TSTP Solution File: NUN081+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUN081+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n026.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 10:53:25 EDT 2023
% Result : Theorem 10.05s 3.58s
% Output : CNFRefutation 10.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 33
% Syntax : Number of formulae : 105 ( 60 unt; 24 typ; 0 def)
% Number of atoms : 130 ( 51 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 83 ( 34 ~; 23 |; 26 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 170 (; 146 !; 24 ?; 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
tff(f_63,axiom,
? [Y24] :
! [X19] :
( ( ~ r1(X19)
& ( X19 != Y24 ) )
| ( r1(X19)
& ( X19 = Y24 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
tff(f_75,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( ~ r2(X11,X12)
& ( X12 != Y21 ) )
| ( r2(X11,X12)
& ( X12 = Y21 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
tff(f_199,negated_conjecture,
~ ? [Y1,Y2,Y3] :
( r3(Y1,Y2,Y3)
& ? [Y4] :
( ( Y3 = Y4 )
& ? [Y5] :
( r2(Y5,Y4)
& ? [Y6] :
( r2(Y6,Y5)
& ? [Y7] :
( r1(Y7)
& r2(Y7,Y6) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xplusyeqthree) ).
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_197,X14_198,X15_199] :
( ~ r3(X13_197,X14_198,X15_199)
| ( X15_199 = '#skF_3'(X13_197,X14_198) ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_514,plain,
! [X1_207,X8_208] : ( '#skF_3'(X1_207,X8_208) = '#skF_8'(X1_207,X8_208) ),
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_209] : ( '#skF_8'(X1_209,'#skF_1') = X1_209 ),
inference(superposition,[status(thm),theory(equality)],[c_514,c_488]) ).
tff(c_324,plain,
! [X1_173,X8_174] : r2('#skF_8'(X1_173,X8_174),'#skF_5'(X1_173,X8_174)),
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_173,X8_174] : ( '#skF_2'('#skF_8'(X1_173,X8_174)) = '#skF_5'(X1_173,X8_174) ),
inference(resolution,[status(thm)],[c_324,c_14]) ).
tff(c_557,plain,
! [X1_210] : ( '#skF_2'(X1_210) = '#skF_5'(X1_210,'#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_530,c_333]) ).
tff(c_1423,plain,
! [X1_293,X8_294] : ( '#skF_5'('#skF_8'(X1_293,X8_294),'#skF_1') = '#skF_5'(X1_293,X8_294) ),
inference(superposition,[status(thm),theory(equality)],[c_557,c_333]) ).
tff(c_536,plain,
! [X1_209] : ( '#skF_2'(X1_209) = '#skF_5'(X1_209,'#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_156,X12_157] :
( ~ r2(X11_156,X12_157)
| ( X12_157 = '#skF_2'(X11_156) ) ),
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_159,X8_160] : ( '#skF_7'(X1_159,X8_160) = '#skF_2'(X8_160) ),
inference(resolution,[status(thm)],[c_46,c_219]) ).
tff(c_259,plain,
! [X1_23,X8_24,X1_159] : ( '#skF_7'(X1_23,X8_24) = '#skF_7'(X1_159,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_211,X8_212] : r3(X1_211,'#skF_7'(X1_211,X8_212),'#skF_5'(X1_211,X8_212)),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_44]) ).
tff(c_575,plain,
! [X1_159,X1_23,X8_24] : r3(X1_159,'#skF_7'(X1_23,X8_24),'#skF_5'(X1_159,X8_24)),
inference(superposition,[status(thm),theory(equality)],[c_259,c_572]) ).
tff(c_1259,plain,
! [X1_159,X8_24] : r3(X1_159,'#skF_5'(X8_24,'#skF_1'),'#skF_5'(X1_159,X8_24)),
inference(demodulation,[status(thm),theory(equality)],[c_552,c_575]) ).
tff(c_1435,plain,
! [X1_293,X8_294] : r3('#skF_8'(X1_293,X8_294),'#skF_5'('#skF_1','#skF_1'),'#skF_5'(X1_293,X8_294)),
inference(superposition,[status(thm),theory(equality)],[c_1423,c_1259]) ).
