TSTP Solution File: SEU406+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU406+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n016.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 10:58:38 EDT 2023
% Result : Theorem 6.54s 2.59s
% Output : CNFRefutation 6.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 52 ( 22 unt; 15 typ; 0 def)
% Number of atoms : 68 ( 5 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 60 ( 29 ~; 20 |; 9 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 8 >; 8 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 34 (; 34 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r2_hidden > m1_subset_1 > v1_xboole_0 > k4_xboole_0 > k2_xboole_0 > #nlpp > k1_xboole_0 > #skF_7 > #skF_6 > #skF_5 > #skF_2 > #skF_3 > #skF_1 > #skF_9 > #skF_8 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(k4_xboole_0,type,
k4_xboole_0: ( $i * $i ) > $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(k2_xboole_0,type,
k2_xboole_0: ( $i * $i ) > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_55,negated_conjecture,
~ ! [A,B,C,D] :
~ ( r2_hidden(A,k2_xboole_0(C,D))
& r2_hidden(B,k2_xboole_0(C,D))
& ~ ( r2_hidden(A,k4_xboole_0(C,D))
& r2_hidden(B,k4_xboole_0(C,D)) )
& ~ ( r2_hidden(A,D)
& r2_hidden(B,D) )
& ~ ( r2_hidden(A,k4_xboole_0(C,D))
& r2_hidden(B,D) )
& ~ ( r2_hidden(A,D)
& r2_hidden(B,k4_xboole_0(C,D)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_latsum_1) ).
tff(f_62,axiom,
! [A,B] : ( k2_xboole_0(A,B) = k2_xboole_0(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
tff(f_109,axiom,
! [A,B] : ( k2_xboole_0(A,k4_xboole_0(B,A)) = k2_xboole_0(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
tff(f_71,axiom,
! [A,B,C] :
( ( C = k2_xboole_0(A,B) )
<=> ! [D] :
( r2_hidden(D,C)
<=> ( r2_hidden(D,A)
| r2_hidden(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
tff(c_6,plain,
( ~ r2_hidden('#skF_2','#skF_4')
| ~ r2_hidden('#skF_1','#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_124,plain,
~ r2_hidden('#skF_1','#skF_4'),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_16,plain,
! [B_4,A_3] : ( k2_xboole_0(B_4,A_3) = k2_xboole_0(A_3,B_4) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_12,plain,
r2_hidden('#skF_1',k2_xboole_0('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_75,plain,
r2_hidden('#skF_1',k2_xboole_0('#skF_4','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_12]) ).
tff(c_64,plain,
! [A_24,B_25] : ( k2_xboole_0(A_24,k4_xboole_0(B_25,A_24)) = k2_xboole_0(A_24,B_25) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_534,plain,
! [D_80,B_81,A_82] :
( r2_hidden(D_80,B_81)
| r2_hidden(D_80,A_82)
| ~ r2_hidden(D_80,k2_xboole_0(A_82,B_81)) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_1549,plain,
! [D_172,B_173,A_174] :
( r2_hidden(D_172,k4_xboole_0(B_173,A_174))
| r2_hidden(D_172,A_174)
| ~ r2_hidden(D_172,k2_xboole_0(A_174,B_173)) ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_534]) ).
tff(c_4,plain,
( ~ r2_hidden('#skF_2','#skF_4')
| ~ r2_hidden('#skF_1',k4_xboole_0('#skF_3','#skF_4')) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_224,plain,
~ r2_hidden('#skF_1',k4_xboole_0('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_1611,plain,
( r2_hidden('#skF_1','#skF_4')
| ~ r2_hidden('#skF_1',k2_xboole_0('#skF_4','#skF_3')) ),
inference(resolution,[status(thm)],[c_1549,c_224]) ).
tff(c_1649,plain,
r2_hidden('#skF_1','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_75,c_1611]) ).
tff(c_1651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_1649]) ).
tff(c_1652,plain,
~ r2_hidden('#skF_2','#skF_4'),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_10,plain,
r2_hidden('#skF_2',k2_xboole_0('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_76,plain,
r2_hidden('#skF_2',k2_xboole_0('#skF_4','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_10]) ).
tff(c_1942,plain,
! [D_205,B_206,A_207] :
( r2_hidden(D_205,B_206)
| r2_hidden(D_205,A_207)
| ~ r2_hidden(D_205,k2_xboole_0(A_207,B_206)) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_3032,plain,
! [D_303,B_304,A_305] :
( r2_hidden(D_303,k4_xboole_0(B_304,A_305))
| r2_hidden(D_303,A_305)
| ~ r2_hidden(D_303,k2_xboole_0(A_305,B_304)) ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_1942]) ).
