TSTP Solution File: SYN648-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN648-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n022.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 11:11:31 EDT 2023
% Result : Unsatisfiable 4.65s 2.17s
% Output : CNFRefutation 4.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 40
% Syntax : Number of formulae : 55 ( 10 unt; 33 typ; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 81 ( 40 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 50 ( 25 >; 25 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 37 (; 37 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p8 > p7 > p5 > p3 > p26 > p25 > p24 > p22 > p20 > p2 > p18 > p16 > p14 > p12 > p10 > f9 > f6 > f4 > f23 > f21 > f19 > f17 > f15 > f13 > f11 > #nlpp > c34 > c33 > c32 > c31 > c30 > c29 > c28 > c27
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(f19,type,
f19: ( $i * $i ) > $i ).
tff(p22,type,
p22: ( $i * $i ) > $o ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(f9,type,
f9: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c34,type,
c34: $i ).
tff(p20,type,
p20: ( $i * $i ) > $o ).
tff(f17,type,
f17: ( $i * $i ) > $i ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(c27,type,
c27: $i ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(p25,type,
p25: ( $i * $i ) > $o ).
tff(c29,type,
c29: $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(p24,type,
p24: ( $i * $i ) > $o ).
tff(f4,type,
f4: ( $i * $i ) > $i ).
tff(f23,type,
f23: ( $i * $i ) > $i ).
tff(c30,type,
c30: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(c31,type,
c31: $i ).
tff(c28,type,
c28: $i ).
tff(p26,type,
p26: ( $i * $i ) > $o ).
tff(f21,type,
f21: ( $i * $i ) > $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(f_48,axiom,
p2(c27,c30),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X65] : p3(X65,X65),
file(unknown,unknown) ).
tff(f_49,axiom,
p26(c31,c30),
file(unknown,unknown) ).
tff(f_295,axiom,
! [X52,X53,X54,X55] :
( p24(X52,c29)
| p24(f4(f6(c32,X53),f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53))
| ~ p3(X52,X54)
| ~ p2(X55,X53)
| ~ p26(c31,X53)
| ~ p3(X54,f4(X55,c28)) ),
file(unknown,unknown) ).
tff(f_160,axiom,
! [X56,X57] :
( p24(f4(c30,X56),X57)
| ~ p24(f4(f6(c32,c30),X56),X57) ),
file(unknown,unknown) ).
tff(f_279,axiom,
! [X52,X54,X55,X53] :
( p24(X52,c29)
| ~ p3(X52,X54)
| ~ p2(X55,X53)
| ~ p26(c31,X53)
| ~ p3(X54,f4(X55,c28))
| ~ p24(f4(X53,f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53)) ),
file(unknown,unknown) ).
tff(f_51,axiom,
~ p24(f4(c27,c28),c29),
file(unknown,unknown) ).
tff(c_28,plain,
p2(c27,c30),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_10,plain,
! [X65_5] : p3(X65_5,X65_5),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_30,plain,
p26(c31,c30),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_421,plain,
! [X54_286,X55_287,X53_288,X52_289] :
( ~ p3(X54_286,f4(X55_287,c28))
| ~ p26(c31,X53_288)
| ~ p2(X55_287,X53_288)
| ~ p3(X52_289,X54_286)
| p24(f4(f6(c32,X53_288),f17(f19(f21(f23(c33,X52_289),X54_286),X55_287),X53_288)),f9(f11(f13(f15(c34,X52_289),X54_286),X55_287),X53_288))
| p24(X52_289,c29) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_60,plain,
! [X56_53,X57_54] :
( ~ p24(f4(f6(c32,c30),X56_53),X57_54)
| p24(f4(c30,X56_53),X57_54) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_427,plain,
! [X52_289,X54_286,X55_287] :
( p24(f4(c30,f17(f19(f21(f23(c33,X52_289),X54_286),X55_287),c30)),f9(f11(f13(f15(c34,X52_289),X54_286),X55_287),c30))
| ~ p3(X54_286,f4(X55_287,c28))
| ~ p26(c31,c30)
| ~ p2(X55_287,c30)
| ~ p3(X52_289,X54_286)
| p24(X52_289,c29) ),
inference(resolution,[status(thm)],[c_421,c_60]) ).
