%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL678+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 : n009.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 11:12:30 AM UTC 2026
% Result : Theorem 2.96s 2.10s
% Output : CNFRefutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 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 : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 12 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r1 > p1 > #nlpp > #skF_2 > #skF_1 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(r1,type,
r1: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(p1,type,
p1: $i > $o ).
tff(f_28,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
tff(f_63,negated_conjecture,
~ ~ ? [X] :
~ ( $false
| ~ ! [Y] :
( ~ r1(X,Y)
| $false
| ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
tff(c_2,plain,
! [X_1] : r1(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_10,plain,
! [Y_16] :
( r1('#skF_2'(Y_16),'#skF_3'(Y_16))
| ~ r1('#skF_1',Y_16) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_27,plain,
! [Y_32,Y_33] :
( p1(Y_32)
| ~ r1('#skF_2'(Y_33),Y_32)
| ~ r1('#skF_1',Y_33) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_42,plain,
! [Y_34] :
( p1('#skF_3'(Y_34))
| ~ r1('#skF_1',Y_34) ),
inference(resolution,[status(thm)],[c_10,c_27]) ).
tff(c_8,plain,
! [Y_16] :
( ~ p1('#skF_3'(Y_16))
| ~ r1('#skF_1',Y_16) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_47,plain,
! [Y_35] : ~ r1('#skF_1',Y_35),
inference(resolution,[status(thm)],[c_42,c_8]) ).
tff(c_52,plain,
$false,
inference(resolution,[status(thm)],[c_2,c_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL678+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
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 23:56:52 UTC 2026
% 0.10/0.36 % CPUTime :
% 2.96/2.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.96/2.10
% 2.96/2.10 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------