%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT005-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 29 12:02:27 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 35
% Syntax : Number of formulae : 118 ( 42 unt; 11 def)
% Number of atoms : 440 ( 18 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 627 ( 305 ~; 311 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 12 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 137 ( 0 sgn 137 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ organization(X0,X2)
| ~ organization(X0,X1)
| ~ greater(X3,X1)
| ~ greater(X2,X3)
| organization(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp13_31) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ reorganization(X0,X1,X2)
| greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp7_32) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ complexity(X2,X8,X1)
| ~ organization(X2,X1)
| ~ organization(X2,X3)
| ~ class(X0,X4,X1)
| ~ class(X2,X4,X1)
| ~ reorganization(X0,X1,X5)
| ~ reorganization(X2,X1,X3)
| ~ reorganization_type(X0,X6,X1)
| ~ reorganization_type(X2,X6,X1)
| ~ complexity(X0,X7,X1)
| ~ organization(X0,X1)
| ~ greater(X8,X7)
| greater(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10_FOL_35) ).
fof(f11,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ complexity(X2,X11,X1)
| ~ organization(X2,X1)
| ~ organization(X0,X3)
| ~ organization(X2,X3)
| ~ class(X0,X4,X1)
| ~ class(X2,X4,X1)
| ~ survival_chance(X0,X5,X1)
| ~ survival_chance(X2,X5,X1)
| ~ reorganization(X0,X1,X3)
| ~ reorganization(X2,X1,X6)
| ~ reorganization_type(X0,X7,X1)
| ~ reorganization_type(X2,X7,X1)
| ~ survival_chance(X0,X8,X3)
| ~ survival_chance(X2,X9,X3)
| ~ complexity(X0,X10,X1)
| ~ organization(X0,X1)
| ~ greater(X11,X10)
| greater(X8,X9)
| X8 = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a11_FOL_36) ).
fof(f17,negated_conjecture,
organization(sk5,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_42) ).
fof(f18,negated_conjecture,
organization(sk6,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_43) ).
fof(f19,negated_conjecture,
organization(sk5,sk17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_44) ).
fof(f20,negated_conjecture,
organization(sk6,sk17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_45) ).
fof(f21,negated_conjecture,
class(sk5,sk8,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_46) ).
fof(f22,negated_conjecture,
class(sk6,sk8,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_47) ).
fof(f23,negated_conjecture,
survival_chance(sk5,sk9,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_48) ).
fof(f24,negated_conjecture,
survival_chance(sk6,sk9,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_49) ).
fof(f25,negated_conjecture,
reorganization(sk5,sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_50) ).
fof(f26,negated_conjecture,
reorganization(sk6,sk15,sk17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_51) ).
fof(f27,negated_conjecture,
reorganization_type(sk5,sk7,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_52) ).
fof(f28,negated_conjecture,
reorganization_type(sk6,sk7,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_53) ).
fof(f30,negated_conjecture,
survival_chance(sk5,sk10,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_55) ).
fof(f31,negated_conjecture,
survival_chance(sk6,sk11,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_56) ).
fof(f32,negated_conjecture,
complexity(sk5,sk12,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_57) ).
fof(f33,negated_conjecture,
complexity(sk6,sk13,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_58) ).
fof(f34,negated_conjecture,
greater(sk13,sk12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_59) ).
fof(f37,negated_conjecture,
sk14 = sk16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_61) ).
fof(f38,plain,
sk16 = sk14,
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
~ greater(sk10,sk11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_62) ).
fof(f40,negated_conjecture,
sk10 != sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL_63) ).
fof(f41,plain,
reorganization(sk5,sk15,sk14),
inference(definition_unfolding,[],[f25,f38]) ).
fof(f45,definition,
( spl0_1
<=> greater(sk10,sk11) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f46,plain,
( ~ greater(sk10,sk11)
| spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f69,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f39,f45]) ).
fof(f74,plain,
greater(sk14,sk15),
inference(resolution,[],[f7,f41]) ).
fof(f83,plain,
! [X0,X1] :
( ~ organization(sk5,X0)
| ~ greater(X1,X0)
| ~ greater(sk17,X1)
| organization(sk5,X1) ),
inference(resolution,[],[f6,f19]) ).
fof(f84,plain,
! [X0,X1] :
( ~ organization(sk6,X0)
| ~ greater(X1,X0)
| ~ greater(sk17,X1)
| organization(sk6,X1) ),
inference(resolution,[],[f6,f20]) ).
