%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT005-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 29 12:02:26 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 41
% Syntax : Number of formulae : 153 ( 40 unt; 12 def)
% Number of atoms : 624 ( 24 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 907 ( 436 ~; 459 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 13 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-2 aty)
% Number of variables : 192 ( 0 sgn 192 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1_26) ).
fof(f2,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_27) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp11_28) ).
fof(f4,axiom,
! [X0,X1] :
( survival_chance(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp12_29) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ organization(X0,X2)
| ~ organization(X0,X1)
| ~ greater(X3,X1)
| ~ greater(X2,X3)
| organization(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp13_30) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ reorganization(X0,X1,X2)
| greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp7_31) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1)
| ~ survival_chance(X0,X3,X1)
| ~ survival_chance(X0,X4,X2)
| ~ greater(X2,X1)
| greater(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL_32) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ reorganization(X0,X3,X4)
| ~ organization(X0,X2)
| ~ organization(X0,X1)
| ~ survival_chance(X0,X5,X1)
| ~ survival_chance(X0,X6,X2)
| greater(X3,X1)
| ~ greater(X2,X1)
| greater(X2,X4)
| greater(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_33) ).
fof(f9,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/sandbox2/benchmark/theBenchmark.p',a10_FOL_34) ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p',a11_FOL_35) ).
fof(f11,negated_conjecture,
organization(sk2,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_36) ).
fof(f12,negated_conjecture,
organization(sk3,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_37) ).
fof(f13,negated_conjecture,
organization(sk2,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_38) ).
fof(f14,negated_conjecture,
organization(sk3,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_39) ).
fof(f15,negated_conjecture,
class(sk2,sk5,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_40) ).
fof(f16,negated_conjecture,
class(sk3,sk5,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_41) ).
fof(f17,negated_conjecture,
survival_chance(sk2,sk6,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_42) ).
fof(f18,negated_conjecture,
survival_chance(sk3,sk6,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_43) ).
fof(f19,negated_conjecture,
reorganization(sk2,sk11,sk12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_44) ).
fof(f20,negated_conjecture,
reorganization(sk3,sk11,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_45) ).
fof(f21,negated_conjecture,
reorganization_type(sk2,sk4,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_46) ).
fof(f22,negated_conjecture,
reorganization_type(sk3,sk4,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_47) ).
fof(f23,negated_conjecture,
reorganization_free(sk2,sk12,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_48) ).
fof(f24,negated_conjecture,
survival_chance(sk2,sk7,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_49) ).
fof(f25,negated_conjecture,
survival_chance(sk3,sk8,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_50) ).
fof(f26,negated_conjecture,
complexity(sk2,sk9,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_51) ).
fof(f27,negated_conjecture,
complexity(sk3,sk10,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_52) ).
fof(f28,negated_conjecture,
greater(sk10,sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_53) ).
fof(f29,negated_conjecture,
~ greater(sk7,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_54) ).
fof(f30,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f1]) ).
fof(f32,plain,
greater(sk12,sk11),
inference(resolution,[],[f6,f19]) ).
fof(f36,plain,
~ greater(sk11,sk12),
inference(resolution,[],[f32,f2]) ).
fof(f41,plain,
! [X0,X1] :
( ~ organization(sk2,X0)
| ~ greater(X1,X0)
| ~ greater(sk13,X1)
| organization(sk2,X1) ),
inference(resolution,[],[f5,f13]) ).
fof(f42,plain,
! [X0,X1] :
( ~ organization(sk3,X0)
| ~ greater(X1,X0)
| ~ greater(sk13,X1)
| organization(sk3,X1) ),
inference(resolution,[],[f5,f14]) ).
fof(f43,plain,
! [X0,X1] :
( ~ organization(sk2,sk13)
| ~ organization(sk2,sk12)
| ~ survival_chance(sk2,X0,sk12)
| ~ survival_chance(sk2,X1,sk13)
| ~ greater(sk13,sk12)
| greater(X1,X0) ),
inference(resolution,[],[f7,f23]) ).
fof(f44,plain,
! [X0,X1] :
( ~ organization(sk2,sk12)
| ~ survival_chance(sk2,X0,sk12)
| ~ survival_chance(sk2,X1,sk13)
| ~ greater(sk13,sk12)
| greater(X1,X0) ),
inference(forward_subsumption_resolution,[],[f43,f13]) ).
