TSTP Solution File: NUN060+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUN060+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 : n025.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 10:53:20 EDT 2023
% Result : Theorem 35.06s 22.58s
% Output : CNFRefutation 35.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 33
% Syntax : Number of formulae : 121 ( 74 unt; 24 typ; 0 def)
% Number of atoms : 154 ( 57 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 100 ( 43 ~; 30 |; 27 &)
% ( 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 : 217 (; 192 !; 25 ?; 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_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_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_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_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_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_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_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_202,negated_conjecture,
~ ? [Y1,Y2,Y3] :
( ( Y3 = Y1 )
& ? [Y4] :
( r3(Y2,Y4,Y3)
& ? [Y5] :
( r2(Y5,Y4)
& ? [Y6] :
( r2(Y6,Y5)
& ? [Y7] :
( r2(Y7,Y6)
& ? [Y8] :
( r1(Y8)
& r2(Y8,Y7) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greq4) ).
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_232,X14_233,X15_234] :
( ~ r3(X13_232,X14_233,X15_234)
| ( X15_234 = '#skF_3'(X13_232,X14_233) ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
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_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_668,plain,
! [X16_267,X17_268,X18_269] :
( ~ r4(X16_267,X17_268,X18_269)
| ( X18_269 = '#skF_4'(X16_267,X17_268) ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
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_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_324,plain,
! [X1_207,X8_208] : r2('#skF_8'(X1_207,X8_208),'#skF_5'(X1_207,X8_208)),
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_207,X8_208] : ( '#skF_2'('#skF_8'(X1_207,X8_208)) = '#skF_5'(X1_207,X8_208) ),
inference(resolution,[status(thm)],[c_324,c_14]) ).
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_219,plain,
! [X11_190,X12_191] :
( ~ r2(X11_190,X12_191)
| ( X12_191 = '#skF_2'(X11_190) ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
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_225,X9_226] : r4(X2_225,'#skF_2'(X9_226),'#skF_9'(X2_225,X9_226)),
inference(demodulation,[status(thm),theory(equality)],[c_230,c_87]) ).
tff(c_1948,plain,
! [X2_349,X1_350,X8_351] : r4(X2_349,'#skF_5'(X1_350,X8_351),'#skF_9'(X2_349,'#skF_8'(X1_350,X8_351))),
inference(superposition,[status(thm),theory(equality)],[c_333,c_438]) ).
tff(c_4900,plain,
! [X2_473,X2_474,X9_475] : r4(X2_473,'#skF_5'('#skF_4'(X2_474,X9_475),X2_474),'#skF_9'(X2_473,'#skF_9'(X2_474,X9_475))),
inference(superposition,[status(thm),theory(equality)],[c_836,c_1948]) ).
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_12011,plain,
! [X2_649,X2_650,X9_651] : ( '#skF_4'(X2_649,'#skF_5'('#skF_4'(X2_650,X9_651),X2_650)) = '#skF_9'(X2_649,'#skF_9'(X2_650,X9_651)) ),
inference(resolution,[status(thm)],[c_4900,c_32]) ).
tff(c_682,plain,
! [X2_39,X9_40] : r3('#skF_4'(X2_39,X9_40),X2_39,'#skF_9'(X2_39,X9_40)),
inference(demodulation,[status(thm),theory(equality)],[c_678,c_50]) ).
tff(c_12078,plain,
! [X2_649,X2_650,X9_651] : r3('#skF_9'(X2_649,'#skF_9'(X2_650,X9_651)),X2_649,'#skF_9'(X2_649,'#skF_5'('#skF_4'(X2_650,X9_651),X2_650))),
inference(superposition,[status(thm),theory(equality)],[c_12011,c_682]) ).
tff(c_514,plain,
! [X1_243,X8_244] : ( '#skF_3'(X1_243,X8_244) = '#skF_8'(X1_243,X8_244) ),
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_155] :
( ~ r1(X19_155)
| ( X19_155 = '#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_245] : ( '#skF_8'(X1_245,'#skF_1') = X1_245 ),
inference(superposition,[status(thm),theory(equality)],[c_514,c_488]) ).
