%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN660-1 : 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 : n003.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 10:04:08 PM UTC 2025
% Result : Unsatisfiable 14.32s 5.67s
% Output : CNFRefutation 14.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p23 > p7 > p6 > p3 > p27 > p26 > p25 > p24 > p2 > p19 > p18 > p14 > p12 > p10 > p22 > f21 > f20 > f16 > f15 > f13 > f11 > #nlpp > f9 > f8 > f5 > f4 > f17 > c37 > c36 > c35 > c34 > c33 > c32 > c31 > c30 > c29 > c28
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(c37,type,
c37: $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(f17,type,
f17: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c34,type,
c34: $i ).
tff(p23,type,
p23: ( $i * $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(p22,type,
p22: $i > $o ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(f5,type,
f5: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c36,type,
c36: $i ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(f9,type,
f9: $i > $i ).
tff(p25,type,
p25: ( $i * $i ) > $o ).
tff(c29,type,
c29: $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(p24,type,
p24: ( $i * $i ) > $o ).
tff(c30,type,
c30: $i ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(c35,type,
c35: $i ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(c31,type,
c31: $i ).
tff(c28,type,
c28: $i ).
tff(p26,type,
p26: ( $i * $i ) > $o ).
tff(f21,type,
f21: ( $i * $i ) > $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(f20,type,
f20: ( $i * $i ) > $i ).
tff(f_42,axiom,
p25(c33,c36),
file(unknown,unknown) ).
tff(f_44,axiom,
p25(c32,c33),
file(unknown,unknown) ).
tff(f_269,axiom,
! [X43] :
( p2(f11(f4(X43),c34),f11(f4(c32),c34))
| ~ p25(X43,c36)
| ~ p25(c32,X43) ),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X35] : p2(X35,X35),
file(unknown,unknown) ).
tff(f_125,axiom,
! [X36,X37,X35] :
( p2(X36,X37)
| ~ p2(X35,X36)
| ~ p2(X35,X37) ),
file(unknown,unknown) ).
tff(f_202,axiom,
p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X96] : ~ p2(X96,f16(X96,f9(f17(c31)))),
file(unknown,unknown) ).
tff(c_24,plain,
p25(c33,c36),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_28,plain,
p25(c32,c33),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_1289,plain,
! [X43_294] :
( ~ p25(c32,X43_294)
| ~ p25(X43_294,c36)
| p2(f11(f4(X43_294),c34),f11(f4(c32),c34)) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_12,plain,
! [X35_5] : p2(X35_5,X35_5),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_363,plain,
! [X35_187,X37_188,X36_189] :
( ~ p2(X35_187,X37_188)
| ~ p2(X35_187,X36_189)
| p2(X36_189,X37_188) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_378,plain,
! [X35_5,X36_189] :
( ~ p2(X35_5,X36_189)
| p2(X36_189,X35_5) ),
inference(resolution,[status(thm)],[c_12,c_363]) ).
tff(c_19545,plain,
! [X43_866] :
( p2(f11(f4(c32),c34),f11(f4(X43_866),c34))
| ~ p25(c32,X43_866)
| ~ p25(X43_866,c36) ),
inference(resolution,[status(thm)],[c_1289,c_378]) ).
tff(c_78,plain,
p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_60,plain,
! [X35_38,X37_37,X36_36] :
( ~ p2(X35_38,X37_37)
| ~ p2(X35_38,X36_36)
| p2(X36_36,X37_37) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_7294,plain,
! [X36_609] :
( ~ p2(f11(f4(c32),c34),X36_609)
| p2(X36_609,f16(f11(f4(c33),c34),f9(f17(c31)))) ),
inference(resolution,[status(thm)],[c_78,c_60]) ).
tff(c_38,plain,
! [X96_11] : ~ p2(X96_11,f16(X96_11,f9(f17(c31)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_7472,plain,
~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
inference(resolution,[status(thm)],[c_7294,c_38]) ).
tff(c_19564,plain,
( ~ p25(c32,c33)
| ~ p25(c33,c36) ),
inference(resolution,[status(thm)],[c_19545,c_7472]) ).
tff(c_19645,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_28,c_19564]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN660-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.13 % 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
% 0.13/0.33 % Computer : n003.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 08:08:18 EDT 2025
% 0.13/0.33 % CPUTime :
% 14.32/5.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.32/5.67
% 14.32/5.67 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------