fof(f46,definition,
( spl0_1
<=> greater(sk13,sk12) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f47,plain,
( greater(sk13,sk12)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f50,definition,
( spl0_2
<=> ! [X0,X1] :
( ~ survival_chance(sk2,X0,sk12)
| ~ survival_chance(sk2,X1,sk13)
| greater(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f51,plain,
( ! [X0,X1] :
( ~ survival_chance(sk2,X1,sk13)
| ~ survival_chance(sk2,X0,sk12)
| greater(X1,X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,definition,
( spl0_3
<=> organization(sk2,sk12) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f54,plain,
( organization(sk2,sk12)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f44,f53,f50,f46]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ survival_chance(sk3,X3,X0)
| ~ organization(sk3,X1)
| ~ survival_chance(sk3,X2,X1)
| ~ organization(sk3,X0)
| greater(sk11,X1)
| ~ greater(X0,X1)
| greater(X0,sk13)
| greater(X2,X3) ),
inference(resolution,[],[f8,f20]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ organization(sk3,sk11)
| ~ organization(sk3,X0)
| ~ class(X1,X2,sk11)
| ~ class(sk3,X2,sk11)
| ~ reorganization(X1,sk11,X3)
| ~ reorganization(sk3,sk11,X0)
| ~ reorganization_type(X1,X4,sk11)
| ~ reorganization_type(sk3,X4,sk11)
| ~ complexity(X1,X5,sk11)
| ~ organization(X1,sk11)
| ~ greater(sk10,X5)
| greater(X0,X3) ),
inference(resolution,[],[f9,f27]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ complexity(X1,X5,sk11)
| ~ class(X1,X2,sk11)
| ~ class(sk3,X2,sk11)
| ~ reorganization(X1,sk11,X3)
| ~ reorganization(sk3,sk11,X0)
| ~ reorganization_type(X1,X4,sk11)
| ~ reorganization_type(sk3,X4,sk11)
| ~ organization(sk3,X0)
| ~ organization(X1,sk11)
| ~ greater(sk10,X5)
| greater(X0,X3) ),
inference(forward_subsumption_resolution,[],[f60,f12]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ organization(sk3,sk11)
| ~ organization(X0,X1)
| ~ organization(sk3,X1)
| ~ class(X0,X2,sk11)
| ~ class(sk3,X2,sk11)
| ~ survival_chance(X0,X3,sk11)
| ~ survival_chance(sk3,X3,sk11)
| ~ reorganization(X0,sk11,X1)
| ~ reorganization(sk3,sk11,X4)
| ~ reorganization_type(X0,X5,sk11)
| ~ reorganization_type(sk3,X5,sk11)
| ~ survival_chance(X0,X6,X1)
| ~ survival_chance(sk3,X7,X1)
| ~ complexity(X0,X8,sk11)
| ~ organization(X0,sk11)
| ~ greater(sk10,X8)
| greater(X6,X7)
| X6 = X7 ),
inference(resolution,[],[f10,f27]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ organization(X0,X1)
| ~ organization(sk3,X1)
| ~ class(X0,X2,sk11)
| ~ class(sk3,X2,sk11)
| ~ survival_chance(X0,X3,sk11)
| ~ survival_chance(sk3,X3,sk11)
| ~ reorganization(X0,sk11,X1)
| ~ reorganization(sk3,sk11,X4)
| ~ reorganization_type(X0,X5,sk11)
| ~ reorganization_type(sk3,X5,sk11)
| ~ survival_chance(X0,X6,X1)
| ~ survival_chance(sk3,X7,X1)
| ~ complexity(X0,X8,sk11)
| ~ organization(X0,sk11)
| ~ greater(sk10,X8)
| greater(X6,X7)
| X6 = X7 ),
inference(forward_subsumption_resolution,[],[f64,f12]) ).
