TSTP Solution File: NUN072+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUN072+2 : TPTP v8.1.2. Released v7.3.0.
% 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 : n014.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 10:53:23 EDT 2023
% Result : Theorem 228.62s 187.82s
% Output : CNFRefutation 228.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 33
% Syntax : Number of formulae : 125 ( 74 unt; 24 typ; 0 def)
% Number of atoms : 188 ( 58 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 159 ( 72 ~; 57 |; 30 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 23 >; 15 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 1 con; 0-2 aty)
% Number of variables : 223 (; 197 !; 26 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r4 > r3 > r2 > r1 > #nlpp > #skF_11 > #skF_16 > #skF_6 > #skF_2 > #skF_18 > #skF_19 > #skF_3 > #skF_15 > #skF_12 > #skF_10 > #skF_1 > #skF_8 > #skF_13 > #skF_17 > #skF_14 > #skF_7 > #skF_9 > #skF_5 > #skF_4 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(r2,type,
r2: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(r3,type,
r3: ( $i * $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(r4,type,
r4: ( $i * $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(r1,type,
r1: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(f_63,axiom,
? [Y24] :
! [X19] :
( ( ~ r1(X19)
& ( X19 != Y24 ) )
| ( r1(X19)
& ( X19 = Y24 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
tff(f_114,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) )
& ( Y5 = Y4 ) )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
tff(f_87,axiom,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( ~ r3(X13,X14,X15)
& ( X15 != Y22 ) )
| ( r3(X13,X14,X15)
& ( X15 = Y22 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
tff(f_149,axiom,
! [X4] :
? [Y9] :
( ? [Y16] :
( r1(Y16)
& r3(X4,Y16,Y9) )
& ( Y9 = X4 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
tff(f_75,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( ~ r2(X11,X12)
& ( X12 != Y21 ) )
| ( r2(X11,X12)
& ( X12 = Y21 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
tff(f_160,axiom,
! [X5] :
? [Y8] :
( ? [Y17] :
( r1(Y17)
& r4(X5,Y17,Y8) )
& ? [Y18] :
( r1(Y18)
& ( Y8 = Y18 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
tff(f_99,axiom,
! [X16,X17] :
? [Y23] :
! [X18] :
( ( ~ r4(X16,X17,X18)
& ( X18 != Y23 ) )
| ( r4(X16,X17,X18)
& ( X18 = Y23 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
tff(f_128,axiom,
! [X2,X9] :
? [Y2] :
( ? [Y3] :
( ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) )
& ( Y3 = Y2 ) )
& ? [Y6] :
( r3(Y6,X2,Y2)
& r4(X2,X9,Y6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
tff(f_211,negated_conjecture,
~ ? [Y1] :
( ? [Y2] :
( ? [Y4] :
( r2(Y4,Y2)
& ? [Y7] :
( r1(Y7)
& r2(Y7,Y4) ) )
& ? [Y5] :
( r4(Y5,Y2,Y1)
& ? [Y8] :
( r1(Y8)
& r2(Y8,Y5) ) ) )
& ? [Y3] :
( ( Y1 = Y3 )
& ? [Y6] :
( r2(Y6,Y3)
& ? [Y9] :
( r1(Y9)
& r2(Y9,Y6) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',onetimestwoeqtwo) ).
tff(c_7,plain,
r1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_38,plain,
! [X1_23,X8_24] : r3(X1_23,X8_24,'#skF_8'(X1_23,X8_24)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_471,plain,
! [X13_211,X14_212,X15_213] :
( ~ r3(X13_211,X14_212,X15_213)
| ( X15_213 = '#skF_3'(X13_211,X14_212) ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_514,plain,
! [X1_223,X8_224] : ( '#skF_3'(X1_223,X8_224) = '#skF_8'(X1_223,X8_224) ),
inference(resolution,[status(thm)],[c_38,c_471]) ).
tff(c_64,plain,
! [X4_63] : r1('#skF_14'(X4_63)),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_111,plain,
! [X19_131] :
( ~ r1(X19_131)
| ( X19_131 = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_125,plain,
! [X4_63] : ( '#skF_14'(X4_63) = '#skF_1' ),
inference(resolution,[status(thm)],[c_64,c_111]) ).
tff(c_60,plain,
! [X4_63] : ( '#skF_13'(X4_63) = X4_63 ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_62,plain,
! [X4_63] : r3(X4_63,'#skF_14'(X4_63),'#skF_13'(X4_63)),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_86,plain,
! [X4_63] : r3(X4_63,'#skF_14'(X4_63),X4_63),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_62]) ).
