TSTP Solution File: ALG075+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG075+1 : TPTP v8.1.2. Released v2.7.0.
% 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 : n021.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 10:31:06 EDT 2023
% Result : Theorem 7.01s 2.63s
% Output : CNFRefutation 7.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 63 ( 40 unt; 14 typ; 0 def)
% Number of atoms : 229 ( 223 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 195 ( 15 ~; 54 |; 125 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op2 > op1 > #nlpp > j > h > e24 > e23 > e22 > e21 > e20 > e14 > e13 > e12 > e11 > e10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e21,type,
e21: $i ).
tff(e24,type,
e24: $i ).
tff(e20,type,
e20: $i ).
tff(e13,type,
e13: $i ).
tff(e22,type,
e22: $i ).
tff(op2,type,
op2: ( $i * $i ) > $i ).
tff(op1,type,
op1: ( $i * $i ) > $i ).
tff(e10,type,
e10: $i ).
tff(h,type,
h: $i > $i ).
tff(e23,type,
e23: $i ).
tff(e14,type,
e14: $i ).
tff(e12,type,
e12: $i ).
tff(j,type,
j: $i > $i ).
tff(e11,type,
e11: $i ).
tff(f_54,axiom,
( ( e10 != e11 )
& ( e10 != e12 )
& ( e10 != e13 )
& ( e10 != e14 )
& ( e11 != e12 )
& ( e11 != e13 )
& ( e11 != e14 )
& ( e12 != e13 )
& ( e12 != e14 )
& ( e13 != e14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f_476,negated_conjecture,
~ ( ( ( ( h(e10) = e20 )
| ( h(e10) = e21 )
| ( h(e10) = e22 )
| ( h(e10) = e23 )
| ( h(e10) = e24 ) )
& ( ( h(e11) = e20 )
| ( h(e11) = e21 )
| ( h(e11) = e22 )
| ( h(e11) = e23 )
| ( h(e11) = e24 ) )
& ( ( h(e12) = e20 )
| ( h(e12) = e21 )
| ( h(e12) = e22 )
| ( h(e12) = e23 )
| ( h(e12) = e24 ) )
& ( ( h(e13) = e20 )
| ( h(e13) = e21 )
| ( h(e13) = e22 )
| ( h(e13) = e23 )
| ( h(e13) = e24 ) )
& ( ( h(e14) = e20 )
| ( h(e14) = e21 )
| ( h(e14) = e22 )
| ( h(e14) = e23 )
| ( h(e14) = e24 ) )
& ( ( j(e20) = e10 )
| ( j(e20) = e11 )
| ( j(e20) = e12 )
| ( j(e20) = e13 )
| ( j(e20) = e14 ) )
& ( ( j(e21) = e10 )
| ( j(e21) = e11 )
| ( j(e21) = e12 )
| ( j(e21) = e13 )
| ( j(e21) = e14 ) )
& ( ( j(e22) = e10 )
| ( j(e22) = e11 )
| ( j(e22) = e12 )
| ( j(e22) = e13 )
| ( j(e22) = e14 ) )
& ( ( j(e23) = e10 )
| ( j(e23) = e11 )
| ( j(e23) = e12 )
| ( j(e23) = e13 )
| ( j(e23) = e14 ) )
& ( ( j(e24) = e10 )
| ( j(e24) = e11 )
| ( j(e24) = e12 )
| ( j(e24) = e13 )
| ( j(e24) = e14 ) ) )
=> ~ ( ( h(op1(e10,e10)) = op2(h(e10),h(e10)) )
& ( h(op1(e10,e11)) = op2(h(e10),h(e11)) )
& ( h(op1(e10,e12)) = op2(h(e10),h(e12)) )
& ( h(op1(e10,e13)) = op2(h(e10),h(e13)) )
& ( h(op1(e10,e14)) = op2(h(e10),h(e14)) )
& ( h(op1(e11,e10)) = op2(h(e11),h(e10)) )
& ( h(op1(e11,e11)) = op2(h(e11),h(e11)) )
& ( h(op1(e11,e12)) = op2(h(e11),h(e12)) )
& ( h(op1(e11,e13)) = op2(h(e11),h(e13)) )
& ( h(op1(e11,e14)) = op2(h(e11),h(e14)) )
