%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN351+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 : n014.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 10:03:18 PM UTC 2025
% Result : Theorem 2.59s 1.58s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 18 ( 7 ~; 3 |; 1 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 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; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 10 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_f > #nlpp > #skF_3 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(big_f,type,
big_f: ( $i * $i * $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(f_45,negated_conjecture,
~ ! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( big_f(X1,Y2,X1,Z)
=> ( ( big_f(X1,Y1,X1,Y2)
<=> big_f(Y1,X2,Y1,Y2) )
=> ( big_f(X1,Y1,X1,Y2)
=> ( ( big_f(X1,Y2,Y1,Y2)
=> big_f(X1,Z,Y1,Z) )
& ( big_f(X1,Z,Y1,Z)
=> ( big_f(X1,Y1,X1,Y2)
<=> big_f(X1,Y2,Y1,Y2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_3) ).
tff(c_2,plain,
! [Y1_5,Y2_6] : big_f('#skF_1',Y1_5,'#skF_1',Y2_6),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_10,plain,
! [Y1_5,Y2_6] :
( ~ big_f('#skF_1','#skF_3'(Y1_5,Y2_6),Y1_5,'#skF_3'(Y1_5,Y2_6))
| ~ big_f('#skF_1',Y2_6,Y1_5,Y2_6)
| ~ big_f('#skF_1',Y1_5,'#skF_1',Y2_6) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_38,plain,
! [Y1_12,Y2_13] :
( ~ big_f('#skF_1','#skF_3'(Y1_12,Y2_13),Y1_12,'#skF_3'(Y1_12,Y2_13))
| ~ big_f('#skF_1',Y2_13,Y1_12,Y2_13) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10]) ).
tff(c_42,plain,
! [Y2_13] : ~ big_f('#skF_1',Y2_13,'#skF_1',Y2_13),
inference(resolution,[status(thm)],[c_2,c_38]) ).
tff(c_46,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN351+1 : TPTP v9.0.0. Released v2.0.0.
% 0.07/0.13 % 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
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Apr 9 07:19:49 EDT 2025
% 0.14/0.35 % CPUTime :
% 2.59/1.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.59/1.59
% 2.59/1.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------