%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PHI011+1 : TPTP v9.0.0. Released v7.2.0.
% 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 : n003.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 08:22:25 PM UTC 2025
% Result : Theorem 3.00s 2.00s
% Output : CNFRefutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 22 ( 7 ~; 5 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 8 ( 7 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_the > exemplifies_property > property > object > #nlpp > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(object,type,
object: $i > $o ).
tff(property,type,
property: $i > $o ).
tff(is_the,type,
is_the: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(exemplifies_property,type,
exemplifies_property: ( $i * $i ) > $o ).
tff(f_69,negated_conjecture,
~ ! [F] :
( property(F)
=> ( ? [Y] :
( object(Y)
& is_the(Y,F) )
=> ! [Z] :
( object(Z)
=> ( is_the(Z,F)
=> exemplifies_property(F,Z) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_theorem_2) ).
tff(f_54,axiom,
! [X,F,Y] :
( ( object(X)
& property(F)
& object(Y) )
=> ( ( is_the(X,F)
& ( X = Y ) )
=> exemplifies_property(F,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
tff(c_14,plain,
~ exemplifies_property('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_18,plain,
object('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_24,plain,
property('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_16,plain,
is_the('#skF_3','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_54,plain,
! [F_20,Y_21] :
( exemplifies_property(F_20,Y_21)
| ~ is_the(Y_21,F_20)
| ~ property(F_20)
| ~ object(Y_21) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_60,plain,
( exemplifies_property('#skF_1','#skF_3')
| ~ property('#skF_1')
| ~ object('#skF_3') ),
inference(resolution,[status(thm)],[c_16,c_54]) ).
tff(c_66,plain,
exemplifies_property('#skF_1','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_24,c_60]) ).
tff(c_68,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PHI011+1 : TPTP v9.0.0. Released v7.2.0.
% 0.07/0.14 % 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
% 0.13/0.35 % Computer : n003.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 : Tue Apr 8 16:28:03 EDT 2025
% 0.13/0.35 % CPUTime :
% 3.00/2.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.00/2.01
% 3.00/2.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------