TSTP Solution File: SYN703-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN703-1 : 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 : n006.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 11:11:40 EDT 2023
% Result : Unsatisfiable 30.09s 19.54s
% Output : CNFRefutation 30.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 71
% Syntax : Number of formulae : 98 ( 19 unt; 57 typ; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 73 ( 38 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 46 >; 46 *; 0 +; 0 <<)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 11 con; 0-2 aty)
% Number of variables : 89 (; 89 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p7 > p6 > p47 > p45 > p43 > p41 > p4 > p39 > p37 > p35 > p33 > p31 > p3 > p29 > p27 > p25 > p23 > p21 > p2 > p19 > p17 > p15 > p14 > p12 > p10 > f8 > f5 > f46 > f44 > f42 > f40 > f38 > f36 > f34 > f32 > f30 > f28 > f26 > f24 > f22 > f20 > f18 > f16 > f13 > f11 > #nlpp > c58 > c57 > c56 > c55 > c54 > c53 > c52 > c51 > c50 > c49 > c48
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p15,type,
p15: ( $i * $i ) > $o ).
tff(c57,type,
c57: $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(f32,type,
f32: ( $i * $i ) > $i ).
tff(p43,type,
p43: ( $i * $i ) > $o ).
tff(f26,type,
f26: ( $i * $i ) > $i ).
tff(f22,type,
f22: ( $i * $i ) > $i ).
tff(p23,type,
p23: ( $i * $i ) > $o ).
tff(c55,type,
c55: $i ).
tff(f36,type,
f36: ( $i * $i ) > $i ).
tff(c58,type,
c58: $i ).
tff(p47,type,
p47: ( $i * $i ) > $o ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c52,type,
c52: $i ).
tff(f24,type,
f24: ( $i * $i ) > $i ).
tff(f44,type,
f44: ( $i * $i ) > $i ).
tff(f38,type,
f38: ( $i * $i ) > $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(p29,type,
p29: ( $i * $i ) > $o ).
tff(c48,type,
c48: $i ).
tff(p31,type,
p31: ( $i * $i ) > $o ).
tff(p17,type,
p17: ( $i * $i ) > $o ).
tff(f30,type,
f30: ( $i * $i ) > $i ).
tff(p35,type,
p35: ( $i * $i ) > $o ).
tff(c53,type,
c53: $i ).
tff(p33,type,
p33: ( $i * $i ) > $o ).
tff(f18,type,
f18: ( $i * $i ) > $i ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(p45,type,
p45: ( $i * $i ) > $o ).
tff(f28,type,
f28: ( $i * $i ) > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c54,type,
c54: $i ).
tff(f46,type,
f46: ( $i * $i ) > $i ).
tff(f42,type,
f42: ( $i * $i ) > $i ).
tff(p37,type,
p37: ( $i * $i ) > $o ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(p39,type,
p39: ( $i * $i ) > $o ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(p25,type,
p25: ( $i * $i ) > $o ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(c50,type,
c50: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(p41,type,
p41: ( $i * $i ) > $o ).
tff(f40,type,
f40: ( $i * $i ) > $i ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(c51,type,
c51: $i ).
tff(c56,type,
c56: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(c49,type,
c49: $i ).
tff(f34,type,
f34: ( $i * $i ) > $i ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(f20,type,
f20: ( $i * $i ) > $i ).
tff(f_462,axiom,
! [X139,X141,X142,X140] :
( p47(f5(c48,f8(f11(f13(c49,X139),X141),X142)),X140)
| ~ p47(X139,X140) ),
file(unknown,unknown) ).
tff(f_273,axiom,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
file(unknown,unknown) ).
tff(f_37,axiom,
! [X30] : p2(X30,X30),
file(unknown,unknown) ).
tff(f_475,axiom,
! [X57,X58,X59,X60] : p3(f16(f18(c54,f8(f11(f13(c49,X57),X58),X59)),X60),f8(f11(f13(c49,f20(f22(f24(f26(c56,X57),X58),X59),X60)),f30(f32(f34(f36(c57,X57),X58),X59),X60)),f40(f42(f44(f46(c58,X57),X58),X59),X60))),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X69] : p3(X69,X69),
file(unknown,unknown) ).
tff(f_183,axiom,
! [X70,X71,X69] :
( p3(X70,X71)
| ~ p3(X69,X70)
| ~ p3(X69,X71) ),
file(unknown,unknown) ).
