TSTP Solution File: NUN055+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUN055+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 : n017.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 10:53:19 EDT 2023
% Result : Theorem 19.61s 8.91s
% Output : CNFRefutation 19.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 35
% Syntax : Number of formulae : 120 ( 67 unt; 24 typ; 0 def)
% Number of atoms : 176 ( 64 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 140 ( 60 ~; 49 |; 31 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 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 : 204 (; 176 !; 28 ?; 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_170,axiom,
! [X6] :
( ? [Y19] :
( r1(Y19)
& ( X6 = Y19 ) )
| ? [Y1,Y11] :
( r2(Y1,Y11)
& ( X6 = Y11 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_6a) ).
tff(f_180,axiom,
! [X7,Y10] :
( ! [Y20] :
( ~ r1(Y20)
| ( Y20 != Y10 ) )
| ~ r2(X7,Y10) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).
tff(f_208,negated_conjecture,
~ ? [Y1] :
( ? [Y2] :
( ? [Y4] :
( r2(Y4,Y2)
& ? [Y6] :
( r1(Y6)
& r2(Y6,Y4) ) )
& ? [Y7] :
( r1(Y7)
& r3(Y7,Y2,Y1) ) )
& ? [Y3] :
( ( Y1 = Y3 )
& ? [Y5] :
( r2(Y5,Y3)
& ? [Y8] :
( r1(Y8)
& r2(Y8,Y5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplustwoeqtwo) ).
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_200,X14_201,X15_202] :
( ~ r3(X13_200,X14_201,X15_202)
| ( X15_202 = '#skF_3'(X13_200,X14_201) ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_514,plain,
! [X1_211,X8_212] : ( '#skF_3'(X1_211,X8_212) = '#skF_8'(X1_211,X8_212) ),
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_123] :
( ~ r1(X19_123)
| ( X19_123 = '#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_213] : ( '#skF_8'(X1_213,'#skF_1') = X1_213 ),
inference(superposition,[status(thm),theory(equality)],[c_514,c_488]) ).
tff(c_324,plain,
! [X1_175,X8_176] : r2('#skF_8'(X1_175,X8_176),'#skF_5'(X1_175,X8_176)),
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_175,X8_176] : ( '#skF_2'('#skF_8'(X1_175,X8_176)) = '#skF_5'(X1_175,X8_176) ),
inference(resolution,[status(thm)],[c_324,c_14]) ).
tff(c_536,plain,
! [X1_213] : ( '#skF_2'(X1_213) = '#skF_5'(X1_213,'#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_158,X12_159] :
( ~ r2(X11_158,X12_159)
| ( X12_159 = '#skF_2'(X11_158) ) ),
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_161,X8_162] : ( '#skF_7'(X1_161,X8_162) = '#skF_2'(X8_162) ),
inference(resolution,[status(thm)],[c_46,c_219]) ).
tff(c_259,plain,
! [X1_23,X8_24,X1_161] : ( '#skF_7'(X1_23,X8_24) = '#skF_7'(X1_161,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_215,X8_216] : r3(X1_215,'#skF_7'(X1_215,X8_216),'#skF_5'(X1_215,X8_216)),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_44]) ).
tff(c_575,plain,
! [X1_161,X1_23,X8_24] : r3(X1_161,'#skF_7'(X1_23,X8_24),'#skF_5'(X1_161,X8_24)),
inference(superposition,[status(thm),theory(equality)],[c_259,c_572]) ).
tff(c_1260,plain,
! [X1_293,X8_294] : r3(X1_293,'#skF_5'(X8_294,'#skF_1'),'#skF_5'(X1_293,X8_294)),
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_1326,plain,
! [X1_299,X8_300] : ( '#skF_8'(X1_299,'#skF_5'(X8_300,'#skF_1')) = '#skF_5'(X1_299,X8_300) ),
inference(resolution,[status(thm)],[c_1260,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_1346,plain,
! [X1_299,X8_300] : r2('#skF_5'(X1_299,X8_300),'#skF_5'(X1_299,'#skF_5'(X8_300,'#skF_1'))),
inference(superposition,[status(thm),theory(equality)],[c_1326,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_235,X17_236,X18_237] :
( ~ r4(X16_235,X17_236,X18_237)
| ( X18_237 = '#skF_4'(X16_235,X17_236) ) ),
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_258,X9_259] : ( '#skF_8'('#skF_4'(X2_258,X9_259),X2_258) = '#skF_9'(X2_258,X9_259) ),
inference(demodulation,[status(thm),theory(equality)],[c_485,c_678,c_484]) ).
