%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN571-1 : 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 : n011.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 10:03:57 PM UTC 2025
% Result : Unsatisfiable 3.64s 1.88s
% Output : CNFRefutation 3.64s
% 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 : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p4 > p2 > p11 > f9 > f8 > f3 > #nlpp > f7 > f6 > f5 > f10 > c14 > c13 > c12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(c12,type,
c12: $i ).
tff(f7,type,
f7: $i > $i ).
tff(f9,type,
f9: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c14,type,
c14: $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(f5,type,
f5: $i > $i ).
tff(f6,type,
f6: $i > $i ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(c13,type,
c13: $i ).
tff(f3,type,
f3: ( $i * $i ) > $i ).
tff(f10,type,
f10: $i > $i ).
tff(f_80,axiom,
! [X24,X25] : p2(f9(f5(X24),f5(X25)),f5(f8(X24,X25))),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X11] : p2(X11,X11),
file(unknown,unknown) ).
tff(f_70,axiom,
! [X12,X13,X11] :
( p2(X12,X13)
| ~ p2(X11,X12)
| ~ p2(X11,X13) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X10] : p11(f5(X10),c14),
file(unknown,unknown) ).
tff(f_101,axiom,
! [X0,X1,X2,X3] :
( p11(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p11(X2,X3) ),
file(unknown,unknown) ).
tff(f_85,axiom,
! [X6,X7,X8] :
( p11(X6,f3(X7,X8))
| ~ p11(f9(X6,X8),X7) ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [X9] :
( p11(c14,X9)
| ~ p11(f5(f10(X9)),X9) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [X39] : ~ p11(X39,f3(X39,f5(f6(f7(c12))))),
file(unknown,unknown) ).
tff(c_187,plain,
! [X24_86,X25_87] : p2(f9(f5(X24_86),f5(X25_87)),f5(f8(X24_86,X25_87))),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_4,plain,
! [X11_2] : p2(X11_2,X11_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_96,plain,
! [X11_65,X13_66,X12_67] :
( ~ p2(X11_65,X13_66)
| ~ p2(X11_65,X12_67)
| p2(X12_67,X13_66) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_102,plain,
! [X11_2,X12_67] :
( ~ p2(X11_2,X12_67)
| p2(X12_67,X11_2) ),
inference(resolution,[status(thm)],[c_4,c_96]) ).
tff(c_390,plain,
! [X24_127,X25_128] : p2(f5(f8(X24_127,X25_128)),f9(f5(X24_127),f5(X25_128))),
inference(resolution,[status(thm)],[c_187,c_102]) ).
tff(c_6,plain,
! [X10_3] : p11(f5(X10_3),c14),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_233,plain,
! [X2_96,X3_97,X1_98,X0_99] :
( ~ p11(X2_96,X3_97)
| ~ p2(X3_97,X1_98)
| ~ p2(X2_96,X0_99)
| p11(X0_99,X1_98) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_368,plain,
! [X1_122,X10_123,X0_124] :
( ~ p2(c14,X1_122)
| ~ p2(f5(X10_123),X0_124)
| p11(X0_124,X1_122) ),
inference(resolution,[status(thm)],[c_6,c_233]) ).
tff(c_372,plain,
! [X10_123,X0_124] :
( ~ p2(f5(X10_123),X0_124)
| p11(X0_124,c14) ),
inference(resolution,[status(thm)],[c_4,c_368]) ).
tff(c_409,plain,
! [X24_129,X25_130] : p11(f9(f5(X24_129),f5(X25_130)),c14),
inference(resolution,[status(thm)],[c_390,c_372]) ).
tff(c_30,plain,
! [X6_25,X8_27,X7_26] :
( ~ p11(f9(X6_25,X8_27),X7_26)
| p11(X6_25,f3(X7_26,X8_27)) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_431,plain,
! [X24_135,X25_136] : p11(f5(X24_135),f3(c14,f5(X25_136))),
inference(resolution,[status(thm)],[c_409,c_30]) ).
tff(c_14,plain,
! [X9_8] :
( ~ p11(f5(f10(X9_8)),X9_8)
| p11(c14,X9_8) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_440,plain,
! [X25_137] : p11(c14,f3(c14,f5(X25_137))),
inference(resolution,[status(thm)],[c_431,c_14]) ).
tff(c_12,plain,
! [X39_7] : ~ p11(X39_7,f3(X39_7,f5(f6(f7(c12))))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_448,plain,
$false,
inference(resolution,[status(thm)],[c_440,c_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SYN571-1 : TPTP v9.0.0. Released v2.5.0.
% 0.08/0.12 % 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 : n011.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 08:01:18 EDT 2025
% 0.13/0.33 % CPUTime :
% 3.64/1.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/1.88
% 3.64/1.88 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------