%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN663-1 : 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 : n010.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 16.97s 6.04s
% Output : CNFRefutation 16.97s
% 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_41,axiom,
p25(c36,c33),
file(unknown,unknown) ).
tff(f_43,axiom,
p25(c32,c36),
file(unknown,unknown) ).
tff(f_261,axiom,
! [X42] :
( p2(f11(f4(X42),c34),f11(f4(c32),c34))
| ~ p25(X42,c33)
| ~ p25(c32,X42) ),
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_203,axiom,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X96] : ~ p2(X96,f16(X96,f9(f17(c31)))),
file(unknown,unknown) ).
tff(c_22,plain,
p25(c36,c33),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_26,plain,
p25(c32,c36),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_1287,plain,
! [X42_292] :
( ~ p25(c32,X42_292)
| ~ p25(X42_292,c33)
| p2(f11(f4(X42_292),c34),f11(f4(c32),c34)) ),
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_12,plain,
! [X35_5] : p2(X35_5,X35_5),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_201,plain,
! [X35_169,X37_170,X36_171] :
( ~ p2(X35_169,X37_170)
| ~ p2(X35_169,X36_171)
| p2(X36_171,X37_170) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_216,plain,
! [X35_5,X36_171] :
( ~ p2(X35_5,X36_171)
| p2(X36_171,X35_5) ),
inference(resolution,[status(thm)],[c_12,c_201]) ).
tff(c_19232,plain,
! [X42_872] :
( p2(f11(f4(c32),c34),f11(f4(X42_872),c34))
| ~ p25(c32,X42_872)
| ~ p25(X42_872,c33) ),
inference(resolution,[status(thm)],[c_1287,c_216]) ).
tff(c_80,plain,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
inference(cnfTransformation,[status(thm)],[f_203]) ).
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_6932,plain,
! [X36_597] :
( ~ p2(f11(f4(c32),c34),X36_597)
| p2(X36_597,f16(f11(f4(c36),c34),f9(f17(c31)))) ),
inference(resolution,[status(thm)],[c_80,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_7114,plain,
~ p2(f11(f4(c32),c34),f11(f4(c36),c34)),
inference(resolution,[status(thm)],[c_6932,c_38]) ).
tff(c_19258,plain,
( ~ p25(c32,c36)
| ~ p25(c36,c33) ),
inference(resolution,[status(thm)],[c_19232,c_7114]) ).
tff(c_19341,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_26,c_19258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN663-1 : TPTP v9.0.0. Released v2.5.0.
% 0.13/0.14 % 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 : n010.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 08:09:03 EDT 2025
% 0.13/0.35 % CPUTime :
% 16.97/6.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.97/6.04
% 16.97/6.04 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------