TSTP Solution File: KRS086+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS086+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n023.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 10:45:08 EDT 2023
% Result : Unsatisfiable 3.70s 1.84s
% Output : CNFRefutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 36 ( 7 unt; 14 typ; 0 def)
% Number of atoms : 47 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 44 ( 19 ~; 15 |; 6 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 13 >; 4 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 27 (; 24 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rr > rinvR > rinvF > rf > xsd_string > xsd_integer > cp1 > cowlThing > cowlNothing > cUnsatisfiable > #nlpp > i2003_11_14_17_19_42328 > #skF_2 > #skF_1 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(rf,type,
rf: ( $i * $i ) > $o ).
tff(rinvR,type,
rinvR: ( $i * $i ) > $o ).
tff(rr,type,
rr: ( $i * $i ) > $o ).
tff(i2003_11_14_17_19_42328,type,
i2003_11_14_17_19_42328: $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(rinvF,type,
rinvF: ( $i * $i ) > $o ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(cp1,type,
cp1: $i > $o ).
tff(f_169,axiom,
cUnsatisfiable(i2003_11_14_17_19_42328),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
tff(f_140,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( rf(X,Y)
& ? [Z] :
( rinvF(Y,Z)
& ? [W] :
( rf(Z,W)
& ~ cp1(W) ) )
& cp1(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_155,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(f_117,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_150,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y0)
& rf(X,Y1) )
=> ( Y0 = Y1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(c_62,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_89,plain,
! [X_93] :
( rinvF('#skF_1'(X_93),'#skF_2'(X_93))
| ~ cUnsatisfiable(X_93) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_52,plain,
! [Y_71,X_70] :
( rf(Y_71,X_70)
| ~ rinvF(X_70,Y_71) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_93,plain,
! [X_93] :
( rf('#skF_2'(X_93),'#skF_1'(X_93))
| ~ cUnsatisfiable(X_93) ),
inference(resolution,[status(thm)],[c_89,c_52]) ).
tff(c_44,plain,
! [X_39] :
( rf('#skF_2'(X_39),'#skF_3'(X_39))
| ~ cUnsatisfiable(X_39) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_30,plain,
! [X_37] : cowlThing(X_37),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_50,plain,
! [Y1_69,Y0_68,X_65] :
( ( Y1_69 = Y0_68 )
| ~ rf(X_65,Y1_69)
| ~ rf(X_65,Y0_68)
| ~ cowlThing(X_65) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_95,plain,
! [Y1_95,Y0_96,X_97] :
( ( Y1_95 = Y0_96 )
| ~ rf(X_97,Y1_95)
| ~ rf(X_97,Y0_96) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_50]) ).
tff(c_123,plain,
! [Y0_103,X_104] :
( ( Y0_103 = '#skF_3'(X_104) )
| ~ rf('#skF_2'(X_104),Y0_103)
| ~ cUnsatisfiable(X_104) ),
inference(resolution,[status(thm)],[c_44,c_95]) ).
tff(c_148,plain,
! [X_109] :
( ( '#skF_1'(X_109) = '#skF_3'(X_109) )
| ~ cUnsatisfiable(X_109) ),
inference(resolution,[status(thm)],[c_93,c_123]) ).
tff(c_152,plain,
'#skF_1'(i2003_11_14_17_19_42328) = '#skF_3'(i2003_11_14_17_19_42328),
inference(resolution,[status(thm)],[c_62,c_148]) ).
tff(c_40,plain,
! [X_39] :
( cp1('#skF_1'(X_39))
| ~ cUnsatisfiable(X_39) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_165,plain,
( cp1('#skF_3'(i2003_11_14_17_19_42328))
| ~ cUnsatisfiable(i2003_11_14_17_19_42328) ),
inference(superposition,[status(thm),theory(equality)],[c_152,c_40]) ).
tff(c_175,plain,
cp1('#skF_3'(i2003_11_14_17_19_42328)),
inference(demodulation,[status(thm),theory(equality)],[c_62,c_165]) ).
tff(c_42,plain,
! [X_39] :
( ~ cp1('#skF_3'(X_39))
| ~ cUnsatisfiable(X_39) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_179,plain,
~ cUnsatisfiable(i2003_11_14_17_19_42328),
inference(resolution,[status(thm)],[c_175,c_42]) ).
tff(c_183,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62,c_179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KRS086+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.15 % 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
% 0.16/0.37 % Computer : n023.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 20:28:37 EDT 2023
% 0.16/0.37 % CPUTime :
% 3.70/1.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.70/1.85
% 3.70/1.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.70/1.88
% 3.70/1.88 Inference rules
% 3.70/1.88 ----------------------
% 3.70/1.88 #Ref : 0
% 3.70/1.88 #Sup : 25
% 3.70/1.88 #Fact : 0
% 3.70/1.88 #Define : 0
% 3.70/1.88 #Split : 0
% 3.70/1.88 #Chain : 0
% 3.70/1.88 #Close : 0
% 3.70/1.88
% 3.70/1.88 Ordering : KBO
% 3.70/1.88
% 3.70/1.88 Simplification rules
% 3.70/1.88 ----------------------
% 3.70/1.88 #Subsume : 2
% 3.70/1.88 #Demod : 6
% 3.70/1.88 #Tautology : 21
% 3.70/1.88 #SimpNegUnit : 0
% 3.70/1.88 #BackRed : 0
% 3.70/1.88
% 3.70/1.88 #Partial instantiations: 0
% 3.70/1.88 #Strategies tried : 1
% 3.70/1.88
% 3.70/1.88 Timing (in seconds)
% 3.70/1.88 ----------------------
% 3.70/1.88 Preprocessing : 0.53
% 3.70/1.88 Parsing : 0.29
% 3.70/1.88 CNF conversion : 0.04
% 3.70/1.88 Main loop : 0.25
% 3.70/1.88 Inferencing : 0.11
% 3.70/1.88 Reduction : 0.06
% 3.70/1.88 Demodulation : 0.04
% 3.70/1.88 BG Simplification : 0.02
% 3.70/1.88 Subsumption : 0.06
% 3.70/1.88 Abstraction : 0.01
% 3.70/1.88 MUC search : 0.00
% 3.70/1.88 Cooper : 0.00
% 3.70/1.88 Total : 0.83
% 3.70/1.88 Index Insertion : 0.00
% 3.70/1.88 Index Deletion : 0.00
% 3.70/1.88 Index Matching : 0.00
% 3.70/1.88 BG Taut test : 0.00
%------------------------------------------------------------------------------