TSTP Solution File: SYN555-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN555-1 : 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 : n014.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 11:11:17 EDT 2023
% Result : Unsatisfiable 3.19s 1.81s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 12 unt; 9 typ; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 5 >; 7 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 27 (; 27 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p4 > p3 > p2 > f6 > f5 > #nlpp > c9 > c8 > c7 > c10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c8,type,
c8: $i ).
tff(c9,type,
c9: $i ).
tff(f6,type,
f6: ( $i * $i * $i ) > $i ).
tff(c10,type,
c10: $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c7,type,
c7: $i ).
tff(f5,type,
f5: ( $i * $i * $i ) > $i ).
tff(f_30,axiom,
~ p4(f5(c7,c10,c8),c8),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X12] : p4(X12,X12),
file(unknown,unknown) ).
tff(f_28,axiom,
p4(f5(c7,c10,c9),c9),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X13,X14,X12] :
( p4(X13,X14)
| ~ p4(X12,X13)
| ~ p4(X12,X14) ),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X24] : p4(f5(c7,X24,c8),f5(c7,X24,c9)),
file(unknown,unknown) ).
tff(f_86,axiom,
! [X21,X22,X23] :
( p4(f5(c7,X21,X22),X22)
| ~ p4(f5(c7,X21,X23),X23)
| ~ p4(f5(c7,f6(X21,X23,X22),X23),f5(c7,f6(X21,X23,X22),X22)) ),
file(unknown,unknown) ).
tff(c_10,plain,
~ p4(f5(c7,c10,c8),c8),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_4,plain,
! [X12_2] : p4(X12_2,X12_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_8,plain,
p4(f5(c7,c10,c9),c9),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_28,plain,
! [X12_32,X14_33,X13_34] :
( ~ p4(X12_32,X14_33)
| ~ p4(X12_32,X13_34)
| p4(X13_34,X14_33) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_35,plain,
! [X12_35,X13_36] :
( ~ p4(X12_35,X13_36)
| p4(X13_36,X12_35) ),
inference(resolution,[status(thm)],[c_4,c_28]) ).
tff(c_40,plain,
p4(c9,f5(c7,c10,c9)),
inference(resolution,[status(thm)],[c_8,c_35]) ).
tff(c_16,plain,
! [X12_10,X14_9,X13_8] :
( ~ p4(X12_10,X14_9)
| ~ p4(X12_10,X13_8)
| p4(X13_8,X14_9) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_125,plain,
! [X13_56] :
( ~ p4(c9,X13_56)
| p4(X13_56,f5(c7,c10,c9)) ),
inference(resolution,[status(thm)],[c_40,c_16]) ).
tff(c_34,plain,
! [X12_2,X13_34] :
( ~ p4(X12_2,X13_34)
| p4(X13_34,X12_2) ),
inference(resolution,[status(thm)],[c_4,c_28]) ).
tff(c_137,plain,
! [X13_56] :
( p4(f5(c7,c10,c9),X13_56)
| ~ p4(c9,X13_56) ),
inference(resolution,[status(thm)],[c_125,c_34]) ).
tff(c_68,plain,
! [X24_47] : p4(f5(c7,X24_47,c8),f5(c7,X24_47,c9)),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_73,plain,
! [X24_47] : p4(f5(c7,X24_47,c9),f5(c7,X24_47,c8)),
inference(resolution,[status(thm)],[c_68,c_34]) ).
tff(c_223,plain,
! [X21_67,X23_68,X22_69] :
( ~ p4(f5(c7,f6(X21_67,X23_68,X22_69),X23_68),f5(c7,f6(X21_67,X23_68,X22_69),X22_69))
| ~ p4(f5(c7,X21_67,X23_68),X23_68)
| p4(f5(c7,X21_67,X22_69),X22_69) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_295,plain,
! [X21_74] :
( ~ p4(f5(c7,X21_74,c9),c9)
| p4(f5(c7,X21_74,c8),c8) ),
inference(resolution,[status(thm)],[c_73,c_223]) ).
tff(c_302,plain,
( p4(f5(c7,c10,c8),c8)
| ~ p4(c9,c9) ),
inference(resolution,[status(thm)],[c_137,c_295]) ).
tff(c_309,plain,
p4(f5(c7,c10,c8),c8),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_302]) ).
tff(c_311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN555-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 17:29:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.19/1.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.19/1.81
% 3.19/1.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.19/1.84
% 3.19/1.84 Inference rules
% 3.19/1.84 ----------------------
% 3.19/1.84 #Ref : 0
% 3.19/1.84 #Sup : 63
% 3.19/1.84 #Fact : 0
% 3.19/1.84 #Define : 0
% 3.19/1.84 #Split : 0
% 3.19/1.84 #Chain : 0
% 3.19/1.84 #Close : 0
% 3.19/1.84
% 3.19/1.84 Ordering : KBO
% 3.19/1.84
% 3.19/1.84 Simplification rules
% 3.19/1.84 ----------------------
% 3.19/1.84 #Subsume : 7
% 3.19/1.84 #Demod : 27
% 3.19/1.84 #Tautology : 20
% 3.19/1.84 #SimpNegUnit : 1
% 3.19/1.85 #BackRed : 0
% 3.19/1.85
% 3.19/1.85 #Partial instantiations: 0
% 3.19/1.85 #Strategies tried : 1
% 3.19/1.85
% 3.19/1.85 Timing (in seconds)
% 3.19/1.85 ----------------------
% 3.19/1.85 Preprocessing : 0.44
% 3.19/1.85 Parsing : 0.25
% 3.19/1.85 CNF conversion : 0.02
% 3.19/1.85 Main loop : 0.35
% 3.19/1.85 Inferencing : 0.15
% 3.19/1.85 Reduction : 0.09
% 3.19/1.85 Demodulation : 0.07
% 3.19/1.85 BG Simplification : 0.02
% 3.19/1.85 Subsumption : 0.08
% 3.19/1.85 Abstraction : 0.01
% 3.19/1.85 MUC search : 0.00
% 3.19/1.85 Cooper : 0.00
% 3.19/1.85 Total : 0.84
% 3.19/1.85 Index Insertion : 0.00
% 3.19/1.85 Index Deletion : 0.00
% 3.19/1.85 Index Matching : 0.00
% 3.19/1.85 BG Taut test : 0.00
%------------------------------------------------------------------------------