%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN380+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 10:03:24 PM UTC 2025
% Result : Theorem 2.44s 1.48s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 2 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 12 ( 10 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_r > big_q > #nlpp > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(big_r,type,
big_r: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(big_q,type,
big_q: ( $i * $i ) > $o ).
tff(f_38,negated_conjecture,
~ ( ! [W] : ~ big_r(W,W)
=> ? [X,Y] :
( ~ big_r(X,Y)
& ( big_q(Y,X)
=> ! [Z] : big_q(Z,Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2132) ).
tff(c_8,plain,
! [Y_6,X_7] :
( big_q(Y_6,X_7)
| big_r(X_7,Y_6) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_2,plain,
! [W_1] : ~ big_r(W_1,W_1),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_13,plain,
! [Y_6] : big_q(Y_6,Y_6),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_4,plain,
! [X_2,Y_3] :
( ~ big_q('#skF_1'(X_2,Y_3),'#skF_1'(X_2,Y_3))
| big_r(X_2,Y_3) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_16,plain,
! [X_2,Y_3] : big_r(X_2,Y_3),
inference(demodulation,[status(thm),theory(equality)],[c_13,c_4]) ).
tff(c_20,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN380+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.12 % 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
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Apr 9 07:21:22 EDT 2025
% 0.12/0.32 % CPUTime :
% 2.44/1.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/1.49
% 2.44/1.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------