%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN331+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 : 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 10:03:13 PM UTC 2025
% Result : Theorem 2.50s 1.59s
% Output : CNFRefutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 13 ( 3 ~; 5 |; 0 &)
% ( 1 <=>; 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 : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 14 ( 12 !; 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_42,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y,Z)
=> ( ( big_f(X,Y)
<=> big_f(Z,Z) )
=> ( ( big_f(Y,X)
| big_f(Z,Z) )
=> ( big_f(Z,X)
| big_f(Z,Y) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_3) ).
tff(c_20,plain,
! [X_14,Y_15] :
( big_f('#skF_1'(X_14,Y_15),'#skF_1'(X_14,Y_15))
| big_f(Y_15,X_14) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_8,plain,
! [X_1,Y_2] :
( big_f(X_1,Y_2)
| ~ big_f('#skF_1'(X_1,Y_2),'#skF_1'(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_24,plain,
! [X_14,Y_15] :
( big_f(X_14,Y_15)
| big_f(Y_15,X_14) ),
inference(resolution,[status(thm)],[c_20,c_8]) ).
tff(c_37,plain,
! [X_14] : big_f(X_14,X_14),
inference(factorization,[status(thm),theory(equality)],[c_24]) ).
tff(c_68,plain,
! [X_1,Y_2] : big_f(X_1,Y_2),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_8]) ).
tff(c_4,plain,
! [X_1,Y_2] : ~ big_f('#skF_1'(X_1,Y_2),X_1),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_80,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN331+1 : TPTP v9.0.0. Released v2.0.0.
% 0.11/0.12 % 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
% 0.12/0.33 % 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 07:18:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 2.50/1.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.50/1.59
% 2.50/1.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------