'#skF_2'('#skF_4') != '#skF_4',
inference(resolution,[status(thm)],[c_782,c_838]) ).
tff(c_848,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_793,c_841]) ).
tff(c_850,plain,
~ f('#skF_1'),
inference(splitRight,[status(thm)],[c_45]) ).
tff(c_849,plain,
f('#skF_4'),
inference(splitRight,[status(thm)],[c_45]) ).
tff(c_28,plain,
! [V_6] :
( f('#skF_1')
| ( V_6 = '#skF_3' )
| ~ f(V_6) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_858,plain,
! [V_50] :
( ( V_50 = '#skF_3' )
| ~ f(V_50) ),
inference(negUnitSimplification,[status(thm)],[c_850,c_28]) ).
tff(c_869,plain,
'#skF_3' = '#skF_4',
inference(resolution,[status(thm)],[c_849,c_858]) ).
tff(c_12,plain,
! [X_7] :
( f('#skF_1')
| f('#skF_5')
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_851,plain,
! [X_7] :
( f('#skF_5')
| ~ f(X_7) ),
inference(negUnitSimplification,[status(thm)],[c_850,c_12]) ).
tff(c_852,plain,
! [X_7] : ~ f(X_7),
inference(splitLeft,[status(thm)],[c_851]) ).
tff(c_855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_852,c_849]) ).
tff(c_856,plain,
f('#skF_5'),
inference(splitRight,[status(thm)],[c_851]) ).
tff(c_868,plain,
'#skF_5' = '#skF_3',
inference(resolution,[status(thm)],[c_856,c_858]) ).
tff(c_878,plain,
'#skF_5' = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_869,c_868]) ).
tff(c_4,plain,
! [X_7] :
( f('#skF_1')
| ( '#skF_5' != '#skF_4' )
| ~ f(X_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_897,plain,
! [X_7] :
( f('#skF_1')
| ~ f(X_7) ),
inference(demodulation,[status(thm),theory(equality)],[c_878,c_4]) ).
tff(c_898,plain,
! [X_7] : ~ f(X_7),
inference(negUnitSimplification,[status(thm)],[c_850,c_897]) ).
tff(c_900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_898,c_849]) ).
tff(c_901,plain,
f('#skF_1'),
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_902,plain,
~ f('#skF_3'),
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_38,plain,
! [U_3] :
( ( '#skF_2'(U_3) != U_3 )
| ~ f(U_3)
| f('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_908,plain,
! [U_52] :
( ( '#skF_2'(U_52) != U_52 )
| ~ f(U_52) ),
inference(negUnitSimplification,[status(thm)],[c_902,c_38]) ).
tff(c_912,plain,
'#skF_2'('#skF_1') != '#skF_1',
inference(resolution,[status(thm)],[c_901,c_908]) ).
tff(c_40,plain,
! [U_3] :
( f('#skF_2'(U_3))
| ~ f(U_3)
| f('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_913,plain,
! [U_3] :
( f('#skF_2'(U_3))
| ~ f(U_3) ),
inference(negUnitSimplification,[status(thm)],[c_902,c_40]) ).
tff(c_34,plain,
! [Z_2,Y_1] :
( ( Z_2 = Y_1 )
| ~ f(Z_2)
| ~ f(Y_1)
| f('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_921,plain,
! [Z_55,Y_56] :
( ( Z_55 = Y_56 )
| ~ f(Z_55)
| ~ f(Y_56) ),
inference(negUnitSimplification,[status(thm)],[c_902,c_34]) ).
tff(c_928,plain,
! [Y_57] :
( ( Y_57 = '#skF_1' )
| ~ f(Y_57) ),
inference(resolution,[status(thm)],[c_901,c_921]) ).
tff(c_938,plain,
! [U_58] :
( ( '#skF_2'(U_58) = '#skF_1' )
| ~ f(U_58) ),
inference(resolution,[status(thm)],[c_913,c_928]) ).
tff(c_944,plain,
'#skF_2'('#skF_1') = '#skF_1',
inference(resolution,[status(thm)],[c_901,c_938]) ).
tff(c_949,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_912,c_944]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.12 % 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
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 3 18:01:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.24/1.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.24/1.82
% 3.24/1.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.51/1.86
% 3.51/1.86 Inference rules
% 3.51/1.86 ----------------------
% 3.51/1.86 #Ref : 0
% 3.51/1.86 #Sup : 184
% 3.51/1.86 #Fact : 0
% 3.51/1.86 #Define : 0
% 3.51/1.86 #Split : 27
% 3.51/1.86 #Chain : 0
% 3.51/1.86 #Close : 0
% 3.51/1.86
% 3.51/1.86 Ordering : KBO
% 3.51/1.86
% 3.51/1.86 Simplification rules
% 3.51/1.86 ----------------------
% 3.51/1.86 #Subsume : 64
% 3.51/1.86 #Demod : 132
% 3.51/1.86 #Tautology : 126
% 3.51/1.86 #SimpNegUnit : 44
% 3.51/1.86 #BackRed : 61
% 3.51/1.86
% 3.51/1.86 #Partial instantiations: 0
% 3.51/1.86 #Strategies tried : 1
% 3.51/1.86
% 3.51/1.86 Timing (in seconds)
% 3.51/1.86 ----------------------
% 3.51/1.86 Preprocessing : 0.41
% 3.51/1.86 Parsing : 0.21
% 3.51/1.86 CNF conversion : 0.03
% 3.51/1.87 Main loop : 0.40
% 3.51/1.87 Inferencing : 0.14
% 3.51/1.87 Reduction : 0.10
% 3.51/1.87 Demodulation : 0.06
% 3.51/1.87 BG Simplification : 0.02
% 3.51/1.87 Subsumption : 0.08
% 3.51/1.87 Abstraction : 0.02
% 3.51/1.87 MUC search : 0.00
% 3.51/1.87 Cooper : 0.00
% 3.51/1.87 Total : 0.89
% 3.51/1.87 Index Insertion : 0.00
% 3.51/1.87 Index Deletion : 0.00
% 3.51/1.87 Index Matching : 0.00
% 3.51/1.87 BG Taut test : 0.00
%------------------------------------------------------------------------------