fof(f88,definition,
( spl0_7
<=> greater(sk17,sk14) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f89,plain,
( greater(sk17,sk14)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f95,definition,
( spl0_9
<=> organization(sk5,sk14) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f96,plain,
( organization(sk5,sk14)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ organization(sk6,sk15)
| ~ organization(sk6,X0)
| ~ class(X1,X2,sk15)
| ~ class(sk6,X2,sk15)
| ~ reorganization(X1,sk15,X3)
| ~ reorganization(sk6,sk15,X0)
| ~ reorganization_type(X1,X4,sk15)
| ~ reorganization_type(sk6,X4,sk15)
| ~ complexity(X1,X5,sk15)
| ~ organization(X1,sk15)
| ~ greater(sk13,X5)
| greater(X0,X3) ),
inference(resolution,[],[f10,f33]) ).
fof(f122,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ complexity(X1,X5,sk15)
| ~ class(X1,X2,sk15)
| ~ class(sk6,X2,sk15)
| ~ reorganization(X1,sk15,X3)
| ~ reorganization(sk6,sk15,X0)
| ~ reorganization_type(X1,X4,sk15)
| ~ reorganization_type(sk6,X4,sk15)
| ~ organization(sk6,X0)
| ~ organization(X1,sk15)
| ~ greater(sk13,X5)
| greater(X0,X3) ),
inference(forward_subsumption_resolution,[],[f121,f18]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ organization(sk6,sk15)
| ~ organization(X0,X1)
| ~ organization(sk6,X1)
| ~ class(X0,X2,sk15)
| ~ class(sk6,X2,sk15)
| ~ survival_chance(X0,X3,sk15)
| ~ survival_chance(sk6,X3,sk15)
| ~ reorganization(X0,sk15,X1)
| ~ reorganization(sk6,sk15,X4)
| ~ reorganization_type(X0,X5,sk15)
| ~ reorganization_type(sk6,X5,sk15)
| ~ survival_chance(X0,X6,X1)
| ~ survival_chance(sk6,X7,X1)
| ~ complexity(X0,X8,sk15)
| ~ organization(X0,sk15)
| ~ greater(sk13,X8)
| greater(X6,X7)
| X6 = X7 ),
inference(resolution,[],[f11,f33]) ).
fof(f127,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ organization(X0,X1)
| ~ organization(sk6,X1)
| ~ class(X0,X2,sk15)
| ~ class(sk6,X2,sk15)
| ~ survival_chance(X0,X3,sk15)
| ~ survival_chance(sk6,X3,sk15)
| ~ reorganization(X0,sk15,X1)
| ~ reorganization(sk6,sk15,X4)
| ~ reorganization_type(X0,X5,sk15)
| ~ reorganization_type(sk6,X5,sk15)
| ~ survival_chance(X0,X6,X1)
| ~ survival_chance(sk6,X7,X1)
| ~ complexity(X0,X8,sk15)
| ~ organization(X0,sk15)
| ~ greater(sk13,X8)
| greater(X6,X7)
| X6 = X7 ),
inference(forward_subsumption_resolution,[],[f126,f18]) ).
fof(f130,definition,
( spl0_10
<=> ! [X4] : ~ reorganization(sk6,sk15,X4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f131,plain,
( ! [X4] : ~ reorganization(sk6,sk15,X4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,definition,
( spl0_11
<=> ! [X5,X3,X2,X0,X8,X6,X1,X7] :
( ~ organization(X0,X1)
| X6 = X7
| greater(X6,X7)
| ~ greater(sk13,X8)
| ~ organization(X0,sk15)
| ~ complexity(X0,X8,sk15)
| ~ survival_chance(sk6,X7,X1)
| ~ survival_chance(X0,X6,X1)
| ~ reorganization_type(sk6,X5,sk15)
| ~ reorganization_type(X0,X5,sk15)
| ~ reorganization(X0,sk15,X1)
| ~ survival_chance(sk6,X3,sk15)
| ~ survival_chance(X0,X3,sk15)
| ~ class(sk6,X2,sk15)
| ~ class(X0,X2,sk15)
| ~ organization(sk6,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f134,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X5] :
( ~ complexity(X0,X8,sk15)
| X6 = X7
| greater(X6,X7)
| ~ greater(sk13,X8)
| ~ organization(X0,sk15)
| ~ organization(X0,X1)
| ~ survival_chance(sk6,X7,X1)
| ~ survival_chance(X0,X6,X1)
| ~ reorganization_type(sk6,X5,sk15)
| ~ reorganization_type(X0,X5,sk15)
| ~ reorganization(X0,sk15,X1)
| ~ survival_chance(sk6,X3,sk15)
| ~ survival_chance(X0,X3,sk15)
| ~ class(sk6,X2,sk15)
| ~ class(X0,X2,sk15)
| ~ organization(sk6,X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f135,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f127,f133,f130]) ).