tff(c_867,plain,
! [X5_260] : ( '#skF_8'('#skF_1',X5_260) = '#skF_9'(X5_260,'#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_681,c_837]) ).
tff(c_521,plain,
! [X1_211] : ( '#skF_8'(X1_211,'#skF_1') = X1_211 ),
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_859,plain,
! [X5_68] : ( '#skF_8'('#skF_1',X5_68) = '#skF_9'(X5_68,'#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_681,c_837]) ).
tff(c_1356,plain,
! [X8_300] : ( '#skF_9'('#skF_5'(X8_300,'#skF_1'),'#skF_1') = '#skF_5'('#skF_1',X8_300) ),
inference(superposition,[status(thm),theory(equality)],[c_859,c_1326]) ).
tff(c_281,plain,
! [X6_167] :
( ( '#skF_18'(X6_167) = X6_167 )
| ( '#skF_20'(X6_167) = X6_167 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_76,plain,
! [X6_76] :
( r1('#skF_18'(X6_76))
| ( '#skF_20'(X6_76) = X6_76 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_705,plain,
! [X6_241] :
( r1(X6_241)
| ( '#skF_20'(X6_241) = X6_241 )
| ( '#skF_20'(X6_241) = X6_241 ) ),
inference(superposition,[status(thm),theory(equality)],[c_281,c_76]) ).
tff(c_82,plain,
! [X7_80,Y20_83] :
( ~ r2(X7_80,Y20_83)
| ~ r1(Y20_83) ),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_334,plain,
! [X1_175,X8_176] : ~ r1('#skF_5'(X1_175,X8_176)),
inference(resolution,[status(thm)],[c_324,c_82]) ).
tff(c_720,plain,
! [X1_175,X8_176] : ( '#skF_20'('#skF_5'(X1_175,X8_176)) = '#skF_5'(X1_175,X8_176) ),
inference(resolution,[status(thm)],[c_705,c_334]) ).
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_401,plain,
! [X1_189,X8_190] : ( '#skF_2'('#skF_8'(X1_189,X8_190)) = '#skF_5'(X1_189,X8_190) ),
inference(resolution,[status(thm)],[c_324,c_14]) ).
tff(c_1012,plain,
! [X1_271,X1_272,X8_273] : ( '#skF_7'(X1_271,'#skF_8'(X1_272,X8_273)) = '#skF_5'(X1_272,X8_273) ),
inference(superposition,[status(thm),theory(equality)],[c_229,c_401]) ).
tff(c_2365,plain,
! [X1_351,X2_352,X9_353] : ( '#skF_7'(X1_351,'#skF_9'(X2_352,X9_353)) = '#skF_5'('#skF_4'(X2_352,X9_353),X2_352) ),
inference(superposition,[status(thm),theory(equality)],[c_836,c_1012]) ).
tff(c_2402,plain,
! [X2_352,X9_353,X1_351] : ( '#skF_5'('#skF_4'(X2_352,X9_353),X2_352) = '#skF_20'('#skF_7'(X1_351,'#skF_9'(X2_352,X9_353))) ),
inference(superposition,[status(thm),theory(equality)],[c_2365,c_720]) ).
tff(c_2565,plain,
! [X2_355,X9_356] : ( '#skF_5'('#skF_9'(X2_355,X9_356),'#skF_1') = '#skF_5'('#skF_4'(X2_355,X9_356),X2_355) ),
inference(demodulation,[status(thm),theory(equality)],[c_720,c_552,c_2402]) ).
