%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN602-1 : 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 : n002.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 10:04:01 PM UTC 2025
% Result : Unsatisfiable 258.87s 199.53s
% Output : CNFRefutation 258.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 27 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p12 > p2 > p15 > p13 > p14 > f9 > f8 > f7 > f6 > #nlpp > f5 > f4 > f3 > f11 > f10 > c23 > c22 > c21 > c20 > c19 > c18 > c17 > c16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(p15,type,
p15: ( $i * $i ) > $o ).
tff(c16,type,
c16: $i ).
tff(p14,type,
p14: $i > $o ).
tff(p13,type,
p13: ( $i * $i ) > $o ).
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(f7,type,
f7: ( $i * $i ) > $i ).
tff(f5,type,
f5: $i > $i ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(c18,type,
c18: $i ).
tff(p12,type,
p12: ( $i * $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(c19,type,
c19: $i ).
tff(c20,type,
c20: $i ).
tff(f11,type,
f11: $i > $i ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(f10,type,
f10: $i > $i ).
tff(f_24,axiom,
! [X18] : p2(X18,X18),
file(unknown,unknown) ).
tff(f_26,axiom,
p2(f3(c18),c19),
file(unknown,unknown) ).
tff(f_25,axiom,
p15(c22,c21),
file(unknown,unknown) ).
tff(f_80,axiom,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
file(unknown,unknown) ).
tff(f_74,axiom,
! [X19,X20,X18] :
( p2(X19,X20)
| ~ p2(X18,X19)
| ~ p2(X18,X20) ),
file(unknown,unknown) ).
tff(f_123,axiom,
! [X37,X38,X39,X40] :
( p2(f6(X37,X38),f6(X39,X40))
| ~ p2(X37,X39)
| ~ p2(X38,X40) ),
file(unknown,unknown) ).
tff(f_167,axiom,
! [X53,X54] :
( ~ p15(X53,c21)
| ~ p2(X53,f9(c20,X54))
| ~ p2(f7(f8(c21,X53),c20),f6(f5(c18),c19)) ),
file(unknown,unknown) ).
tff(f_27,axiom,
p2(c22,f9(c20,c23)),
file(unknown,unknown) ).
tff(c_4,plain,
! [X18_1] : p2(X18_1,X18_1),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_8,plain,
p2(f3(c18),c19),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_6,plain,
p15(c22,c21),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_32,plain,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_108,plain,
! [X18_81,X20_82,X19_83] :
( ~ p2(X18_81,X20_82)
| ~ p2(X18_81,X19_83)
| p2(X19_83,X20_82) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_135,plain,
! [X18_1,X19_83] :
( ~ p2(X18_1,X19_83)
| p2(X19_83,X18_1) ),
inference(resolution,[status(thm)],[c_4,c_108]) ).
tff(c_229,plain,
p2(f6(f5(c18),f3(c18)),f7(f8(c21,c22),c20)),
inference(resolution,[status(thm)],[c_32,c_135]) ).
tff(c_535,plain,
! [X38_122,X40_123,X37_124,X39_125] :
( ~ p2(X38_122,X40_123)
| ~ p2(X37_124,X39_125)
| p2(f6(X37_124,X38_122),f6(X39_125,X40_123)) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_28,plain,
! [X18_17,X20_16,X19_15] :
( ~ p2(X18_17,X20_16)
| ~ p2(X18_17,X19_15)
| p2(X19_15,X20_16) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_5281,plain,
! [X39_339,X37_340,X40_342,X38_343,X19_341] :
( ~ p2(f6(X37_340,X38_343),X19_341)
| p2(X19_341,f6(X39_339,X40_342))
| ~ p2(X38_343,X40_342)
| ~ p2(X37_340,X39_339) ),
inference(resolution,[status(thm)],[c_535,c_28]) ).
tff(c_410321,plain,
! [X39_2617,X40_2618] :
( p2(f7(f8(c21,c22),c20),f6(X39_2617,X40_2618))
| ~ p2(f3(c18),X40_2618)
| ~ p2(f5(c18),X39_2617) ),
inference(resolution,[status(thm)],[c_229,c_5281]) ).
tff(c_52,plain,
! [X53_51,X54_52] :
( ~ p2(f7(f8(c21,X53_51),c20),f6(f5(c18),c19))
| ~ p2(X53_51,f9(c20,X54_52))
| ~ p15(X53_51,c21) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_410569,plain,
! [X54_52] :
( ~ p2(c22,f9(c20,X54_52))
| ~ p15(c22,c21)
| ~ p2(f3(c18),c19)
| ~ p2(f5(c18),f5(c18)) ),
inference(resolution,[status(thm)],[c_410321,c_52]) ).
tff(c_410709,plain,
! [X54_52] : ~ p2(c22,f9(c20,X54_52)),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8,c_6,c_410569]) ).
tff(c_10,plain,
p2(c22,f9(c20,c23)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_410715,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410709,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN602-1 : TPTP v9.0.0. Released v2.5.0.
% 0.11/0.13 % 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
% 0.13/0.35 % Computer : n002.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 08:04:02 EDT 2025
% 0.13/0.35 % CPUTime :
% 258.87/199.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 258.87/199.53
% 258.87/199.53 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------