%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM003-1 : TPTP v9.0.0. Released v1.0.0.
% 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 : n020.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 : Wed Apr 9 07:55:00 PM UTC 2025
% Result : Unsatisfiable 74.64s 60.59s
% Output : CNFRefutation 74.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 29 ~; 26 |; 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 : 0 ( 0 >; 0 *; 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 : 107 ( 107 !; 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_64,axiom,
! [A,B,C] : equalish(add(subtract(A,B),C),subtract(add(A,C),B)),
file(unknown,unknown) ).
tff(f_60,axiom,
! [A,B] : equalish(subtract(add(A,B),B),A),
file(unknown,unknown) ).
tff(f_54,axiom,
! [A,B,C] :
( ~ equalish(A,B)
| ~ equalish(B,C)
| equalish(A,C) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [A,B] : equalish(add(A,B),add(B,A)),
file(unknown,unknown) ).
tff(f_62,axiom,
! [A,B] : equalish(A,subtract(add(A,B),B)),
file(unknown,unknown) ).
tff(f_90,axiom,
! [A,B,C,D] :
( ~ equalish(A,B)
| ~ equalish(C,subtract(A,D))
| equalish(C,subtract(B,D)) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [A,B,C] : equalish(subtract(add(A,B),C),add(subtract(A,C),B)),
file(unknown,unknown) ).
tff(f_46,axiom,
! [A] : equalish(A,A),
file(unknown,unknown) ).
tff(f_82,axiom,
! [A,B,C,D] :
( ~ equalish(A,B)
| ~ equalish(C,add(D,A))
| equalish(C,add(D,B)) ),
file(unknown,unknown) ).
tff(f_102,axiom,
~ equalish(add(a,subtract(b,c)),add(subtract(a,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_64]) ).
tff(c_10,plain,
! [A_10,B_11] : equalish(subtract(add(A_10,B_11),B_11),A_10),
inference(cnfTransformation,[status(thm)],[f_60]) ).
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_54]) ).
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_106,plain,
! [A_64,B_65] : equalish(add(subtract(A_64,B_65),B_65),A_64),
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_56]) ).
tff(c_41,plain,
! [A_43,B_6,A_5] :
( equalish(A_43,add(B_6,A_5))
| ~ equalish(A_43,add(A_5,B_6)) ),
inference(resolution,[status(thm)],[c_6,c_31]) ).
tff(c_89837,plain,
! [A_1383,B_1384,B_1385] : equalish(add(subtract(add(A_1383,B_1384),B_1385),B_1385),add(B_1384,A_1383)),
inference(resolution,[status(thm)],[c_106,c_41]) ).
tff(c_12,plain,
! [A_12,B_13] : equalish(A_12,subtract(add(A_12,B_13),B_13)),
inference(cnfTransformation,[status(thm)],[f_62]) ).
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_90]) ).
tff(c_396,plain,
! [A_12,B_104,B_13] :
( equalish(A_12,subtract(B_104,B_13))
| ~ equalish(add(A_12,B_13),B_104) ),
inference(resolution,[status(thm)],[c_12,c_359]) ).
tff(c_90768,plain,
! [A_1392,B_1393,B_1394] : equalish(subtract(add(A_1392,B_1393),B_1394),subtract(add(B_1393,A_1392),B_1394)),
inference(resolution,[status(thm)],[c_89837,c_396]) ).
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_66]) ).
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_54]) ).
tff(c_47,plain,
! [A_2,A_46,C_48,B_47] :
( equalish(A_2,add(subtract(A_46,C_48),B_47))
| ~ equalish(A_2,subtract(add(A_46,B_47),C_48)) ),
inference(resolution,[status(thm)],[c_44,c_4]) ).
tff(c_91078,plain,
! [A_1392,B_1393,B_1394] : equalish(subtract(add(A_1392,B_1393),B_1394),add(subtract(B_1393,B_1394),A_1392)),
inference(resolution,[status(thm)],[c_90768,c_47]) ).
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_64]) ).
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_10026,plain,
! [A_464,B_465,C_466] : equalish(subtract(A_464,B_465),subtract(subtract(add(A_464,C_466),B_465),C_466)),
inference(resolution,[status(thm)],[c_14,c_399]) ).
tff(c_22,plain,
! [C_30,B_29,D_31,A_28] :
( equalish(C_30,subtract(B_29,D_31))
| ~ equalish(C_30,subtract(A_28,D_31))
| ~ equalish(A_28,B_29) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_230058,plain,
! [A_2404,B_2405,B_2406,C_2407] :
( equalish(subtract(A_2404,B_2405),subtract(B_2406,C_2407))
| ~ equalish(subtract(add(A_2404,C_2407),B_2405),B_2406) ),
inference(resolution,[status(thm)],[c_10026,c_22]) ).
tff(c_231567,plain,
! [A_1392,B_1394,B_1393] : equalish(subtract(A_1392,B_1394),subtract(add(subtract(B_1393,B_1394),A_1392),B_1393)),
inference(resolution,[status(thm)],[c_91078,c_230058]) ).
tff(c_2,plain,
! [A_1] : equalish(A_1,A_1),
inference(cnfTransformation,[status(thm)],[f_46]) ).
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_82]) ).
tff(c_206,plain,
! [D_78,A_79,B_80] :
( equalish(add(D_78,A_79),add(D_78,B_80))
| ~ equalish(A_79,B_80) ),
inference(resolution,[status(thm)],[c_2,c_165]) ).
tff(c_288,plain,
! [D_94,A_95,B_96] :
( equalish(add(D_94,A_95),add(B_96,D_94))
| ~ equalish(A_95,B_96) ),
inference(resolution,[status(thm)],[c_206,c_41]) ).
tff(c_118,plain,
! [A_2,A_64,B_65] :
( equalish(A_2,A_64)
| ~ equalish(A_2,add(subtract(A_64,B_65),B_65)) ),
inference(resolution,[status(thm)],[c_106,c_4]) ).
tff(c_1083,plain,
! [D_160,A_161,A_162] :
( equalish(add(D_160,A_161),A_162)
| ~ equalish(A_161,subtract(A_162,D_160)) ),
inference(resolution,[status(thm)],[c_288,c_118]) ).
tff(c_26,plain,
~ equalish(add(a,subtract(b,c)),add(subtract(a,c),b)),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_1128,plain,
~ equalish(subtract(b,c),subtract(add(subtract(a,c),b),a)),
inference(resolution,[status(thm)],[c_1083,c_26]) ).
tff(c_235221,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_231567,c_1128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM003-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % 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
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 8 09:54:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 74.64/60.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.64/60.59
% 74.64/60.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------