TSTP Solution File: SEU229+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU229+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n008.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 10:58:05 EDT 2023
% Result : Theorem 22.67s 11.72s
% Output : CNFRefutation 22.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 28
% Syntax : Number of formulae : 51 ( 8 unt; 25 typ; 0 def)
% Number of atoms : 74 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 45 ~; 39 |; 7 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 12 >; 11 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-4 aty)
% Number of variables : 71 (; 71 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > element > relation_empty_yielding > relation > one_to_one > function > empty > unordered_triple > #nlpp > empty_set > #skF_11 > #skF_15 > #skF_7 > #skF_10 > #skF_14 > #skF_5 > #skF_2 > #skF_6 > #skF_13 > #skF_9 > #skF_8 > #skF_4 > #skF_3 > #skF_1 > #skF_16 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(relation,type,
relation: $i > $o ).
tff(unordered_triple,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff(function,type,
function: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_137,negated_conjecture,
~ ! [A,B,C] :
~ ( in(A,B)
& in(B,C)
& in(C,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_ordinal1) ).
tff(f_66,axiom,
! [A,B,C,D] :
( ( D = unordered_triple(A,B,C) )
<=> ! [E] :
( in(E,D)
<=> ~ ( ( E != A )
& ( E != B )
& ( E != C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_enumset1) ).
tff(f_159,axiom,
! [A,B] :
~ ( in(A,B)
& ! [C] :
~ ( in(C,B)
& ! [D] :
~ ( in(D,B)
& in(D,C) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).
tff(c_100,plain,
in('#skF_15','#skF_13'),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_102,plain,
in('#skF_14','#skF_15'),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_104,plain,
in('#skF_13','#skF_14'),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_16,plain,
! [E_12,A_6,B_7] : in(E_12,unordered_triple(A_6,B_7,E_12)),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_18,plain,
! [E_12,A_6,C_8] : in(E_12,unordered_triple(A_6,E_12,C_8)),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_20,plain,
! [E_12,B_7,C_8] : in(E_12,unordered_triple(E_12,B_7,C_8)),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_112,plain,
! [A_22,B_23] :
( in('#skF_16'(A_22,B_23),B_23)
| ~ in(A_22,B_23) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_364,plain,
! [E_83,C_84,B_85,A_86] :
( ( E_83 = C_84 )
| ( E_83 = B_85 )
| ( E_83 = A_86 )
| ~ in(E_83,unordered_triple(A_86,B_85,C_84)) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_1904,plain,
! [A_220,A_221,B_222,C_223] :
( ( '#skF_16'(A_220,unordered_triple(A_221,B_222,C_223)) = C_223 )
| ( '#skF_16'(A_220,unordered_triple(A_221,B_222,C_223)) = B_222 )
| ( '#skF_16'(A_220,unordered_triple(A_221,B_222,C_223)) = A_221 )
| ~ in(A_220,unordered_triple(A_221,B_222,C_223)) ),
inference(resolution,[status(thm)],[c_112,c_364]) ).
tff(c_6013,plain,
! [E_327,A_328,B_329] :
( ( '#skF_16'(E_327,unordered_triple(A_328,B_329,E_327)) = E_327 )
| ( '#skF_16'(E_327,unordered_triple(A_328,B_329,E_327)) = B_329 )
| ( '#skF_16'(E_327,unordered_triple(A_328,B_329,E_327)) = A_328 ) ),
inference(resolution,[status(thm)],[c_16,c_1904]) ).
tff(c_110,plain,
! [D_28,A_22,B_23] :
( ~ in(D_28,'#skF_16'(A_22,B_23))
| ~ in(D_28,B_23)
| ~ in(A_22,B_23) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_6096,plain,
! [D_28,E_327,A_328,B_329] :
( ~ in(D_28,E_327)
| ~ in(D_28,unordered_triple(A_328,B_329,E_327))
| ~ in(E_327,unordered_triple(A_328,B_329,E_327))
| ( '#skF_16'(E_327,unordered_triple(A_328,B_329,E_327)) = B_329 )
| ( '#skF_16'(E_327,unordered_triple(A_328,B_329,E_327)) = A_328 ) ),
inference(superposition,[status(thm),theory(equality)],[c_6013,c_110]) ).
tff(c_46275,plain,
! [D_940,E_941,A_942,B_943] :
( ~ in(D_940,E_941)
| ~ in(D_940,unordered_triple(A_942,B_943,E_941))
| ( '#skF_16'(E_941,unordered_triple(A_942,B_943,E_941)) = B_943 )
| ( '#skF_16'(E_941,unordered_triple(A_942,B_943,E_941)) = A_942 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_6096]) ).
tff(c_47358,plain,
! [E_947,C_948,B_949] :
( ~ in(E_947,C_948)
| ( '#skF_16'(C_948,unordered_triple(E_947,B_949,C_948)) = B_949 )
| ( '#skF_16'(C_948,unordered_triple(E_947,B_949,C_948)) = E_947 ) ),
inference(resolution,[status(thm)],[c_20,c_46275]) ).
