TSTP Solution File: NUM002-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM002-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n014.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 10:50:49 EDT 2023
% Result : Unsatisfiable 27.98s 16.10s
% Output : CNFRefutation 27.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 48 ( 21 unt; 6 typ; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 71 ( 38 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 106 (; 106 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equalish > subtract > add > #nlpp > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(subtract,type,
subtract: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_68,axiom,
! [A,B,C] : equalish(add(subtract(A,B),C),subtract(add(A,C),B)),
file(unknown,unknown) ).
tff(f_64,axiom,
! [A,B] : equalish(subtract(add(A,B),B),A),
file(unknown,unknown) ).
tff(f_58,axiom,
! [A,B,C] :
( ~ equalish(A,B)
| ~ equalish(B,C)
| equalish(A,C) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [A,B] : equalish(add(A,B),add(B,A)),
file(unknown,unknown) ).
tff(f_66,axiom,
! [A,B] : equalish(A,subtract(add(A,B),B)),
file(unknown,unknown) ).
tff(f_94,axiom,
! [A,B,C,D] :
( ~ equalish(A,B)
| ~ equalish(C,subtract(A,D))
| equalish(C,subtract(B,D)) ),
file(unknown,unknown) ).
tff(f_102,axiom,
! [A,B,C,D] :
( ~ equalish(A,B)
| ~ equalish(C,subtract(D,A))
| equalish(C,subtract(D,B)) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [A] : equalish(A,A),
file(unknown,unknown) ).
tff(f_86,axiom,
! [A,B,C,D] :
( ~ equalish(A,B)
| ~ equalish(C,add(D,A))
| equalish(C,add(D,B)) ),
file(unknown,unknown) ).
tff(f_78,axiom,
! [A,B,C,D] :
( ~ equalish(A,B)
| ~ equalish(C,add(A,D))
| equalish(C,add(B,D)) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [A,B,C] : equalish(add(A,add(B,C)),add(add(A,B),C)),
file(unknown,unknown) ).
tff(f_106,axiom,
~ equalish(add(subtract(a,b),c),add(a,subtract(c,b))),
file(unknown,unknown) ).
tff(c_97,plain,
! [A_61,B_62,C_63] : equalish(add(subtract(A_61,B_62),C_63),subtract(add(A_61,C_63),B_62)),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_10,plain,
! [A_10,B_11] : equalish(subtract(add(A_10,B_11),B_11),A_10),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_31,plain,
! [A_43,C_44,B_45] :
( equalish(A_43,C_44)
| ~ equalish(B_45,C_44)
| ~ equalish(A_43,B_45) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_42,plain,
! [A_43,A_10,B_11] :
( equalish(A_43,A_10)
| ~ equalish(A_43,subtract(add(A_10,B_11),B_11)) ),
inference(resolution,[status(thm)],[c_10,c_31]) ).
tff(c_104,plain,
! [A_61,B_62] : equalish(add(subtract(A_61,B_62),B_62),A_61),
inference(resolution,[status(thm)],[c_97,c_42]) ).
tff(c_6,plain,
! [A_5,B_6] : equalish(add(A_5,B_6),add(B_6,A_5)),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12,plain,
! [A_12,B_13] : equalish(A_12,subtract(add(A_12,B_13),B_13)),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_359,plain,
! [C_103,B_104,D_105,A_106] :
( equalish(C_103,subtract(B_104,D_105))
| ~ equalish(C_103,subtract(A_106,D_105))
| ~ equalish(A_106,B_104) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_399,plain,
! [A_107,B_108,B_109] :
( equalish(A_107,subtract(B_108,B_109))
| ~ equalish(add(A_107,B_109),B_108) ),
inference(resolution,[status(thm)],[c_12,c_359]) ).
tff(c_462,plain,
! [A_110,B_111] : equalish(A_110,subtract(add(B_111,A_110),B_111)),
inference(resolution,[status(thm)],[c_6,c_399]) ).
tff(c_24,plain,
! [C_34,D_35,B_33,A_32] :
( equalish(C_34,subtract(D_35,B_33))
| ~ equalish(C_34,subtract(D_35,A_32))
| ~ equalish(A_32,B_33) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_655,plain,
! [A_134,B_135,B_136] :
( equalish(A_134,subtract(add(B_135,A_134),B_136))
| ~ equalish(B_135,B_136) ),
inference(resolution,[status(thm)],[c_462,c_24]) ).
tff(c_675,plain,
! [B_137,B_138] :
( equalish(B_137,B_138)
| ~ equalish(B_138,B_137) ),
inference(resolution,[status(thm)],[c_655,c_42]) ).
tff(c_745,plain,
! [A_61,B_62] : equalish(A_61,add(subtract(A_61,B_62),B_62)),
inference(resolution,[status(thm)],[c_104,c_675]) ).