tff(c_205,plain,
! [X4_63] : r3(X4_63,'#skF_1',X4_63),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_86]) ).
tff(c_488,plain,
! [X4_63] : ( '#skF_3'(X4_63,'#skF_1') = X4_63 ),
inference(resolution,[status(thm)],[c_205,c_471]) ).
tff(c_530,plain,
! [X1_225] : ( '#skF_8'(X1_225,'#skF_1') = X1_225 ),
inference(superposition,[status(thm),theory(equality)],[c_514,c_488]) ).
tff(c_324,plain,
! [X1_185,X8_186] : r2('#skF_8'(X1_185,X8_186),'#skF_5'(X1_185,X8_186)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_14,plain,
! [X11_3,X12_8] :
( ~ r2(X11_3,X12_8)
| ( X12_8 = '#skF_2'(X11_3) ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_333,plain,
! [X1_185,X8_186] : ( '#skF_2'('#skF_8'(X1_185,X8_186)) = '#skF_5'(X1_185,X8_186) ),
inference(resolution,[status(thm)],[c_324,c_14]) ).
tff(c_536,plain,
! [X1_225] : ( '#skF_2'(X1_225) = '#skF_5'(X1_225,'#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_530,c_333]) ).
tff(c_46,plain,
! [X8_24,X1_23] : r2(X8_24,'#skF_7'(X1_23,X8_24)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_219,plain,
! [X11_168,X12_169] :
( ~ r2(X11_168,X12_169)
| ( X12_169 = '#skF_2'(X11_168) ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_229,plain,
! [X1_23,X8_24] : ( '#skF_7'(X1_23,X8_24) = '#skF_2'(X8_24) ),
inference(resolution,[status(thm)],[c_46,c_219]) ).
tff(c_552,plain,
! [X1_23,X8_24] : ( '#skF_7'(X1_23,X8_24) = '#skF_5'(X8_24,'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_536,c_229]) ).
tff(c_238,plain,
! [X1_171,X8_172] : ( '#skF_7'(X1_171,X8_172) = '#skF_2'(X8_172) ),
inference(resolution,[status(thm)],[c_46,c_219]) ).
tff(c_259,plain,
! [X1_23,X8_24,X1_171] : ( '#skF_7'(X1_23,X8_24) = '#skF_7'(X1_171,X8_24) ),
inference(superposition,[status(thm),theory(equality)],[c_229,c_238]) ).
tff(c_42,plain,
! [X1_23,X8_24] : ( '#skF_6'(X1_23,X8_24) = '#skF_5'(X1_23,X8_24) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_44,plain,
! [X1_23,X8_24] : r3(X1_23,'#skF_7'(X1_23,X8_24),'#skF_6'(X1_23,X8_24)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_572,plain,
! [X1_227,X8_228] : r3(X1_227,'#skF_7'(X1_227,X8_228),'#skF_5'(X1_227,X8_228)),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_44]) ).
tff(c_575,plain,
! [X1_171,X1_23,X8_24] : r3(X1_171,'#skF_7'(X1_23,X8_24),'#skF_5'(X1_171,X8_24)),
inference(superposition,[status(thm),theory(equality)],[c_259,c_572]) ).
tff(c_1269,plain,
! [X1_310,X8_311] : r3(X1_310,'#skF_5'(X8_311,'#skF_1'),'#skF_5'(X1_310,X8_311)),
inference(demodulation,[status(thm),theory(equality)],[c_552,c_575]) ).
tff(c_485,plain,
! [X1_23,X8_24] : ( '#skF_3'(X1_23,X8_24) = '#skF_8'(X1_23,X8_24) ),
inference(resolution,[status(thm)],[c_38,c_471]) ).
tff(c_23,plain,
! [X13_9,X14_10,X15_15] :
( ~ r3(X13_9,X14_10,X15_15)
| ( X15_15 = '#skF_3'(X13_9,X14_10) ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_511,plain,
! [X13_9,X14_10,X15_15] :
( ~ r3(X13_9,X14_10,X15_15)
| ( X15_15 = '#skF_8'(X13_9,X14_10) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_485,c_23]) ).
tff(c_1506,plain,
! [X1_323,X8_324] : ( '#skF_8'(X1_323,'#skF_5'(X8_324,'#skF_1')) = '#skF_5'(X1_323,X8_324) ),
inference(resolution,[status(thm)],[c_1269,c_511]) ).
