TSTP Solution File: ALG194+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG194+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/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 : n011.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 10:32:19 EDT 2023
% Result : Theorem 12.47s 4.18s
% Output : CNFRefutation 12.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 42 unt; 8 typ; 0 def)
% Number of atoms : 116 ( 106 equ)
% Maximal formula atoms : 28 ( 1 avg)
% Number of connectives : 107 ( 52 ~; 42 |; 13 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op > #nlpp > e6 > e5 > e4 > e3 > e2 > e1 > e0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e1,type,
e1: $i ).
tff(e0,type,
e0: $i ).
tff(e2,type,
e2: $i ).
tff(op,type,
op: ( $i * $i ) > $i ).
tff(e4,type,
e4: $i ).
tff(e6,type,
e6: $i ).
tff(e3,type,
e3: $i ).
tff(e5,type,
e5: $i ).
tff(f_3191,negated_conjecture,
~ ( ( ( op(e0,e0) != e0 )
& ( op(e1,e1) != e1 )
& ( op(e2,e2) != e2 )
& ( op(e3,e3) != e3 )
& ( op(e4,e4) != e4 )
& ( op(e5,e5) != e5 )
& ( op(e6,e6) != e6 ) )
| ( ( op(e0,e0) = e0 )
& ( op(e1,e1) = e1 )
& ( op(e2,e2) = e2 )
& ( op(e3,e3) = e3 )
& ( op(e4,e4) = e4 )
& ( op(e5,e5) = e5 )
& ( op(e6,e6) = e6 ) )
| ( ( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e4) = e4 )
| ( op(e5,e5) = e5 )
| ( op(e6,e6) = e6 ) )
& ( ( op(e0,e0) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e2,e2) != e2 )
| ( op(e3,e3) != e3 )
| ( op(e4,e4) != e4 )
| ( op(e5,e5) != e5 )
| ( op(e6,e6) != e6 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(c_1082,plain,
( ( op(e0,e0) != e0 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1542,plain,
op(e0,e0) != e0,
inference(splitLeft,[status(thm)],[c_1082]) ).
tff(c_1084,plain,
( ( op(e6,e6) != e6 )
| ( op(e2,e2) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1126,plain,
op(e6,e6) != e6,
inference(splitLeft,[status(thm)],[c_1084]) ).
tff(c_1040,plain,
( ( op(e0,e0) != e0 )
| ( op(e6,e6) = e6 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1127,plain,
op(e0,e0) != e0,
inference(negUnitSimplification,[status(thm)],[c_1126,c_1040]) ).
tff(c_1048,plain,
( ( op(e3,e3) != e3 )
| ( op(e5,e5) = e5 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1413,plain,
op(e3,e3) != e3,
inference(splitLeft,[status(thm)],[c_1048]) ).
tff(c_1094,plain,
( ( op(e1,e1) != e1 )
| ( op(e2,e2) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1128,plain,
op(e1,e1) != e1,
inference(splitLeft,[status(thm)],[c_1094]) ).
tff(c_1102,plain,
( ( op(e4,e4) != e4 )
| ( op(e1,e1) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1395,plain,
op(e4,e4) != e4,
inference(negUnitSimplification,[status(thm)],[c_1128,c_1102]) ).
tff(c_1106,plain,
( ( op(e2,e2) != e2 )
| ( op(e1,e1) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1132,plain,
op(e2,e2) != e2,
inference(negUnitSimplification,[status(thm)],[c_1128,c_1106]) ).
tff(c_1129,plain,
op(e3,e3) != e3,
inference(splitLeft,[status(thm)],[c_1048]) ).
tff(c_1032,plain,
( ( op(e4,e4) != e4 )
| ( op(e6,e6) = e6 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1130,plain,
op(e4,e4) != e4,
inference(negUnitSimplification,[status(thm)],[c_1126,c_1032]) ).
tff(c_1072,plain,
( ( op(e5,e5) != e5 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1138,plain,
op(e5,e5) != e5,
inference(negUnitSimplification,[status(thm)],[c_1129,c_1072]) ).
tff(c_1026,plain,
( ( op(e6,e6) = e6 )
| ( op(e5,e5) = e5 )
| ( op(e4,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1127,c_1128,c_1132,c_1129,c_1130,c_1138,c_1126,c_1026]) ).
tff(c_1383,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_1048]) ).
tff(c_1062,plain,
( ( op(e3,e3) != e3 )
| ( op(e4,e4) = e4 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1397,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1383,c_1062]) ).
tff(c_1398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1395,c_1397]) ).
tff(c_1399,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_1094]) ).
tff(c_1078,plain,
( ( op(e2,e2) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1423,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_1399,c_1078]) ).
tff(c_1424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1413,c_1423]) ).
tff(c_1426,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_1048]) ).
tff(c_1118,plain,
( ( op(e3,e3) != e3 )
| ( op(e0,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1443,plain,
op(e0,e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1426,c_1118]) ).
