TSTP Solution File: SWV403+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV403+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n029.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 11:04:01 EDT 2023
% Result : Theorem 6.94s 2.63s
% Output : CNFRefutation 7.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of formulae : 72 ( 27 unt; 18 typ; 0 def)
% Number of atoms : 95 ( 13 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 79 ( 38 ~; 30 |; 4 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 10 >; 10 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 71 (; 71 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ pair_in_list > strictly_less_than > less_than > contains_slb > isnonempty_slb > update_slb > remove_slb > pair > lookup_slb > insert_slb > #nlpp > create_slb > bottom > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(contains_slb,type,
contains_slb: ( $i * $i ) > $o ).
tff(lookup_slb,type,
lookup_slb: ( $i * $i ) > $i ).
tff(pair_in_list,type,
pair_in_list: ( $i * $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(less_than,type,
less_than: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(strictly_less_than,type,
strictly_less_than: ( $i * $i ) > $o ).
tff(pair,type,
pair: ( $i * $i ) > $i ).
tff(bottom,type,
bottom: $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(isnonempty_slb,type,
isnonempty_slb: $i > $o ).
tff(remove_slb,type,
remove_slb: ( $i * $i ) > $i ).
tff(create_slb,type,
create_slb: $i ).
tff(insert_slb,type,
insert_slb: ( $i * $i ) > $i ).
tff(update_slb,type,
update_slb: ( $i * $i ) > $i ).
tff(f_169,negated_conjecture,
~ ! [U] :
( ! [V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) )
=> ! [Y,Z,X1,X2,X3] :
( ( pair_in_list(insert_slb(U,pair(X2,X3)),Y,Z)
& strictly_less_than(Z,X1) )
=> pair_in_list(update_slb(insert_slb(U,pair(X2,X3)),X1),Y,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l39_co) ).
tff(f_121,axiom,
! [U,V,W,X,Y] :
( pair_in_list(insert_slb(U,pair(V,X)),W,Y)
<=> ( pair_in_list(U,W,Y)
| ( ( V = W )
& ( X = Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax23) ).
tff(f_145,axiom,
! [U,V,W,X] :
( strictly_less_than(X,W)
=> ( update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,W)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax29) ).
tff(f_69,axiom,
! [U,V] :
( strictly_less_than(U,V)
<=> ( less_than(U,V)
& ~ less_than(V,U) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
tff(f_149,axiom,
! [U,V,W,X] :
( less_than(W,X)
=> ( update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,X)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax30) ).
tff(f_60,axiom,
! [U,V] :
( less_than(U,V)
| less_than(V,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',totality) ).
tff(c_54,plain,
strictly_less_than('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_34,plain,
! [U_20,W_22,Y_24] : pair_in_list(insert_slb(U_20,pair(W_22,Y_24)),W_22,Y_24),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_4346,plain,
! [U_243,V_244,X_245,W_246] :
( ( update_slb(insert_slb(U_243,pair(V_244,X_245)),W_246) = insert_slb(update_slb(U_243,W_246),pair(V_244,W_246)) )
| ~ strictly_less_than(X_245,W_246) ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_93,plain,
! [V_72,U_73] :
( ~ less_than(V_72,U_73)
| ~ strictly_less_than(U_73,V_72) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_97,plain,
~ less_than('#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_54,c_93]) ).
tff(c_87,plain,
! [U_67,V_68] :
( less_than(U_67,V_68)
| ~ strictly_less_than(U_67,V_68) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_91,plain,
less_than('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_54,c_87]) ).
tff(c_56,plain,
pair_in_list(insert_slb('#skF_1',pair('#skF_5','#skF_6')),'#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_752,plain,
! [W_136,V_133,Y_134,X_135,U_132] :
( ( Y_134 = X_135 )
| pair_in_list(U_132,W_136,Y_134)
| ~ pair_in_list(insert_slb(U_132,pair(V_133,X_135)),W_136,Y_134) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_765,plain,
( ( '#skF_6' = '#skF_3' )
| pair_in_list('#skF_1','#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_56,c_752]) ).
tff(c_766,plain,
pair_in_list('#skF_1','#skF_2','#skF_3'),
inference(splitLeft,[status(thm)],[c_765]) ).