tff(c_40,plain,
! [X1_23,X8_24] : r2('#skF_8'(X1_23,X8_24),'#skF_5'(X1_23,X8_24)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_1529,plain,
! [X1_323,X8_324] : r2('#skF_5'(X1_323,X8_324),'#skF_5'(X1_323,'#skF_5'(X8_324,'#skF_1'))),
inference(superposition,[status(thm),theory(equality)],[c_1506,c_40]) ).
tff(c_16,plain,
! [X11_3] : r2(X11_3,'#skF_2'(X11_3)),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_556,plain,
! [X11_3] : r2(X11_3,'#skF_5'(X11_3,'#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_536,c_16]) ).
tff(c_68,plain,
! [X5_68] : r1('#skF_17'(X5_68)),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_126,plain,
! [X5_68] : ( '#skF_17'(X5_68) = '#skF_1' ),
inference(resolution,[status(thm)],[c_68,c_111]) ).
tff(c_72,plain,
! [X5_68] : r1('#skF_16'(X5_68)),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_124,plain,
! [X5_68] : ( '#skF_16'(X5_68) = '#skF_1' ),
inference(resolution,[status(thm)],[c_72,c_111]) ).
tff(c_66,plain,
! [X5_68] : ( '#skF_15'(X5_68) = '#skF_17'(X5_68) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_70,plain,
! [X5_68] : r4(X5_68,'#skF_16'(X5_68),'#skF_15'(X5_68)),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_85,plain,
! [X5_68] : r4(X5_68,'#skF_16'(X5_68),'#skF_17'(X5_68)),
inference(demodulation,[status(thm),theory(equality)],[c_66,c_70]) ).
tff(c_216,plain,
! [X5_68] : r4(X5_68,'#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_85]) ).
tff(c_668,plain,
! [X16_248,X17_249,X18_250] :
( ~ r4(X16_248,X17_249,X18_250)
| ( X18_250 = '#skF_4'(X16_248,X17_249) ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_681,plain,
! [X5_68] : ( '#skF_4'(X5_68,'#skF_1') = '#skF_1' ),
inference(resolution,[status(thm)],[c_216,c_668]) ).
tff(c_48,plain,
! [X2_39,X9_40] : r4(X2_39,X9_40,'#skF_12'(X2_39,X9_40)),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_678,plain,
! [X2_39,X9_40] : ( '#skF_12'(X2_39,X9_40) = '#skF_4'(X2_39,X9_40) ),
inference(resolution,[status(thm)],[c_48,c_668]) ).
tff(c_50,plain,
! [X2_39,X9_40] : r3('#skF_12'(X2_39,X9_40),X2_39,'#skF_9'(X2_39,X9_40)),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_484,plain,
! [X2_39,X9_40] : ( '#skF_3'('#skF_12'(X2_39,X9_40),X2_39) = '#skF_9'(X2_39,X9_40) ),
inference(resolution,[status(thm)],[c_50,c_471]) ).
tff(c_837,plain,
! [X2_272,X9_273] : ( '#skF_8'('#skF_4'(X2_272,X9_273),X2_272) = '#skF_9'(X2_272,X9_273) ),
inference(demodulation,[status(thm),theory(equality)],[c_485,c_678,c_484]) ).
tff(c_867,plain,
! [X5_274] : ( '#skF_8'('#skF_1',X5_274) = '#skF_9'(X5_274,'#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_681,c_837]) ).
tff(c_521,plain,
! [X1_223] : ( '#skF_8'(X1_223,'#skF_1') = X1_223 ),
inference(superposition,[status(thm),theory(equality)],[c_514,c_488]) ).
tff(c_874,plain,
'#skF_9'('#skF_1','#skF_1') = '#skF_1',
inference(superposition,[status(thm),theory(equality)],[c_867,c_521]) ).
tff(c_56,plain,
! [X9_40,X2_39] : r2(X9_40,'#skF_11'(X2_39,X9_40)),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_230,plain,
! [X2_39,X9_40] : ( '#skF_11'(X2_39,X9_40) = '#skF_2'(X9_40) ),
inference(resolution,[status(thm)],[c_56,c_219]) ).
tff(c_52,plain,
! [X2_39,X9_40] : ( '#skF_10'(X2_39,X9_40) = '#skF_9'(X2_39,X9_40) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_54,plain,
! [X2_39,X9_40] : r4(X2_39,'#skF_11'(X2_39,X9_40),'#skF_10'(X2_39,X9_40)),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_87,plain,
! [X2_39,X9_40] : r4(X2_39,'#skF_11'(X2_39,X9_40),'#skF_9'(X2_39,X9_40)),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_54]) ).
