%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN072+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n007.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 10:02:31 PM UTC 2025
% Result : Theorem 2.71s 1.62s
% Output : CNFRefutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 25 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 6 ( 4 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_p > #nlpp > b > a > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(b,type,
b: $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(big_p,type,
big_p: $i > $o ).
tff(f_38,negated_conjecture,
~ ! [X] : big_p(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49) ).
tff(f_31,axiom,
? [X,Y] :
! [Z] :
( ( Z = X )
| ( Z = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_1) ).
tff(f_33,axiom,
big_p(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_3) ).
tff(f_35,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_4) ).
tff(f_32,axiom,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_2) ).
tff(c_10,plain,
~ big_p('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_75,plain,
( ( '#skF_2' = '#skF_3' )
| ( '#skF_3' = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_17,plain,
! [Z_3] :
( ( Z_3 = '#skF_2' )
| ( Z_3 = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_6,plain,
big_p(b),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_26,plain,
( big_p('#skF_2')
| ( b = '#skF_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_6]) ).
tff(c_43,plain,
b = '#skF_1',
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_44,plain,
big_p('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_43,c_6]) ).
tff(c_60,plain,
( ( '#skF_2' = '#skF_3' )
| ( '#skF_3' = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_8,plain,
b != a,
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_45,plain,
a != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_43,c_8]) ).
tff(c_4,plain,
big_p(a),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_29,plain,
( big_p('#skF_2')
| ( a = '#skF_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_59,plain,
big_p('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_45,c_29]) ).
tff(c_61,plain,
( big_p('#skF_3')
| ( '#skF_3' = '#skF_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_60,c_59]) ).
tff(c_66,plain,
'#skF_3' = '#skF_1',
inference(negUnitSimplification,[status(thm)],[c_10,c_61]) ).
tff(c_69,plain,
~ big_p('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_66,c_10]) ).
tff(c_72,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44,c_69]) ).
tff(c_73,plain,
big_p('#skF_2'),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_76,plain,
( big_p('#skF_3')
| ( '#skF_3' = '#skF_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_75,c_73]) ).
tff(c_81,plain,
'#skF_3' = '#skF_1',
inference(negUnitSimplification,[status(thm)],[c_10,c_76]) ).
tff(c_88,plain,
~ big_p('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_81,c_10]) ).
tff(c_2,plain,
! [Z_2] :
( ( Z_2 = '#skF_2' )
| ( Z_2 = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_74,plain,
b != '#skF_1',
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_32,plain,
( ( a != '#skF_2' )
| ( b = '#skF_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_8]) ).
tff(c_93,plain,
a != '#skF_2',
inference(negUnitSimplification,[status(thm)],[c_74,c_32]) ).
tff(c_97,plain,
a = '#skF_1',
inference(superposition,[status(thm),theory(equality)],[c_2,c_93]) ).
tff(c_99,plain,
big_p('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN072+1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n007.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 06:56:24 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.71/1.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.71/1.62
% 2.71/1.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------