TSTP Solution File: LCL686+1.005 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% 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 : n009.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 10:48:49 EDT 2023
% Result : Theorem 6.40s 2.61s
% Output : CNFRefutation 6.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 37
% Syntax : Number of formulae : 57 ( 9 unt; 35 typ; 0 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 140 ( 8 avg)
% Number of connectives : 302 ( 141 ~; 109 |; 52 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 56 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 31 >; 1 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-1 aty)
% Number of variables : 44 (; 43 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r1 > p9 > p8 > p7 > p6 > p5 > p4 > p3 > p2 > p15 > p14 > p13 > p12 > p11 > p10 > p1 > #nlpp > #skF_9 > #skF_7 > #skF_5 > #skF_16 > #skF_18 > #skF_19 > #skF_8 > #skF_15 > #skF_10 > #skF_2 > #skF_3 > #skF_1 > #skF_13 > #skF_4 > #skF_17 > #skF_11 > #skF_14 > #skF_12 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff(p12,type,
p12: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(p3,type,
p3: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(p15,type,
p15: $i > $o ).
tff(p11,type,
p11: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(p14,type,
p14: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(p8,type,
p8: $i > $o ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(p5,type,
p5: $i > $o ).
tff(p4,type,
p4: $i > $o ).
tff(p6,type,
p6: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(r1,type,
r1: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(p13,type,
p13: $i > $o ).
tff(p2,type,
p2: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(p7,type,
p7: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(p10,type,
p10: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(p9,type,
p9: $i > $o ).
tff(p1,type,
p1: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(f_28,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
tff(f_463,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ~ p15(Y)
| ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| $false )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p14(Y)
& ~ p13(Y) )
| ( ~ p14(Y)
& p13(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p13(X)
& ~ p12(X) )
| ( ~ p13(X)
& p12(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p12(Y)
& ~ p11(Y) )
| ( ~ p12(Y)
& p11(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p11(X)
& ~ p10(X) )
| ( ~ p11(X)
& p10(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p10(Y)
& ~ p9(Y) )
| ( ~ p10(Y)
& p9(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p9(X)
& ~ p8(X) )
| ( ~ p9(X)
& p8(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p8(Y)
& ~ p7(Y) )
| ( ~ p8(Y)
& p7(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p7(X)
& ~ p6(X) )
| ( ~ p7(X)
& p6(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p6(Y)
& ~ p5(Y) )
| ( ~ p6(Y)
& p5(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p5(X)
& ~ p4(X) )
| ( ~ p5(X)
& p4(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p4(Y)
& ~ p3(Y) )
| ( ~ p4(Y)
& p3(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p3(X)
& ~ p2(X) )
| ( ~ p3(X)
& p2(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p15(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p13(Y)
& ~ p14(Y) )
| ( p14(Y)
& p13(Y) )
| ( ~ p12(Y)
& ~ p13(Y) )
| ( p13(Y)
& p12(Y) )
| ( ~ p11(Y)
& ~ p12(Y) )
| ( p12(Y)
& p11(Y) )
| ( ~ p10(Y)
& ~ p11(Y) )
| ( p11(Y)
& p10(Y) )
| ( ~ p9(Y)
& ~ p10(Y) )
| ( p10(Y)
& p9(Y) )
| ( ~ p8(Y)
& ~ p9(Y) )
| ( p9(Y)
& p8(Y) )
| ( ~ p7(Y)
& ~ p8(Y) )
| ( p8(Y)
& p7(Y) )
| ( ~ p6(Y)
& ~ p7(Y) )
| ( p7(Y)
& p6(Y) )
| ( ~ p5(Y)
& ~ p6(Y) )
| ( p6(Y)
& p5(Y) )
| ( ~ p4(Y)
& ~ p5(Y) )
| ( p5(Y)
& p4(Y) )
| ( ~ p3(Y)
& ~ p4(Y) )
| ( p4(Y)
& p3(Y) )
| ( ~ p2(Y)
& ~ p3(Y) )
| ( p3(Y)
& p2(Y) )
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
tff(c_2,plain,
! [X_1] : r1(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_68,plain,
! [X_98317] :
( r1(X_98317,'#skF_19'(X_98317))
| ~ r1('#skF_4',X_98317) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_423,plain,
! [Y_131123,X_131124] :
( p1(Y_131123)
| ~ p2(Y_131123)
| ~ r1(X_131124,Y_131123)
| ~ r1('#skF_4',X_131124) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_493,plain,
! [X_131125] :
( p1(X_131125)
| ~ p2(X_131125)
| ~ r1('#skF_4',X_131125) ),
inference(resolution,[status(thm)],[c_2,c_423]) ).