tff(c_438,plain,
! [X2_204,X9_205] : r4(X2_204,'#skF_2'(X9_205),'#skF_9'(X2_204,X9_205)),
inference(demodulation,[status(thm),theory(equality)],[c_230,c_87]) ).
tff(c_444,plain,
! [X2_204,X1_23,X8_24] : r4(X2_204,'#skF_7'(X1_23,X8_24),'#skF_9'(X2_204,X8_24)),
inference(superposition,[status(thm),theory(equality)],[c_229,c_438]) ).
tff(c_1109,plain,
! [X2_298,X8_299] : r4(X2_298,'#skF_5'(X8_299,'#skF_1'),'#skF_9'(X2_298,X8_299)),
inference(demodulation,[status(thm),theory(equality)],[c_552,c_444]) ).
tff(c_32,plain,
! [X16_16,X17_17,X18_22] :
( ~ r4(X16_16,X17_17,X18_22)
| ( X18_22 = '#skF_4'(X16_16,X17_17) ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_1468,plain,
! [X2_321,X8_322] : ( '#skF_4'(X2_321,'#skF_5'(X8_322,'#skF_1')) = '#skF_9'(X2_321,X8_322) ),
inference(resolution,[status(thm)],[c_1109,c_32]) ).
tff(c_836,plain,
! [X2_39,X9_40] : ( '#skF_8'('#skF_4'(X2_39,X9_40),X2_39) = '#skF_9'(X2_39,X9_40) ),
inference(demodulation,[status(thm),theory(equality)],[c_485,c_678,c_484]) ).
tff(c_1477,plain,
! [X2_321,X8_322] : ( '#skF_8'('#skF_9'(X2_321,X8_322),X2_321) = '#skF_9'(X2_321,'#skF_5'(X8_322,'#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_1468,c_836]) ).
tff(c_944,plain,
! [X5_283] : r2('#skF_9'(X5_283,'#skF_1'),'#skF_5'('#skF_1',X5_283)),
inference(superposition,[status(thm),theory(equality)],[c_867,c_40]) ).
tff(c_553,plain,
! [X11_3,X12_8] :
( ~ r2(X11_3,X12_8)
| ( X12_8 = '#skF_5'(X11_3,'#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_536,c_14]) ).
tff(c_1389,plain,
! [X5_318] : ( '#skF_5'('#skF_9'(X5_318,'#skF_1'),'#skF_1') = '#skF_5'('#skF_1',X5_318) ),
inference(resolution,[status(thm)],[c_944,c_553]) ).
tff(c_1268,plain,
! [X1_171,X8_24] : r3(X1_171,'#skF_5'(X8_24,'#skF_1'),'#skF_5'(X1_171,X8_24)),
inference(demodulation,[status(thm),theory(equality)],[c_552,c_575]) ).
tff(c_3234,plain,
! [X5_408] : r3('#skF_9'(X5_408,'#skF_1'),'#skF_5'('#skF_1','#skF_1'),'#skF_5'('#skF_1',X5_408)),
inference(superposition,[status(thm),theory(equality)],[c_1389,c_1268]) ).
tff(c_5989,plain,
! [X5_498] : ( '#skF_8'('#skF_9'(X5_498,'#skF_1'),'#skF_5'('#skF_1','#skF_1')) = '#skF_5'('#skF_1',X5_498) ),
inference(resolution,[status(thm)],[c_3234,c_511]) ).
tff(c_6054,plain,
'#skF_9'('#skF_5'('#skF_1','#skF_1'),'#skF_5'('#skF_1','#skF_1')) = '#skF_5'('#skF_1','#skF_5'('#skF_1','#skF_1')),
inference(superposition,[status(thm),theory(equality)],[c_1477,c_5989]) ).
tff(c_1279,plain,
! [X1_310,X8_311] : ( '#skF_8'(X1_310,'#skF_5'(X8_311,'#skF_1')) = '#skF_5'(X1_310,X8_311) ),
inference(resolution,[status(thm)],[c_1269,c_511]) ).
tff(c_1924,plain,
! [X2_333,X1_334,X8_335] : r4(X2_333,'#skF_5'(X1_334,X8_335),'#skF_9'(X2_333,'#skF_8'(X1_334,X8_335))),
inference(superposition,[status(thm),theory(equality)],[c_333,c_438]) ).
