TSTP Solution File: KRS116+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS116+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 : 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 10:45:12 EDT 2023
% Result : Unsatisfiable 5.89s 2.35s
% Output : CNFRefutation 6.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 51
% Syntax : Number of formulae : 88 ( 4 unt; 37 typ; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 133 ( 54 ~; 49 |; 9 &)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 43 ( 36 >; 7 *; 0 +; 0 <<)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 1 con; 0-1 aty)
% Number of variables : 75 (; 69 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rs > rr > rp > rinvS > rinvR > rinvP > ra_Px1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cc > caxcomp > ca_Vx7 > ca_Vx6 > ca_Vx5 > ca_Vx4 > ca_Vx3 > ca_Ax2 > ca > cUnsatisfiable > #nlpp > i2003_11_14_17_21_33997 > #skF_9 > #skF_7 > #skF_5 > #skF_2 > #skF_4 > #skF_1 > #skF_8 > #skF_15 > #skF_10 > #skF_13 > #skF_3 > #skF_11 > #skF_14 > #skF_12 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(rinvR,type,
rinvR: ( $i * $i ) > $o ).
tff(rr,type,
rr: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(cc,type,
cc: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(ca_Vx7,type,
ca_Vx7: $i > $o ).
tff(rinvS,type,
rinvS: ( $i * $i ) > $o ).
tff(caxcomp,type,
caxcomp: $i > $o ).
tff(rinvP,type,
rinvP: ( $i * $i ) > $o ).
tff(rs,type,
rs: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(ca_Ax2,type,
ca_Ax2: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(i2003_11_14_17_21_33997,type,
i2003_11_14_17_21_33997: $i ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(ca_Vx4,type,
ca_Vx4: $i > $o ).
tff(ca_Vx6,type,
ca_Vx6: $i > $o ).
tff(ca,type,
ca: $i > $o ).
tff(ra_Px1,type,
ra_Px1: ( $i * $i ) > $o ).
tff(ca_Vx3,type,
ca_Vx3: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(ca_Vx5,type,
ca_Vx5: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(rp,type,
rp: ( $i * $i ) > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_44,axiom,
! [X] :
( cUnsatisfiable(X)
=> ca(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_52,axiom,
! [X] :
( cUnsatisfiable(X)
=> ? [Y] :
( rs(X,Y)
& ca_Ax2(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(f_106,axiom,
! [X] :
( ca_Ax2(X)
<=> ( ! [Y] :
( rp(X,Y)
=> ca_Vx3(Y) )
& ! [Y] :
( rp(X,Y)
=> ca_Vx5(Y) )
& ! [Y] :
( rr(X,Y)
=> cc(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) )
& ? [Y] :
( rp(X,Y)
& cowlThing(Y) )
& ! [Y] :
( rp(X,Y)
=> ca_Vx4(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
tff(f_114,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
tff(f_130,axiom,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
tff(f_156,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
tff(f_73,axiom,
! [X] :
( cc(X)
<=> ! [Y] :
( rinvR(X,Y)
=> ca_Vx7(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
tff(f_151,axiom,
! [X,Y] :
( rinvP(X,Y)
<=> rp(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
tff(f_146,axiom,
! [X] :
( ca_Vx7(X)
<=> ! [Y] :
( rinvP(X,Y)
=> ca_Vx6(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
tff(f_161,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
tff(f_138,axiom,
! [X] :
( ca_Vx6(X)
<=> ! [Y] :
( rinvS(X,Y)
=> caxcomp(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
tff(f_65,axiom,
! [X] :
( caxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(f_59,axiom,
! [X] :
( ca(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(f_170,axiom,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
tff(c_10,plain,
! [X_3] :
( ca(X_3)
| ~ cUnsatisfiable(X_3) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_12,plain,
! [X_4] :
( ca_Ax2('#skF_1'(X_4))
| ~ cUnsatisfiable(X_4) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_34,plain,
! [X_18] :
( rp(X_18,'#skF_10'(X_18))
| ~ ca_Ax2(X_18) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_419,plain,
! [Y_140,X_141] :
( ca_Vx3(Y_140)
| ~ rp(X_141,Y_140)
| ~ ca_Ax2(X_141) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_431,plain,
! [X_18] :
( ca_Vx3('#skF_10'(X_18))
| ~ ca_Ax2(X_18) ),
inference(resolution,[status(thm)],[c_34,c_419]) ).