tff(c_2,plain,
! [A_1] : equalish(A_1,A_1),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_165,plain,
! [C_71,D_72,B_73,A_74] :
( equalish(C_71,add(D_72,B_73))
| ~ equalish(C_71,add(D_72,A_74))
| ~ equalish(A_74,B_73) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_190,plain,
! [D_72,A_74,B_73] :
( equalish(add(D_72,A_74),add(D_72,B_73))
| ~ equalish(A_74,B_73) ),
inference(resolution,[status(thm)],[c_2,c_165]) ).
tff(c_498,plain,
! [C_114,B_115,D_116,A_117] :
( equalish(C_114,add(B_115,D_116))
| ~ equalish(C_114,add(A_117,D_116))
| ~ equalish(A_117,B_115) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_535,plain,
! [D_72,A_74,B_115,B_73] :
( equalish(add(D_72,A_74),add(B_115,B_73))
| ~ equalish(D_72,B_115)
| ~ equalish(A_74,B_73) ),
inference(resolution,[status(thm)],[c_190,c_498]) ).
tff(c_90,plain,
! [A_58,B_59,C_60] : equalish(add(A_58,add(B_59,C_60)),add(add(A_58,B_59),C_60)),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_4,plain,
! [A_2,C_4,B_3] :
( equalish(A_2,C_4)
| ~ equalish(B_3,C_4)
| ~ equalish(A_2,B_3) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_96,plain,
! [A_2,A_58,B_59,C_60] :
( equalish(A_2,add(add(A_58,B_59),C_60))
| ~ equalish(A_2,add(A_58,add(B_59,C_60))) ),
inference(resolution,[status(thm)],[c_90,c_4]) ).
tff(c_14,plain,
! [A_14,B_15,C_16] : equalish(add(subtract(A_14,B_15),C_16),subtract(add(A_14,C_16),B_15)),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_1537,plain,
! [A_181,B_182,C_183,B_184] :
( equalish(add(subtract(A_181,B_182),C_183),subtract(B_184,B_182))
| ~ equalish(add(A_181,C_183),B_184) ),
inference(resolution,[status(thm)],[c_14,c_359]) ).
tff(c_40943,plain,
! [A_867,B_868,C_869,A_870] :
( equalish(add(subtract(A_867,B_868),C_869),A_870)
| ~ equalish(add(A_867,C_869),add(A_870,B_868)) ),
inference(resolution,[status(thm)],[c_1537,c_42]) ).
tff(c_26,plain,
~ equalish(add(subtract(a,b),c),add(a,subtract(c,b))),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_41322,plain,
~ equalish(add(a,c),add(add(a,subtract(c,b)),b)),
inference(resolution,[status(thm)],[c_40943,c_26]) ).
tff(c_41552,plain,
~ equalish(add(a,c),add(a,add(subtract(c,b),b))),
inference(resolution,[status(thm)],[c_96,c_41322]) ).
tff(c_92387,plain,
( ~ equalish(a,a)
| ~ equalish(c,add(subtract(c,b),b)) ),
inference(resolution,[status(thm)],[c_535,c_41552]) ).
tff(c_92406,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_745,c_2,c_92387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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 : n014.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 14:46:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 27.98/16.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.98/16.11
% 27.98/16.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 27.98/16.14
% 27.98/16.14 Inference rules
% 27.98/16.14 ----------------------
% 27.98/16.14 #Ref : 0
% 27.98/16.14 #Sup : 22462
% 27.98/16.14 #Fact : 0
% 27.98/16.14 #Define : 0
% 27.98/16.14 #Split : 5
% 27.98/16.14 #Chain : 0
% 27.98/16.14 #Close : 0
% 27.98/16.14
% 27.98/16.14 Ordering : KBO
% 27.98/16.14
% 27.98/16.14 Simplification rules
% 27.98/16.14 ----------------------
% 27.98/16.14 #Subsume : 3519
% 27.98/16.14 #Demod : 2087
% 27.98/16.14 #Tautology : 1982
% 27.98/16.14 #SimpNegUnit : 0
% 27.98/16.14 #BackRed : 0
% 27.98/16.14
% 27.98/16.14 #Partial instantiations: 0
% 27.98/16.14 #Strategies tried : 1
% 27.98/16.14
% 27.98/16.14 Timing (in seconds)
% 27.98/16.14 ----------------------
% 27.98/16.15 Preprocessing : 0.43
% 27.98/16.15 Parsing : 0.23
% 27.98/16.15 CNF conversion : 0.02
% 27.98/16.15 Main loop : 14.70
% 27.98/16.15 Inferencing : 1.55
% 27.98/16.15 Reduction : 2.73
% 27.98/16.15 Demodulation : 2.15
% 27.98/16.15 BG Simplification : 0.11
% 27.98/16.15 Subsumption : 9.11
% 27.98/16.15 Abstraction : 0.15
% 27.98/16.15 MUC search : 0.00
% 27.98/16.15 Cooper : 0.00
% 27.98/16.15 Total : 15.18
% 27.98/16.15 Index Insertion : 0.00
% 27.98/16.15 Index Deletion : 0.00
% 27.98/16.15 Index Matching : 0.00
% 27.98/16.15 BG Taut test : 0.00
%------------------------------------------------------------------------------