tff(c_1933,plain,
! [X2_333,X1_310,X8_311] : r4(X2_333,'#skF_5'(X1_310,'#skF_5'(X8_311,'#skF_1')),'#skF_9'(X2_333,'#skF_5'(X1_310,X8_311))),
inference(superposition,[status(thm),theory(equality)],[c_1279,c_1924]) ).
tff(c_47185,plain,
r4('#skF_5'('#skF_1','#skF_1'),'#skF_5'('#skF_1','#skF_5'('#skF_1','#skF_1')),'#skF_5'('#skF_1','#skF_5'('#skF_1','#skF_1'))),
inference(superposition,[status(thm),theory(equality)],[c_6054,c_1933]) ).
tff(c_557,plain,
! [X1_226] : ( '#skF_2'(X1_226) = '#skF_5'(X1_226,'#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_530,c_333]) ).
tff(c_563,plain,
! [X1_185,X8_186] : ( '#skF_5'('#skF_8'(X1_185,X8_186),'#skF_1') = '#skF_5'(X1_185,X8_186) ),
inference(superposition,[status(thm),theory(equality)],[c_557,c_333]) ).
tff(c_1512,plain,
! [X1_323,X8_324] : ( '#skF_5'('#skF_5'(X1_323,X8_324),'#skF_1') = '#skF_5'(X1_323,'#skF_5'(X8_324,'#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_1506,c_563]) ).
tff(c_880,plain,
! [X5_274] : r2('#skF_9'(X5_274,'#skF_1'),'#skF_5'('#skF_1',X5_274)),
inference(superposition,[status(thm),theory(equality)],[c_867,c_40]) ).
tff(c_84,plain,
! [Y2_105,Y7_114,Y9_124,Y8_117,Y4_112,Y6_122,Y3_118,Y5_115] :
( ~ r2(Y9_124,Y6_122)
| ~ r1(Y9_124)
| ~ r2(Y6_122,Y3_118)
| ~ r2(Y8_117,Y5_115)
| ~ r1(Y8_117)
| ~ r4(Y5_115,Y2_105,Y3_118)
| ~ r2(Y7_114,Y4_112)
| ~ r1(Y7_114)
| ~ r2(Y4_112,Y2_105) ),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_489,plain,
! [X8_215,Y3_216,X1_218,Y2_219,Y4_220,Y5_217,Y8_214,Y7_221] :
( ~ r1('#skF_8'(X1_218,X8_215))
| ~ r2('#skF_5'(X1_218,X8_215),Y3_216)
| ~ r2(Y8_214,Y5_217)
| ~ r1(Y8_214)
| ~ r4(Y5_217,Y2_219,Y3_216)
| ~ r2(Y7_221,Y4_220)
| ~ r1(Y7_221)
| ~ r2(Y4_220,Y2_219) ),
inference(resolution,[status(thm)],[c_324,c_84]) ).
tff(c_497,plain,
! [X8_215,X1_218,Y2_219,Y4_220,Y5_217,Y8_214,Y7_221] :
( ~ r1('#skF_8'(X1_218,X8_215))
| ~ r2(Y8_214,Y5_217)
| ~ r1(Y8_214)
| ~ r4(Y5_217,Y2_219,'#skF_2'('#skF_5'(X1_218,X8_215)))
| ~ r2(Y7_221,Y4_220)
| ~ r1(Y7_221)
| ~ r2(Y4_220,Y2_219) ),
inference(resolution,[status(thm)],[c_16,c_489]) ).
tff(c_2418,plain,
! [X1_365,Y4_366,Y7_362,Y5_368,Y2_364,X8_367,Y8_363] :
( ~ r1('#skF_8'(X1_365,X8_367))
| ~ r2(Y8_363,Y5_368)
| ~ r1(Y8_363)
| ~ r4(Y5_368,Y2_364,'#skF_5'('#skF_5'(X1_365,X8_367),'#skF_1'))
| ~ r2(Y7_362,Y4_366)
| ~ r1(Y7_362)
| ~ r2(Y4_366,Y2_364) ),
inference(demodulation,[status(thm),theory(equality)],[c_536,c_497]) ).
