TSTP Solution File: SYN656-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN656-1 : 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 : n002.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 11:11:32 EDT 2023
% Result : Unsatisfiable 6.47s 2.58s
% Output : CNFRefutation 6.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 44
% Syntax : Number of formulae : 63 ( 13 unt; 35 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 25 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 24 >; 24 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-2 aty)
% Number of variables : 46 (; 46 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p8 > p6 > p4 > p3 > p25 > p24 > p22 > p20 > p2 > p18 > p16 > p14 > p12 > p11 > f7 > f5 > f23 > f21 > f19 > f17 > f15 > f13 > f10 > #nlpp > c36 > c35 > c34 > c33 > c32 > c31 > c30 > c29 > c28 > c27 > c26
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
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(p2,type,
p2: ( $i * $i ) > $o ).
tff(c26,type,
c26: $i ).
tff(c34,type,
c34: $i ).
tff(p20,type,
p20: ( $i * $i ) > $o ).
tff(f17,type,
f17: ( $i * $i ) > $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(c27,type,
c27: $i ).
tff(f7,type,
f7: ( $i * $i ) > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c36,type,
c36: $i ).
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(f23,type,
f23: ( $i * $i ) > $i ).
tff(c30,type,
c30: $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(c35,type,
c35: $i ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(c31,type,
c31: $i ).
tff(c28,type,
c28: $i ).
tff(f21,type,
f21: ( $i * $i ) > $i ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(f_31,axiom,
! [X75] : p4(X75,X75),
file(unknown,unknown) ).
tff(f_164,axiom,
! [X58] : p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58)),
file(unknown,unknown) ).
tff(f_196,axiom,
! [X51,X52,X54,X53] :
( p25(X51,X52)
| ~ p3(X54,X52)
| ~ p4(X53,X51)
| ~ p25(X53,X54) ),
file(unknown,unknown) ).
tff(f_174,axiom,
! [X59,X60,X61] :
( p25(f5(f7(c28,X59),X60),X61)
| ~ p25(f5(X59,X60),X61) ),
file(unknown,unknown) ).
tff(f_270,axiom,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
file(unknown,unknown) ).
tff(f_296,axiom,
! [X63] :
( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63)))
| p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63))),f13(c31,c34)) ),
file(unknown,unknown) ).
tff(f_278,axiom,
! [X55,X56,X57,X62] :
( p25(f5(f7(c28,X55),X56),X57)
| ~ p25(f5(X55,X56),X62)
| ~ p25(f5(f7(c28,X55),X62),X57) ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X64] : p3(X64,X64),
file(unknown,unknown) ).
tff(f_101,axiom,
! [X65,X66,X64] :
( p3(X65,X66)
| ~ p3(X64,X65)
| ~ p3(X64,X66) ),
file(unknown,unknown) ).
tff(c_10,plain,
! [X75_5] : p4(X75_5,X75_5),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_62,plain,
! [X58_57] : p25(f5(c29,f13(c31,f15(c32,X58_57))),f13(c31,X58_57)),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_238,plain,
! [X53_202,X54_203,X51_204,X52_205] :
( ~ p25(X53_202,X54_203)
| ~ p4(X53_202,X51_204)
| ~ p3(X54_203,X52_205)
| p25(X51_204,X52_205) ),
inference(cnfTransformation,[status(thm)],[f_196]) ).
tff(c_659,plain,
! [X58_393,X51_394,X52_395] :
( ~ p4(f5(c29,f13(c31,f15(c32,X58_393))),X51_394)
| ~ p3(f13(c31,X58_393),X52_395)
| p25(X51_394,X52_395) ),
inference(resolution,[status(thm)],[c_62,c_238]) ).
tff(c_672,plain,
! [X58_396,X52_397] :
( ~ p3(f13(c31,X58_396),X52_397)
| p25(f5(c29,f13(c31,f15(c32,X58_396))),X52_397) ),
inference(resolution,[status(thm)],[c_10,c_659]) ).
