%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN570-1 : 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/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 : n005.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 10:03:57 PM UTC 2025
% Result : Unsatisfiable 16.26s 7.05s
% Output : CNFRefutation 16.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 60 ( 60 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p7 > p6 > p3 > p2 > p11 > p10 > #nlpp > f8 > f5 > f4 > c15 > c14 > c13 > c12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c12,type,
c12: $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c14,type,
c14: $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(c15,type,
c15: $i ).
tff(f5,type,
f5: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(c13,type,
c13: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(f_25,axiom,
! [X21] : p7(X21,X21),
file(unknown,unknown) ).
tff(f_33,axiom,
p9(c15,f8(c13)),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X17] : p3(f4(f5(X17)),X17),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X10,X11] :
( p2(f5(X10),f5(X11))
| ~ p3(X10,X11) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X7] : p2(X7,X7),
file(unknown,unknown) ).
tff(f_93,axiom,
! [X8,X9,X7] :
( p2(X8,X9)
| ~ p2(X7,X8)
| ~ p2(X7,X9) ),
file(unknown,unknown) ).
tff(f_34,axiom,
p2(c12,f5(c15)),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X12] : p3(X12,X12),
file(unknown,unknown) ).
tff(f_85,axiom,
! [X13,X14,X12] :
( p3(X13,X14)
| ~ p3(X12,X13)
| ~ p3(X12,X14) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X15,X16] :
( p3(f4(X15),f4(X16))
| ~ p2(X15,X16) ),
file(unknown,unknown) ).
tff(f_104,axiom,
! [X26,X27,X29,X28] :
( p9(X26,X27)
| ~ p7(X29,X27)
| ~ p9(X28,X29)
| ~ p3(X28,X26) ),
file(unknown,unknown) ).
tff(f_38,axiom,
~ p9(f4(c12),f8(c13)),
file(unknown,unknown) ).
tff(c_4,plain,
! [X21_2] : p7(X21_2,X21_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_14,plain,
p9(c15,f8(c13)),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_18,plain,
! [X17_6] : p3(f4(f5(X17_6)),X17_6),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_24,plain,
! [X10_9,X11_10] :
( ~ p3(X10_9,X11_10)
| p2(f5(X10_9),f5(X11_10)) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_10,plain,
! [X7_5] : p2(X7_5,X7_5),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_71,plain,
! [X7_53,X9_54,X8_55] :
( ~ p2(X7_53,X9_54)
| ~ p2(X7_53,X8_55)
| p2(X8_55,X9_54) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_89,plain,
! [X7_57,X8_58] :
( ~ p2(X7_57,X8_58)
| p2(X8_58,X7_57) ),
inference(resolution,[status(thm)],[c_10,c_71]) ).
tff(c_306,plain,
! [X11_93,X10_94] :
( p2(f5(X11_93),f5(X10_94))
| ~ p3(X10_94,X11_93) ),
inference(resolution,[status(thm)],[c_24,c_89]) ).
tff(c_16,plain,
p2(c12,f5(c15)),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_97,plain,
p2(f5(c15),c12),
inference(resolution,[status(thm)],[c_16,c_89]) ).
tff(c_36,plain,
! [X7_27,X9_26,X8_25] :
( ~ p2(X7_27,X9_26)
| ~ p2(X7_27,X8_25)
| p2(X8_25,X9_26) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_106,plain,
! [X8_25] :
( ~ p2(f5(c15),X8_25)
| p2(X8_25,c12) ),
inference(resolution,[status(thm)],[c_97,c_36]) ).
tff(c_315,plain,
! [X10_94] :
( p2(f5(X10_94),c12)
| ~ p3(X10_94,c15) ),
inference(resolution,[status(thm)],[c_306,c_106]) ).
tff(c_8,plain,
! [X12_4] : p3(X12_4,X12_4),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_50,plain,
! [X12_48,X14_49,X13_50] :
( ~ p3(X12_48,X14_49)
| ~ p3(X12_48,X13_50)
| p3(X13_50,X14_49) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_60,plain,
! [X12_51,X13_52] :
( ~ p3(X12_51,X13_52)
| p3(X13_52,X12_51) ),
inference(resolution,[status(thm)],[c_8,c_50]) ).
tff(c_68,plain,
! [X17_6] : p3(X17_6,f4(f5(X17_6))),
inference(resolution,[status(thm)],[c_18,c_60]) ).
tff(c_194,plain,
! [X17_74,X13_75] :
( ~ p3(f4(f5(X17_74)),X13_75)
| p3(X13_75,X17_74) ),
inference(resolution,[status(thm)],[c_18,c_50]) ).
tff(c_210,plain,
! [X17_74] : p3(f4(f5(f4(f5(X17_74)))),X17_74),
inference(resolution,[status(thm)],[c_68,c_194]) ).
tff(c_26,plain,
! [X15_11,X16_12] :
( ~ p2(X15_11,X16_12)
| p3(f4(X15_11),f4(X16_12)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_986,plain,
! [X15_155,X13_156,X16_157] :
( ~ p3(f4(X15_155),X13_156)
| p3(X13_156,f4(X16_157))
| ~ p2(X15_155,X16_157) ),
inference(resolution,[status(thm)],[c_26,c_50]) ).
tff(c_1285,plain,
! [X17_168,X16_169] :
( p3(X17_168,f4(X16_169))
| ~ p2(f5(f4(f5(X17_168))),X16_169) ),
inference(resolution,[status(thm)],[c_210,c_986]) ).
tff(c_1327,plain,
! [X17_170] :
( p3(X17_170,f4(c12))
| ~ p3(f4(f5(X17_170)),c15) ),
inference(resolution,[status(thm)],[c_315,c_1285]) ).
tff(c_1367,plain,
p3(c15,f4(c12)),
inference(resolution,[status(thm)],[c_18,c_1327]) ).
tff(c_38,plain,
! [X28_31,X26_28,X29_30,X27_29] :
( ~ p3(X28_31,X26_28)
| ~ p9(X28_31,X29_30)
| ~ p7(X29_30,X27_29)
| p9(X26_28,X27_29) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_36882,plain,
! [X29_616,X27_617] :
( ~ p9(c15,X29_616)
| ~ p7(X29_616,X27_617)
| p9(f4(c12),X27_617) ),
inference(resolution,[status(thm)],[c_1367,c_38]) ).
tff(c_36892,plain,
! [X27_618] :
( ~ p7(f8(c13),X27_618)
| p9(f4(c12),X27_618) ),
inference(resolution,[status(thm)],[c_14,c_36882]) ).
tff(c_20,plain,
~ p9(f4(c12),f8(c13)),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_36905,plain,
~ p7(f8(c13),f8(c13)),
inference(resolution,[status(thm)],[c_36892,c_20]) ).
tff(c_36914,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36905]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN570-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.13 % 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
% 0.12/0.34 % Computer : n005.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 : Wed Apr 9 08:01:12 EDT 2025
% 0.12/0.34 % CPUTime :
% 16.26/7.05 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.26/7.06
% 16.26/7.06 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------