%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN332+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 : n016.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 10:03:13 PM UTC 2025
% Result : Theorem 3.03s 1.70s
% Output : CNFRefutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 22 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 56 ( 21 ~; 23 |; 1 &)
% ( 5 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 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; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 38 ( 36 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_f > #nlpp > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(big_f,type,
big_f: ( $i * $i ) > $o ).
tff(f_52,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( ( ( big_f(X,Y)
& big_f(Y,X) )
<~> big_f(X,Z) )
=> ( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( ( big_f(X,Z)
<=> big_f(Y,Z) )
=> ( ( ( big_f(Y,X)
=> big_f(X,Y) )
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
<=> big_f(Z,Y) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_4) ).
tff(c_56,plain,
! [X_1,Y_2] :
( big_f(X_1,Y_2)
| big_f(X_1,'#skF_1'(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_67,plain,
! [Y_16,X_17] :
( big_f(Y_16,'#skF_1'(X_17,Y_16))
| ~ big_f(X_17,'#skF_1'(X_17,Y_16)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_73,plain,
! [Y_2,X_1] :
( big_f(Y_2,'#skF_1'(X_1,Y_2))
| big_f(X_1,Y_2) ),
inference(resolution,[status(thm)],[c_56,c_67]) ).
tff(c_10,plain,
! [X_1,Y_2] :
( big_f('#skF_1'(X_1,Y_2),X_1)
| ~ big_f(X_1,'#skF_1'(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_162,plain,
! [X_35,Y_36] :
( ~ big_f('#skF_1'(X_35,Y_36),Y_36)
| big_f(X_35,Y_36)
| big_f(Y_36,X_35) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_176,plain,
! [X_37] :
( big_f(X_37,X_37)
| ~ big_f(X_37,'#skF_1'(X_37,X_37)) ),
inference(resolution,[status(thm)],[c_10,c_162]) ).
tff(c_195,plain,
! [X_1] : big_f(X_1,X_1),
inference(resolution,[status(thm)],[c_73,c_176]) ).
tff(c_54,plain,
! [Y_2,X_1] :
( big_f(Y_2,X_1)
| big_f(X_1,'#skF_1'(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_72,plain,
! [Y_2,X_1] :
( big_f(Y_2,'#skF_1'(X_1,Y_2))
| big_f(Y_2,X_1) ),
inference(resolution,[status(thm)],[c_54,c_67]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( big_f(X_1,Y_2)
| ~ big_f(Y_2,X_1)
| ~ big_f('#skF_1'(X_1,Y_2),'#skF_1'(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_256,plain,
! [X_42,Y_43] :
( big_f(X_42,Y_43)
| ~ big_f(Y_43,X_42) ),
inference(demodulation,[status(thm),theory(equality)],[c_195,c_2]) ).
tff(c_307,plain,
! [X_48,Y_49] :
( big_f('#skF_1'(X_48,Y_49),Y_49)
| big_f(Y_49,X_48) ),
inference(resolution,[status(thm)],[c_72,c_256]) ).
tff(c_30,plain,
! [X_1,Y_2] :
( ~ big_f('#skF_1'(X_1,Y_2),Y_2)
| big_f(X_1,Y_2)
| big_f(Y_2,X_1) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_335,plain,
! [X_50,Y_51] :
( big_f(X_50,Y_51)
| big_f(Y_51,X_50) ),
inference(resolution,[status(thm)],[c_307,c_30]) ).
tff(c_12,plain,
! [X_1,Y_2] :
( ~ big_f('#skF_1'(X_1,Y_2),Y_2)
| ~ big_f(Y_2,X_1)
| ~ big_f(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_364,plain,
! [Y_52,X_53] :
( ~ big_f(Y_52,X_53)
| ~ big_f(X_53,Y_52)
| big_f(Y_52,'#skF_1'(X_53,Y_52)) ),
inference(resolution,[status(thm)],[c_335,c_12]) ).
tff(c_115,plain,
! [X_28,Y_29] :
( ~ big_f('#skF_1'(X_28,Y_29),Y_29)
| ~ big_f(Y_29,X_28)
| ~ big_f(X_28,Y_29) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_120,plain,
! [X_1] :
( ~ big_f(X_1,X_1)
| ~ big_f(X_1,'#skF_1'(X_1,X_1)) ),
inference(resolution,[status(thm)],[c_10,c_115]) ).
tff(c_199,plain,
! [X_1] : ~ big_f(X_1,'#skF_1'(X_1,X_1)),
inference(demodulation,[status(thm),theory(equality)],[c_195,c_120]) ).
tff(c_370,plain,
! [X_53] : ~ big_f(X_53,X_53),
inference(resolution,[status(thm)],[c_364,c_199]) ).
tff(c_384,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_195,c_370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN332+1 : TPTP v9.0.0. Released v2.0.0.
% 0.00/0.09 % 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
% 0.09/0.28 % Computer : n016.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Wed Apr 9 07:18:23 EDT 2025
% 0.09/0.28 % CPUTime :
% 3.03/1.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.03/1.71
% 3.03/1.71 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------