TSTP Solution File: SYN691-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN691-1 : 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 : n011.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 11:11:38 EDT 2023
% Result : Unsatisfiable 22.88s 12.38s
% Output : CNFRefutation 22.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 58
% Syntax : Number of formulae : 77 ( 14 unt; 48 typ; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 76 ( 38 >; 38 *; 0 +; 0 <<)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 10 con; 0-2 aty)
% Number of variables : 61 (; 61 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p8 > p6 > p4 > p39 > p37 > p35 > p33 > p31 > p3 > p29 > p27 > p25 > p23 > p22 > p20 > p2 > p18 > p16 > p14 > p12 > p11 > f7 > f5 > f38 > f36 > f34 > f32 > f30 > f28 > f26 > f24 > f21 > f19 > f17 > f15 > f13 > f10 > #nlpp > c49 > c48 > c47 > c46 > c45 > c44 > c43 > c42 > c41 > c40
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(f32,type,
f32: ( $i * $i ) > $i ).
tff(c47,type,
c47: $i ).
tff(f26,type,
f26: ( $i * $i ) > $i ).
tff(p23,type,
p23: ( $i * $i ) > $o ).
tff(c45,type,
c45: $i ).
tff(f19,type,
f19: ( $i * $i ) > $i ).
tff(f36,type,
f36: ( $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(c40,type,
c40: $i ).
tff(f24,type,
f24: ( $i * $i ) > $i ).
tff(f38,type,
f38: ( $i * $i ) > $i ).
tff(p29,type,
p29: ( $i * $i ) > $o ).
tff(c48,type,
c48: $i ).
tff(p20,type,
p20: ( $i * $i ) > $o ).
tff(f17,type,
f17: ( $i * $i ) > $i ).
tff(c42,type,
c42: $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(p31,type,
p31: ( $i * $i ) > $o ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(f30,type,
f30: ( $i * $i ) > $i ).
tff(p35,type,
p35: ( $i * $i ) > $o ).
tff(p33,type,
p33: ( $i * $i ) > $o ).
tff(f7,type,
f7: ( $i * $i ) > $i ).
tff(c41,type,
c41: $i ).
tff(c44,type,
c44: $i ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(f28,type,
f28: ( $i * $i ) > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(p37,type,
p37: ( $i * $i ) > $o ).
tff(p39,type,
p39: ( $i * $i ) > $o ).
tff(c46,type,
c46: $i ).
tff(p25,type,
p25: ( $i * $i ) > $o ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(c43,type,
c43: $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(f21,type,
f21: ( $i * $i ) > $i ).
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(p18,type,
p18: ( $i * $i ) > $o ).
tff(f_388,axiom,
! [X103,X105,X106,X104] :
( p39(f5(c40,f10(f13(f15(c42,X103),X105),X106)),X104)
| ~ p39(X103,X104) ),
file(unknown,unknown) ).
tff(f_233,axiom,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
file(unknown,unknown) ).
tff(f_55,axiom,
! [X31] : p2(X31,X31),
file(unknown,unknown) ).
tff(f_400,axiom,
! [X47,X48,X49] : p3(f7(c41,f10(f13(f15(c42,X47),X48),X49)),f10(f13(f15(c42,f17(f19(f21(c47,X47),X48),X49)),f26(f28(f30(c48,X47),X48),X49)),f34(f36(f38(c49,X47),X48),X49))),
file(unknown,unknown) ).
tff(f_250,axiom,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
file(unknown,unknown) ).
tff(f_282,axiom,
! [X118,X119,X120,X121] :
( p4(f5(X118,X119),f5(X120,X121))
| ~ p2(X118,X120)
| ~ p3(X119,X121) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X37] : p22(X37,X37),
file(unknown,unknown) ).
tff(f_249,axiom,
! [X107,X108,X110,X109] :
( p39(X107,X108)
| ~ p39(X110,X109)
| ~ p4(X110,X107)
| ~ p22(X109,X108) ),
file(unknown,unknown) ).
tff(f_383,axiom,
! [X103,X104,X105,X106] :
( p39(X103,X104)
| ~ p39(f5(c40,f10(f13(f15(c42,X103),X105),X106)),X104) ),
file(unknown,unknown) ).
tff(f_238,axiom,
! [X47,X50,X48,X49] :
( p39(X47,X50)
| ~ p39(f17(f19(f21(c47,X47),X48),X49),X50) ),
file(unknown,unknown) ).
tff(c_478,plain,
! [X103_383,X104_384,X105_385,X106_386] :
( ~ p39(X103_383,X104_384)
| p39(f5(c40,f10(f13(f15(c42,X103_383),X105_385),X106_386)),X104_384) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_86,plain,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_482,plain,
~ p39(c43,c46),
inference(resolution,[status(thm)],[c_478,c_86]) ).
tff(c_34,plain,
! [X31_17] : p2(X31_17,X31_17),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_134,plain,
! [X47_173,X48_174,X49_175] : p3(f7(c41,f10(f13(f15(c42,X47_173),X48_174),X49_175)),f10(f13(f15(c42,f17(f19(f21(c47,X47_173),X48_174),X49_175)),f26(f28(f30(c48,X47_173),X48_174),X49_175)),f34(f36(f38(c49,X47_173),X48_174),X49_175))),
inference(cnfTransformation,[status(thm)],[f_400]) ).
