%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN079+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 : n006.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 10:02:33 PM UTC 2025
% Result : Theorem 2.70s 1.79s
% Output : CNFRefutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 3 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_f > f > #nlpp > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(b,type,
b: $i ).
tff(f,type,
f: ( $i * $i ) > $i ).
tff(big_f,type,
big_f: ( $i * $i ) > $o ).
tff(c,type,
c: $i ).
tff(f_35,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57) ).
tff(f_26,axiom,
big_f(f(a,b),f(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_1) ).
tff(f_27,axiom,
big_f(f(b,c),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_2) ).
tff(f_33,axiom,
! [X,Y,Z] :
( ( big_f(X,Y)
& big_f(Y,Z) )
=> big_f(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_3) ).
tff(c_8,plain,
~ big_f(f(a,b),f(a,c)),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_2,plain,
big_f(f(a,b),f(b,c)),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_4,plain,
big_f(f(b,c),f(a,c)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_9,plain,
! [X_4,Z_5,Y_6] :
( big_f(X_4,Z_5)
| ~ big_f(Y_6,Z_5)
| ~ big_f(X_4,Y_6) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_16,plain,
! [X_7] :
( big_f(X_7,f(a,c))
| ~ big_f(X_7,f(b,c)) ),
inference(resolution,[status(thm)],[c_4,c_9]) ).
tff(c_19,plain,
big_f(f(a,b),f(a,c)),
inference(resolution,[status(thm)],[c_2,c_16]) ).
tff(c_23,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SYN079+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.11 % 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
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Apr 9 06:56:07 EDT 2025
% 0.10/0.31 % CPUTime :
% 2.70/1.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.70/1.79
% 2.70/1.79 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------