%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT003-1 : 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 : n008.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 06:02:47 AM UTC 2026
% Result : Unsatisfiable 4.02s 2.40s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 216 ( 111 ~; 105 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 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 : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 81 ( 81 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ survival_chance > reorganization_free > inertia > organization > greater > sk1 > #nlpp > sk6 > sk5 > sk4 > sk3 > sk2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(reorganization_free,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(sk2,type,
sk2: $i ).
tff(sk6,type,
sk6: $i ).
tff(inertia,type,
inertia: ( $i * $i * $i ) > $o ).
tff(survival_chance,type,
survival_chance: ( $i * $i * $i ) > $o ).
tff(sk4,type,
sk4: $i ).
tff(sk5,type,
sk5: $i ).
tff(sk3,type,
sk3: $i ).
tff(organization,type,
organization: ( $i * $i ) > $o ).
tff(sk1,type,
sk1: ( $i * $i ) > $i ).
tff(f_88,axiom,
organization(sk2,sk5),
file(unknown,unknown) ).
tff(f_90,axiom,
reorganization_free(sk2,sk5,sk6),
file(unknown,unknown) ).
tff(f_93,axiom,
greater(sk6,sk5),
file(unknown,unknown) ).
tff(f_38,axiom,
! [A,B] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
file(unknown,unknown) ).
tff(f_89,axiom,
organization(sk2,sk6),
file(unknown,unknown) ).
tff(f_95,axiom,
~ greater(sk4,sk3),
file(unknown,unknown) ).
tff(f_28,axiom,
! [A,B,C] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) ),
file(unknown,unknown) ).
tff(f_91,axiom,
survival_chance(sk2,sk3,sk5),
file(unknown,unknown) ).
tff(f_33,axiom,
! [A,B,C] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) ),
file(unknown,unknown) ).
tff(f_92,axiom,
survival_chance(sk2,sk4,sk6),
file(unknown,unknown) ).
tff(f_87,axiom,
! [A,B,C,E,D] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B)
| greater(E,D) ),
file(unknown,unknown) ).
tff(f_67,axiom,
! [H,A,F,G,B,C,E,D] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B)
| ~ survival_chance(C,H,D)
| ~ greater(F,E)
| greater(H,G) ),
file(unknown,unknown) ).
tff(c_12,plain,
organization(sk2,sk5),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_16,plain,
reorganization_free(sk2,sk5,sk6),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_22,plain,
greater(sk6,sk5),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_6,plain,
! [A_7,B_8] :
( inertia(A_7,sk1(B_8,A_7),B_8)
| ~ organization(A_7,B_8) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_14,plain,
organization(sk2,sk6),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_24,plain,
~ greater(sk4,sk3),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_33,plain,
! [A_25,B_26,C_27] :
( reorganization_free(A_25,B_26,B_26)
| ~ reorganization_free(A_25,B_26,C_27) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_40,plain,
reorganization_free(sk2,sk5,sk5),
inference(resolution,[status(thm)],[c_16,c_33]) ).
tff(c_18,plain,
survival_chance(sk2,sk3,sk5),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_25,plain,
! [A_22,C_23,B_24] :
( reorganization_free(A_22,C_23,C_23)
| ~ reorganization_free(A_22,B_24,C_23) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_28,plain,
reorganization_free(sk2,sk6,sk6),
inference(resolution,[status(thm)],[c_16,c_25]) ).
tff(c_20,plain,
survival_chance(sk2,sk4,sk6),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_50,plain,
! [E_33,C_30,A_31,B_32,D_34] :
( greater(E_33,D_34)
| ~ greater(C_30,B_32)
| ~ inertia(A_31,E_33,C_30)
| ~ inertia(A_31,D_34,B_32)
| ~ reorganization_free(A_31,B_32,C_30)
| ~ organization(A_31,C_30)
| ~ organization(A_31,B_32) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_54,plain,
! [B_35,A_36,D_37,B_38] :
( greater(sk1(B_35,A_36),D_37)
| ~ greater(B_35,B_38)
| ~ inertia(A_36,D_37,B_38)
| ~ reorganization_free(A_36,B_38,B_35)
| ~ organization(A_36,B_38)
| ~ organization(A_36,B_35) ),
inference(resolution,[status(thm)],[c_6,c_50]) ).
tff(c_57,plain,
! [B_35,A_7,B_8] :
( greater(sk1(B_35,A_7),sk1(B_8,A_7))
| ~ greater(B_35,B_8)
| ~ reorganization_free(A_7,B_8,B_35)
| ~ organization(A_7,B_35)
| ~ organization(A_7,B_8) ),
inference(resolution,[status(thm)],[c_6,c_54]) ).
