%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN643-1 : 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 : n021.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 22.76s 11.37s
% Output : CNFRefutation 22.93s
% 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_37,axiom,
p4(f5(f3(c18)),f5(c18)),
file(unknown,unknown) ).
tff(f_38,axiom,
p4(f5(f3(c19)),f5(c19)),
file(unknown,unknown) ).
tff(f_200,axiom,
! [X14,X15] :
( p4(f5(f10(X14,X15)),f9(f5(X14),f5(X15)))
| ~ p15(X14)
| ~ p15(X15) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X36] : p4(X36,X36),
file(unknown,unknown) ).
tff(f_106,axiom,
! [X37,X38,X36] :
( p4(X37,X38)
| ~ p4(X36,X37)
| ~ p4(X36,X38) ),
file(unknown,unknown) ).
tff(f_184,axiom,
! [X41,X42,X43,X44] :
( p4(f9(X41,X42),f9(X43,X44))
| ~ p4(X42,X44)
| ~ p4(X41,X43) ),
file(unknown,unknown) ).
tff(f_132,axiom,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(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_20,plain,
p4(f5(f3(c18)),f5(c18)),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_22,plain,
p4(f5(f3(c19)),f5(c19)),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_875,plain,
! [X15_200,X14_201] :
( ~ p15(X15_200)
| ~ p15(X14_201)
| p4(f5(f10(X14_201,X15_200)),f9(f5(X14_201),f5(X15_200))) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_10,plain,
! [X36_3] : p4(X36_3,X36_3),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_236,plain,
! [X36_127,X38_128,X37_129] :
( ~ p4(X36_127,X38_128)
| ~ p4(X36_127,X37_129)
| p4(X37_129,X38_128) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_248,plain,
! [X36_3,X37_129] :
( ~ p4(X36_3,X37_129)
| p4(X37_129,X36_3) ),
inference(resolution,[status(thm)],[c_10,c_236]) ).
tff(c_6048,plain,
! [X14_572,X15_573] :
( p4(f9(f5(X14_572),f5(X15_573)),f5(f10(X14_572,X15_573)))
| ~ p15(X15_573)
| ~ p15(X14_572) ),
inference(resolution,[status(thm)],[c_875,c_248]) ).
tff(c_657,plain,
! [X41_178,X43_179,X42_180,X44_181] :
( ~ p4(X41_178,X43_179)
| ~ p4(X42_180,X44_181)
| p4(f9(X41_178,X42_180),f9(X43_179,X44_181)) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_48,plain,
! [X36_29,X38_28,X37_27] :
( ~ p4(X36_29,X38_28)
| ~ p4(X36_29,X37_27)
| p4(X37_27,X38_28) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_663,plain,
! [X43_179,X42_180,X41_178,X37_27,X44_181] :
( ~ p4(f9(X41_178,X42_180),X37_27)
| p4(X37_27,f9(X43_179,X44_181))
| ~ p4(X41_178,X43_179)
| ~ p4(X42_180,X44_181) ),
inference(resolution,[status(thm)],[c_657,c_48]) ).
tff(c_58923,plain,
! [X14_1804,X15_1805,X43_1806,X44_1807] :
( p4(f5(f10(X14_1804,X15_1805)),f9(X43_1806,X44_1807))
| ~ p4(f5(X14_1804),X43_1806)
| ~ p4(f5(X15_1805),X44_1807)
| ~ p15(X15_1805)
| ~ p15(X14_1804) ),
inference(resolution,[status(thm)],[c_6048,c_663]) ).
tff(c_56,plain,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_58968,plain,
( ~ p4(f5(f3(c19)),f5(c19))
| ~ p4(f5(f3(c18)),f5(c18))
| ~ p15(f3(c18))
| ~ p15(f3(c19)) ),
inference(resolution,[status(thm)],[c_58923,c_56]) ).
tff(c_58997,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4,c_20,c_22,c_58968]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN643-1 : TPTP v9.0.0. Released v2.5.0.
% 0.10/0.13 % 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 08:07:14 EDT 2025
% 0.13/0.34 % CPUTime :
% 22.76/11.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.89/11.38
% 22.89/11.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------