TSTP Solution File: SYN661-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN661-1 : 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/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 : n007.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 11:11:33 EDT 2023
% Result : Unsatisfiable 14.54s 5.73s
% Output : CNFRefutation 14.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 43
% Syntax : Number of formulae : 57 ( 12 unt; 36 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 26 >; 21 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-2 aty)
% Number of variables : 19 (; 19 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p23 > p7 > p6 > p3 > p27 > p26 > p25 > p24 > p2 > p19 > p18 > p14 > p12 > p10 > p22 > f21 > f20 > f16 > f15 > f13 > f11 > #nlpp > f9 > f8 > f5 > f4 > f17 > c37 > c36 > c35 > c34 > c33 > c32 > c31 > c30 > c29 > c28
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(c37,type,
c37: $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(f17,type,
f17: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c34,type,
c34: $i ).
tff(p23,type,
p23: ( $i * $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(p22,type,
p22: $i > $o ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(f5,type,
f5: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c36,type,
c36: $i ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(f9,type,
f9: $i > $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(c30,type,
c30: $i ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(c35,type,
c35: $i ).
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(f20,type,
f20: ( $i * $i ) > $i ).
tff(f_42,axiom,
p25(c36,c33),
file(unknown,unknown) ).
tff(f_43,axiom,
p25(c32,c36),
file(unknown,unknown) ).
tff(f_261,axiom,
! [X42] :
( p2(f11(f4(X42),c34),f11(f4(c32),c34))
| ~ p25(X42,c33)
| ~ p25(c32,X42) ),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X35] : p2(X35,X35),
file(unknown,unknown) ).
tff(f_125,axiom,
! [X36,X37,X35] :
( p2(X36,X37)
| ~ p2(X35,X36)
| ~ p2(X35,X37) ),
file(unknown,unknown) ).
tff(f_203,axiom,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X96] : ~ p2(X96,f16(X96,f9(f17(c31)))),
file(unknown,unknown) ).
tff(c_24,plain,
p25(c36,c33),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_26,plain,
p25(c32,c36),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_1332,plain,
! [X42_296] :
( ~ p25(c32,X42_296)
| ~ p25(X42_296,c33)
| p2(f11(f4(X42_296),c34),f11(f4(c32),c34)) ),
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_12,plain,
! [X35_5] : p2(X35_5,X35_5),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_363,plain,
! [X35_187,X37_188,X36_189] :
( ~ p2(X35_187,X37_188)
| ~ p2(X35_187,X36_189)
| p2(X36_189,X37_188) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_378,plain,
! [X35_5,X36_189] :
( ~ p2(X35_5,X36_189)
| p2(X36_189,X35_5) ),
inference(resolution,[status(thm)],[c_12,c_363]) ).
tff(c_19498,plain,
! [X42_865] :
( p2(f11(f4(c32),c34),f11(f4(X42_865),c34))
| ~ p25(c32,X42_865)
| ~ p25(X42_865,c33) ),
inference(resolution,[status(thm)],[c_1332,c_378]) ).
tff(c_80,plain,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_60,plain,
! [X35_38,X37_37,X36_36] :
( ~ p2(X35_38,X37_37)
| ~ p2(X35_38,X36_36)
| p2(X36_36,X37_37) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_5923,plain,
! [X36_536] :
( ~ p2(f11(f4(c32),c34),X36_536)
| p2(X36_536,f16(f11(f4(c36),c34),f9(f17(c31)))) ),
inference(resolution,[status(thm)],[c_80,c_60]) ).
tff(c_38,plain,
! [X96_11] : ~ p2(X96_11,f16(X96_11,f9(f17(c31)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_6079,plain,
~ p2(f11(f4(c32),c34),f11(f4(c36),c34)),
inference(resolution,[status(thm)],[c_5923,c_38]) ).
tff(c_19532,plain,
( ~ p25(c32,c36)
| ~ p25(c36,c33) ),
inference(resolution,[status(thm)],[c_19498,c_6079]) ).
tff(c_19607,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_19532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN661-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 17:06:23 EDT 2023
% 0.15/0.37 % CPUTime :
% 14.54/5.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.54/5.73
% 14.54/5.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.57/5.76
% 14.57/5.76 Inference rules
% 14.57/5.76 ----------------------
% 14.57/5.76 #Ref : 0
% 14.57/5.76 #Sup : 5662
% 14.57/5.76 #Fact : 0
% 14.57/5.76 #Define : 0
% 14.57/5.76 #Split : 52
% 14.57/5.76 #Chain : 0
% 14.57/5.76 #Close : 0
% 14.57/5.76
% 14.57/5.76 Ordering : KBO
% 14.57/5.76
% 14.57/5.76 Simplification rules
% 14.57/5.76 ----------------------
% 14.57/5.76 #Subsume : 1146
% 14.57/5.76 #Demod : 485
% 14.57/5.76 #Tautology : 179
% 14.57/5.76 #SimpNegUnit : 13
% 14.57/5.76 #BackRed : 0
% 14.57/5.76
% 14.57/5.76 #Partial instantiations: 0
% 14.57/5.76 #Strategies tried : 1
% 14.57/5.76
% 14.57/5.76 Timing (in seconds)
% 14.57/5.76 ----------------------
% 14.57/5.76 Preprocessing : 0.54
% 14.57/5.76 Parsing : 0.28
% 14.57/5.76 CNF conversion : 0.04
% 14.57/5.76 Main loop : 4.15
% 14.57/5.76 Inferencing : 0.84
% 14.57/5.76 Reduction : 1.02
% 14.57/5.76 Demodulation : 0.62
% 14.57/5.76 BG Simplification : 0.07
% 14.57/5.76 Subsumption : 1.93
% 14.57/5.76 Abstraction : 0.07
% 14.57/5.76 MUC search : 0.00
% 14.57/5.76 Cooper : 0.00
% 14.57/5.76 Total : 4.73
% 14.57/5.76 Index Insertion : 0.00
% 14.57/5.76 Index Deletion : 0.00
% 14.57/5.76 Index Matching : 0.00
% 14.57/5.76 BG Taut test : 0.00
%------------------------------------------------------------------------------