%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN350+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 : n018.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 2.53s 1.69s
% Output : CNFRefutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 19 ( 9 ~; 5 |; 1 &)
% ( 2 <=>; 2 =>; 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 : 15 ( 13 !; 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_39,negated_conjecture,
~ ! [X] :
? [Y1,Y2] :
! [Z] :
( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( big_f(X,Z)
<=> ( big_f(Y2,Z)
& ( big_f(Y1,Z)
=> big_f(Y1,Y2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_18_2) ).
tff(c_18,plain,
! [Y1_5,Y2_6] :
( big_f('#skF_1','#skF_2'(Y1_5,Y2_6))
| big_f(Y2_6,'#skF_2'(Y1_5,Y2_6)) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_35,plain,
! [Y1_5] : big_f('#skF_1','#skF_2'(Y1_5,'#skF_1')),
inference(factorization,[status(thm),theory(equality)],[c_18]) ).
tff(c_46,plain,
! [Y1_15,Y2_16] :
( ~ big_f(Y1_15,Y2_16)
| ~ big_f(Y2_16,'#skF_2'(Y1_15,Y2_16))
| ~ big_f('#skF_1','#skF_2'(Y1_15,Y2_16)) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_48,plain,
! [Y1_5] :
( ~ big_f(Y1_5,'#skF_1')
| ~ big_f('#skF_1','#skF_2'(Y1_5,'#skF_1')) ),
inference(resolution,[status(thm)],[c_35,c_46]) ).
tff(c_54,plain,
! [Y1_5] : ~ big_f(Y1_5,'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_35,c_48]) ).
tff(c_4,plain,
! [Y1_5,Y2_6] :
( big_f('#skF_2'(Y1_5,Y2_6),'#skF_1')
| ~ big_f('#skF_1','#skF_2'(Y1_5,Y2_6)) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_56,plain,
! [Y1_5,Y2_6] : ~ big_f('#skF_1','#skF_2'(Y1_5,Y2_6)),
inference(negUnitSimplification,[status(thm)],[c_54,c_4]) ).
tff(c_60,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN350+1 : TPTP v9.0.0. Released v2.0.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n018.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 07:19:47 EDT 2025
% 0.13/0.35 % CPUTime :
% 2.53/1.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.53/1.69
% 2.53/1.69 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------