fof(f68,definition,
( spl0_4
<=> ! [X4] : ~ reorganization(sk3,sk11,X4) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f69,plain,
( ! [X4] : ~ reorganization(sk3,sk11,X4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_5
<=> ! [X5,X3,X2,X0,X8,X6,X1,X7] :
( ~ organization(X0,X1)
| X6 = X7
| greater(X6,X7)
| ~ greater(sk10,X8)
| ~ organization(X0,sk11)
| ~ complexity(X0,X8,sk11)
| ~ survival_chance(sk3,X7,X1)
| ~ survival_chance(X0,X6,X1)
| ~ reorganization_type(sk3,X5,sk11)
| ~ reorganization_type(X0,X5,sk11)
| ~ reorganization(X0,sk11,X1)
| ~ survival_chance(sk3,X3,sk11)
| ~ survival_chance(X0,X3,sk11)
| ~ class(sk3,X2,sk11)
| ~ class(X0,X2,sk11)
| ~ organization(sk3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f72,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X5] :
( ~ complexity(X0,X8,sk11)
| X6 = X7
| greater(X6,X7)
| ~ greater(sk10,X8)
| ~ organization(X0,sk11)
| ~ organization(X0,X1)
| ~ survival_chance(sk3,X7,X1)
| ~ survival_chance(X0,X6,X1)
| ~ reorganization_type(sk3,X5,sk11)
| ~ reorganization_type(X0,X5,sk11)
| ~ reorganization(X0,sk11,X1)
| ~ survival_chance(sk3,X3,sk11)
| ~ survival_chance(X0,X3,sk11)
| ~ class(sk3,X2,sk11)
| ~ class(X0,X2,sk11)
| ~ organization(sk3,X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f65,f71,f68]) ).
fof(f81,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f69,f20]) ).
fof(f82,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f81]) ).
fof(f89,plain,
! [X0] :
( ~ greater(sk13,X0)
| ~ greater(X0,sk11)
| organization(sk2,X0) ),
inference(resolution,[],[f41,f11]) ).
fof(f91,plain,
! [X0] :
( ~ greater(sk13,X0)
| ~ greater(X0,sk11)
| organization(sk3,X0) ),
inference(resolution,[],[f42,f12]) ).
fof(f103,plain,
! [X0,X1] :
( ~ organization(sk3,X0)
| ~ survival_chance(sk3,X1,X0)
| ~ organization(sk3,sk13)
| greater(sk11,X0)
| ~ greater(sk13,X0)
| greater(sk13,sk13)
| greater(X1,sk8) ),
inference(resolution,[],[f58,f25]) ).
fof(f105,plain,
! [X0,X1] :
( ~ organization(sk3,X0)
| ~ survival_chance(sk3,X1,X0)
| greater(sk11,X0)
| ~ greater(sk13,X0)
| greater(sk13,sk13)
| greater(X1,sk8) ),
inference(forward_subsumption_resolution,[],[f103,f14]) ).
fof(f106,plain,
! [X0,X1] :
( ~ survival_chance(sk3,X1,X0)
| ~ organization(sk3,X0)
| greater(sk11,X0)
| ~ greater(sk13,X0)
| greater(X1,sk8) ),
inference(forward_subsumption_resolution,[],[f105,f30]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( ~ class(sk2,X0,sk11)
| ~ class(sk3,X0,sk11)
| ~ reorganization(sk2,sk11,X1)
| ~ reorganization(sk3,sk11,X2)
| ~ reorganization_type(sk2,X3,sk11)
| ~ reorganization_type(sk3,X3,sk11)
| ~ organization(sk3,X2)
| ~ organization(sk2,sk11)
| ~ greater(sk10,sk9)
| greater(X2,X1) ),
inference(resolution,[],[f61,f26]) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( ~ class(sk2,X0,sk11)
| ~ class(sk3,X0,sk11)
| ~ reorganization(sk2,sk11,X1)
| ~ reorganization(sk3,sk11,X2)
| ~ reorganization_type(sk2,X3,sk11)
| ~ reorganization_type(sk3,X3,sk11)
| ~ organization(sk3,X2)
| ~ greater(sk10,sk9)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f114,f11]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( ~ class(sk2,X0,sk11)
| ~ class(sk3,X0,sk11)
| ~ reorganization(sk2,sk11,X1)
| ~ reorganization(sk3,sk11,X2)
| ~ reorganization_type(sk2,X3,sk11)
| ~ reorganization_type(sk3,X3,sk11)
| ~ organization(sk3,X2)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f117,f28]) ).
