%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN588-1 : 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 : n031.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 10:03:59 PM UTC 2025
% Result : Unsatisfiable 8.02s 3.00s
% Output : CNFRefutation 8.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p7 > p2 > p15 > p14 > f9 > f8 > f6 > f13 > f10 > #nlpp > f5 > f4 > f3 > f12 > f11 > c25 > c24 > c23 > c22 > c21 > c20 > c19 > c18 > c17 > c16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(f12,type,
f12: $i > $i ).
tff(p15,type,
p15: ( $i * $i ) > $o ).
tff(c16,type,
c16: $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
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(c17,type,
c17: $i ).
tff(c22,type,
c22: $i ).
tff(f5,type,
f5: $i > $i ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(c25,type,
c25: $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(c18,type,
c18: $i ).
tff(f4,type,
f4: $i > $i ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(c19,type,
c19: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(c20,type,
c20: $i ).
tff(f11,type,
f11: $i > $i ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(c24,type,
c24: $i ).
tff(f_138,axiom,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file(unknown,unknown) ).
tff(f_137,axiom,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
file(unknown,unknown) ).
tff(f_65,axiom,
! [X26,X27,X25] :
( p7(X26,X27)
| ~ p7(X25,X26)
| ~ p7(X25,X27) ),
file(unknown,unknown) ).
tff(f_140,axiom,
~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
file(unknown,unknown) ).
tff(c_50,plain,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_48,plain,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_28,plain,
! [X25_15,X27_14,X26_13] :
( ~ p7(X25_15,X27_14)
| ~ p7(X25_15,X26_13)
| p7(X26_13,X27_14) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_5261,plain,
! [X26_326] :
( ~ p7(c20,X26_326)
| p7(X26_326,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))) ),
inference(resolution,[status(thm)],[c_48,c_28]) ).
tff(c_52,plain,
~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_5290,plain,
~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(resolution,[status(thm)],[c_5261,c_52]) ).
tff(c_5311,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50,c_5290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN588-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Apr 9 08:02:07 EDT 2025
% 0.14/0.36 % CPUTime :
% 8.02/3.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.04/3.01
% 8.04/3.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------