tff(c_536,plain,
! [X1_245] : ( '#skF_2'(X1_245) = '#skF_5'(X1_245,'#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_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_193,X8_194] : ( '#skF_7'(X1_193,X8_194) = '#skF_2'(X8_194) ),
inference(resolution,[status(thm)],[c_46,c_219]) ).
tff(c_259,plain,
! [X1_23,X8_24,X1_193] : ( '#skF_7'(X1_23,X8_24) = '#skF_7'(X1_193,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_247,X8_248] : r3(X1_247,'#skF_7'(X1_247,X8_248),'#skF_5'(X1_247,X8_248)),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_44]) ).
tff(c_575,plain,
! [X1_193,X1_23,X8_24] : r3(X1_193,'#skF_7'(X1_23,X8_24),'#skF_5'(X1_193,X8_24)),
inference(superposition,[status(thm),theory(equality)],[c_259,c_572]) ).
tff(c_1260,plain,
! [X1_325,X8_326] : r3(X1_325,'#skF_5'(X8_326,'#skF_1'),'#skF_5'(X1_325,X8_326)),
inference(demodulation,[status(thm),theory(equality)],[c_552,c_575]) ).
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_1270,plain,
! [X1_325,X8_326] : ( '#skF_8'(X1_325,'#skF_5'(X8_326,'#skF_1')) = '#skF_5'(X1_325,X8_326) ),
inference(resolution,[status(thm)],[c_1260,c_511]) ).
tff(c_557,plain,
! [X1_246] : ( '#skF_2'(X1_246) = '#skF_5'(X1_246,'#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_530,c_333]) ).
tff(c_1423,plain,
! [X1_334,X8_335] : ( '#skF_5'('#skF_8'(X1_334,X8_335),'#skF_1') = '#skF_5'(X1_334,X8_335) ),
inference(superposition,[status(thm),theory(equality)],[c_557,c_333]) ).
tff(c_1467,plain,
! [X1_325,X8_326] : ( '#skF_5'('#skF_5'(X1_325,X8_326),'#skF_1') = '#skF_5'(X1_325,'#skF_5'(X8_326,'#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_1270,c_1423]) ).
tff(c_3428,plain,
! [X1_420,X8_421] : ( '#skF_5'('#skF_5'(X1_420,X8_421),'#skF_1') = '#skF_5'(X1_420,'#skF_5'(X8_421,'#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_1270,c_1423]) ).
tff(c_1377,plain,
! [X1_332,X8_333] : ( '#skF_8'(X1_332,'#skF_5'(X8_333,'#skF_1')) = '#skF_5'(X1_332,X8_333) ),
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_1397,plain,
! [X1_332,X8_333] : r2('#skF_5'(X1_332,X8_333),'#skF_5'(X1_332,'#skF_5'(X8_333,'#skF_1'))),
inference(superposition,[status(thm),theory(equality)],[c_1377,c_40]) ).
tff(c_3443,plain,
! [X1_420,X8_421] : r2('#skF_5'(X1_420,'#skF_5'(X8_421,'#skF_1')),'#skF_5'('#skF_5'(X1_420,X8_421),'#skF_5'('#skF_1','#skF_1'))),
inference(superposition,[status(thm),theory(equality)],[c_3428,c_1397]) ).
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_681,plain,
! [X5_68] : ( '#skF_4'(X5_68,'#skF_1') = '#skF_1' ),
inference(resolution,[status(thm)],[c_216,c_668]) ).
tff(c_837,plain,
! [X2_290,X9_291] : ( '#skF_8'('#skF_4'(X2_290,X9_291),X2_290) = '#skF_9'(X2_290,X9_291) ),
inference(demodulation,[status(thm),theory(equality)],[c_485,c_678,c_484]) ).
