%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRA001-1 : TPTP v9.0.0. Released v1.0.0.
% 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 : n017.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 06:23:18 PM UTC 2025
% Result : Unsatisfiable 2.45s 1.58s
% Output : CNFRefutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 49 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 87 ( 43 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > e > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e,type,
e: $o ).
tff(c,type,
c: $o ).
tff(d,type,
d: $o ).
tff(b,type,
b: $o ).
tff(a,type,
a: $o ).
tff(f_54,axiom,
( ~ a
| ~ b ),
file(unknown,unknown) ).
tff(f_49,axiom,
( a
| b ),
file(unknown,unknown) ).
tff(f_120,axiom,
( ~ d
| e ),
file(unknown,unknown) ).
tff(f_68,axiom,
( a
| ~ c
| d ),
file(unknown,unknown) ).
tff(f_116,axiom,
( d
| ~ e ),
file(unknown,unknown) ).
tff(f_102,axiom,
( ~ b
| c
| e ),
file(unknown,unknown) ).
tff(f_96,axiom,
( b
| ~ c
| e ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ~ a
| c
| d ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ~ b
| ~ c
| ~ e ),
file(unknown,unknown) ).
tff(f_62,axiom,
( a
| c
| ~ d ),
file(unknown,unknown) ).
tff(f_82,axiom,
( ~ a
| ~ c
| ~ d ),
file(unknown,unknown) ).
tff(f_90,axiom,
( b
| c
| ~ e ),
file(unknown,unknown) ).
tff(c_4,plain,
( ~ b
| ~ a ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_53,plain,
~ a,
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_2,plain,
( b
| a ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_56,plain,
b,
inference(negUnitSimplification,[status(thm)],[c_53,c_2]) ).
tff(c_26,plain,
~ a,
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_24,plain,
( e
| ~ d ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_25,plain,
~ d,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_8,plain,
( d
| ~ c
| a ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_30,plain,
~ c,
inference(negUnitSimplification,[status(thm)],[c_26,c_25,c_8]) ).
tff(c_22,plain,
( ~ e
| d ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_27,plain,
~ e,
inference(negUnitSimplification,[status(thm)],[c_25,c_22]) ).
tff(c_28,plain,
b,
inference(negUnitSimplification,[status(thm)],[c_26,c_2]) ).
tff(c_18,plain,
( e
| c
| ~ b ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_38,plain,
( e
| c ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_18]) ).
tff(c_39,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_27,c_38]) ).
tff(c_40,plain,
~ b,
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_44,plain,
~ e,
inference(negUnitSimplification,[status(thm)],[c_25,c_22]) ).
tff(c_16,plain,
( e
| ~ c
| b ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_47,plain,
~ c,
inference(negUnitSimplification,[status(thm)],[c_40,c_44,c_16]) ).
tff(c_41,plain,
a,
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_10,plain,
( d
| c
| ~ a ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_49,plain,
( d
| c ),
inference(demodulation,[status(thm),theory(equality)],[c_41,c_10]) ).
tff(c_50,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47,c_25,c_49]) ).
tff(c_51,plain,
e,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_20,plain,
( ~ e
| ~ c
| ~ b ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_58,plain,
~ c,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_51,c_20]) ).
tff(c_52,plain,
d,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_6,plain,
( ~ d
| c
| a ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_70,plain,
( c
| a ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6]) ).
tff(c_71,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53,c_58,c_70]) ).
tff(c_72,plain,
~ b,
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_73,plain,
a,
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_12,plain,
( ~ d
| ~ c
| ~ a ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_86,plain,
~ c,
inference(demodulation,[status(thm),theory(equality)],[c_73,c_52,c_12]) ).
tff(c_14,plain,
( ~ e
| c
| b ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_90,plain,
( c
| b ),
inference(demodulation,[status(thm),theory(equality)],[c_51,c_14]) ).
tff(c_91,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_86,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRA001-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % 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
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 7 20:48:55 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.45/1.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.45/1.59
% 2.45/1.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------