TSTP Solution File: NUM004-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM004-1 : 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 : n001.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 10:50:50 EDT 2023
% Result : Unsatisfiable 29.38s 18.02s
% Output : CNFRefutation 29.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 39 ( 16 unt; 6 typ; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 32 ~; 27 |; 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 : 81 (; 81 !; 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_63,axiom,
! [A,B] : equalish(A,subtract(add(A,B),B)),
file(unknown,unknown) ).
tff(f_67,axiom,
! [A,B,C] : equalish(subtract(add(A,B),C),add(subtract(A,C),B)),
file(unknown,unknown) ).
tff(f_55,axiom,
! [A,B,C] :
( ~ equalish(A,B)
| ~ equalish(B,C)
| equalish(A,C) ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [A] : equalish(A,A),
file(unknown,unknown) ).
tff(f_83,axiom,
! [A,B,C,D] :
( ~ equalish(A,B)
| ~ equalish(C,add(D,A))
| equalish(C,add(D,B)) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [A,B,C,D] :
( ~ equalish(A,B)
| ~ equalish(C,add(A,D))
| equalish(C,add(B,D)) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [A,B,C] : equalish(add(A,add(B,C)),add(add(A,B),C)),
file(unknown,unknown) ).
tff(f_91,axiom,
! [A,B,C,D] :
( ~ equalish(A,B)
| ~ equalish(C,subtract(A,D))
| equalish(C,subtract(B,D)) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [A,B] : equalish(subtract(add(A,B),B),A),
file(unknown,unknown) ).
tff(f_103,axiom,
~ equalish(subtract(add(a,b),c),add(a,subtract(b,c))),
file(unknown,unknown) ).
tff(c_12,plain,
! [A_12,B_13] : equalish(A_12,subtract(add(A_12,B_13),B_13)),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_44,plain,
! [A_46,B_47,C_48] : equalish(subtract(add(A_46,B_47),C_48),add(subtract(A_46,C_48),B_47)),
inference(cnfTransformation,[status(thm)],[f_67]) ).
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_55]) ).
tff(c_655,plain,
! [A_133,A_134,C_135,B_136] :
( equalish(A_133,add(subtract(A_134,C_135),B_136))
| ~ equalish(A_133,subtract(add(A_134,B_136),C_135)) ),
inference(resolution,[status(thm)],[c_44,c_4]) ).
tff(c_736,plain,
! [A_12,B_13] : equalish(A_12,add(subtract(A_12,B_13),B_13)),
inference(resolution,[status(thm)],[c_12,c_655]) ).
tff(c_2,plain,
! [A_1] : equalish(A_1,A_1),
inference(cnfTransformation,[status(thm)],[f_47]) ).
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_83]) ).
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_494,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_75]) ).
tff(c_531,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_494]) ).
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_59]) ).
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_355,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_91]) ).
tff(c_540,plain,
! [A_118,D_119,B_120] :
( equalish(subtract(A_118,D_119),subtract(B_120,D_119))
| ~ equalish(A_118,B_120) ),
inference(resolution,[status(thm)],[c_2,c_355]) ).
tff(c_10,plain,
! [A_10,B_11] : equalish(subtract(add(A_10,B_11),B_11),A_10),
inference(cnfTransformation,[status(thm)],[f_61]) ).
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_55]) ).
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_597,plain,
! [A_127,D_128,A_129] :
( equalish(subtract(A_127,D_128),A_129)
| ~ equalish(A_127,add(A_129,D_128)) ),
inference(resolution,[status(thm)],[c_540,c_42]) ).
tff(c_26,plain,
~ equalish(subtract(add(a,b),c),add(a,subtract(b,c))),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_631,plain,
~ equalish(add(a,b),add(add(a,subtract(b,c)),c)),
inference(resolution,[status(thm)],[c_597,c_26]) ).
tff(c_16890,plain,
~ equalish(add(a,b),add(a,add(subtract(b,c),c))),
inference(resolution,[status(thm)],[c_96,c_631]) ).
tff(c_103673,plain,
( ~ equalish(a,a)
| ~ equalish(b,add(subtract(b,c),c)) ),
inference(resolution,[status(thm)],[c_531,c_16890]) ).
tff(c_103692,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_736,c_2,c_103673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM004-1 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.19/0.35 % Computer : n001.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Thu Aug 3 15:13:10 EDT 2023
% 0.19/0.36 % CPUTime :
% 29.38/18.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.38/18.03
% 29.38/18.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 29.38/18.06
% 29.38/18.06 Inference rules
% 29.38/18.06 ----------------------
% 29.38/18.06 #Ref : 0
% 29.38/18.06 #Sup : 25462
% 29.38/18.06 #Fact : 0
% 29.38/18.06 #Define : 0
% 29.38/18.06 #Split : 4
% 29.38/18.06 #Chain : 0
% 29.38/18.06 #Close : 0
% 29.38/18.06
% 29.38/18.06 Ordering : KBO
% 29.38/18.06
% 29.38/18.06 Simplification rules
% 29.38/18.06 ----------------------
% 29.38/18.06 #Subsume : 3536
% 29.38/18.06 #Demod : 2312
% 29.38/18.06 #Tautology : 2204
% 29.38/18.06 #SimpNegUnit : 0
% 29.38/18.06 #BackRed : 0
% 29.38/18.06
% 29.38/18.06 #Partial instantiations: 0
% 29.38/18.06 #Strategies tried : 1
% 29.38/18.06
% 29.38/18.06 Timing (in seconds)
% 29.38/18.06 ----------------------
% 29.38/18.07 Preprocessing : 0.44
% 29.38/18.07 Parsing : 0.24
% 29.38/18.07 CNF conversion : 0.02
% 29.38/18.07 Main loop : 16.54
% 29.38/18.07 Inferencing : 1.67
% 29.38/18.07 Reduction : 3.11
% 29.38/18.07 Demodulation : 2.52
% 29.38/18.07 BG Simplification : 0.12
% 29.38/18.07 Subsumption : 10.35
% 29.38/18.07 Abstraction : 0.16
% 29.38/18.07 MUC search : 0.00
% 29.38/18.07 Cooper : 0.00
% 29.38/18.07 Total : 17.03
% 29.38/18.07 Index Insertion : 0.00
% 29.38/18.07 Index Deletion : 0.00
% 29.38/18.07 Index Matching : 0.00
% 29.38/18.07 BG Taut test : 0.00
%------------------------------------------------------------------------------