%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN379+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 : n027.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 10:03:24 PM UTC 2025
% Result : Theorem 2.25s 1.51s
% Output : CNFRefutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 10 ( 9 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_q > big_p > #nlpp
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(big_q,type,
big_q: ( $i * $i * $i ) > $o ).
tff(big_p,type,
big_p: $i > $o ).
tff(f_39,negated_conjecture,
~ ( ! [X] : big_p(X)
=> ? [Y] :
( ! [X,Z] : big_q(X,Y,Z)
=> ~ ! [Z] :
( big_p(Z)
& ~ big_q(Y,Y,Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2131) ).
tff(c_2,plain,
! [X_7,Y_2,Z_8] : big_q(X_7,Y_2,Z_8),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_6,plain,
! [Y_2,Z_6] : ~ big_q(Y_2,Y_2,Z_6),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_11,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN379+1 : TPTP v9.0.0. Released v2.0.0.
% 0.10/0.13 % 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
% 0.14/0.34 % Computer : n027.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 07:21:20 EDT 2025
% 0.14/0.34 % CPUTime :
% 2.25/1.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.25/1.52
% 2.25/1.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------