fof(f143,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f131,f26]) ).
fof(f144,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f143]) ).
fof(f147,plain,
! [X0] :
( ~ greater(sk17,X0)
| ~ greater(X0,sk15)
| organization(sk5,X0) ),
inference(resolution,[],[f83,f17]) ).
fof(f149,plain,
! [X0] :
( ~ greater(sk17,X0)
| ~ greater(X0,sk15)
| organization(sk6,X0) ),
inference(resolution,[],[f84,f18]) ).
fof(f164,definition,
( spl0_15
<=> organization(sk6,sk14) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f165,plain,
( organization(sk6,sk14)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( ~ class(sk5,X0,sk15)
| ~ class(sk6,X0,sk15)
| ~ reorganization(sk5,sk15,X1)
| ~ reorganization(sk6,sk15,X2)
| ~ reorganization_type(sk5,X3,sk15)
| ~ reorganization_type(sk6,X3,sk15)
| ~ organization(sk6,X2)
| ~ organization(sk5,sk15)
| ~ greater(sk13,sk12)
| greater(X2,X1) ),
inference(resolution,[],[f122,f32]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( ~ class(sk5,X0,sk15)
| ~ class(sk6,X0,sk15)
| ~ reorganization(sk5,sk15,X1)
| ~ reorganization(sk6,sk15,X2)
| ~ reorganization_type(sk5,X3,sk15)
| ~ reorganization_type(sk6,X3,sk15)
| ~ organization(sk6,X2)
| ~ greater(sk13,sk12)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f216,f17]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( ~ class(sk5,X0,sk15)
| ~ class(sk6,X0,sk15)
| ~ reorganization(sk5,sk15,X1)
| ~ reorganization(sk6,sk15,X2)
| ~ reorganization_type(sk5,X3,sk15)
| ~ reorganization_type(sk6,X3,sk15)
| ~ organization(sk6,X2)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f219,f34]) ).
fof(f222,definition,
( spl0_18
<=> ! [X3] :
( ~ reorganization_type(sk5,X3,sk15)
| ~ reorganization_type(sk6,X3,sk15) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f223,plain,
( ! [X3] :
( ~ reorganization_type(sk6,X3,sk15)
| ~ reorganization_type(sk5,X3,sk15) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,definition,
( spl0_19
<=> ! [X2,X1] :
( ~ reorganization(sk5,sk15,X1)
| ~ reorganization(sk6,sk15,X2)
| greater(X2,X1)
| ~ organization(sk6,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f226,plain,
( ! [X2,X1] :
( ~ reorganization(sk6,sk15,X2)
| ~ reorganization(sk5,sk15,X1)
| greater(X2,X1)
| ~ organization(sk6,X2) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,definition,
( spl0_20
<=> ! [X0] :
( ~ class(sk5,X0,sk15)
| ~ class(sk6,X0,sk15) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f229,plain,
( ! [X0] :
( ~ class(sk6,X0,sk15)
| ~ class(sk5,X0,sk15) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f220,f228,f225,f222]) ).
fof(f231,plain,
( ~ reorganization_type(sk5,sk7,sk15)
| ~ spl0_18 ),
inference(resolution,[],[f223,f28]) ).
fof(f232,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f231,f27]) ).
fof(f233,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f237,plain,
( ! [X0] :
( ~ reorganization(sk5,sk15,X0)
| greater(sk17,X0)
| ~ organization(sk6,sk17) )
| ~ spl0_19 ),
inference(resolution,[],[f226,f26]) ).
fof(f238,plain,
( ! [X0] :
( ~ reorganization(sk5,sk15,X0)
| greater(sk17,X0) )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f237,f20]) ).