tff(c_1444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1127,c_1443]) ).
tff(c_1446,plain,
op(e6,e6) = e6,
inference(splitRight,[status(thm)],[c_1084]) ).
tff(c_1042,plain,
( ( op(e6,e6) != e6 )
| ( op(e5,e5) = e5 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1125,plain,
op(e6,e6) != e6,
inference(splitLeft,[status(thm)],[c_1042]) ).
tff(c_1456,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1446,c_1125]) ).
tff(c_1457,plain,
op(e5,e5) = e5,
inference(splitRight,[status(thm)],[c_1042]) ).
tff(c_1558,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_1457,c_1072]) ).
tff(c_1571,plain,
op(e0,e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1558,c_1118]) ).
tff(c_1572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1542,c_1571]) ).
tff(c_1574,plain,
op(e0,e0) = e0,
inference(splitRight,[status(thm)],[c_1082]) ).
tff(c_1038,plain,
( ( op(e1,e1) != e1 )
| ( op(e6,e6) = e6 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1459,plain,
op(e1,e1) != e1,
inference(splitLeft,[status(thm)],[c_1038]) ).
tff(c_1086,plain,
( ( op(e5,e5) != e5 )
| ( op(e2,e2) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1460,plain,
op(e5,e5) != e5,
inference(splitLeft,[status(thm)],[c_1086]) ).
tff(c_1470,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1457,c_1460]) ).
tff(c_1471,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_1086]) ).
tff(c_1492,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_1471,c_1106]) ).
tff(c_1493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1459,c_1492]) ).
tff(c_1495,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_1038]) ).
tff(c_1496,plain,
op(e5,e5) != e5,
inference(splitLeft,[status(thm)],[c_1086]) ).
tff(c_1511,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1457,c_1496]) ).
tff(c_1512,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_1086]) ).
tff(c_1573,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_1082]) ).
tff(c_1066,plain,
( ( op(e1,e1) != e1 )
| ( op(e4,e4) = e4 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1613,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1495,c_1066]) ).
tff(c_1458,plain,
op(e6,e6) = e6,
inference(splitRight,[status(thm)],[c_1042]) ).
tff(c_1024,plain,
( ( op(e6,e6) != e6 )
| ( op(e5,e5) != e5 )
| ( op(e4,e4) != e4 )
| ( op(e3,e3) != e3 )
| ( op(e2,e2) != e2 )
| ( op(e1,e1) != e1 )
| ( op(e0,e0) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_3191]) ).
tff(c_1869,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1574,c_1495,c_1512,c_1573,c_1613,c_1457,c_1458,c_1024]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ALG194+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n011.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 20:16:21 EDT 2023
% 0.14/0.36 % CPUTime :
% 12.47/4.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.47/4.19
% 12.47/4.19 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.47/4.22
% 12.47/4.22 Inference rules
% 12.47/4.22 ----------------------
% 12.47/4.22 #Ref : 0
% 12.47/4.22 #Sup : 212
% 12.47/4.22 #Fact : 0
% 12.47/4.22 #Define : 0
% 12.47/4.22 #Split : 11
% 12.47/4.22 #Chain : 0
% 12.47/4.22 #Close : 0
% 12.47/4.22
% 12.47/4.22 Ordering : KBO
% 12.47/4.22
% 12.47/4.22 Simplification rules
% 12.47/4.22 ----------------------
% 12.47/4.22 #Subsume : 41
% 12.47/4.22 #Demod : 253
% 12.47/4.22 #Tautology : 273
% 12.47/4.22 #SimpNegUnit : 46
% 12.47/4.22 #BackRed : 29
% 12.47/4.22
% 12.47/4.22 #Partial instantiations: 0
% 12.47/4.22 #Strategies tried : 1
% 12.47/4.22
% 12.47/4.22 Timing (in seconds)
% 12.47/4.22 ----------------------
% 12.47/4.22 Preprocessing : 1.11
% 12.47/4.22 Parsing : 0.60
% 12.47/4.22 CNF conversion : 0.06
% 12.47/4.22 Main loop : 2.02
% 12.47/4.22 Inferencing : 0.30
% 12.47/4.22 Reduction : 0.81
% 12.47/4.22 Demodulation : 0.43
% 12.47/4.22 BG Simplification : 0.09
% 12.47/4.22 Subsumption : 0.65
% 12.47/4.22 Abstraction : 0.03
% 12.47/4.22 MUC search : 0.00
% 12.47/4.22 Cooper : 0.00
% 12.47/4.22 Total : 3.18
% 12.47/4.22 Index Insertion : 0.00
% 12.47/4.22 Index Deletion : 0.00
% 12.47/4.22 Index Matching : 0.00
% 12.47/4.22 BG Taut test : 0.00
%------------------------------------------------------------------------------