tff(c_1653,plain,
r2_hidden('#skF_1',k4_xboole_0('#skF_3','#skF_4')),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_8,plain,
( ~ r2_hidden('#skF_2',k4_xboole_0('#skF_3','#skF_4'))
| ~ r2_hidden('#skF_1',k4_xboole_0('#skF_3','#skF_4')) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_1723,plain,
~ r2_hidden('#skF_2',k4_xboole_0('#skF_3','#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_1653,c_8]) ).
tff(c_3092,plain,
( r2_hidden('#skF_2','#skF_4')
| ~ r2_hidden('#skF_2',k2_xboole_0('#skF_4','#skF_3')) ),
inference(resolution,[status(thm)],[c_3032,c_1723]) ).
tff(c_3131,plain,
r2_hidden('#skF_2','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_76,c_3092]) ).
tff(c_3133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1652,c_3131]) ).
tff(c_3134,plain,
~ r2_hidden('#skF_2','#skF_4'),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_3571,plain,
! [D_349,B_350,A_351] :
( r2_hidden(D_349,B_350)
| r2_hidden(D_349,A_351)
| ~ r2_hidden(D_349,k2_xboole_0(A_351,B_350)) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_4494,plain,
! [D_438,B_439,A_440] :
( r2_hidden(D_438,k4_xboole_0(B_439,A_440))
| r2_hidden(D_438,A_440)
| ~ r2_hidden(D_438,k2_xboole_0(A_440,B_439)) ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_3571]) ).
tff(c_3135,plain,
r2_hidden('#skF_1','#skF_4'),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_2,plain,
( ~ r2_hidden('#skF_2',k4_xboole_0('#skF_3','#skF_4'))
| ~ r2_hidden('#skF_1','#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_3155,plain,
~ r2_hidden('#skF_2',k4_xboole_0('#skF_3','#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_3135,c_2]) ).
tff(c_4559,plain,
( r2_hidden('#skF_2','#skF_4')
| ~ r2_hidden('#skF_2',k2_xboole_0('#skF_4','#skF_3')) ),
inference(resolution,[status(thm)],[c_4494,c_3155]) ).
tff(c_4592,plain,
r2_hidden('#skF_2','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_76,c_4559]) ).
tff(c_4594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3134,c_4592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU406+1 : TPTP v8.1.2. Released v3.4.0.
% 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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 12:19:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 6.54/2.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.54/2.60
% 6.54/2.60 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.54/2.62
% 6.54/2.62 Inference rules
% 6.54/2.62 ----------------------
% 6.54/2.62 #Ref : 0
% 6.54/2.62 #Sup : 1156
% 6.54/2.62 #Fact : 6
% 6.54/2.62 #Define : 0
% 6.54/2.62 #Split : 24
% 6.54/2.62 #Chain : 0
% 6.54/2.62 #Close : 0
% 6.54/2.62
% 6.54/2.63 Ordering : KBO
% 6.54/2.63
% 6.54/2.63 Simplification rules
% 6.54/2.63 ----------------------
% 6.54/2.63 #Subsume : 407
% 6.54/2.63 #Demod : 278
% 6.54/2.63 #Tautology : 257
% 6.54/2.63 #SimpNegUnit : 38
% 6.54/2.63 #BackRed : 3
% 6.54/2.63
% 6.54/2.63 #Partial instantiations: 0
% 6.54/2.63 #Strategies tried : 1
% 6.54/2.63
% 6.54/2.63 Timing (in seconds)
% 6.54/2.63 ----------------------
% 6.54/2.63 Preprocessing : 0.53
% 6.54/2.63 Parsing : 0.28
% 6.54/2.63 CNF conversion : 0.04
% 6.54/2.63 Main loop : 1.04
% 6.54/2.63 Inferencing : 0.34
% 6.54/2.63 Reduction : 0.33
% 6.54/2.63 Demodulation : 0.25
% 6.54/2.63 BG Simplification : 0.04
% 6.54/2.63 Subsumption : 0.25
% 6.54/2.63 Abstraction : 0.04
% 6.54/2.63 MUC search : 0.00
% 6.54/2.63 Cooper : 0.00
% 6.54/2.63 Total : 1.61
% 6.54/2.63 Index Insertion : 0.00
% 6.54/2.63 Index Deletion : 0.00
% 6.54/2.63 Index Matching : 0.00
% 6.54/2.63 BG Taut test : 0.00
%------------------------------------------------------------------------------