tff(c_92,plain,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_419,plain,
! [X119_351,X121_352,X118_353,X120_354] :
( ~ p3(X119_351,X121_352)
| ~ p2(X118_353,X120_354)
| p4(f5(X118_353,X119_351),f5(X120_354,X121_352)) ),
inference(cnfTransformation,[status(thm)],[f_282]) ).
tff(c_30,plain,
! [X37_15] : p22(X37_15,X37_15),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_341,plain,
! [X109_304,X108_305,X110_306,X107_307] :
( ~ p22(X109_304,X108_305)
| ~ p4(X110_306,X107_307)
| ~ p39(X110_306,X109_304)
| p39(X107_307,X108_305) ),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_344,plain,
! [X110_306,X107_307,X37_15] :
( ~ p4(X110_306,X107_307)
| ~ p39(X110_306,X37_15)
| p39(X107_307,X37_15) ),
inference(resolution,[status(thm)],[c_30,c_341]) ).
tff(c_795,plain,
! [X119_541,X37_540,X118_538,X120_539,X121_542] :
( ~ p39(f5(X118_538,X119_541),X37_540)
| p39(f5(X120_539,X121_542),X37_540)
| ~ p3(X119_541,X121_542)
| ~ p2(X118_538,X120_539) ),
inference(resolution,[status(thm)],[c_419,c_344]) ).
tff(c_1419,plain,
! [X120_843,X121_844] :
( p39(f5(X120_843,X121_844),c46)
| ~ p3(f7(c41,f10(f13(f15(c42,c43),c44),c45)),X121_844)
| ~ p2(c40,X120_843) ),
inference(resolution,[status(thm)],[c_92,c_795]) ).
tff(c_31107,plain,
! [X120_7693] :
( p39(f5(X120_7693,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),c46)
| ~ p2(c40,X120_7693) ),
inference(resolution,[status(thm)],[c_134,c_1419]) ).
tff(c_126,plain,
! [X103_157,X105_159,X106_160,X104_158] :
( ~ p39(f5(c40,f10(f13(f15(c42,X103_157),X105_159),X106_160)),X104_158)
| p39(X103_157,X104_158) ),
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_31133,plain,
( p39(f17(f19(f21(c47,c43),c44),c45),c46)
| ~ p2(c40,c40) ),
inference(resolution,[status(thm)],[c_31107,c_126]) ).
tff(c_31147,plain,
p39(f17(f19(f21(c47,c43),c44),c45),c46),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_31133]) ).
tff(c_88,plain,
! [X47_85,X48_87,X49_88,X50_86] :
( ~ p39(f17(f19(f21(c47,X47_85),X48_87),X49_88),X50_86)
| p39(X47_85,X50_86) ),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_31192,plain,
p39(c43,c46),
inference(resolution,[status(thm)],[c_31147,c_88]) ).
tff(c_31217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_482,c_31192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN691-1 : 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 : n011.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 17:09:06 EDT 2023
% 0.14/0.36 % CPUTime :
% 22.88/12.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.88/12.39
% 22.88/12.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 22.88/12.42
% 22.88/12.42 Inference rules
% 22.88/12.42 ----------------------
% 22.88/12.42 #Ref : 0
% 22.88/12.42 #Sup : 9478
% 22.88/12.42 #Fact : 0
% 22.88/12.42 #Define : 0
% 22.88/12.42 #Split : 0
% 22.88/12.42 #Chain : 0
% 22.88/12.42 #Close : 0
% 22.88/12.42
% 22.88/12.42 Ordering : KBO
% 22.88/12.42
% 22.88/12.42 Simplification rules
% 22.88/12.42 ----------------------
% 22.88/12.42 #Subsume : 733
% 22.88/12.42 #Demod : 52
% 22.88/12.42 #Tautology : 32
% 22.88/12.42 #SimpNegUnit : 1
% 22.88/12.42 #BackRed : 0
% 22.88/12.42
% 22.88/12.42 #Partial instantiations: 0
% 22.88/12.42 #Strategies tried : 1
% 22.88/12.42
% 22.88/12.42 Timing (in seconds)
% 22.88/12.42 ----------------------
% 22.88/12.43 Preprocessing : 0.59
% 22.88/12.43 Parsing : 0.33
% 22.88/12.43 CNF conversion : 0.04
% 22.88/12.43 Main loop : 10.67
% 22.88/12.43 Inferencing : 2.08
% 22.88/12.43 Reduction : 2.51
% 22.88/12.43 Demodulation : 1.64
% 22.88/12.43 BG Simplification : 0.10
% 22.88/12.43 Subsumption : 5.37
% 22.88/12.43 Abstraction : 0.16
% 22.88/12.43 MUC search : 0.00
% 22.88/12.43 Cooper : 0.00
% 22.88/12.43 Total : 11.33
% 22.88/12.43 Index Insertion : 0.00
% 22.88/12.43 Index Deletion : 0.00
% 22.88/12.43 Index Matching : 0.00
% 22.88/12.43 BG Taut test : 0.00
%------------------------------------------------------------------------------