%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN594-1 : 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 : n009.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 10:04:00 PM UTC 2025
% Result : Unsatisfiable 7.21s 2.86s
% Output : CNFRefutation 7.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 28 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p7 > p2 > p15 > p14 > f9 > f8 > f6 > f13 > f10 > #nlpp > f5 > f4 > f3 > f12 > f11 > 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(c17,type,
c17: $i ).
tff(c22,type,
c22: $i ).
tff(f5,type,
f5: $i > $i ).
tff(f8,type,
f8: ( $i * $i ) > $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(f_40,axiom,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X4,X5] :
( p15(X4,X5)
| ~ p14(X4,X5) ),
file(unknown,unknown) ).
tff(f_89,axiom,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
file(unknown,unknown) ).
tff(f_72,axiom,
! [X4,X5] :
( p14(X4,X5)
| p2(X4,X5)
| ~ p15(X4,X5) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [X10] : p2(X10,X10),
file(unknown,unknown) ).
tff(f_88,axiom,
! [X11,X12,X10] :
( p2(X11,X12)
| ~ p2(X10,X11)
| ~ p2(X10,X12) ),
file(unknown,unknown) ).
tff(f_91,axiom,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file(unknown,unknown) ).
tff(f_28,axiom,
p14(c18,f3(f4(f5(c17)))),
file(unknown,unknown) ).
tff(f_154,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_178,axiom,
! [X46,X47,X48] :
( ~ p14(X46,f3(f4(f5(c17))))
| ~ p15(X47,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X47)
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22))))) ),
file(unknown,unknown) ).
tff(c_14,plain,
p14(c19,f6(f3(f4(f5(c17))),c16)),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_10,plain,
! [X4_3,X5_4] :
( ~ p14(X4_3,X5_4)
| p15(X4_3,X5_4) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_32,plain,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_122,plain,
! [X4_89,X5_90] :
( ~ p15(X4_89,X5_90)
| p2(X4_89,X5_90)
| p14(X4_89,X5_90) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_2,plain,
! [X10_1] : p2(X10_1,X10_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_83,plain,
! [X10_80,X12_81,X11_82] :
( ~ p2(X10_80,X12_81)
| ~ p2(X10_80,X11_82)
| p2(X11_82,X12_81) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_95,plain,
! [X10_1,X11_82] :
( ~ p2(X10_1,X11_82)
| p2(X11_82,X10_1) ),
inference(resolution,[status(thm)],[c_2,c_83]) ).
tff(c_133,plain,
! [X5_90,X4_89] :
( p2(X5_90,X4_89)
| ~ p15(X4_89,X5_90)
| p14(X4_89,X5_90) ),
inference(resolution,[status(thm)],[c_122,c_95]) ).
tff(c_34,plain,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_326,plain,
( ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(resolution,[status(thm)],[c_133,c_34]) ).
tff(c_332,plain,
p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_326]) ).
tff(c_8,plain,
p14(c18,f3(f4(f5(c17)))),
inference(cnfTransformation,[status(thm)],[f_28]) ).
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_154]) ).
tff(c_1244,plain,
! [X46_242,X48_243,X47_244] :
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46_242),f8(f10(f11(f3(f4(f5(c17)))),X48_243),f9(f11(X47_244),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X47_244)
| ~ p15(X47_244,f6(f3(f4(f5(c17))),c16))
| ~ p14(X46_242,f3(f4(f5(c17)))) ),
inference(cnfTransformation,[status(thm)],[f_178]) ).
tff(c_1247,plain,
( ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| ~ p14(c18,f3(f4(f5(c17)))) ),
inference(resolution,[status(thm)],[c_50,c_1244]) ).
tff(c_1250,plain,
( ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| ~ p15(c19,f6(f3(f4(f5(c17))),c16)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_1247]) ).
tff(c_3833,plain,
~ p15(c19,f6(f3(f4(f5(c17))),c16)),
inference(demodulation,[status(thm),theory(equality)],[c_332,c_1250]) ).
tff(c_3836,plain,
~ p14(c19,f6(f3(f4(f5(c17))),c16)),
inference(resolution,[status(thm)],[c_10,c_3833]) ).
tff(c_3840,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_3836]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN594-1 : 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
% 0.13/0.34 % Computer : n009.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Apr 9 08:02:26 EDT 2025
% 0.13/0.35 % CPUTime :
% 7.21/2.86 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.21/2.86
% 7.21/2.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------