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_1410,plain,
! [X8_333] : ( '#skF_9'('#skF_5'(X8_333,'#skF_1'),'#skF_1') = '#skF_5'('#skF_1',X8_333) ),
inference(superposition,[status(thm),theory(equality)],[c_859,c_1377]) ).
tff(c_7,plain,
r1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_401,plain,
! [X1_221,X8_222] : ( '#skF_2'('#skF_8'(X1_221,X8_222)) = '#skF_5'(X1_221,X8_222) ),
inference(resolution,[status(thm)],[c_324,c_14]) ).
tff(c_1012,plain,
! [X1_303,X1_304,X8_305] : ( '#skF_7'(X1_303,'#skF_8'(X1_304,X8_305)) = '#skF_5'(X1_304,X8_305) ),
inference(superposition,[status(thm),theory(equality)],[c_229,c_401]) ).
tff(c_1272,plain,
! [X1_327,X5_328] : ( '#skF_7'(X1_327,'#skF_9'(X5_328,'#skF_1')) = '#skF_5'('#skF_1',X5_328) ),
inference(superposition,[status(thm),theory(equality)],[c_859,c_1012]) ).
tff(c_1278,plain,
! [X5_328] : ( '#skF_5'('#skF_9'(X5_328,'#skF_1'),'#skF_1') = '#skF_5'('#skF_1',X5_328) ),
inference(superposition,[status(thm),theory(equality)],[c_1272,c_552]) ).
tff(c_2145,plain,
! [X1_363,X8_364] : r2('#skF_5'(X1_363,X8_364),'#skF_5'(X1_363,'#skF_5'(X8_364,'#skF_1'))),
inference(superposition,[status(thm),theory(equality)],[c_1377,c_40]) ).
tff(c_11307,plain,
! [X5_622] : r2('#skF_5'('#skF_1',X5_622),'#skF_5'('#skF_9'(X5_622,'#skF_1'),'#skF_5'('#skF_1','#skF_1'))),
inference(superposition,[status(thm),theory(equality)],[c_1278,c_2145]) ).
tff(c_16,plain,
! [X11_3] : r2(X11_3,'#skF_2'(X11_3)),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_579,plain,
! [X11_249] : r2(X11_249,'#skF_5'(X11_249,'#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_536,c_16]) ).
tff(c_172,plain,
! [X8_169,X1_170] : r2(X8_169,'#skF_7'(X1_170,X8_169)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_84,plain,
! [Y7_146,Y2_85,Y5_134,Y6_142,Y8_148,Y3_86,Y4_118] :
( ~ r2(Y8_148,Y7_146)
| ~ r1(Y8_148)
| ~ r2(Y7_146,Y6_142)
| ~ r2(Y6_142,Y5_134)
| ~ r2(Y5_134,Y4_118)
| ~ r3(Y2_85,Y4_118,Y3_86) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_175,plain,
! [Y2_85,Y5_134,Y6_142,Y3_86,X1_170,X8_169,Y4_118] :
( ~ r1(X8_169)
| ~ r2('#skF_7'(X1_170,X8_169),Y6_142)
| ~ r2(Y6_142,Y5_134)
| ~ r2(Y5_134,Y4_118)
| ~ r3(Y2_85,Y4_118,Y3_86) ),
inference(resolution,[status(thm)],[c_172,c_84]) ).
tff(c_592,plain,
! [Y2_85,Y5_134,Y3_86,X1_170,X8_169,Y4_118] :
( ~ r1(X8_169)
| ~ r2('#skF_5'('#skF_7'(X1_170,X8_169),'#skF_1'),Y5_134)
| ~ r2(Y5_134,Y4_118)
| ~ r3(Y2_85,Y4_118,Y3_86) ),
inference(resolution,[status(thm)],[c_579,c_175]) ).
tff(c_3925,plain,
! [Y2_85,Y5_134,Y3_86,X8_169,Y4_118] :
( ~ r1(X8_169)
| ~ r2('#skF_5'(X8_169,'#skF_5'('#skF_1','#skF_1')),Y5_134)
| ~ r2(Y5_134,Y4_118)
| ~ r3(Y2_85,Y4_118,Y3_86) ),
inference(demodulation,[status(thm),theory(equality)],[c_1467,c_552,c_592]) ).