tff(c_1259,plain,
! [X1_161,X8_24] : r3(X1_161,'#skF_5'(X8_24,'#skF_1'),'#skF_5'(X1_161,X8_24)),
inference(demodulation,[status(thm),theory(equality)],[c_552,c_575]) ).
tff(c_17121,plain,
! [X1_692,X2_693,X9_694] : r3(X1_692,'#skF_5'('#skF_4'(X2_693,X9_694),X2_693),'#skF_5'(X1_692,'#skF_9'(X2_693,X9_694))),
inference(superposition,[status(thm),theory(equality)],[c_2565,c_1259]) ).
tff(c_17238,plain,
! [X1_692,X8_300] : r3(X1_692,'#skF_5'('#skF_4'('#skF_5'(X8_300,'#skF_1'),'#skF_1'),'#skF_5'(X8_300,'#skF_1')),'#skF_5'(X1_692,'#skF_5'('#skF_1',X8_300))),
inference(superposition,[status(thm),theory(equality)],[c_1356,c_17121]) ).
tff(c_33634,plain,
! [X1_1064,X8_1065] : r3(X1_1064,'#skF_5'('#skF_1','#skF_5'(X8_1065,'#skF_1')),'#skF_5'(X1_1064,'#skF_5'('#skF_1',X8_1065))),
inference(demodulation,[status(thm),theory(equality)],[c_681,c_17238]) ).
tff(c_1274,plain,
! [X1_293,X8_294] : ( '#skF_8'(X1_293,'#skF_5'(X8_294,'#skF_1')) = '#skF_5'(X1_293,X8_294) ),
inference(resolution,[status(thm)],[c_1260,c_511]) ).
tff(c_1460,plain,
! [X1_304,X8_305] : ( '#skF_5'('#skF_8'(X1_304,X8_305),'#skF_1') = '#skF_5'(X1_304,X8_305) ),
inference(superposition,[status(thm),theory(equality)],[c_1012,c_552]) ).
tff(c_1507,plain,
! [X1_293,X8_294] : ( '#skF_5'('#skF_5'(X1_293,X8_294),'#skF_1') = '#skF_5'(X1_293,'#skF_5'(X8_294,'#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_1274,c_1460]) ).
tff(c_944,plain,
! [X5_268] : r2('#skF_9'(X5_268,'#skF_1'),'#skF_5'('#skF_1',X5_268)),
inference(superposition,[status(thm),theory(equality)],[c_867,c_40]) ).
tff(c_84,plain,
! [Y2_101,Y3_110,Y6_108,Y7_109,Y8_116,Y4_106,Y5_114] :
( ~ r2(Y8_116,Y5_114)
| ~ r1(Y8_116)
| ~ r2(Y5_114,Y3_110)
| ~ r3(Y7_109,Y2_101,Y3_110)
| ~ r1(Y7_109)
| ~ r2(Y6_108,Y4_106)
| ~ r1(Y6_108)
| ~ r2(Y4_106,Y2_101) ),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_1038,plain,
! [Y7_276,Y4_275,X5_278,Y3_277,Y2_279,Y6_274] :
( ~ r1('#skF_9'(X5_278,'#skF_1'))
| ~ r2('#skF_5'('#skF_1',X5_278),Y3_277)
| ~ r3(Y7_276,Y2_279,Y3_277)
| ~ r1(Y7_276)
| ~ r2(Y6_274,Y4_275)
| ~ r1(Y6_274)
| ~ r2(Y4_275,Y2_279) ),
inference(resolution,[status(thm)],[c_944,c_84]) ).
tff(c_1042,plain,
! [Y7_276,Y4_275,X5_278,Y2_279,Y6_274] :
( ~ r1('#skF_9'(X5_278,'#skF_1'))
| ~ r3(Y7_276,Y2_279,'#skF_5'('#skF_5'('#skF_1',X5_278),'#skF_1'))
| ~ r1(Y7_276)
| ~ r2(Y6_274,Y4_275)
| ~ r1(Y6_274)
| ~ r2(Y4_275,Y2_279) ),
inference(resolution,[status(thm)],[c_556,c_1038]) ).