fof(f120,definition,
( spl0_8
<=> ! [X3] :
( ~ reorganization_type(sk2,X3,sk11)
| ~ reorganization_type(sk3,X3,sk11) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f121,plain,
( ! [X3] :
( ~ reorganization_type(sk3,X3,sk11)
| ~ reorganization_type(sk2,X3,sk11) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,definition,
( spl0_9
<=> ! [X2,X1] :
( ~ reorganization(sk2,sk11,X1)
| ~ reorganization(sk3,sk11,X2)
| greater(X2,X1)
| ~ organization(sk3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f124,plain,
( ! [X2,X1] :
( ~ reorganization(sk3,sk11,X2)
| ~ reorganization(sk2,sk11,X1)
| greater(X2,X1)
| ~ organization(sk3,X2) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,definition,
( spl0_10
<=> ! [X0] :
( ~ class(sk2,X0,sk11)
| ~ class(sk3,X0,sk11) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f127,plain,
( ! [X0] :
( ~ class(sk3,X0,sk11)
| ~ class(sk2,X0,sk11) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f128,plain,
( spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f118,f126,f123,f120]) ).
fof(f134,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| greater(X0,X1)
| ~ greater(sk10,sk9)
| ~ organization(sk2,sk11)
| ~ organization(sk2,X2)
| ~ survival_chance(sk3,X1,X2)
| ~ survival_chance(sk2,X0,X2)
| ~ reorganization_type(sk3,X3,sk11)
| ~ reorganization_type(sk2,X3,sk11)
| ~ reorganization(sk2,sk11,X2)
| ~ survival_chance(sk3,X4,sk11)
| ~ survival_chance(sk2,X4,sk11)
| ~ class(sk3,X5,sk11)
| ~ class(sk2,X5,sk11)
| ~ organization(sk3,X2) )
| ~ spl0_5 ),
inference(resolution,[],[f72,f26]) ).
fof(f137,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| greater(X0,X1)
| ~ organization(sk2,sk11)
| ~ organization(sk2,X2)
| ~ survival_chance(sk3,X1,X2)
| ~ survival_chance(sk2,X0,X2)
| ~ reorganization_type(sk3,X3,sk11)
| ~ reorganization_type(sk2,X3,sk11)
| ~ reorganization(sk2,sk11,X2)
| ~ survival_chance(sk3,X4,sk11)
| ~ survival_chance(sk2,X4,sk11)
| ~ class(sk3,X5,sk11)
| ~ class(sk2,X5,sk11)
| ~ organization(sk3,X2) )
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f134,f28]) ).
fof(f138,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| greater(X0,X1)
| ~ organization(sk2,X2)
| ~ survival_chance(sk3,X1,X2)
| ~ survival_chance(sk2,X0,X2)
| ~ reorganization_type(sk3,X3,sk11)
| ~ reorganization_type(sk2,X3,sk11)
| ~ reorganization(sk2,sk11,X2)
| ~ survival_chance(sk3,X4,sk11)
| ~ survival_chance(sk2,X4,sk11)
| ~ class(sk3,X5,sk11)
| ~ class(sk2,X5,sk11)
| ~ organization(sk3,X2) )
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f137,f11]) ).
fof(f140,definition,
( spl0_11
<=> ! [X4] :
( ~ survival_chance(sk3,X4,sk11)
| ~ survival_chance(sk2,X4,sk11) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f141,plain,
( ! [X4] :
( ~ survival_chance(sk3,X4,sk11)
| ~ survival_chance(sk2,X4,sk11) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,definition,
( spl0_12
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ organization(sk3,X2)
| ~ reorganization(sk2,sk11,X2)
| ~ survival_chance(sk2,X0,X2)
| ~ survival_chance(sk3,X1,X2)
| ~ organization(sk2,X2)
| greater(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f144,plain,
( ! [X2,X0,X1] :
( ~ reorganization(sk2,sk11,X2)
| ~ organization(sk3,X2)
| X0 = X1
| ~ survival_chance(sk2,X0,X2)
| ~ survival_chance(sk3,X1,X2)
| ~ organization(sk2,X2)
| greater(X0,X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f145,plain,
( spl0_10
| spl0_11
| spl0_8
| spl0_12
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f138,f71,f143,f120,f140,f126]) ).