tff(c_2447,plain,
! [X1_365,Y4_366,X5_274,Y7_362,Y2_364,X8_367] :
( ~ r1('#skF_8'(X1_365,X8_367))
| ~ r1('#skF_9'(X5_274,'#skF_1'))
| ~ r4('#skF_5'('#skF_1',X5_274),Y2_364,'#skF_5'('#skF_5'(X1_365,X8_367),'#skF_1'))
| ~ r2(Y7_362,Y4_366)
| ~ r1(Y7_362)
| ~ r2(Y4_366,Y2_364) ),
inference(resolution,[status(thm)],[c_880,c_2418]) ).
tff(c_249059,plain,
! [X1_365,Y4_366,X5_274,Y7_362,Y2_364,X8_367] :
( ~ r1('#skF_8'(X1_365,X8_367))
| ~ r1('#skF_9'(X5_274,'#skF_1'))
| ~ r4('#skF_5'('#skF_1',X5_274),Y2_364,'#skF_5'(X1_365,'#skF_5'(X8_367,'#skF_1')))
| ~ r2(Y7_362,Y4_366)
| ~ r1(Y7_362)
| ~ r2(Y4_366,Y2_364) ),
inference(demodulation,[status(thm),theory(equality)],[c_1512,c_2447]) ).
tff(c_467707,plain,
! [Y7_362,Y4_366] :
( ~ r1('#skF_8'('#skF_1','#skF_1'))
| ~ r1('#skF_9'('#skF_1','#skF_1'))
| ~ r2(Y7_362,Y4_366)
| ~ r1(Y7_362)
| ~ r2(Y4_366,'#skF_5'('#skF_1','#skF_5'('#skF_1','#skF_1'))) ),
inference(resolution,[status(thm)],[c_47185,c_249059]) ).
tff(c_467756,plain,
! [Y7_4739,Y4_4740] :
( ~ r2(Y7_4739,Y4_4740)
| ~ r1(Y7_4739)
| ~ r2(Y4_4740,'#skF_5'('#skF_1','#skF_5'('#skF_1','#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_874,c_7,c_521,c_467707]) ).
tff(c_468171,plain,
! [X11_4741] :
( ~ r1(X11_4741)
| ~ r2('#skF_5'(X11_4741,'#skF_1'),'#skF_5'('#skF_1','#skF_5'('#skF_1','#skF_1'))) ),
inference(resolution,[status(thm)],[c_556,c_467756]) ).
tff(c_468318,plain,
~ r1('#skF_1'),
inference(resolution,[status(thm)],[c_1529,c_468171]) ).
tff(c_468337,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7,c_468318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN072+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 18:35:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 228.62/187.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 228.62/187.84
% 228.62/187.84 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 228.70/187.88
% 228.70/187.88 Inference rules
% 228.70/187.88 ----------------------
% 228.70/187.88 #Ref : 0
% 228.70/187.88 #Sup : 138756
% 228.70/187.88 #Fact : 10
% 228.70/187.88 #Define : 0
% 228.70/187.88 #Split : 0
% 228.70/187.88 #Chain : 0
% 228.70/187.88 #Close : 0
% 228.70/187.88
% 228.70/187.88 Ordering : KBO
% 228.70/187.88
% 228.70/187.88 Simplification rules
% 228.70/187.88 ----------------------
% 228.70/187.88 #Subsume : 48603
% 228.70/187.88 #Demod : 106027
% 228.70/187.88 #Tautology : 16894
% 228.70/187.88 #SimpNegUnit : 1126
% 228.70/187.88 #BackRed : 56
% 228.70/187.88
% 228.70/187.88 #Partial instantiations: 0
% 228.70/187.88 #Strategies tried : 1
% 228.70/187.88
% 228.70/187.88 Timing (in seconds)
% 228.70/187.88 ----------------------
% 228.70/187.89 Preprocessing : 0.55
% 228.70/187.89 Parsing : 0.27
% 228.70/187.89 CNF conversion : 0.05
% 228.70/187.89 Main loop : 186.17
% 228.70/187.89 Inferencing : 9.57
% 228.70/187.89 Reduction : 85.39
% 228.70/187.89 Demodulation : 76.98
% 228.70/187.89 BG Simplification : 0.94
% 228.70/187.89 Subsumption : 79.10
% 228.70/187.89 Abstraction : 2.21
% 228.70/187.89 MUC search : 0.00
% 228.70/187.89 Cooper : 0.00
% 228.70/187.89 Total : 186.80
% 228.70/187.89 Index Insertion : 0.00
% 228.70/187.89 Index Deletion : 0.00
% 228.70/187.89 Index Matching : 0.00
% 228.70/187.89 BG Taut test : 0.00
%------------------------------------------------------------------------------