fof(f239,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| greater(X0,X1)
| ~ greater(sk13,sk12)
| ~ organization(sk5,sk15)
| ~ organization(sk5,X2)
| ~ survival_chance(sk6,X1,X2)
| ~ survival_chance(sk5,X0,X2)
| ~ reorganization_type(sk6,X3,sk15)
| ~ reorganization_type(sk5,X3,sk15)
| ~ reorganization(sk5,sk15,X2)
| ~ survival_chance(sk6,X4,sk15)
| ~ survival_chance(sk5,X4,sk15)
| ~ class(sk6,X5,sk15)
| ~ class(sk5,X5,sk15)
| ~ organization(sk6,X2) )
| ~ spl0_11 ),
inference(resolution,[],[f134,f32]) ).
fof(f242,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| greater(X0,X1)
| ~ organization(sk5,sk15)
| ~ organization(sk5,X2)
| ~ survival_chance(sk6,X1,X2)
| ~ survival_chance(sk5,X0,X2)
| ~ reorganization_type(sk6,X3,sk15)
| ~ reorganization_type(sk5,X3,sk15)
| ~ reorganization(sk5,sk15,X2)
| ~ survival_chance(sk6,X4,sk15)
| ~ survival_chance(sk5,X4,sk15)
| ~ class(sk6,X5,sk15)
| ~ class(sk5,X5,sk15)
| ~ organization(sk6,X2) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f239,f34]) ).
fof(f243,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| greater(X0,X1)
| ~ organization(sk5,X2)
| ~ survival_chance(sk6,X1,X2)
| ~ survival_chance(sk5,X0,X2)
| ~ reorganization_type(sk6,X3,sk15)
| ~ reorganization_type(sk5,X3,sk15)
| ~ reorganization(sk5,sk15,X2)
| ~ survival_chance(sk6,X4,sk15)
| ~ survival_chance(sk5,X4,sk15)
| ~ class(sk6,X5,sk15)
| ~ class(sk5,X5,sk15)
| ~ organization(sk6,X2) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f242,f17]) ).
fof(f245,definition,
( spl0_21
<=> ! [X4] :
( ~ survival_chance(sk6,X4,sk15)
| ~ survival_chance(sk5,X4,sk15) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f246,plain,
( ! [X4] :
( ~ survival_chance(sk6,X4,sk15)
| ~ survival_chance(sk5,X4,sk15) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,definition,
( spl0_22
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ organization(sk6,X2)
| ~ reorganization(sk5,sk15,X2)
| ~ survival_chance(sk5,X0,X2)
| ~ survival_chance(sk6,X1,X2)
| ~ organization(sk5,X2)
| greater(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f249,plain,
( ! [X2,X0,X1] :
( ~ reorganization(sk5,sk15,X2)
| ~ organization(sk6,X2)
| X0 = X1
| ~ survival_chance(sk5,X0,X2)
| ~ survival_chance(sk6,X1,X2)
| ~ organization(sk5,X2)
| greater(X0,X1) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f250,plain,
( spl0_20
| spl0_21
| spl0_18
| spl0_22
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f243,f133,f248,f222,f245,f228]) ).
fof(f251,plain,
( greater(sk17,sk14)
| ~ spl0_19 ),
inference(resolution,[],[f238,f41]) ).
fof(f254,plain,
( spl0_7
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f251,f225,f88]) ).
fof(f255,plain,
( ~ greater(sk14,sk15)
| organization(sk6,sk14)
| ~ spl0_7 ),
inference(resolution,[],[f89,f149]) ).
fof(f256,plain,
( ~ greater(sk14,sk15)
| organization(sk5,sk14)
| ~ spl0_7 ),
inference(resolution,[],[f89,f147]) ).
fof(f261,plain,
( organization(sk5,sk14)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f256,f74]) ).
fof(f262,plain,
( organization(sk6,sk14)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f255,f74]) ).
fof(f270,plain,
( ~ class(sk5,sk8,sk15)
| ~ spl0_20 ),
inference(resolution,[],[f229,f22]) ).
fof(f271,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f270,f21]) ).
fof(f272,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f273,plain,
( spl0_9
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f261,f88,f95]) ).
fof(f274,plain,
( spl0_15
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f262,f88,f164]) ).
fof(f306,plain,
( ~ survival_chance(sk5,sk9,sk15)
| ~ spl0_21 ),
inference(resolution,[],[f246,f24]) ).
fof(f307,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f306,f23]) ).
fof(f308,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f426,plain,
( ! [X0,X1] :
( ~ organization(sk6,sk14)
| X0 = X1
| ~ survival_chance(sk5,X0,sk14)
| ~ survival_chance(sk6,X1,sk14)
| ~ organization(sk5,sk14)
| greater(X0,X1) )
| ~ spl0_22 ),
inference(resolution,[],[f249,f41]) ).
