%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN566-1 : TPTP v9.0.0. Released v2.5.0.
% 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 : n023.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 10:03:56 PM UTC 2025
% Result : Unsatisfiable 7.41s 2.82s
% Output : CNFRefutation 7.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 43 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 53 ( 53 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p8 > p7 > p3 > p2 > p10 > #nlpp > f6 > f5 > f4 > c15 > c14 > c13 > c12 > c11
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c12,type,
c12: $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c14,type,
c14: $i ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(c15,type,
c15: $i ).
tff(f5,type,
f5: $i > $i ).
tff(f6,type,
f6: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c11,type,
c11: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(c13,type,
c13: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(f_29,axiom,
! [X16] : p7(X16,X16),
file(unknown,unknown) ).
tff(f_30,axiom,
p10(c15,c11),
file(unknown,unknown) ).
tff(f_31,axiom,
p8(c12,c13),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X4] : p2(X4,X4),
file(unknown,unknown) ).
tff(f_32,axiom,
p2(c14,f6(c15)),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X14,X15] :
( p3(f4(X14),f4(X15))
| ~ p2(X14,X15) ),
file(unknown,unknown) ).
tff(f_33,axiom,
p3(c13,f4(c14)),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X11] : p3(X11,X11),
file(unknown,unknown) ).
tff(f_72,axiom,
! [X12,X13,X11] :
( p3(X12,X13)
| ~ p3(X11,X12)
| ~ p3(X11,X13) ),
file(unknown,unknown) ).
tff(f_107,axiom,
! [X21,X22,X24,X23] :
( p8(X21,X22)
| ~ p7(X24,X21)
| ~ p8(X24,X23)
| ~ p3(X23,X22) ),
file(unknown,unknown) ).
tff(f_85,axiom,
! [X19,X20] :
( p8(X19,f4(f5(X20)))
| ~ p8(X19,f4(f6(X20))) ),
file(unknown,unknown) ).
tff(f_119,axiom,
! [X28,X30,X29] :
( ~ p10(X28,c11)
| ~ p8(c12,X30)
| ~ p3(X30,f4(X29))
| ~ p2(X29,f5(X28)) ),
file(unknown,unknown) ).
tff(c_8,plain,
! [X16_4] : p7(X16_4,X16_4),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_10,plain,
p10(c15,c11),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_12,plain,
p8(c12,c13),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_4,plain,
! [X4_2] : p2(X4_2,X4_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_14,plain,
p2(c14,f6(c15)),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_18,plain,
! [X14_5,X15_6] :
( ~ p2(X14_5,X15_6)
| p3(f4(X14_5),f4(X15_6)) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_16,plain,
p3(c13,f4(c14)),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_6,plain,
! [X11_3] : p3(X11_3,X11_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_82,plain,
! [X11_56,X13_57,X12_58] :
( ~ p3(X11_56,X13_57)
| ~ p3(X11_56,X12_58)
| p3(X12_58,X13_57) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_99,plain,
! [X11_59,X12_60] :
( ~ p3(X11_59,X12_60)
| p3(X12_60,X11_59) ),
inference(resolution,[status(thm)],[c_6,c_82]) ).
tff(c_107,plain,
p3(f4(c14),c13),
inference(resolution,[status(thm)],[c_16,c_99]) ).
tff(c_28,plain,
! [X11_19,X13_18,X12_17] :
( ~ p3(X11_19,X13_18)
| ~ p3(X11_19,X12_17)
| p3(X12_17,X13_18) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_155,plain,
! [X12_72] :
( ~ p3(f4(c14),X12_72)
| p3(X12_72,c13) ),
inference(resolution,[status(thm)],[c_107,c_28]) ).
tff(c_180,plain,
! [X15_6] :
( p3(f4(X15_6),c13)
| ~ p2(c14,X15_6) ),
inference(resolution,[status(thm)],[c_18,c_155]) ).
tff(c_729,plain,
! [X14_134,X12_135,X15_136] :
( ~ p3(f4(X14_134),X12_135)
| p3(X12_135,f4(X15_136))
| ~ p2(X14_134,X15_136) ),
inference(resolution,[status(thm)],[c_18,c_82]) ).
tff(c_962,plain,
! [X15_147,X15_148] :
( p3(c13,f4(X15_147))
| ~ p2(X15_148,X15_147)
| ~ p2(c14,X15_148) ),
inference(resolution,[status(thm)],[c_180,c_729]) ).
tff(c_992,plain,
( p3(c13,f4(f6(c15)))
| ~ p2(c14,c14) ),
inference(resolution,[status(thm)],[c_14,c_962]) ).
tff(c_1021,plain,
p3(c13,f4(f6(c15))),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_992]) ).
tff(c_36,plain,
! [X23_32,X22_30,X24_31,X21_29] :
( ~ p3(X23_32,X22_30)
| ~ p8(X24_31,X23_32)
| ~ p7(X24_31,X21_29)
| p8(X21_29,X22_30) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_6250,plain,
! [X24_317,X21_318] :
( ~ p8(X24_317,c13)
| ~ p7(X24_317,X21_318)
| p8(X21_318,f4(f6(c15))) ),
inference(resolution,[status(thm)],[c_1021,c_36]) ).
tff(c_6257,plain,
! [X21_319] :
( ~ p7(c12,X21_319)
| p8(X21_319,f4(f6(c15))) ),
inference(resolution,[status(thm)],[c_12,c_6250]) ).
tff(c_32,plain,
! [X19_23,X20_24] :
( ~ p8(X19_23,f4(f6(X20_24)))
| p8(X19_23,f4(f5(X20_24))) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_6291,plain,
! [X21_320] :
( p8(X21_320,f4(f5(c15)))
| ~ p7(c12,X21_320) ),
inference(resolution,[status(thm)],[c_6257,c_32]) ).
tff(c_337,plain,
! [X29_94,X28_95,X30_96] :
( ~ p2(X29_94,f5(X28_95))
| ~ p3(X30_96,f4(X29_94))
| ~ p8(c12,X30_96)
| ~ p10(X28_95,c11) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_594,plain,
! [X30_119,X28_120] :
( ~ p3(X30_119,f4(f5(X28_120)))
| ~ p8(c12,X30_119)
| ~ p10(X28_120,c11) ),
inference(resolution,[status(thm)],[c_4,c_337]) ).
tff(c_628,plain,
! [X28_120] :
( ~ p8(c12,f4(f5(X28_120)))
| ~ p10(X28_120,c11) ),
inference(resolution,[status(thm)],[c_6,c_594]) ).
tff(c_6311,plain,
( ~ p10(c15,c11)
| ~ p7(c12,c12) ),
inference(resolution,[status(thm)],[c_6291,c_628]) ).
tff(c_6331,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_10,c_6311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN566-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.12 % 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
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Apr 9 08:01:09 EDT 2025
% 0.13/0.34 % CPUTime :
% 7.41/2.82 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.41/2.83
% 7.41/2.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------