& ( h(op1(e12,e10)) = op2(h(e12),h(e10)) )
& ( h(op1(e12,e11)) = op2(h(e12),h(e11)) )
& ( h(op1(e12,e12)) = op2(h(e12),h(e12)) )
& ( h(op1(e12,e13)) = op2(h(e12),h(e13)) )
& ( h(op1(e12,e14)) = op2(h(e12),h(e14)) )
& ( h(op1(e13,e10)) = op2(h(e13),h(e10)) )
& ( h(op1(e13,e11)) = op2(h(e13),h(e11)) )
& ( h(op1(e13,e12)) = op2(h(e13),h(e12)) )
& ( h(op1(e13,e13)) = op2(h(e13),h(e13)) )
& ( h(op1(e13,e14)) = op2(h(e13),h(e14)) )
& ( h(op1(e14,e10)) = op2(h(e14),h(e10)) )
& ( h(op1(e14,e11)) = op2(h(e14),h(e11)) )
& ( h(op1(e14,e12)) = op2(h(e14),h(e12)) )
& ( h(op1(e14,e13)) = op2(h(e14),h(e13)) )
& ( h(op1(e14,e14)) = op2(h(e14),h(e14)) )
& ( j(op2(e20,e20)) = op1(j(e20),j(e20)) )
& ( j(op2(e20,e21)) = op1(j(e20),j(e21)) )
& ( j(op2(e20,e22)) = op1(j(e20),j(e22)) )
& ( j(op2(e20,e23)) = op1(j(e20),j(e23)) )
& ( j(op2(e20,e24)) = op1(j(e20),j(e24)) )
& ( j(op2(e21,e20)) = op1(j(e21),j(e20)) )
& ( j(op2(e21,e21)) = op1(j(e21),j(e21)) )
& ( j(op2(e21,e22)) = op1(j(e21),j(e22)) )
& ( j(op2(e21,e23)) = op1(j(e21),j(e23)) )
& ( j(op2(e21,e24)) = op1(j(e21),j(e24)) )
& ( j(op2(e22,e20)) = op1(j(e22),j(e20)) )
& ( j(op2(e22,e21)) = op1(j(e22),j(e21)) )
& ( j(op2(e22,e22)) = op1(j(e22),j(e22)) )
& ( j(op2(e22,e23)) = op1(j(e22),j(e23)) )
& ( j(op2(e22,e24)) = op1(j(e22),j(e24)) )
& ( j(op2(e23,e20)) = op1(j(e23),j(e20)) )
& ( j(op2(e23,e21)) = op1(j(e23),j(e21)) )
& ( j(op2(e23,e22)) = op1(j(e23),j(e22)) )
& ( j(op2(e23,e23)) = op1(j(e23),j(e23)) )
& ( j(op2(e23,e24)) = op1(j(e23),j(e24)) )
& ( j(op2(e24,e20)) = op1(j(e24),j(e20)) )
& ( j(op2(e24,e21)) = op1(j(e24),j(e21)) )
& ( j(op2(e24,e22)) = op1(j(e24),j(e22)) )
& ( j(op2(e24,e23)) = op1(j(e24),j(e23)) )
& ( j(op2(e24,e24)) = op1(j(e24),j(e24)) )
& ( h(j(e20)) = e20 )
& ( h(j(e21)) = e21 )
& ( h(j(e22)) = e22 )
& ( h(j(e23)) = e23 )
& ( h(j(e24)) = e24 )
& ( j(h(e10)) = e10 )
& ( j(h(e11)) = e11 )
& ( j(h(e12)) = e12 )
& ( j(h(e13)) = e13 )
& ( j(h(e14)) = e14 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_206,axiom,
( ( op1(e10,e10) = e10 )
& ( op1(e10,e11) = e11 )
& ( op1(e10,e12) = e12 )
& ( op1(e10,e13) = e13 )
& ( op1(e10,e14) = e14 )
& ( op1(e11,e10) = e11 )
& ( op1(e11,e11) = e14 )
& ( op1(e11,e12) = e10 )
& ( op1(e11,e13) = e12 )
& ( op1(e11,e14) = e13 )
& ( op1(e12,e10) = e12 )
& ( op1(e12,e11) = e10 )
& ( op1(e12,e12) = e13 )
& ( op1(e12,e13) = e14 )
& ( op1(e12,e14) = e11 )
& ( op1(e13,e10) = e13 )
& ( op1(e13,e11) = e12 )
& ( op1(e13,e12) = e14 )
& ( op1(e13,e13) = e11 )
& ( op1(e13,e14) = e10 )
& ( op1(e14,e10) = e14 )
& ( op1(e14,e11) = e13 )
& ( op1(e14,e12) = e11 )
& ( op1(e14,e13) = e10 )
& ( op1(e14,e14) = e12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f_255,axiom,
( ( op2(e20,e20) = e20 )
& ( op2(e20,e21) = e21 )