tff(c_59,plain,
! [C_46,B_43,F_49,A_48,E_47,D_42,G_44,H_45] :
( greater(H_45,G_44)
| ~ greater(F_49,E_47)
| ~ survival_chance(C_46,H_45,D_42)
| ~ survival_chance(A_48,G_44,B_43)
| ~ inertia(C_46,F_49,D_42)
| ~ inertia(A_48,E_47,B_43)
| ~ reorganization_free(C_46,D_42,D_42)
| ~ reorganization_free(A_48,B_43,B_43)
| ~ organization(C_46,D_42)
| ~ organization(A_48,B_43) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_78,plain,
! [B_63,A_57,A_60,B_56,H_61,D_64,G_62,B_58,C_59] :
( greater(H_61,G_62)
| ~ survival_chance(C_59,H_61,D_64)
| ~ survival_chance(A_57,G_62,B_56)
| ~ inertia(C_59,sk1(B_63,A_60),D_64)
| ~ inertia(A_57,sk1(B_58,A_60),B_56)
| ~ reorganization_free(C_59,D_64,D_64)
| ~ reorganization_free(A_57,B_56,B_56)
| ~ organization(C_59,D_64)
| ~ organization(A_57,B_56)
| ~ greater(B_63,B_58)
| ~ reorganization_free(A_60,B_58,B_63)
| ~ organization(A_60,B_63)
| ~ organization(A_60,B_58) ),
inference(resolution,[status(thm)],[c_57,c_59]) ).
tff(c_80,plain,
! [B_63,A_57,A_60,B_56,G_62,B_58] :
( greater(sk4,G_62)
| ~ survival_chance(A_57,G_62,B_56)
| ~ inertia(sk2,sk1(B_63,A_60),sk6)
| ~ inertia(A_57,sk1(B_58,A_60),B_56)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ reorganization_free(A_57,B_56,B_56)
| ~ organization(sk2,sk6)
| ~ organization(A_57,B_56)
| ~ greater(B_63,B_58)
| ~ reorganization_free(A_60,B_58,B_63)
| ~ organization(A_60,B_63)
| ~ organization(A_60,B_58) ),
inference(resolution,[status(thm)],[c_20,c_78]) ).
tff(c_109,plain,
! [B_77,B_75,B_74,G_76,A_78,A_79] :
( greater(sk4,G_76)
| ~ survival_chance(A_79,G_76,B_74)
| ~ inertia(sk2,sk1(B_77,A_78),sk6)
| ~ inertia(A_79,sk1(B_75,A_78),B_74)
| ~ reorganization_free(A_79,B_74,B_74)
| ~ organization(A_79,B_74)
| ~ greater(B_77,B_75)
| ~ reorganization_free(A_78,B_75,B_77)
| ~ organization(A_78,B_77)
| ~ organization(A_78,B_75) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_28,c_80]) ).
tff(c_113,plain,
! [B_77,A_78,B_75] :
( greater(sk4,sk3)
| ~ inertia(sk2,sk1(B_77,A_78),sk6)
| ~ inertia(sk2,sk1(B_75,A_78),sk5)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ organization(sk2,sk5)
| ~ greater(B_77,B_75)
| ~ reorganization_free(A_78,B_75,B_77)
| ~ organization(A_78,B_77)
| ~ organization(A_78,B_75) ),
inference(resolution,[status(thm)],[c_18,c_109]) ).
tff(c_119,plain,
! [B_77,A_78,B_75] :
( greater(sk4,sk3)
| ~ inertia(sk2,sk1(B_77,A_78),sk6)
| ~ inertia(sk2,sk1(B_75,A_78),sk5)
| ~ greater(B_77,B_75)
| ~ reorganization_free(A_78,B_75,B_77)
| ~ organization(A_78,B_77)
| ~ organization(A_78,B_75) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_40,c_113]) ).
tff(c_130,plain,
! [B_81,A_82,B_83] :
( ~ inertia(sk2,sk1(B_81,A_82),sk6)
| ~ inertia(sk2,sk1(B_83,A_82),sk5)
| ~ greater(B_81,B_83)
| ~ reorganization_free(A_82,B_83,B_81)
| ~ organization(A_82,B_81)
| ~ organization(A_82,B_83) ),
inference(negUnitSimplification,[status(thm)],[c_24,c_119]) ).
tff(c_133,plain,
! [B_83] :
( ~ inertia(sk2,sk1(B_83,sk2),sk5)
| ~ greater(sk6,B_83)
| ~ reorganization_free(sk2,B_83,sk6)
| ~ organization(sk2,B_83)
| ~ organization(sk2,sk6) ),
inference(resolution,[status(thm)],[c_6,c_130]) ).
tff(c_137,plain,
! [B_84] :
( ~ inertia(sk2,sk1(B_84,sk2),sk5)
| ~ greater(sk6,B_84)
| ~ reorganization_free(sk2,B_84,sk6)
| ~ organization(sk2,B_84) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_133]) ).
tff(c_141,plain,
( ~ greater(sk6,sk5)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ organization(sk2,sk5) ),
inference(resolution,[status(thm)],[c_6,c_137]) ).
tff(c_145,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_16,c_22,c_141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT003-1 : 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
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 7 11:36:08 UTC 2026
% 0.14/0.36 % CPUTime :
% 4.02/2.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.02/2.42
% 4.02/2.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------