%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN626-1 : 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 10:04:03 PM UTC 2025
% Result : Unsatisfiable 17.07s 7.76s
% Output : CNFRefutation 17.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 26 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p7 > p6 > p3 > p2 > p19 > p18 > p17 > p16 > p15 > p14 > p11 > f9 > f8 > f10 > #nlpp > f5 > f4 > f13 > f12 > c24 > c23 > c22 > c21 > c20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f12,type,
f12: $i > $i ).
tff(p15,type,
p15: ( $i * $i ) > $o ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(f9,type,
f9: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c21,type,
c21: $i ).
tff(c23,type,
c23: $i ).
tff(f13,type,
f13: $i > $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(p17,type,
p17: ( $i * $i ) > $o ).
tff(c22,type,
c22: $i ).
tff(f5,type,
f5: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(c20,type,
c20: $i ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(c24,type,
c24: $i ).
tff(f_27,axiom,
! [X47] : p6(X47,X47),
file(unknown,unknown) ).
tff(f_40,axiom,
p15(c22,f8(f5(c20),f9(c23,c24))),
file(unknown,unknown) ).
tff(f_39,axiom,
! [X14,X15] :
( p16(X14,X15)
| ~ p15(X14,X15) ),
file(unknown,unknown) ).
tff(f_70,axiom,
! [X20] :
( p7(f12(f13(X20)),X20)
| ~ p16(c22,X20) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X54] : p7(X54,X54),
file(unknown,unknown) ).
tff(f_86,axiom,
! [X55,X56,X54] :
( p7(X55,X56)
| ~ p7(X54,X55)
| ~ p7(X54,X56) ),
file(unknown,unknown) ).
tff(f_211,axiom,
! [X10,X11,X12,X13] :
( p15(X10,X11)
| ~ p6(X12,X10)
| ~ p7(X13,X11)
| ~ p15(X12,X13) ),
file(unknown,unknown) ).
tff(f_136,axiom,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
file(unknown,unknown) ).
tff(c_6,plain,
! [X47_3] : p6(X47_3,X47_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_18,plain,
p15(c22,f8(f5(c20),f9(c23,c24))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_16,plain,
! [X14_7,X15_8] :
( ~ p15(X14_7,X15_8)
| p16(X14_7,X15_8) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_30,plain,
! [X20_18] :
( ~ p16(c22,X20_18)
| p7(f12(f13(X20_18)),X20_18) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_4,plain,
! [X54_2] : p7(X54_2,X54_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_170,plain,
! [X54_115,X56_116,X55_117] :
( ~ p7(X54_115,X56_116)
| ~ p7(X54_115,X55_117)
| p7(X55_117,X56_116) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_180,plain,
! [X54_118,X55_119] :
( ~ p7(X54_118,X55_119)
| p7(X55_119,X54_118) ),
inference(resolution,[status(thm)],[c_4,c_170]) ).
tff(c_188,plain,
! [X20_18] :
( p7(X20_18,f12(f13(X20_18)))
| ~ p16(c22,X20_18) ),
inference(resolution,[status(thm)],[c_30,c_180]) ).
tff(c_972,plain,
! [X12_199,X13_200,X11_201,X10_202] :
( ~ p15(X12_199,X13_200)
| ~ p7(X13_200,X11_201)
| ~ p6(X12_199,X10_202)
| p15(X10_202,X11_201) ),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_3342,plain,
! [X11_333,X10_334] :
( ~ p7(f8(f5(c20),f9(c23,c24)),X11_333)
| ~ p6(c22,X10_334)
| p15(X10_334,X11_333) ),
inference(resolution,[status(thm)],[c_18,c_972]) ).
tff(c_3365,plain,
! [X10_334] :
( ~ p6(c22,X10_334)
| p15(X10_334,f12(f13(f8(f5(c20),f9(c23,c24)))))
| ~ p16(c22,f8(f5(c20),f9(c23,c24))) ),
inference(resolution,[status(thm)],[c_188,c_3342]) ).
tff(c_47056,plain,
~ p16(c22,f8(f5(c20),f9(c23,c24))),
inference(splitLeft,[status(thm)],[c_3365]) ).
tff(c_47059,plain,
~ p15(c22,f8(f5(c20),f9(c23,c24))),
inference(resolution,[status(thm)],[c_16,c_47056]) ).
tff(c_47063,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_47059]) ).
tff(c_47244,plain,
! [X10_1224] :
( ~ p6(c22,X10_1224)
| p15(X10_1224,f12(f13(f8(f5(c20),f9(c23,c24))))) ),
inference(splitRight,[status(thm)],[c_3365]) ).
tff(c_48,plain,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_47262,plain,
~ p6(c22,c22),
inference(resolution,[status(thm)],[c_47244,c_48]) ).
tff(c_47274,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_47262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN626-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.14 % 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
% 0.13/0.35 % Computer : n005.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 : Wed Apr 9 08:05:12 EDT 2025
% 0.13/0.35 % CPUTime :
% 17.07/7.76 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.07/7.77
% 17.07/7.77 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------