%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN325+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/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 : n015.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 10:03:11 PM UTC 2025
% Result : Theorem 2.62s 1.75s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 10 ( 3 ~; 3 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 7 ( 6 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_f > big_g > #nlpp > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(big_g,type,
big_g: $i > $o ).
tff(big_f,type,
big_f: ( $i * $i ) > $o ).
tff(f_36,negated_conjecture,
~ ? [X] :
! [Y] :
( ( ( big_f(X,X)
=> big_f(Y,Y) )
=> ( big_f(X,Y)
& big_g(X) ) )
=> big_g(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_9_2) ).
tff(c_2,plain,
! [X_1] : ~ big_g('#skF_1'(X_1)),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_6,plain,
! [X_1] :
( big_f(X_1,X_1)
| big_g(X_1) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_13,plain,
! [X_5] :
( ~ big_f('#skF_1'(X_5),'#skF_1'(X_5))
| big_g(X_5) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_16,plain,
! [X_5] :
( big_g(X_5)
| big_g('#skF_1'(X_5)) ),
inference(resolution,[status(thm)],[c_6,c_13]) ).
tff(c_19,plain,
! [X_5] : big_g(X_5),
inference(negUnitSimplification,[status(thm)],[c_2,c_16]) ).
tff(c_24,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SYN325+1 : TPTP v9.0.0. Released v2.0.0.
% 0.09/0.15 % 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
% 0.16/0.36 % Computer : n015.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Apr 9 07:17:50 EDT 2025
% 0.16/0.37 % CPUTime :
% 2.62/1.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/1.75
% 2.62/1.75 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------