%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN642-1 : 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 : n008.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 10:04:05 PM UTC 2025
% Result : Unsatisfiable 21.16s 10.67s
% Output : CNFRefutation 21.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 57 ( 30 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p17 > p6 > p4 > p2 > p16 > p12 > p11 > p15 > f9 > f14 > f10 > #nlpp > f8 > f7 > f5 > f3 > f13 > c20 > c19 > c18
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(p15,type,
p15: $i > $o ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(f7,type,
f7: $i > $i ).
tff(f9,type,
f9: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(f14,type,
f14: ( $i * $i ) > $i ).
tff(f13,type,
f13: $i > $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(f5,type,
f5: $i > $i ).
tff(c18,type,
c18: $i ).
tff(f8,type,
f8: $i > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(p17,type,
p17: ( $i * $i * $i ) > $o ).
tff(c19,type,
c19: $i ).
tff(c20,type,
c20: $i ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(f_22,axiom,
p15(f3(c19)),
file(unknown,unknown) ).
tff(f_23,axiom,
p15(f3(c18)),
file(unknown,unknown) ).
tff(f_41,axiom,
p6(f8(f3(c18)),f8(c18)),
file(unknown,unknown) ).
tff(f_36,axiom,
p6(f8(f3(c19)),f8(c19)),
file(unknown,unknown) ).
tff(f_192,axiom,
! [X14,X15] :
( p6(f8(f10(X14,X15)),f9(f8(X14),f8(X15)))
| ~ p15(X14)
| ~ p15(X15) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X45] : p6(X45,X45),
file(unknown,unknown) ).
tff(f_98,axiom,
! [X46,X47,X45] :
( p6(X46,X47)
| ~ p6(X45,X46)
| ~ p6(X45,X47) ),
file(unknown,unknown) ).
tff(f_168,axiom,
! [X52,X53,X54,X55] :
( p6(f9(X52,X53),f9(X54,X55))
| ~ p6(X53,X55)
| ~ p6(X52,X54) ),
file(unknown,unknown) ).
tff(f_132,axiom,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
file(unknown,unknown) ).
tff(c_2,plain,
p15(f3(c19)),
inference(cnfTransformation,[status(thm)],[f_22]) ).
tff(c_4,plain,
p15(f3(c18)),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_28,plain,
p6(f8(f3(c18)),f8(c18)),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_18,plain,
p6(f8(f3(c19)),f8(c19)),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_1007,plain,
! [X15_212,X14_213] :
( ~ p15(X15_212)
| ~ p15(X14_213)
| p6(f8(f10(X14_213,X15_212)),f9(f8(X14_213),f8(X15_212))) ),
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_8,plain,
! [X45_2] : p6(X45_2,X45_2),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_163,plain,
! [X45_122,X47_123,X46_124] :
( ~ p6(X45_122,X47_123)
| ~ p6(X45_122,X46_124)
| p6(X46_124,X47_123) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_184,plain,
! [X45_2,X46_124] :
( ~ p6(X45_2,X46_124)
| p6(X46_124,X45_2) ),
inference(resolution,[status(thm)],[c_8,c_163]) ).
tff(c_5942,plain,
! [X14_556,X15_557] :
( p6(f9(f8(X14_556),f8(X15_557)),f8(f10(X14_556,X15_557)))
| ~ p15(X15_557)
| ~ p15(X14_556) ),
inference(resolution,[status(thm)],[c_1007,c_184]) ).
tff(c_513,plain,
! [X52_160,X54_161,X53_162,X55_163] :
( ~ p6(X52_160,X54_161)
| ~ p6(X53_162,X55_163)
| p6(f9(X52_160,X53_162),f9(X54_161,X55_163)) ),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_46,plain,
! [X45_26,X47_25,X46_24] :
( ~ p6(X45_26,X47_25)
| ~ p6(X45_26,X46_24)
| p6(X46_24,X47_25) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_519,plain,
! [X52_160,X55_163,X54_161,X53_162,X46_24] :
( ~ p6(f9(X52_160,X53_162),X46_24)
| p6(X46_24,f9(X54_161,X55_163))
| ~ p6(X52_160,X54_161)
| ~ p6(X53_162,X55_163) ),
inference(resolution,[status(thm)],[c_513,c_46]) ).
tff(c_56752,plain,
! [X14_1747,X15_1748,X54_1749,X55_1750] :
( p6(f8(f10(X14_1747,X15_1748)),f9(X54_1749,X55_1750))
| ~ p6(f8(X14_1747),X54_1749)
| ~ p6(f8(X15_1748),X55_1750)
| ~ p15(X15_1748)
| ~ p15(X14_1747) ),
inference(resolution,[status(thm)],[c_5942,c_519]) ).
tff(c_56,plain,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_56813,plain,
( ~ p6(f8(f3(c19)),f8(c19))
| ~ p6(f8(f3(c18)),f8(c18))
| ~ p15(f3(c18))
| ~ p15(f3(c19)) ),
inference(resolution,[status(thm)],[c_56752,c_56]) ).
tff(c_56850,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4,c_28,c_18,c_56813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN642-1 : TPTP v9.0.0. Released v2.5.0.
% 0.10/0.12 % 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
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Apr 9 08:07:02 EDT 2025
% 0.11/0.33 % CPUTime :
% 21.16/10.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.16/10.67
% 21.16/10.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------