tff(c_405,plain,
! [Y_137,X_138] :
( ca_Vx5(Y_137)
| ~ rp(X_138,Y_137)
| ~ ca_Ax2(X_138) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_417,plain,
! [X_18] :
( ca_Vx5('#skF_10'(X_18))
| ~ ca_Ax2(X_18) ),
inference(resolution,[status(thm)],[c_34,c_405]) ).
tff(c_82,plain,
! [X_37] :
( rr(X_37,'#skF_11'(X_37))
| ~ ca_Vx3(X_37) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_379,plain,
! [Y_133,X_134] :
( cc(Y_133)
| ~ rr(X_134,Y_133)
| ~ ca_Vx5(X_134) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_394,plain,
! [X_37] :
( cc('#skF_11'(X_37))
| ~ ca_Vx5(X_37)
| ~ ca_Vx3(X_37) ),
inference(resolution,[status(thm)],[c_82,c_379]) ).
tff(c_246,plain,
! [X_106] :
( rr(X_106,'#skF_11'(X_106))
| ~ ca_Vx3(X_106) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_114,plain,
! [X_59,Y_60] :
( rinvR(X_59,Y_60)
| ~ rr(Y_60,X_59) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_253,plain,
! [X_106] :
( rinvR('#skF_11'(X_106),X_106)
| ~ ca_Vx3(X_106) ),
inference(resolution,[status(thm)],[c_246,c_114]) ).
tff(c_319,plain,
! [Y_122,X_123] :
( ca_Vx7(Y_122)
| ~ rinvR(X_123,Y_122)
| ~ cc(X_123) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_552,plain,
! [X_171] :
( ca_Vx7(X_171)
| ~ cc('#skF_11'(X_171))
| ~ ca_Vx3(X_171) ),
inference(resolution,[status(thm)],[c_253,c_319]) ).
tff(c_560,plain,
! [X_37] :
( ca_Vx7(X_37)
| ~ ca_Vx5(X_37)
| ~ ca_Vx3(X_37) ),
inference(resolution,[status(thm)],[c_394,c_552]) ).
tff(c_255,plain,
! [X_107,Y_108] :
( rinvP(X_107,Y_108)
| ~ rp(Y_108,X_107) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_259,plain,
! [X_18] :
( rinvP('#skF_10'(X_18),X_18)
| ~ ca_Ax2(X_18) ),
inference(resolution,[status(thm)],[c_34,c_255]) ).
tff(c_433,plain,
! [Y_143,X_144] :
( ca_Vx6(Y_143)
| ~ rinvP(X_144,Y_143)
| ~ ca_Vx7(X_144) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_581,plain,
! [X_176] :
( ca_Vx6(X_176)
| ~ ca_Vx7('#skF_10'(X_176))
| ~ ca_Ax2(X_176) ),
inference(resolution,[status(thm)],[c_259,c_433]) ).
tff(c_1802,plain,
! [X_272] :
( ca_Vx6(X_272)
| ~ ca_Ax2(X_272)
| ~ ca_Vx5('#skF_10'(X_272))
| ~ ca_Vx3('#skF_10'(X_272)) ),
inference(resolution,[status(thm)],[c_560,c_581]) ).
tff(c_1852,plain,
! [X_276] :
( ca_Vx6(X_276)
| ~ ca_Vx3('#skF_10'(X_276))
| ~ ca_Ax2(X_276) ),
inference(resolution,[status(thm)],[c_417,c_1802]) ).
tff(c_1861,plain,
! [X_277] :
( ca_Vx6(X_277)
| ~ ca_Ax2(X_277) ),
inference(resolution,[status(thm)],[c_431,c_1852]) ).
tff(c_211,plain,
! [X_98] :
( rs(X_98,'#skF_1'(X_98))
| ~ cUnsatisfiable(X_98) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_118,plain,
! [X_61,Y_62] :
( rinvS(X_61,Y_62)
| ~ rs(Y_62,X_61) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_215,plain,
! [X_98] :
( rinvS('#skF_1'(X_98),X_98)
| ~ cUnsatisfiable(X_98) ),
inference(resolution,[status(thm)],[c_211,c_118]) ).