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_230,X17_231,X18_232] :
( ~ r4(X16_230,X17_231,X18_232)
| ( X18_232 = '#skF_4'(X16_230,X17_231) ) ),
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_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_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_252,X9_253] : ( '#skF_8'('#skF_4'(X2_252,X9_253),X2_252) = '#skF_9'(X2_252,X9_253) ),
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_1260,plain,
! [X1_284,X8_285] : r3(X1_284,'#skF_5'(X8_285,'#skF_1'),'#skF_5'(X1_284,X8_285)),
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_1377,plain,
! [X1_291,X8_292] : ( '#skF_8'(X1_291,'#skF_5'(X8_292,'#skF_1')) = '#skF_5'(X1_291,X8_292) ),
inference(resolution,[status(thm)],[c_1260,c_511]) ).
tff(c_1410,plain,
! [X8_292] : ( '#skF_9'('#skF_5'(X8_292,'#skF_1'),'#skF_1') = '#skF_5'('#skF_1',X8_292) ),
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_186,X8_187] : ( '#skF_2'('#skF_8'(X1_186,X8_187)) = '#skF_5'(X1_186,X8_187) ),
inference(resolution,[status(thm)],[c_324,c_14]) ).
tff(c_1012,plain,
! [X1_264,X1_265,X8_266] : ( '#skF_7'(X1_264,'#skF_8'(X1_265,X8_266)) = '#skF_5'(X1_265,X8_266) ),
inference(superposition,[status(thm),theory(equality)],[c_229,c_401]) ).
tff(c_1272,plain,
! [X1_286,X5_287] : ( '#skF_7'(X1_286,'#skF_9'(X5_287,'#skF_1')) = '#skF_5'('#skF_1',X5_287) ),
inference(superposition,[status(thm),theory(equality)],[c_859,c_1012]) ).
tff(c_1278,plain,
! [X5_287] : ( '#skF_5'('#skF_9'(X5_287,'#skF_1'),'#skF_1') = '#skF_5'('#skF_1',X5_287) ),
inference(superposition,[status(thm),theory(equality)],[c_1272,c_552]) ).
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_2157,plain,
! [X1_326,X8_327] : r2('#skF_5'(X1_326,X8_327),'#skF_5'(X1_326,'#skF_5'(X8_327,'#skF_1'))),
inference(superposition,[status(thm),theory(equality)],[c_1377,c_40]) ).
tff(c_11374,plain,
! [X5_566] : r2('#skF_5'('#skF_1',X5_566),'#skF_5'('#skF_9'(X5_566,'#skF_1'),'#skF_5'('#skF_1','#skF_1'))),
inference(superposition,[status(thm),theory(equality)],[c_1278,c_2157]) ).
tff(c_1270,plain,
! [X1_284,X8_285] : ( '#skF_8'(X1_284,'#skF_5'(X8_285,'#skF_1')) = '#skF_5'(X1_284,X8_285) ),
inference(resolution,[status(thm)],[c_1260,c_511]) ).
tff(c_1467,plain,
! [X1_284,X8_285] : ( '#skF_5'('#skF_5'(X1_284,X8_285),'#skF_1') = '#skF_5'(X1_284,'#skF_5'(X8_285,'#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_1270,c_1423]) ).
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_579,plain,
! [X11_213] : r2(X11_213,'#skF_5'(X11_213,'#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_536,c_16]) ).
tff(c_84,plain,
! [Y4_102,Y7_116,Y2_85,Y6_114,Y5_110,Y1_84] :
( ~ r2(Y7_116,Y6_114)
| ~ r1(Y7_116)
| ~ r2(Y6_114,Y5_110)
| ~ r2(Y5_110,Y4_102)
| ~ r3(Y1_84,Y2_85,Y4_102) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_611,plain,
! [Y2_220,Y1_218,Y4_217,X11_216,Y5_219] :
( ~ r1(X11_216)
| ~ r2('#skF_5'(X11_216,'#skF_1'),Y5_219)
| ~ r2(Y5_219,Y4_217)
| ~ r3(Y1_218,Y2_220,Y4_217) ),
inference(resolution,[status(thm)],[c_579,c_84]) ).