tff(c_513,plain,
( p1('#skF_19'('#skF_4'))
| ~ p2('#skF_19'('#skF_4'))
| ~ r1('#skF_4','#skF_4') ),
inference(resolution,[status(thm)],[c_68,c_493]) ).
tff(c_529,plain,
( p1('#skF_19'('#skF_4'))
| ~ p2('#skF_19'('#skF_4')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_513]) ).
tff(c_568,plain,
~ p2('#skF_19'('#skF_4')),
inference(splitLeft,[status(thm)],[c_529]) ).
tff(c_18,plain,
! [X_98317] :
( p2('#skF_19'(X_98317))
| p1('#skF_19'(X_98317))
| ~ r1('#skF_4',X_98317) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_571,plain,
( p1('#skF_19'('#skF_4'))
| ~ r1('#skF_4','#skF_4') ),
inference(resolution,[status(thm)],[c_18,c_568]) ).
tff(c_574,plain,
p1('#skF_19'('#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_571]) ).
tff(c_345,plain,
! [Y_131121,X_131122] :
( ~ p1(Y_131121)
| p2(Y_131121)
| ~ r1(X_131122,Y_131121)
| ~ r1('#skF_4',X_131122) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_611,plain,
! [X_131130] :
( ~ p1(X_131130)
| p2(X_131130)
| ~ r1('#skF_4',X_131130) ),
inference(resolution,[status(thm)],[c_2,c_345]) ).
tff(c_631,plain,
( ~ p1('#skF_19'('#skF_4'))
| p2('#skF_19'('#skF_4'))
| ~ r1('#skF_4','#skF_4') ),
inference(resolution,[status(thm)],[c_68,c_611]) ).
tff(c_650,plain,
p2('#skF_19'('#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_574,c_631]) ).
tff(c_652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_568,c_650]) ).
tff(c_653,plain,
p1('#skF_19'('#skF_4')),
inference(splitRight,[status(thm)],[c_529]) ).
tff(c_654,plain,
p2('#skF_19'('#skF_4')),
inference(splitRight,[status(thm)],[c_529]) ).
tff(c_16,plain,
! [X_98317] :
( ~ p1('#skF_19'(X_98317))
| ~ p2('#skF_19'(X_98317))
| ~ r1('#skF_4',X_98317) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_692,plain,
( ~ p1('#skF_19'('#skF_4'))
| ~ r1('#skF_4','#skF_4') ),
inference(resolution,[status(thm)],[c_654,c_16]) ).
tff(c_696,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_653,c_692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.18/0.35 % Computer : n009.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 3 14:04:38 EDT 2023
% 0.18/0.35 % CPUTime :
% 6.40/2.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.40/2.62
% 6.40/2.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.75/2.65
% 6.75/2.65 Inference rules
% 6.75/2.65 ----------------------
% 6.75/2.65 #Ref : 0
% 6.75/2.65 #Sup : 121
% 6.75/2.65 #Fact : 0
% 6.75/2.65 #Define : 0
% 6.75/2.65 #Split : 5
% 6.75/2.65 #Chain : 0
% 6.75/2.65 #Close : 0
% 6.75/2.65
% 6.75/2.65 Ordering : KBO
% 6.75/2.65
% 6.75/2.65 Simplification rules
% 6.75/2.65 ----------------------
% 6.75/2.65 #Subsume : 10
% 6.75/2.65 #Demod : 20
% 6.75/2.65 #Tautology : 17
% 6.75/2.65 #SimpNegUnit : 3
% 6.75/2.65 #BackRed : 0
% 6.75/2.65
% 6.75/2.65 #Partial instantiations: 0
% 6.75/2.65 #Strategies tried : 1
% 6.75/2.65
% 6.75/2.65 Timing (in seconds)
% 6.75/2.65 ----------------------
% 6.75/2.65 Preprocessing : 1.13
% 6.75/2.65 Parsing : 0.30
% 6.75/2.65 CNF conversion : 0.63
% 6.75/2.65 Main loop : 0.48
% 6.75/2.65 Inferencing : 0.18
% 6.75/2.65 Reduction : 0.12
% 6.75/2.65 Demodulation : 0.08
% 6.75/2.65 BG Simplification : 0.04
% 6.75/2.65 Subsumption : 0.12
% 6.75/2.65 Abstraction : 0.02
% 6.75/2.65 MUC search : 0.00
% 6.75/2.66 Cooper : 0.00
% 6.75/2.66 Total : 1.66
% 6.75/2.66 Index Insertion : 0.00
% 6.75/2.66 Index Deletion : 0.00
% 6.75/2.66 Index Matching : 0.00
% 6.75/2.66 BG Taut test : 0.00
%------------------------------------------------------------------------------