tff(c_8774,plain,
! [Y7_276,Y4_275,X5_278,Y2_279,Y6_274] :
( ~ r1('#skF_9'(X5_278,'#skF_1'))
| ~ r3(Y7_276,Y2_279,'#skF_5'('#skF_1','#skF_5'(X5_278,'#skF_1')))
| ~ r1(Y7_276)
| ~ r2(Y6_274,Y4_275)
| ~ r1(Y6_274)
| ~ r2(Y4_275,Y2_279) ),
inference(demodulation,[status(thm),theory(equality)],[c_1507,c_1042]) ).
tff(c_33656,plain,
! [Y6_274,Y4_275] :
( ~ r1('#skF_9'('#skF_1','#skF_1'))
| ~ r1('#skF_1')
| ~ r2(Y6_274,Y4_275)
| ~ r1(Y6_274)
| ~ r2(Y4_275,'#skF_5'('#skF_1','#skF_5'('#skF_1','#skF_1'))) ),
inference(resolution,[status(thm)],[c_33634,c_8774]) ).
tff(c_45947,plain,
! [Y6_1239,Y4_1240] :
( ~ r2(Y6_1239,Y4_1240)
| ~ r1(Y6_1239)
| ~ r2(Y4_1240,'#skF_5'('#skF_1','#skF_5'('#skF_1','#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_7,c_874,c_33656]) ).
tff(c_46044,plain,
! [X11_1241] :
( ~ r1(X11_1241)
| ~ r2('#skF_5'(X11_1241,'#skF_1'),'#skF_5'('#skF_1','#skF_5'('#skF_1','#skF_1'))) ),
inference(resolution,[status(thm)],[c_556,c_45947]) ).
tff(c_46089,plain,
~ r1('#skF_1'),
inference(resolution,[status(thm)],[c_1346,c_46044]) ).
tff(c_46106,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7,c_46089]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUN055+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % 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 : n017.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 18:05:51 EDT 2023
% 0.14/0.36 % CPUTime :
% 19.61/8.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.61/8.92
% 19.61/8.92 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.72/8.96
% 19.72/8.96 Inference rules
% 19.72/8.96 ----------------------
% 19.72/8.96 #Ref : 0
% 19.72/8.96 #Sup : 13160
% 19.72/8.96 #Fact : 2
% 19.72/8.96 #Define : 0
% 19.72/8.96 #Split : 0
% 19.72/8.96 #Chain : 0
% 19.72/8.96 #Close : 0
% 19.72/8.96
% 19.72/8.96 Ordering : KBO
% 19.72/8.96
% 19.72/8.96 Simplification rules
% 19.72/8.96 ----------------------
% 19.72/8.96 #Subsume : 3984
% 19.72/8.96 #Demod : 9546
% 19.72/8.96 #Tautology : 2782
% 19.72/8.96 #SimpNegUnit : 149
% 19.72/8.96 #BackRed : 38
% 19.72/8.96
% 19.72/8.96 #Partial instantiations: 0
% 19.72/8.96 #Strategies tried : 1
% 19.72/8.96
% 19.72/8.96 Timing (in seconds)
% 19.72/8.96 ----------------------
% 19.72/8.97 Preprocessing : 0.55
% 19.72/8.97 Parsing : 0.27
% 19.85/8.97 CNF conversion : 0.05
% 19.85/8.97 Main loop : 7.38
% 19.85/8.97 Inferencing : 1.22
% 19.85/8.97 Reduction : 3.71
% 19.85/8.97 Demodulation : 3.22
% 19.85/8.97 BG Simplification : 0.12
% 19.85/8.97 Subsumption : 1.95
% 19.85/8.97 Abstraction : 0.19
% 19.85/8.97 MUC search : 0.00
% 19.85/8.97 Cooper : 0.00
% 19.85/8.97 Total : 7.99
% 19.85/8.97 Index Insertion : 0.00
% 19.85/8.97 Index Deletion : 0.00
% 19.85/8.97 Index Matching : 0.00
% 19.85/8.97 BG Taut test : 0.00
%------------------------------------------------------------------------------