tff(c_739,plain,
! [X52_432,X54_433,X55_434] :
( p24(f4(c30,f17(f19(f21(f23(c33,X52_432),X54_433),X55_434),c30)),f9(f11(f13(f15(c34,X52_432),X54_433),X55_434),c30))
| ~ p3(X54_433,f4(X55_434,c28))
| ~ p2(X55_434,c30)
| ~ p3(X52_432,X54_433)
| p24(X52_432,c29) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_427]) ).
tff(c_86,plain,
! [X53_106,X52_103,X54_104,X55_105] :
( ~ p24(f4(X53_106,f17(f19(f21(f23(c33,X52_103),X54_104),X55_105),X53_106)),f9(f11(f13(f15(c34,X52_103),X54_104),X55_105),X53_106))
| ~ p3(X54_104,f4(X55_105,c28))
| ~ p26(c31,X53_106)
| ~ p2(X55_105,X53_106)
| ~ p3(X52_103,X54_104)
| p24(X52_103,c29) ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_742,plain,
! [X54_433,X55_434,X52_432] :
( ~ p26(c31,c30)
| ~ p3(X54_433,f4(X55_434,c28))
| ~ p2(X55_434,c30)
| ~ p3(X52_432,X54_433)
| p24(X52_432,c29) ),
inference(resolution,[status(thm)],[c_739,c_86]) ).
tff(c_762,plain,
! [X54_438,X55_439,X52_440] :
( ~ p3(X54_438,f4(X55_439,c28))
| ~ p2(X55_439,c30)
| ~ p3(X52_440,X54_438)
| p24(X52_440,c29) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_742]) ).
tff(c_775,plain,
! [X55_441,X52_442] :
( ~ p2(X55_441,c30)
| ~ p3(X52_442,f4(X55_441,c28))
| p24(X52_442,c29) ),
inference(resolution,[status(thm)],[c_10,c_762]) ).
tff(c_791,plain,
! [X55_443] :
( ~ p2(X55_443,c30)
| p24(f4(X55_443,c28),c29) ),
inference(resolution,[status(thm)],[c_10,c_775]) ).
tff(c_32,plain,
~ p24(f4(c27,c28),c29),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_800,plain,
~ p2(c27,c30),
inference(resolution,[status(thm)],[c_791,c_32]) ).
tff(c_806,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_800]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN648-1 : TPTP v8.1.2. Released v2.5.0.
% 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
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 17:29:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.65/2.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.65/2.17
% 4.65/2.17 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.65/2.20
% 4.65/2.20 Inference rules
% 4.65/2.20 ----------------------
% 4.65/2.20 #Ref : 0
% 4.65/2.20 #Sup : 184
% 4.65/2.20 #Fact : 0
% 4.65/2.20 #Define : 0
% 4.65/2.20 #Split : 0
% 4.65/2.20 #Chain : 0
% 4.65/2.20 #Close : 0
% 4.65/2.20
% 4.65/2.20 Ordering : KBO
% 4.65/2.20
% 4.65/2.20 Simplification rules
% 4.65/2.20 ----------------------
% 4.65/2.20 #Subsume : 37
% 4.65/2.20 #Demod : 21
% 4.65/2.20 #Tautology : 18
% 4.65/2.20 #SimpNegUnit : 0
% 4.65/2.20 #BackRed : 0
% 4.65/2.20
% 4.65/2.20 #Partial instantiations: 0
% 4.65/2.20 #Strategies tried : 1
% 4.65/2.20
% 4.65/2.20 Timing (in seconds)
% 4.65/2.20 ----------------------
% 4.65/2.21 Preprocessing : 0.55
% 4.65/2.21 Parsing : 0.31
% 4.65/2.21 CNF conversion : 0.04
% 4.65/2.21 Main loop : 0.59
% 4.65/2.21 Inferencing : 0.23
% 4.65/2.21 Reduction : 0.15
% 4.65/2.21 Demodulation : 0.10
% 4.65/2.21 BG Simplification : 0.03
% 4.65/2.21 Subsumption : 0.16
% 4.65/2.21 Abstraction : 0.02
% 4.65/2.21 MUC search : 0.00
% 4.65/2.21 Cooper : 0.00
% 4.65/2.21 Total : 1.20
% 4.65/2.21 Index Insertion : 0.00
% 4.65/2.21 Index Deletion : 0.00
% 4.65/2.21 Index Matching : 0.00
% 4.65/2.21 BG Taut test : 0.00
%------------------------------------------------------------------------------