tff(f_343,axiom,
! [X118,X119,X120,X121] :
( p4(f5(X118,X119),f5(X120,X121))
| ~ p2(X118,X120)
| ~ p3(X119,X121) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X111] : p4(X111,X111),
file(unknown,unknown) ).
tff(f_135,axiom,
! [X112,X113,X111] :
( p4(X112,X113)
| ~ p4(X111,X112)
| ~ p4(X111,X113) ),
file(unknown,unknown) ).
tff(f_463,axiom,
p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X17] : p15(X17,X17),
file(unknown,unknown) ).
tff(f_287,axiom,
! [X143,X144,X146,X145] :
( p47(X143,X144)
| ~ p4(X146,X143)
| ~ p47(X146,X145)
| ~ p15(X145,X144) ),
file(unknown,unknown) ).
tff(f_452,axiom,
! [X139,X140,X141,X142] :
( p47(X139,X140)
| ~ p47(f5(c48,f8(f11(f13(c49,X139),X141),X142)),X140) ),
file(unknown,unknown) ).
tff(f_457,axiom,
! [X60,X58,X59,X57,X61] :
( p47(X57,X61)
| ~ p47(f20(f22(f24(f26(c56,X57),X58),X59),X60),X61) ),
file(unknown,unknown) ).
tff(c_557,plain,
! [X139_457,X140_458,X141_459,X142_460] :
( ~ p47(X139_457,X140_458)
| p47(f5(c48,f8(f11(f13(c49,X139_457),X141_459),X142_460)),X140_458) ),
inference(cnfTransformation,[status(thm)],[f_462]) ).
tff(c_102,plain,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_564,plain,
~ p47(c50,c53),
inference(resolution,[status(thm)],[c_557,c_102]) ).
tff(c_16,plain,
! [X30_8] : p2(X30_8,X30_8),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_764,plain,
! [X57_575,X58_576,X59_577,X60_578] : p3(f16(f18(c54,f8(f11(f13(c49,X57_575),X58_576),X59_577)),X60_578),f8(f11(f13(c49,f20(f22(f24(f26(c56,X57_575),X58_576),X59_577),X60_578)),f30(f32(f34(f36(c57,X57_575),X58_576),X59_577),X60_578)),f40(f42(f44(f46(c58,X57_575),X58_576),X59_577),X60_578))),
inference(cnfTransformation,[status(thm)],[f_475]) ).
tff(c_28,plain,
! [X69_14] : p3(X69_14,X69_14),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_348,plain,
! [X69_331,X71_332,X70_333] :
( ~ p3(X69_331,X71_332)
| ~ p3(X69_331,X70_333)
| p3(X70_333,X71_332) ),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_351,plain,
! [X69_14,X70_333] :
( ~ p3(X69_14,X70_333)
| p3(X70_333,X69_14) ),
inference(resolution,[status(thm)],[c_28,c_348]) ).
tff(c_769,plain,
! [X57_575,X58_576,X59_577,X60_578] : p3(f8(f11(f13(c49,f20(f22(f24(f26(c56,X57_575),X58_576),X59_577),X60_578)),f30(f32(f34(f36(c57,X57_575),X58_576),X59_577),X60_578)),f40(f42(f44(f46(c58,X57_575),X58_576),X59_577),X60_578)),f16(f18(c54,f8(f11(f13(c49,X57_575),X58_576),X59_577)),X60_578)),
inference(resolution,[status(thm)],[c_764,c_351]) ).
tff(c_487,plain,
! [X119_417,X121_418,X118_419,X120_420] :
( ~ p3(X119_417,X121_418)
| ~ p2(X118_419,X120_420)
| p4(f5(X118_419,X119_417),f5(X120_420,X121_418)) ),
inference(cnfTransformation,[status(thm)],[f_343]) ).
tff(c_40,plain,
! [X111_20] : p4(X111_20,X111_20),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_402,plain,
! [X111_361,X113_362,X112_363] :
( ~ p4(X111_361,X113_362)
| ~ p4(X111_361,X112_363)
| p4(X112_363,X113_362) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_405,plain,
! [X111_20,X112_363] :
( ~ p4(X111_20,X112_363)
| p4(X112_363,X111_20) ),
inference(resolution,[status(thm)],[c_40,c_402]) ).
tff(c_492,plain,
! [X120_420,X121_418,X118_419,X119_417] :
( p4(f5(X120_420,X121_418),f5(X118_419,X119_417))
| ~ p3(X119_417,X121_418)
| ~ p2(X118_419,X120_420) ),
inference(resolution,[status(thm)],[c_487,c_405]) ).