tff(c_615,plain,
! [X11_216,Y4_217,Y1_218,Y2_220] :
( ~ r1(X11_216)
| ~ r2('#skF_5'('#skF_5'(X11_216,'#skF_1'),'#skF_1'),Y4_217)
| ~ r3(Y1_218,Y2_220,Y4_217) ),
inference(resolution,[status(thm)],[c_556,c_611]) ).
tff(c_3734,plain,
! [X11_216,Y4_217,Y1_218,Y2_220] :
( ~ r1(X11_216)
| ~ r2('#skF_5'(X11_216,'#skF_5'('#skF_1','#skF_1')),Y4_217)
| ~ r3(Y1_218,Y2_220,Y4_217) ),
inference(demodulation,[status(thm),theory(equality)],[c_1467,c_615]) ).
tff(c_11401,plain,
! [Y1_218,Y2_220] :
( ~ r1('#skF_1')
| ~ r3(Y1_218,Y2_220,'#skF_5'('#skF_9'('#skF_5'('#skF_1','#skF_1'),'#skF_1'),'#skF_5'('#skF_1','#skF_1'))) ),
inference(resolution,[status(thm)],[c_11374,c_3734]) ).
tff(c_11477,plain,
! [Y1_567,Y2_568] : ~ r3(Y1_567,Y2_568,'#skF_5'('#skF_5'('#skF_1','#skF_1'),'#skF_5'('#skF_1','#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_1410,c_7,c_11401]) ).
tff(c_11488,plain,
$false,
inference(resolution,[status(thm)],[c_1435,c_11477]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN081+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.17/0.35 % Computer : n026.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 18:57:02 EDT 2023
% 0.17/0.35 % CPUTime :
% 10.05/3.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.05/3.59
% 10.05/3.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.05/3.64
% 10.05/3.64 Inference rules
% 10.05/3.64 ----------------------
% 10.05/3.64 #Ref : 0
% 10.05/3.64 #Sup : 3114
% 10.05/3.64 #Fact : 0
% 10.05/3.64 #Define : 0
% 10.05/3.64 #Split : 0
% 10.05/3.64 #Chain : 0
% 10.05/3.64 #Close : 0
% 10.05/3.64
% 10.05/3.64 Ordering : KBO
% 10.05/3.64
% 10.05/3.64 Simplification rules
% 10.05/3.64 ----------------------
% 10.05/3.64 #Subsume : 574
% 10.05/3.64 #Demod : 2051
% 10.05/3.64 #Tautology : 903
% 10.05/3.64 #SimpNegUnit : 13
% 10.05/3.64 #BackRed : 27
% 10.05/3.64
% 10.05/3.64 #Partial instantiations: 0
% 10.05/3.64 #Strategies tried : 1
% 10.05/3.64
% 10.05/3.64 Timing (in seconds)
% 10.05/3.64 ----------------------
% 10.05/3.64 Preprocessing : 0.55
% 10.05/3.64 Parsing : 0.27
% 10.05/3.64 CNF conversion : 0.05
% 10.05/3.64 Main loop : 1.99
% 10.05/3.64 Inferencing : 0.55
% 10.05/3.64 Reduction : 0.82
% 10.05/3.64 Demodulation : 0.67
% 10.05/3.64 BG Simplification : 0.07
% 10.05/3.64 Subsumption : 0.43
% 10.05/3.64 Abstraction : 0.08
% 10.05/3.64 MUC search : 0.00
% 10.05/3.64 Cooper : 0.00
% 10.05/3.64 Total : 2.61
% 10.05/3.64 Index Insertion : 0.00
% 10.05/3.64 Index Deletion : 0.00
% 10.05/3.64 Index Matching : 0.00
% 10.05/3.64 BG Taut test : 0.00
%------------------------------------------------------------------------------