tff(c_8,plain,
! [U_7,V_8] :
( strictly_less_than(U_7,V_8)
| less_than(V_8,U_7)
| ~ less_than(U_7,V_8) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_327,plain,
! [X_105,V_106,W_107] :
( pair_in_list(update_slb('#skF_1',X_105),V_106,X_105)
| ~ strictly_less_than(W_107,X_105)
| ~ pair_in_list('#skF_1',V_106,W_107) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_767,plain,
! [V_137,V_138,U_139] :
( pair_in_list(update_slb('#skF_1',V_137),V_138,V_137)
| ~ pair_in_list('#skF_1',V_138,U_139)
| less_than(V_137,U_139)
| ~ less_than(U_139,V_137) ),
inference(resolution,[status(thm)],[c_8,c_327]) ).
tff(c_770,plain,
! [V_137] :
( pair_in_list(update_slb('#skF_1',V_137),'#skF_2',V_137)
| less_than(V_137,'#skF_3')
| ~ less_than('#skF_3',V_137) ),
inference(resolution,[status(thm)],[c_766,c_767]) ).
tff(c_36,plain,
! [V_21,U_20,Y_24,X_23,W_22] :
( ~ pair_in_list(U_20,W_22,Y_24)
| pair_in_list(insert_slb(U_20,pair(V_21,X_23)),W_22,Y_24) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_2137,plain,
! [U_175,V_176,X_177,W_178] :
( ( update_slb(insert_slb(U_175,pair(V_176,X_177)),W_178) = insert_slb(update_slb(U_175,W_178),pair(V_176,X_177)) )
| ~ less_than(W_178,X_177) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_52,plain,
~ pair_in_list(update_slb(insert_slb('#skF_1',pair('#skF_5','#skF_6')),'#skF_4'),'#skF_2','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_2143,plain,
( ~ pair_in_list(insert_slb(update_slb('#skF_1','#skF_4'),pair('#skF_5','#skF_6')),'#skF_2','#skF_4')
| ~ less_than('#skF_4','#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_2137,c_52]) ).
tff(c_2149,plain,
~ less_than('#skF_4','#skF_6'),
inference(splitLeft,[status(thm)],[c_2143]) ).
tff(c_4,plain,
! [V_5,U_4] :
( less_than(V_5,U_4)
| less_than(U_4,V_5) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_2931,plain,
! [U_192,V_193,X_194,W_195] :
( ( update_slb(insert_slb(U_192,pair(V_193,X_194)),W_195) = insert_slb(update_slb(U_192,W_195),pair(V_193,W_195)) )
| ~ strictly_less_than(X_194,W_195) ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_2970,plain,
( ~ pair_in_list(insert_slb(update_slb('#skF_1','#skF_4'),pair('#skF_5','#skF_4')),'#skF_2','#skF_4')
| ~ strictly_less_than('#skF_6','#skF_4') ),
inference(superposition,[status(thm),theory(equality)],[c_2931,c_52]) ).
tff(c_3032,plain,
~ strictly_less_than('#skF_6','#skF_4'),
inference(splitLeft,[status(thm)],[c_2970]) ).
tff(c_3035,plain,
( less_than('#skF_4','#skF_6')
| ~ less_than('#skF_6','#skF_4') ),
inference(resolution,[status(thm)],[c_8,c_3032]) ).
tff(c_3038,plain,
~ less_than('#skF_6','#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_2149,c_3035]) ).
tff(c_3107,plain,
less_than('#skF_4','#skF_6'),
inference(resolution,[status(thm)],[c_4,c_3038]) ).
tff(c_3139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2149,c_3107]) ).
tff(c_3140,plain,
~ pair_in_list(insert_slb(update_slb('#skF_1','#skF_4'),pair('#skF_5','#skF_4')),'#skF_2','#skF_4'),
inference(splitRight,[status(thm)],[c_2970]) ).
tff(c_3788,plain,
~ pair_in_list(update_slb('#skF_1','#skF_4'),'#skF_2','#skF_4'),
inference(resolution,[status(thm)],[c_36,c_3140]) ).
tff(c_3794,plain,
( less_than('#skF_4','#skF_3')
| ~ less_than('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_770,c_3788]) ).
tff(c_3801,plain,
less_than('#skF_4','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_91,c_3794]) ).
tff(c_3803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97,c_3801]) ).
tff(c_3804,plain,
~ pair_in_list(insert_slb(update_slb('#skF_1','#skF_4'),pair('#skF_5','#skF_6')),'#skF_2','#skF_4'),
inference(splitRight,[status(thm)],[c_2143]) ).
