%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN336+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 : n026.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 10:03:14 PM UTC 2025
% Result : Theorem 2.41s 1.51s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 6 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 7 ( 5 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_f > #nlpp > #skF_1 > #skF_2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(big_f,type,
big_f: ( $i * $i ) > $o ).
tff(f_37,negated_conjecture,
~ ! [X] :
? [Y1,Y2] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y1,Z)
=> ( big_f(Y2,Z)
=> ( big_f(Y1,X)
=> big_f(Z,Y2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_15_1) ).
tff(c_4,plain,
! [Y1_5] : big_f(Y1_5,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_12,plain,
! [Y1_9,Y2_10] : ~ big_f('#skF_2'(Y1_9,Y2_10),Y2_10),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_17,plain,
$false,
inference(resolution,[status(thm)],[c_4,c_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN336+1 : TPTP v9.0.0. Released v2.0.0.
% 0.12/0.12 % 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 : n026.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 : Wed Apr 9 07:18:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 2.41/1.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.41/1.52
% 2.41/1.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------