fof(f427,plain,
( ! [X0,X1] :
( X0 = X1
| ~ survival_chance(sk5,X0,sk14)
| ~ survival_chance(sk6,X1,sk14)
| ~ organization(sk5,sk14)
| greater(X0,X1) )
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f426,f165]) ).
fof(f428,plain,
( ! [X0,X1] :
( ~ survival_chance(sk6,X1,sk14)
| ~ survival_chance(sk5,X0,sk14)
| X0 = X1
| greater(X0,X1) )
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f427,f96]) ).
fof(f571,plain,
( ! [X0] :
( ~ survival_chance(sk5,X0,sk14)
| sk11 = X0
| greater(X0,sk11) )
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(resolution,[],[f428,f31]) ).
fof(f579,plain,
( sk10 = sk11
| greater(sk10,sk11)
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(resolution,[],[f571,f30]) ).
fof(f580,plain,
( greater(sk10,sk11)
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f579,f40]) ).
fof(f582,plain,
( $false
| spl0_1
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f580,f46]) ).
fof(f583,plain,
( spl0_1
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f582]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f69]) ).
cnf(s6,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f135]) ).
cnf(s8,plain,
~ spl0_10,
inference(sat_conversion,[],[f144]) ).
cnf(s12,plain,
( spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f230]) ).
cnf(s13,plain,
~ spl0_18,
inference(sat_conversion,[],[f233]) ).
cnf(s14,plain,
( ~ spl0_11
| spl0_18
| spl0_20
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f250]) ).
cnf(s16,plain,
( spl0_7
| ~ spl0_19 ),
inference(sat_conversion,[],[f254]) ).
cnf(s20,plain,
~ spl0_20,
inference(sat_conversion,[],[f272]) ).
cnf(s21,plain,
( ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f273]) ).
cnf(s22,plain,
( ~ spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f274]) ).
cnf(s29,plain,
~ spl0_21,
inference(sat_conversion,[],[f308]) ).
cnf(s36,plain,
( spl0_1
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(sat_conversion,[],[f583]) ).
cnf(s38,plain,
( ~ spl0_11
| spl0_18
| spl0_22 ),
inference(rat,[],[s14,s29,s20]) ).
cnf(s39,plain,
spl0_19,
inference(rat,[],[s12,s20,s13]) ).
cnf(s40,plain,
spl0_7,
inference(rat,[],[s16,s39]) ).
cnf(s41,plain,
spl0_15,
inference(rat,[],[s22,s40]) ).
cnf(s42,plain,
spl0_9,
inference(rat,[],[s21,s40]) ).
cnf(s48,plain,
spl0_11,
inference(rat,[],[s6,s8]) ).
cnf(s49,plain,
spl0_22,
inference(rat,[],[s38,s13,s48]) ).
cnf(s50,plain,
spl0_1,
inference(rat,[],[s36,s42,s41,s49]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s3,s50]) ).
fof(f593,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT005-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 17:15:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.49 % (34226)Will run a generic schedule for satisfiability detection.
% 0.16/0.49 % (34231)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1053085931_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.49 % TRYING [1]
% 0.16/0.49 % TRYING [2]
% 0.16/0.49 % (34232)% WARNING: option uhcvi not known.
% 0.16/0.49 % (34232)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2549500767:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.49 % (34233)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=882980205:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.49 % (34234)dis+10_1_sil=32000:sp=arity:random_seed=2627121554:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.49 % (34235)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=930251685:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.49 % (34236)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=156846212:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.49 % (34237)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3731328980:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.49 % TRYING [3]
% 0.16/0.49 % (34234) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-34226-34234"...
% 0.16/0.49 % (34234)...printing done.
% 0.16/0.49 % (34234)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (34234)------------------------------
% 0.16/0.49 % (34234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.49 % (34234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.49 % (34234)CaDiCaL version: 2.1.3
% 0.16/0.49 % (34234)Termination reason: Refutation
% 0.16/0.49 % (34234)Time elapsed: 0.031 s
% 0.16/0.49 % (34234)Peak memory usage: 12 MB
% 0.16/0.49 % (34234)Instructions burned: 49 (million)
% 0.16/0.49 % (34226)Success in time 0.07 s
% 0.16/0.49 % Vampire exiting
%------------------------------------------------------------------------------