%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:12:31 AM UTC 2026
% Result : Theorem 2.87s 1.61s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 49 ( 26 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 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 : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 16 ( 15 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r1 > p16 > p15 > p14 > p13 > p12 > p11 > #nlpp > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_9 > #skF_8 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p12,type,
p12: $i > $o ).
tff(p15,type,
p15: $i > $o ).
tff(p11,type,
p11: $i > $o ).
tff(p14,type,
p14: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(r1,type,
r1: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(p13,type,
p13: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(p16,type,
p16: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f_111,negated_conjecture,
~ ~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| p16(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p12(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p14(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p12(X) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p15(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p13(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p12(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p11(X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
tff(c_12,plain,
~ p12('#skF_7'),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_16,plain,
r1('#skF_1','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_14,plain,
r1('#skF_6','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_38,plain,
! [X_40,Y_41] :
( p12(X_40)
| ~ r1(Y_41,X_40)
| ~ r1('#skF_1',Y_41) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_48,plain,
( p12('#skF_7')
| ~ r1('#skF_1','#skF_6') ),
inference(resolution,[status(thm)],[c_14,c_38]) ).
tff(c_71,plain,
p12('#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_48]) ).
tff(c_73,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % 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
% 0.09/0.35 % Computer : n027.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 16:09:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 2.87/1.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.87/1.62
% 2.87/1.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------