& ( op2(e20,e22) = e22 )
& ( op2(e20,e23) = e23 )
& ( op2(e20,e24) = e24 )
& ( op2(e21,e20) = e21 )
& ( op2(e21,e21) = e20 )
& ( op2(e21,e22) = e23 )
& ( op2(e21,e23) = e24 )
& ( op2(e21,e24) = e22 )
& ( op2(e22,e20) = e22 )
& ( op2(e22,e21) = e24 )
& ( op2(e22,e22) = e20 )
& ( op2(e22,e23) = e21 )
& ( op2(e22,e24) = e23 )
& ( op2(e23,e20) = e23 )
& ( op2(e23,e21) = e22 )
& ( op2(e23,e22) = e24 )
& ( op2(e23,e23) = e20 )
& ( op2(e23,e24) = e21 )
& ( op2(e24,e20) = e24 )
& ( op2(e24,e21) = e23 )
& ( op2(e24,e22) = e21 )
& ( op2(e24,e23) = e22 )
& ( op2(e24,e24) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(c_4,plain,
e14 != e12,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_322,plain,
( ( h(e14) = e24 )
| ( h(e14) = e23 )
| ( h(e14) = e22 )
| ( h(e14) = e21 )
| ( h(e14) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_1036,plain,
h(e14) = e20,
inference(splitLeft,[status(thm)],[c_322]) ).
tff(c_192,plain,
j(h(e14)) = e14,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_1038,plain,
j(e20) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_1036,c_192]) ).
tff(c_92,plain,
op1(e14,e14) = e12,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_190,plain,
op2(e20,e20) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_260,plain,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_331,plain,
op1(j(e20),j(e20)) = j(e20),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_260]) ).
tff(c_1058,plain,
e14 = e12,
inference(demodulation,[status(thm),theory(equality)],[c_1038,c_92,c_1038,c_1038,c_331]) ).
tff(c_1059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_1058]) ).
tff(c_1061,plain,
h(e14) != e20,
inference(splitRight,[status(thm)],[c_322]) ).
tff(c_166,plain,
op2(e22,e22) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_154,plain,
op2(e23,e23) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_178,plain,
op2(e21,e21) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_142,plain,
op2(e24,e24) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_8,plain,
e14 != e11,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_128,plain,
op1(e11,e11) = e14,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_328,plain,
( ( h(e11) = e24 )
| ( h(e11) = e23 )
| ( h(e11) = e22 )
| ( h(e11) = e21 )
| ( h(e11) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_597,plain,
h(e11) = e20,
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_198,plain,
j(h(e11)) = e11,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_598,plain,
j(e20) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_597,c_198]) ).
tff(c_802,plain,
e14 = e11,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_598,c_598,c_598,c_331]) ).
tff(c_803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_802]) ).