tff(c_154,plain,
p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_10,plain,
! [X17_5] : p15(X17_5,X17_5),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_412,plain,
! [X145_370,X144_371,X146_372,X143_373] :
( ~ p15(X145_370,X144_371)
| ~ p47(X146_372,X145_370)
| ~ p4(X146_372,X143_373)
| p47(X143_373,X144_371) ),
inference(cnfTransformation,[status(thm)],[f_287]) ).
tff(c_415,plain,
! [X146_372,X17_5,X143_373] :
( ~ p47(X146_372,X17_5)
| ~ p4(X146_372,X143_373)
| p47(X143_373,X17_5) ),
inference(resolution,[status(thm)],[c_10,c_412]) ).
tff(c_1248,plain,
! [X143_781] :
( ~ p4(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),X143_781)
| p47(X143_781,c53) ),
inference(resolution,[status(thm)],[c_154,c_415]) ).
tff(c_3027,plain,
! [X118_1754,X119_1755] :
( p47(f5(X118_1754,X119_1755),c53)
| ~ p3(X119_1755,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55))
| ~ p2(X118_1754,c48) ),
inference(resolution,[status(thm)],[c_492,c_1248]) ).
tff(c_39081,plain,
! [X118_12010] :
( p47(f5(X118_12010,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),c53)
| ~ p2(X118_12010,c48) ),
inference(resolution,[status(thm)],[c_769,c_3027]) ).
tff(c_148,plain,
! [X139_189,X141_191,X142_192,X140_190] :
( ~ p47(f5(c48,f8(f11(f13(c49,X139_189),X141_191),X142_192)),X140_190)
| p47(X139_189,X140_190) ),
inference(cnfTransformation,[status(thm)],[f_452]) ).
tff(c_39097,plain,
( p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53)
| ~ p2(c48,c48) ),
inference(resolution,[status(thm)],[c_39081,c_148]) ).
tff(c_39108,plain,
p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_39097]) ).
tff(c_150,plain,
! [X59_195,X60_193,X58_194,X61_197,X57_196] :
( ~ p47(f20(f22(f24(f26(c56,X57_196),X58_194),X59_195),X60_193),X61_197)
| p47(X57_196,X61_197) ),
inference(cnfTransformation,[status(thm)],[f_457]) ).
tff(c_39140,plain,
p47(c50,c53),
inference(resolution,[status(thm)],[c_39108,c_150]) ).
tff(c_39160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_564,c_39140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN703-1 : 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 : n006.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 17:01:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 30.09/19.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.09/19.55
% 30.09/19.55 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 30.16/19.59
% 30.16/19.59 Inference rules
% 30.16/19.59 ----------------------
% 30.16/19.59 #Ref : 0
% 30.16/19.59 #Sup : 11901
% 30.16/19.59 #Fact : 0
% 30.16/19.59 #Define : 0
% 30.16/19.59 #Split : 0
% 30.16/19.59 #Chain : 0
% 30.16/19.59 #Close : 0
% 30.16/19.59
% 30.16/19.59 Ordering : KBO
% 30.16/19.59
% 30.16/19.59 Simplification rules
% 30.16/19.59 ----------------------
% 30.16/19.59 #Subsume : 1042
% 30.16/19.59 #Demod : 39
% 30.16/19.59 #Tautology : 36
% 30.16/19.59 #SimpNegUnit : 1
% 30.16/19.59 #BackRed : 0
% 30.16/19.59
% 30.16/19.59 #Partial instantiations: 0
% 30.16/19.59 #Strategies tried : 1
% 30.16/19.59
% 30.16/19.59 Timing (in seconds)
% 30.16/19.59 ----------------------
% 30.16/19.59 Preprocessing : 0.61
% 30.16/19.59 Parsing : 0.34
% 30.16/19.59 CNF conversion : 0.04
% 30.16/19.59 Main loop : 17.92
% 30.16/19.59 Inferencing : 3.20
% 30.16/19.59 Reduction : 5.45
% 30.16/19.59 Demodulation : 3.91
% 30.16/19.59 BG Simplification : 0.12
% 30.16/19.59 Subsumption : 8.19
% 30.16/19.59 Abstraction : 0.21
% 30.16/19.59 MUC search : 0.00
% 30.16/19.59 Cooper : 0.00
% 30.16/19.59 Total : 18.59
% 30.16/19.59 Index Insertion : 0.00
% 30.16/19.59 Index Deletion : 0.00
% 30.16/19.59 Index Matching : 0.00
% 30.16/19.59 BG Taut test : 0.00
%------------------------------------------------------------------------------