tff(c_396,plain,
! [Y_135,X_136] :
( caxcomp(Y_135)
| ~ rinvS(X_136,Y_135)
| ~ ca_Vx6(X_136) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_403,plain,
! [X_98] :
( caxcomp(X_98)
| ~ ca_Vx6('#skF_1'(X_98))
| ~ cUnsatisfiable(X_98) ),
inference(resolution,[status(thm)],[c_215,c_396]) ).
tff(c_1870,plain,
! [X_278] :
( caxcomp(X_278)
| ~ cUnsatisfiable(X_278)
| ~ ca_Ax2('#skF_1'(X_278)) ),
inference(resolution,[status(thm)],[c_1861,c_403]) ).
tff(c_1875,plain,
! [X_279] :
( caxcomp(X_279)
| ~ cUnsatisfiable(X_279) ),
inference(resolution,[status(thm)],[c_12,c_1870]) ).
tff(c_192,plain,
! [X_90] :
( ra_Px1(X_90,'#skF_3'(X_90))
| ~ caxcomp(X_90) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_16,plain,
! [X_6,Y_9] :
( ~ ra_Px1(X_6,Y_9)
| ~ ca(X_6) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_200,plain,
! [X_90] :
( ~ ca(X_90)
| ~ caxcomp(X_90) ),
inference(resolution,[status(thm)],[c_192,c_16]) ).
tff(c_1884,plain,
! [X_280] :
( ~ ca(X_280)
| ~ cUnsatisfiable(X_280) ),
inference(resolution,[status(thm)],[c_1875,c_200]) ).
tff(c_1892,plain,
! [X_3] : ~ cUnsatisfiable(X_3),
inference(resolution,[status(thm)],[c_10,c_1884]) ).
tff(c_122,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_1894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1892,c_122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % 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
% 0.14/0.36 % Computer : n014.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 20:05:48 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.89/2.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.89/2.35
% 5.89/2.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.04/2.39
% 6.04/2.39 Inference rules
% 6.04/2.39 ----------------------
% 6.04/2.39 #Ref : 0
% 6.04/2.39 #Sup : 447
% 6.04/2.39 #Fact : 0
% 6.04/2.39 #Define : 0
% 6.04/2.39 #Split : 0
% 6.04/2.39 #Chain : 0
% 6.04/2.39 #Close : 0
% 6.04/2.39
% 6.04/2.39 Ordering : KBO
% 6.04/2.39
% 6.04/2.39 Simplification rules
% 6.04/2.39 ----------------------
% 6.04/2.39 #Subsume : 158
% 6.04/2.39 #Demod : 38
% 6.04/2.39 #Tautology : 49
% 6.04/2.39 #SimpNegUnit : 1
% 6.04/2.39 #BackRed : 1
% 6.04/2.39
% 6.04/2.39 #Partial instantiations: 0
% 6.04/2.39 #Strategies tried : 1
% 6.04/2.39
% 6.04/2.39 Timing (in seconds)
% 6.04/2.39 ----------------------
% 6.04/2.39 Preprocessing : 0.54
% 6.04/2.39 Parsing : 0.27
% 6.04/2.39 CNF conversion : 0.05
% 6.04/2.39 Main loop : 0.77
% 6.04/2.39 Inferencing : 0.30
% 6.04/2.39 Reduction : 0.17
% 6.04/2.39 Demodulation : 0.11
% 6.04/2.39 BG Simplification : 0.04
% 6.04/2.39 Subsumption : 0.20
% 6.04/2.39 Abstraction : 0.03
% 6.04/2.39 MUC search : 0.00
% 6.04/2.39 Cooper : 0.00
% 6.04/2.39 Total : 1.36
% 6.04/2.39 Index Insertion : 0.00
% 6.04/2.39 Index Deletion : 0.00
% 6.04/2.40 Index Matching : 0.00
% 6.04/2.40 BG Taut test : 0.00
%------------------------------------------------------------------------------