tff(c_804,plain,
( ( h(e11) = e21 )
| ( h(e11) = e22 )
| ( h(e11) = e23 )
| ( h(e11) = e24 ) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_1357,plain,
h(e11) = e24,
inference(splitLeft,[status(thm)],[c_804]) ).
tff(c_298,plain,
op2(h(e11),h(e11)) = h(op1(e11,e11)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_362,plain,
op2(h(e11),h(e11)) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_298]) ).
tff(c_1362,plain,
op2(e24,e24) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_1357,c_1357,c_362]) ).
tff(c_1372,plain,
h(e14) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_1362]) ).
tff(c_1374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1061,c_1372]) ).
tff(c_1375,plain,
( ( h(e11) = e23 )
| ( h(e11) = e22 )
| ( h(e11) = e21 ) ),
inference(splitRight,[status(thm)],[c_804]) ).
tff(c_1377,plain,
h(e11) = e21,
inference(splitLeft,[status(thm)],[c_1375]) ).
tff(c_1383,plain,
op2(e21,e21) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_1377,c_1377,c_362]) ).
tff(c_1393,plain,
h(e14) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_178,c_1383]) ).
tff(c_1395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1061,c_1393]) ).
tff(c_1396,plain,
( ( h(e11) = e22 )
| ( h(e11) = e23 ) ),
inference(splitRight,[status(thm)],[c_1375]) ).
tff(c_1398,plain,
h(e11) = e23,
inference(splitLeft,[status(thm)],[c_1396]) ).
tff(c_1406,plain,
op2(e23,e23) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_1398,c_1398,c_362]) ).
tff(c_1416,plain,
h(e14) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_154,c_1406]) ).
tff(c_1418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1061,c_1416]) ).
tff(c_1419,plain,
h(e11) = e22,
inference(splitRight,[status(thm)],[c_1396]) ).
tff(c_1427,plain,
op2(e22,e22) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_1419,c_1419,c_362]) ).
tff(c_1437,plain,
h(e14) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_1427]) ).
tff(c_1439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1061,c_1437]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG075+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n021.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 20:23:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 7.01/2.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.22/2.64
% 7.22/2.64 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.28/2.67
% 7.28/2.67 Inference rules
% 7.28/2.67 ----------------------
% 7.28/2.67 #Ref : 0
% 7.28/2.67 #Sup : 378
% 7.28/2.67 #Fact : 0
% 7.28/2.67 #Define : 0
% 7.28/2.67 #Split : 19
% 7.28/2.67 #Chain : 0
% 7.28/2.67 #Close : 0
% 7.28/2.67
% 7.28/2.67 Ordering : KBO
% 7.28/2.67
% 7.28/2.67 Simplification rules
% 7.28/2.67 ----------------------
% 7.28/2.67 #Subsume : 5
% 7.28/2.67 #Demod : 321
% 7.28/2.67 #Tautology : 398
% 7.28/2.67 #SimpNegUnit : 21
% 7.28/2.67 #BackRed : 128
% 7.28/2.67
% 7.28/2.67 #Partial instantiations: 0
% 7.28/2.67 #Strategies tried : 1
% 7.28/2.67
% 7.28/2.67 Timing (in seconds)
% 7.28/2.67 ----------------------
% 7.28/2.67 Preprocessing : 0.65
% 7.28/2.67 Parsing : 0.33
% 7.28/2.67 CNF conversion : 0.03
% 7.28/2.67 Main loop : 0.93
% 7.28/2.67 Inferencing : 0.22
% 7.28/2.67 Reduction : 0.38
% 7.28/2.67 Demodulation : 0.26
% 7.28/2.68 BG Simplification : 0.04
% 7.28/2.68 Subsumption : 0.19
% 7.28/2.68 Abstraction : 0.02
% 7.28/2.68 MUC search : 0.00
% 7.28/2.68 Cooper : 0.00
% 7.28/2.68 Total : 1.64
% 7.28/2.68 Index Insertion : 0.00
% 7.28/2.68 Index Deletion : 0.00
% 7.28/2.68 Index Matching : 0.00
% 7.28/2.68 BG Taut test : 0.00
%------------------------------------------------------------------------------