tff(c_47923,plain,
! [D_28,E_947,B_949,C_948] :
( ~ in(D_28,E_947)
| ~ in(D_28,unordered_triple(E_947,B_949,C_948))
| ~ in(C_948,unordered_triple(E_947,B_949,C_948))
| ~ in(E_947,C_948)
| ( '#skF_16'(C_948,unordered_triple(E_947,B_949,C_948)) = B_949 ) ),
inference(superposition,[status(thm),theory(equality)],[c_47358,c_110]) ).
tff(c_59877,plain,
! [D_973,E_974,B_975,C_976] :
( ~ in(D_973,E_974)
| ~ in(D_973,unordered_triple(E_974,B_975,C_976))
| ~ in(E_974,C_976)
| ( '#skF_16'(C_976,unordered_triple(E_974,B_975,C_976)) = B_975 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_47923]) ).
tff(c_59923,plain,
! [E_977,A_978,C_979] :
( ~ in(E_977,A_978)
| ~ in(A_978,C_979)
| ( '#skF_16'(C_979,unordered_triple(A_978,E_977,C_979)) = E_977 ) ),
inference(resolution,[status(thm)],[c_18,c_59877]) ).
tff(c_60323,plain,
! [D_28,E_977,A_978,C_979] :
( ~ in(D_28,E_977)
| ~ in(D_28,unordered_triple(A_978,E_977,C_979))
| ~ in(C_979,unordered_triple(A_978,E_977,C_979))
| ~ in(E_977,A_978)
| ~ in(A_978,C_979) ),
inference(superposition,[status(thm),theory(equality)],[c_59923,c_110]) ).
tff(c_60610,plain,
! [D_980,E_981,A_982,C_983] :
( ~ in(D_980,E_981)
| ~ in(D_980,unordered_triple(A_982,E_981,C_983))
| ~ in(E_981,A_982)
| ~ in(A_982,C_983) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_60323]) ).
tff(c_60669,plain,
! [E_984,B_985,A_986] :
( ~ in(E_984,B_985)
| ~ in(B_985,A_986)
| ~ in(A_986,E_984) ),
inference(resolution,[status(thm)],[c_16,c_60610]) ).
tff(c_60718,plain,
! [A_987] :
( ~ in('#skF_14',A_987)
| ~ in(A_987,'#skF_13') ),
inference(resolution,[status(thm)],[c_104,c_60669]) ).
tff(c_60732,plain,
~ in('#skF_15','#skF_13'),
inference(resolution,[status(thm)],[c_102,c_60718]) ).
tff(c_60740,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100,c_60732]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU229+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 12:03:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 22.67/11.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.67/11.73
% 22.67/11.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.77/11.76
% 22.77/11.76 Inference rules
% 22.77/11.76 ----------------------
% 22.77/11.76 #Ref : 0
% 22.77/11.76 #Sup : 14366
% 22.77/11.76 #Fact : 116
% 22.77/11.76 #Define : 0
% 22.77/11.76 #Split : 2
% 22.77/11.76 #Chain : 0
% 22.77/11.76 #Close : 0
% 22.77/11.76
% 22.77/11.76 Ordering : KBO
% 22.77/11.76
% 22.77/11.76 Simplification rules
% 22.77/11.76 ----------------------
% 22.77/11.76 #Subsume : 5810
% 22.77/11.76 #Demod : 5299
% 22.77/11.76 #Tautology : 1341
% 22.77/11.76 #SimpNegUnit : 1183
% 22.77/11.76 #BackRed : 9
% 22.77/11.76
% 22.77/11.76 #Partial instantiations: 0
% 22.77/11.76 #Strategies tried : 1
% 22.77/11.76
% 22.77/11.76 Timing (in seconds)
% 22.77/11.76 ----------------------
% 22.77/11.76 Preprocessing : 0.59
% 22.77/11.76 Parsing : 0.31
% 22.77/11.76 CNF conversion : 0.05
% 22.77/11.76 Main loop : 10.13
% 22.77/11.76 Inferencing : 2.04
% 22.77/11.76 Reduction : 2.27
% 22.77/11.76 Demodulation : 1.54
% 22.77/11.76 BG Simplification : 0.23
% 22.77/11.76 Subsumption : 5.21
% 22.77/11.76 Abstraction : 0.39
% 22.77/11.76 MUC search : 0.00
% 22.77/11.76 Cooper : 0.00
% 22.77/11.76 Total : 10.76
% 22.77/11.76 Index Insertion : 0.00
% 22.77/11.76 Index Deletion : 0.00
% 22.77/11.76 Index Matching : 0.00
% 22.77/11.76 BG Taut test : 0.00
%------------------------------------------------------------------------------