%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT052-1 : TPTP v9.3.0. Released v2.4.0.
% 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 : n029.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 : Tue Sep 8 06:03:01 AM UTC 2026
% Result : Unsatisfiable 3.74s 2.30s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ dissimilar > smaller_or_equal > smaller > is_aligned > greater_or_equal > greater > organization > #nlpp > sk2 > sk1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(dissimilar,type,
dissimilar: ( $i * $i * $i ) > $o ).
tff(sk2,type,
sk2: $i ).
tff(organization,type,
organization: $i > $o ).
tff(sk1,type,
sk1: $i ).
tff(is_aligned,type,
is_aligned: ( $i * $i ) > $o ).
tff(smaller,type,
smaller: ( $i * $i ) > $o ).
tff(greater_or_equal,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(smaller_or_equal,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(f_174,axiom,
dissimilar(sk1,sk2,sk2),
file(unknown,unknown) ).
tff(f_124,axiom,
! [A,B,C] :
( ~ dissimilar(A,B,C)
| is_aligned(A,B)
| is_aligned(A,C) ),
file(unknown,unknown) ).
tff(f_133,axiom,
! [A,B,C] :
( ~ dissimilar(A,B,C)
| ~ is_aligned(A,B)
| ~ is_aligned(A,C) ),
file(unknown,unknown) ).
tff(c_38,plain,
dissimilar(sk1,sk2,sk2),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_110,plain,
! [A_71,C_72,B_73] :
( is_aligned(A_71,C_72)
| is_aligned(A_71,B_73)
| ~ dissimilar(A_71,B_73,C_72) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_114,plain,
is_aligned(sk1,sk2),
inference(resolution,[status(thm)],[c_38,c_110]) ).
tff(c_115,plain,
! [A_74,C_75,B_76] :
( ~ is_aligned(A_74,C_75)
| ~ is_aligned(A_74,B_76)
| ~ dissimilar(A_74,B_76,C_75) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_118,plain,
~ is_aligned(sk1,sk2),
inference(resolution,[status(thm)],[c_38,c_115]) ).
tff(c_122,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_114,c_118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT052-1 : TPTP v9.3.0. Released v2.4.0.
% 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
% 0.07/0.35 % Computer : n029.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 7 13:24:42 UTC 2026
% 0.07/0.35 % CPUTime :
% 3.74/2.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.74/2.30
% 3.74/2.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------