%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT053-1 : 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 : n015.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 4.27s 2.52s
% Output : CNFRefutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 96 ( 48 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 42 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ dissimilar > smaller_or_equal > smaller > is_aligned > greater_or_equal > greater > organization > #nlpp > sk3 > 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(sk3,type,
sk3: $i ).
tff(greater_or_equal,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(smaller_or_equal,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(f_176,axiom,
( dissimilar(sk1,sk2,sk3)
| dissimilar(sk1,sk3,sk2) ),
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(f_117,axiom,
! [A,B,C] :
( ~ dissimilar(A,B,C)
| organization(A) ),
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_153,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ is_aligned(A,B)
| is_aligned(A,C)
| dissimilar(A,B,C) ),
file(unknown,unknown) ).
tff(f_189,axiom,
( ~ dissimilar(sk1,sk3,sk2)
| ~ dissimilar(sk1,sk2,sk3) ),
file(unknown,unknown) ).
tff(f_163,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ is_aligned(A,B)
| is_aligned(A,C)
| dissimilar(A,C,B) ),
file(unknown,unknown) ).
tff(c_38,plain,
( dissimilar(sk1,sk3,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_82,plain,
dissimilar(sk1,sk2,sk3),
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_119,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_133]) ).
tff(c_123,plain,
( ~ is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[c_82,c_119]) ).
tff(c_124,plain,
~ is_aligned(sk1,sk2),
inference(splitLeft,[status(thm)],[c_123]) ).
tff(c_24,plain,
! [A_24,B_25,C_26] :
( organization(A_24)
| ~ dissimilar(A_24,B_25,C_26) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_86,plain,
organization(sk1),
inference(resolution,[status(thm)],[c_82,c_24]) ).
tff(c_125,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_124]) ).
tff(c_129,plain,
( is_aligned(sk1,sk3)
| is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[c_82,c_125]) ).
tff(c_130,plain,
is_aligned(sk1,sk3),
inference(negUnitSimplification,[status(thm)],[c_124,c_129]) ).
tff(c_157,plain,
! [A_83,B_84,C_85] :
( dissimilar(A_83,B_84,C_85)
| is_aligned(A_83,C_85)
| ~ is_aligned(A_83,B_84)
| ~ organization(A_83) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_44,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ dissimilar(sk1,sk3,sk2) ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_88,plain,
~ dissimilar(sk1,sk3,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_44]) ).
tff(c_166,plain,
( is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c_157,c_88]) ).
tff(c_174,plain,
is_aligned(sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_130,c_166]) ).
tff(c_176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_174]) ).
tff(c_177,plain,
~ is_aligned(sk1,sk3),
inference(splitRight,[status(thm)],[c_123]) ).
tff(c_178,plain,
is_aligned(sk1,sk2),
inference(splitRight,[status(thm)],[c_123]) ).
tff(c_186,plain,
! [A_89,C_90,B_91] :
( dissimilar(A_89,C_90,B_91)
| is_aligned(A_89,C_90)
| ~ is_aligned(A_89,B_91)
| ~ organization(A_89) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_195,plain,
( is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c_186,c_88]) ).
tff(c_203,plain,
is_aligned(sk1,sk3),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_178,c_195]) ).
tff(c_205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177,c_203]) ).
tff(c_206,plain,
dissimilar(sk1,sk3,sk2),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_244,plain,
! [A_97,C_98,B_99] :
( ~ is_aligned(A_97,C_98)
| ~ is_aligned(A_97,B_99)
| ~ dissimilar(A_97,B_99,C_98) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_248,plain,
( ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3) ),
inference(resolution,[status(thm)],[c_206,c_244]) ).
tff(c_249,plain,
~ is_aligned(sk1,sk3),
inference(splitLeft,[status(thm)],[c_248]) ).
tff(c_211,plain,
organization(sk1),
inference(resolution,[status(thm)],[c_206,c_24]) ).
tff(c_250,plain,
! [A_100,C_101,B_102] :
( is_aligned(A_100,C_101)
| is_aligned(A_100,B_102)
| ~ dissimilar(A_100,B_102,C_101) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_253,plain,
( is_aligned(sk1,sk2)
| is_aligned(sk1,sk3) ),
inference(resolution,[status(thm)],[c_206,c_250]) ).
tff(c_256,plain,
is_aligned(sk1,sk2),
inference(negUnitSimplification,[status(thm)],[c_249,c_253]) ).
tff(c_283,plain,
! [A_109,B_110,C_111] :
( dissimilar(A_109,B_110,C_111)
| is_aligned(A_109,C_111)
| ~ is_aligned(A_109,B_110)
| ~ organization(A_109) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_207,plain,
~ dissimilar(sk1,sk2,sk3),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_292,plain,
( is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c_283,c_207]) ).
tff(c_300,plain,
is_aligned(sk1,sk3),
inference(demodulation,[status(thm),theory(equality)],[c_211,c_256,c_292]) ).
tff(c_302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_249,c_300]) ).
tff(c_303,plain,
~ is_aligned(sk1,sk2),
inference(splitRight,[status(thm)],[c_248]) ).
tff(c_304,plain,
is_aligned(sk1,sk3),
inference(splitRight,[status(thm)],[c_248]) ).
tff(c_312,plain,
! [A_115,C_116,B_117] :
( dissimilar(A_115,C_116,B_117)
| is_aligned(A_115,C_116)
| ~ is_aligned(A_115,B_117)
| ~ organization(A_115) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_321,plain,
( is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c_312,c_207]) ).
tff(c_329,plain,
is_aligned(sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_211,c_304,c_321]) ).
tff(c_331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_303,c_329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT053-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.05 % 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 : n015.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 : Mon Sep 7 13:27:00 UTC 2026
% 0.10/0.36 % CPUTime :
% 4.27/2.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.27/2.53
% 4.27/2.53 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------