tff(c_66,plain,
! [X59_61,X60_62,X61_63] :
( ~ p25(f5(X59_61,X60_62),X61_63)
| p25(f5(f7(c28,X59_61),X60_62),X61_63) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_90,plain,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_337,plain,
~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(resolution,[status(thm)],[c_66,c_90]) ).
tff(c_688,plain,
~ p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(resolution,[status(thm)],[c_672,c_337]) ).
tff(c_486,plain,
! [X63_324] :
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63_324))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63_324))) ),
inference(cnfTransformation,[status(thm)],[f_296]) ).
tff(c_92,plain,
! [X55_108,X62_111,X57_110,X56_109] :
( ~ p25(f5(f7(c28,X55_108),X62_111),X57_110)
| ~ p25(f5(X55_108,X56_109),X62_111)
| p25(f5(f7(c28,X55_108),X56_109),X57_110) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_1173,plain,
! [X56_549,X63_550] :
( ~ p25(f5(c29,X56_549),f13(c31,f15(f17(c33,c34),X63_550)))
| p25(f5(f7(c28,c29),X56_549),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63_550))) ),
inference(resolution,[status(thm)],[c_486,c_92]) ).
tff(c_1904,plain,
! [X63_897] :
( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X63_897)))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63_897))) ),
inference(resolution,[status(thm)],[c_62,c_1173]) ).
tff(c_1925,plain,
p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
inference(resolution,[status(thm)],[c_1904,c_90]) ).
tff(c_12,plain,
! [X64_6] : p3(X64_6,X64_6),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_186,plain,
! [X64_174,X66_175,X65_176] :
( ~ p3(X64_174,X66_175)
| ~ p3(X64_174,X65_176)
| p3(X65_176,X66_175) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_189,plain,
! [X64_6,X65_176] :
( ~ p3(X64_6,X65_176)
| p3(X65_176,X64_6) ),
inference(resolution,[status(thm)],[c_12,c_186]) ).
tff(c_1965,plain,
p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(resolution,[status(thm)],[c_1925,c_189]) ).
tff(c_1990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_688,c_1965]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN656-1 : 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
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 17:25:01 EDT 2023
% 0.14/0.36 % CPUTime :
% 6.47/2.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.47/2.58
% 6.47/2.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.85/2.61
% 6.85/2.61 Inference rules
% 6.85/2.61 ----------------------
% 6.85/2.61 #Ref : 0
% 6.85/2.61 #Sup : 489
% 6.85/2.61 #Fact : 0
% 6.85/2.61 #Define : 0
% 6.85/2.61 #Split : 0
% 6.85/2.61 #Chain : 0
% 6.85/2.61 #Close : 0
% 6.85/2.61
% 6.85/2.61 Ordering : KBO
% 6.85/2.61
% 6.85/2.61 Simplification rules
% 6.85/2.61 ----------------------
% 6.85/2.61 #Subsume : 84
% 6.85/2.61 #Demod : 26
% 6.85/2.61 #Tautology : 19
% 6.85/2.61 #SimpNegUnit : 1
% 6.85/2.61 #BackRed : 0
% 6.85/2.61
% 6.85/2.61 #Partial instantiations: 0
% 6.85/2.61 #Strategies tried : 1
% 6.85/2.61
% 6.85/2.61 Timing (in seconds)
% 6.85/2.61 ----------------------
% 6.85/2.62 Preprocessing : 0.55
% 6.85/2.62 Parsing : 0.31
% 6.85/2.62 CNF conversion : 0.04
% 6.85/2.62 Main loop : 0.99
% 6.85/2.62 Inferencing : 0.35
% 6.85/2.62 Reduction : 0.26
% 6.85/2.62 Demodulation : 0.17
% 6.85/2.62 BG Simplification : 0.03
% 6.85/2.62 Subsumption : 0.28
% 6.85/2.62 Abstraction : 0.03
% 6.85/2.62 MUC search : 0.00
% 6.85/2.62 Cooper : 0.00
% 6.85/2.62 Total : 1.59
% 6.85/2.62 Index Insertion : 0.00
% 6.85/2.62 Index Deletion : 0.00
% 6.85/2.62 Index Matching : 0.00
% 6.85/2.62 BG Taut test : 0.00
%------------------------------------------------------------------------------