TSTP Solution File: COM012+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n015.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 10:35:17 EDT 2023
% Result : Theorem 3.92s 1.98s
% Output : CNFRefutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 44 ( 16 unt; 11 typ; 1 def)
% Number of atoms : 114 ( 21 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 135 ( 54 ~; 66 |; 10 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 7 >; 9 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 32 (; 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtmndtplgtdt0 > sdtmndtasgtdt0 > aReductOfIn0 > iLess0 > aRewritingSystem0 > aElement0 > #nlpp > xz > xy > xx > xR > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sdtmndtplgtdt0,type,
sdtmndtplgtdt0: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff(aReductOfIn0,type,
aReductOfIn0: ( $i * $i * $i ) > $o ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(xR,type,
xR: $i ).
tff(xy,type,
xy: $i ).
tff(xx,type,
xx: $i ).
tff(xz,type,
xz: $i ).
tff(aRewritingSystem0,type,
aRewritingSystem0: $i > $o ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(sdtmndtasgtdt0,type,
sdtmndtasgtdt0: ( $i * $i * $i ) > $o ).
tff(f_114,negated_conjecture,
~ ( ( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz) )
=> sdtmndtasgtdt0(xx,xR,xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_108,hypothesis,
( aElement0(xx)
& aRewritingSystem0(xR)
& aElement0(xy)
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__349) ).
tff(f_101,definition,
! [W0,W1,W2] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2) )
=> ( sdtmndtasgtdt0(W0,W1,W2)
<=> ( ( W0 = W2 )
| sdtmndtplgtdt0(W0,W1,W2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
tff(f_89,axiom,
! [W0,W1,W2,W3] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2)
& aElement0(W3) )
=> ( ( sdtmndtplgtdt0(W0,W1,W2)
& sdtmndtplgtdt0(W2,W1,W3) )
=> sdtmndtplgtdt0(W0,W1,W3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCTrans) ).
tff(c_38,plain,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_34,plain,
aRewritingSystem0(xR),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_36,plain,
aElement0(xx),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_32,plain,
aElement0(xy),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_42,plain,
sdtmndtasgtdt0(xx,xR,xy),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_24,plain,
! [W0_22,W1_23,W2_24] :
( sdtmndtplgtdt0(W0_22,W1_23,W2_24)
| ( W2_24 = W0_22 )
| ~ sdtmndtasgtdt0(W0_22,W1_23,W2_24)
| ~ aElement0(W2_24)
| ~ aRewritingSystem0(W1_23)
| ~ aElement0(W0_22) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_71,plain,
! [W0_49,W1_50,W3_51,W2_52] :
( sdtmndtplgtdt0(W0_49,W1_50,W3_51)
| ~ sdtmndtplgtdt0(W2_52,W1_50,W3_51)
| ~ sdtmndtplgtdt0(W0_49,W1_50,W2_52)
| ~ aElement0(W3_51)
| ~ aElement0(W2_52)
| ~ aRewritingSystem0(W1_50)
| ~ aElement0(W0_49) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_109,plain,
! [W0_71,W1_72,W2_73,W0_74] :
( sdtmndtplgtdt0(W0_71,W1_72,W2_73)
| ~ sdtmndtplgtdt0(W0_71,W1_72,W0_74)
| ~ aElement0(W0_71)
| ( W2_73 = W0_74 )
| ~ sdtmndtasgtdt0(W0_74,W1_72,W2_73)
| ~ aElement0(W2_73)
| ~ aRewritingSystem0(W1_72)
| ~ aElement0(W0_74) ),
inference(resolution,[status(thm)],[c_24,c_71]) ).
tff(c_128,plain,
! [W0_86,W1_87,W2_88,W2_89] :
( sdtmndtplgtdt0(W0_86,W1_87,W2_88)
| ( W2_89 = W2_88 )
| ~ sdtmndtasgtdt0(W2_89,W1_87,W2_88)
| ~ aElement0(W2_88)
| ( W2_89 = W0_86 )
| ~ sdtmndtasgtdt0(W0_86,W1_87,W2_89)
| ~ aElement0(W2_89)
| ~ aRewritingSystem0(W1_87)
| ~ aElement0(W0_86) ),
inference(resolution,[status(thm)],[c_24,c_109]) ).
tff(c_136,plain,
! [W0_86] :
( sdtmndtplgtdt0(W0_86,xR,xy)
| ( xy = xx )
| ~ aElement0(xy)
| ( xx = W0_86 )
| ~ sdtmndtasgtdt0(W0_86,xR,xx)
| ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| ~ aElement0(W0_86) ),
inference(resolution,[status(thm)],[c_42,c_128]) ).
tff(c_144,plain,
! [W0_86] :
( sdtmndtplgtdt0(W0_86,xR,xy)
| ( xy = xx )
| ( xx = W0_86 )
| ~ sdtmndtasgtdt0(W0_86,xR,xx)
| ~ aElement0(W0_86) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_36,c_32,c_136]) ).
tff(c_148,plain,
xy = xx,
inference(splitLeft,[status(thm)],[c_144]) ).
tff(c_40,plain,
sdtmndtasgtdt0(xy,xR,xz),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_151,plain,
sdtmndtasgtdt0(xx,xR,xz),
inference(demodulation,[status(thm),theory(equality)],[c_148,c_40]) ).