tff(c_3874,plain,
~ pair_in_list(update_slb('#skF_1','#skF_4'),'#skF_2','#skF_4'),
inference(resolution,[status(thm)],[c_36,c_3804]) ).
tff(c_3896,plain,
( less_than('#skF_4','#skF_3')
| ~ less_than('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_770,c_3874]) ).
tff(c_3902,plain,
less_than('#skF_4','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_91,c_3896]) ).
tff(c_3904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97,c_3902]) ).
tff(c_3906,plain,
~ pair_in_list('#skF_1','#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_765]) ).
tff(c_3905,plain,
'#skF_6' = '#skF_3',
inference(splitRight,[status(thm)],[c_765]) ).
tff(c_3908,plain,
pair_in_list(insert_slb('#skF_1',pair('#skF_5','#skF_3')),'#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_3905,c_56]) ).
tff(c_3920,plain,
! [X_222,V_220,U_219,Y_221,W_223] :
( ( W_223 = V_220 )
| pair_in_list(U_219,W_223,Y_221)
| ~ pair_in_list(insert_slb(U_219,pair(V_220,X_222)),W_223,Y_221) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_3923,plain,
( ( '#skF_5' = '#skF_2' )
| pair_in_list('#skF_1','#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_3908,c_3920]) ).
tff(c_3932,plain,
'#skF_5' = '#skF_2',
inference(negUnitSimplification,[status(thm)],[c_3906,c_3923]) ).
tff(c_3907,plain,
~ pair_in_list(update_slb(insert_slb('#skF_1',pair('#skF_5','#skF_3')),'#skF_4'),'#skF_2','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_3905,c_52]) ).
tff(c_3942,plain,
~ pair_in_list(update_slb(insert_slb('#skF_1',pair('#skF_2','#skF_3')),'#skF_4'),'#skF_2','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_3932,c_3907]) ).
tff(c_4364,plain,
( ~ pair_in_list(insert_slb(update_slb('#skF_1','#skF_4'),pair('#skF_2','#skF_4')),'#skF_2','#skF_4')
| ~ strictly_less_than('#skF_3','#skF_4') ),
inference(superposition,[status(thm),theory(equality)],[c_4346,c_3942]) ).
tff(c_4412,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_34,c_4364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV403+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % 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 : n029.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 22:50:38 EDT 2023
% 0.17/0.35 % CPUTime :
% 6.94/2.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.94/2.63
% 6.94/2.63 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.03/2.67
% 7.03/2.67 Inference rules
% 7.03/2.67 ----------------------
% 7.03/2.67 #Ref : 0
% 7.03/2.67 #Sup : 845
% 7.03/2.67 #Fact : 140
% 7.03/2.67 #Define : 0
% 7.03/2.67 #Split : 3
% 7.03/2.67 #Chain : 0
% 7.03/2.67 #Close : 0
% 7.03/2.67
% 7.03/2.67 Ordering : KBO
% 7.03/2.67
% 7.03/2.67 Simplification rules
% 7.03/2.67 ----------------------
% 7.03/2.67 #Subsume : 436
% 7.03/2.67 #Demod : 274
% 7.03/2.67 #Tautology : 170
% 7.03/2.67 #SimpNegUnit : 10
% 7.03/2.67 #BackRed : 3
% 7.03/2.67
% 7.03/2.67 #Partial instantiations: 0
% 7.03/2.67 #Strategies tried : 1
% 7.03/2.67
% 7.03/2.67 Timing (in seconds)
% 7.03/2.67 ----------------------
% 7.03/2.67 Preprocessing : 0.56
% 7.03/2.67 Parsing : 0.28
% 7.03/2.67 CNF conversion : 0.04
% 7.03/2.67 Main loop : 1.04
% 7.03/2.67 Inferencing : 0.30
% 7.03/2.67 Reduction : 0.25
% 7.03/2.67 Demodulation : 0.19
% 7.03/2.67 BG Simplification : 0.03
% 7.03/2.67 Subsumption : 0.38
% 7.03/2.67 Abstraction : 0.04
% 7.03/2.67 MUC search : 0.00
% 7.03/2.67 Cooper : 0.00
% 7.03/2.67 Total : 1.65
% 7.03/2.67 Index Insertion : 0.00
% 7.03/2.67 Index Deletion : 0.00
% 7.03/2.67 Index Matching : 0.00
% 7.03/2.67 BG Taut test : 0.00
%------------------------------------------------------------------------------