tff(c_11332,plain,
! [Y4_118,Y2_85,Y3_86] :
( ~ r1('#skF_1')
| ~ r2('#skF_5'('#skF_9'('#skF_5'('#skF_1','#skF_1'),'#skF_1'),'#skF_5'('#skF_1','#skF_1')),Y4_118)
| ~ r3(Y2_85,Y4_118,Y3_86) ),
inference(resolution,[status(thm)],[c_11307,c_3925]) ).
tff(c_107749,plain,
! [Y4_2176,Y2_2177,Y3_2178] :
( ~ r2('#skF_5'('#skF_5'('#skF_1','#skF_1'),'#skF_5'('#skF_1','#skF_1')),Y4_2176)
| ~ r3(Y2_2177,Y4_2176,Y3_2178) ),
inference(demodulation,[status(thm),theory(equality)],[c_1410,c_7,c_11332]) ).
tff(c_107752,plain,
! [Y2_2177,Y3_2178] : ~ r3(Y2_2177,'#skF_5'('#skF_5'('#skF_5'('#skF_1','#skF_1'),'#skF_1'),'#skF_5'('#skF_1','#skF_1')),Y3_2178),
inference(resolution,[status(thm)],[c_3443,c_107749]) ).
tff(c_107779,plain,
! [Y2_2179,Y3_2180] : ~ r3(Y2_2179,'#skF_5'('#skF_5'('#skF_1','#skF_5'('#skF_1','#skF_1')),'#skF_5'('#skF_1','#skF_1')),Y3_2180),
inference(demodulation,[status(thm),theory(equality)],[c_1467,c_107752]) ).
tff(c_107831,plain,
$false,
inference(resolution,[status(thm)],[c_12078,c_107779]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN060+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 18:52:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 35.06/22.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.23/22.62
% 35.23/22.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 35.23/22.66
% 35.23/22.66 Inference rules
% 35.23/22.66 ----------------------
% 35.23/22.66 #Ref : 0
% 35.23/22.66 #Sup : 31939
% 35.23/22.66 #Fact : 4
% 35.23/22.66 #Define : 0
% 35.23/22.66 #Split : 0
% 35.23/22.66 #Chain : 0
% 35.23/22.66 #Close : 0
% 35.23/22.66
% 35.23/22.66 Ordering : KBO
% 35.23/22.66
% 35.23/22.66 Simplification rules
% 35.23/22.66 ----------------------
% 35.23/22.66 #Subsume : 11647
% 35.23/22.66 #Demod : 24772
% 35.23/22.66 #Tautology : 4915
% 35.23/22.66 #SimpNegUnit : 429
% 35.23/22.66 #BackRed : 40
% 35.23/22.66
% 35.23/22.66 #Partial instantiations: 0
% 35.23/22.66 #Strategies tried : 1
% 35.23/22.66
% 35.23/22.66 Timing (in seconds)
% 35.23/22.66 ----------------------
% 35.23/22.67 Preprocessing : 0.65
% 35.23/22.67 Parsing : 0.33
% 35.23/22.67 CNF conversion : 0.06
% 35.46/22.67 Main loop : 20.84
% 35.46/22.67 Inferencing : 2.32
% 35.46/22.67 Reduction : 11.03
% 35.46/22.67 Demodulation : 9.62
% 35.46/22.67 BG Simplification : 0.23
% 35.46/22.67 Subsumption : 6.24
% 35.46/22.67 Abstraction : 0.42
% 35.46/22.67 MUC search : 0.00
% 35.46/22.67 Cooper : 0.00
% 35.46/22.67 Total : 21.59
% 35.46/22.67 Index Insertion : 0.00
% 35.46/22.67 Index Deletion : 0.00
% 35.46/22.67 Index Matching : 0.00
% 35.46/22.67 BG Taut test : 0.00
%------------------------------------------------------------------------------