tff(c_154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38,c_151]) ).
tff(c_156,plain,
xy != xx,
inference(splitRight,[status(thm)],[c_144]) ).
tff(c_30,plain,
aElement0(xz),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_138,plain,
! [W0_86] :
( sdtmndtplgtdt0(W0_86,xR,xz)
| ( xz = xy )
| ~ aElement0(xz)
| ( xy = W0_86 )
| ~ sdtmndtasgtdt0(W0_86,xR,xy)
| ~ aElement0(xy)
| ~ aRewritingSystem0(xR)
| ~ aElement0(W0_86) ),
inference(resolution,[status(thm)],[c_40,c_128]) ).
tff(c_147,plain,
! [W0_86] :
( sdtmndtplgtdt0(W0_86,xR,xz)
| ( xz = xy )
| ( xy = W0_86 )
| ~ sdtmndtasgtdt0(W0_86,xR,xy)
| ~ aElement0(W0_86) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_32,c_30,c_138]) ).
tff(c_190,plain,
xz = xy,
inference(splitLeft,[status(thm)],[c_147]) ).
tff(c_208,plain,
~ sdtmndtasgtdt0(xx,xR,xy),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_38]) ).
tff(c_213,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_208]) ).
tff(c_216,plain,
! [W0_96] :
( sdtmndtplgtdt0(W0_96,xR,xz)
| ( xy = W0_96 )
| ~ sdtmndtasgtdt0(W0_96,xR,xy)
| ~ aElement0(W0_96) ),
inference(splitRight,[status(thm)],[c_147]) ).
tff(c_26,plain,
! [W0_22,W1_23,W2_24] :
( ~ sdtmndtplgtdt0(W0_22,W1_23,W2_24)
| sdtmndtasgtdt0(W0_22,W1_23,W2_24)
| ~ aElement0(W2_24)
| ~ aRewritingSystem0(W1_23)
| ~ aElement0(W0_22) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_227,plain,
! [W0_96] :
( sdtmndtasgtdt0(W0_96,xR,xz)
| ~ aElement0(xz)
| ~ aRewritingSystem0(xR)
| ( xy = W0_96 )
| ~ sdtmndtasgtdt0(W0_96,xR,xy)
| ~ aElement0(W0_96) ),
inference(resolution,[status(thm)],[c_216,c_26]) ).
tff(c_243,plain,
! [W0_97] :
( sdtmndtasgtdt0(W0_97,xR,xz)
| ( xy = W0_97 )
| ~ sdtmndtasgtdt0(W0_97,xR,xy)
| ~ aElement0(W0_97) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_30,c_227]) ).
tff(c_248,plain,
( ( xy = xx )
| ~ sdtmndtasgtdt0(xx,xR,xy)
| ~ aElement0(xx) ),
inference(resolution,[status(thm)],[c_243,c_38]) ).
tff(c_254,plain,
xy = xx,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_42,c_248]) ).
tff(c_256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156,c_254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.36 % Computer : n015.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 23:51:14 EDT 2023
% 0.13/0.36 % CPUTime :
% 3.92/1.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.92/1.99
% 3.92/1.99 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.20/2.02
% 4.20/2.02 Inference rules
% 4.20/2.02 ----------------------
% 4.20/2.02 #Ref : 0
% 4.20/2.02 #Sup : 41
% 4.20/2.02 #Fact : 0
% 4.20/2.02 #Define : 0
% 4.20/2.02 #Split : 3
% 4.20/2.02 #Chain : 0
% 4.20/2.02 #Close : 0
% 4.20/2.02
% 4.20/2.02 Ordering : KBO
% 4.20/2.02
% 4.20/2.02 Simplification rules
% 4.20/2.02 ----------------------
% 4.20/2.02 #Subsume : 5
% 4.20/2.02 #Demod : 43
% 4.20/2.02 #Tautology : 5
% 4.20/2.02 #SimpNegUnit : 2
% 4.20/2.02 #BackRed : 7
% 4.20/2.02
% 4.20/2.02 #Partial instantiations: 0
% 4.20/2.02 #Strategies tried : 1
% 4.20/2.02
% 4.20/2.02 Timing (in seconds)
% 4.20/2.02 ----------------------
% 4.20/2.02 Preprocessing : 0.50
% 4.20/2.02 Parsing : 0.26
% 4.20/2.02 CNF conversion : 0.03
% 4.20/2.02 Main loop : 0.38
% 4.20/2.02 Inferencing : 0.15
% 4.20/2.02 Reduction : 0.09
% 4.20/2.02 Demodulation : 0.06
% 4.20/2.02 BG Simplification : 0.02
% 4.20/2.02 Subsumption : 0.10
% 4.20/2.02 Abstraction : 0.02
% 4.20/2.02 MUC search : 0.00
% 4.20/2.02 Cooper : 0.00
% 4.20/2.02 Total : 0.93
% 4.20/2.02 Index Insertion : 0.00
% 4.20/2.02 Index Deletion : 0.00
% 4.20/2.02 Index Matching : 0.00
% 4.20/2.02 BG Taut test : 0.00
%------------------------------------------------------------------------------