fof(f149,plain,
( ~ reorganization_type(sk2,sk4,sk11)
| ~ spl0_8 ),
inference(resolution,[],[f121,f22]) ).
fof(f150,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f149,f21]) ).
fof(f151,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f152,plain,
( ~ class(sk2,sk5,sk11)
| ~ spl0_10 ),
inference(resolution,[],[f127,f16]) ).
fof(f153,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f152,f15]) ).
fof(f154,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f156,plain,
( ~ survival_chance(sk2,sk6,sk11)
| ~ spl0_11 ),
inference(resolution,[],[f141,f18]) ).
fof(f157,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f156,f17]) ).
fof(f158,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f160,plain,
( ! [X0] :
( ~ reorganization(sk2,sk11,X0)
| greater(sk13,X0)
| ~ organization(sk3,sk13) )
| ~ spl0_9 ),
inference(resolution,[],[f124,f20]) ).
fof(f161,plain,
( ! [X0] :
( ~ reorganization(sk2,sk11,X0)
| greater(sk13,X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f160,f14]) ).
fof(f162,plain,
( greater(sk13,sk12)
| ~ spl0_9 ),
inference(resolution,[],[f161,f19]) ).
fof(f169,plain,
( spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f162,f123,f46]) ).
fof(f170,plain,
( ~ greater(sk12,sk11)
| organization(sk3,sk12)
| ~ spl0_1 ),
inference(resolution,[],[f47,f91]) ).
fof(f171,plain,
( ~ greater(sk12,sk11)
| organization(sk2,sk12)
| ~ spl0_1 ),
inference(resolution,[],[f47,f89]) ).
fof(f175,plain,
( organization(sk2,sk12)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f171,f32]) ).
fof(f176,plain,
( organization(sk3,sk12)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f170,f32]) ).
fof(f177,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f175,f46,f53]) ).
fof(f182,plain,
( ! [X0] :
( ~ survival_chance(sk2,X0,sk12)
| greater(sk7,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f51,f24]) ).
fof(f187,plain,
( greater(sk7,sk1(sk12,sk2))
| ~ organization(sk2,sk12)
| ~ spl0_2 ),
inference(resolution,[],[f182,f4]) ).
fof(f188,plain,
( greater(sk7,sk1(sk12,sk2))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f187,f54]) ).
fof(f274,plain,
! [X0] :
( ~ organization(sk3,X0)
| greater(sk11,X0)
| ~ greater(sk13,X0)
| greater(sk1(X0,sk3),sk8)
| ~ organization(sk3,X0) ),
inference(resolution,[],[f106,f4]) ).
fof(f277,plain,
! [X0] :
( greater(sk1(X0,sk3),sk8)
| greater(sk11,X0)
| ~ greater(sk13,X0)
| ~ organization(sk3,X0) ),
inference(duplicate_literal_removal,[],[f274]) ).
fof(f295,plain,
( ! [X0,X1] :
( ~ organization(sk3,sk12)
| X0 = X1
| ~ survival_chance(sk2,X0,sk12)
| ~ survival_chance(sk3,X1,sk12)
| ~ organization(sk2,sk12)
| greater(X0,X1) )
| ~ spl0_12 ),
inference(resolution,[],[f144,f19]) ).
fof(f296,plain,
( ! [X0,X1] :
( X0 = X1
| ~ survival_chance(sk2,X0,sk12)
| ~ survival_chance(sk3,X1,sk12)
| ~ organization(sk2,sk12)
| greater(X0,X1) )
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f295,f176]) ).
fof(f297,plain,
( ! [X0,X1] :
( ~ survival_chance(sk3,X1,sk12)
| ~ survival_chance(sk2,X0,sk12)
| X0 = X1
| greater(X0,X1) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f296,f54]) ).
fof(f321,plain,
! [X0,X1] :
( ~ greater(X1,sk1(X0,sk3))
| ~ greater(sk13,X0)
| ~ organization(sk3,X0)
| greater(sk11,X0)
| greater(X1,sk8) ),
inference(resolution,[],[f277,f3]) ).
fof(f335,plain,
( ! [X0] :
( ~ survival_chance(sk2,X0,sk12)
| sk1(sk12,sk3) = X0
| greater(X0,sk1(sk12,sk3))
| ~ organization(sk3,sk12) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f297,f4]) ).
fof(f336,plain,
( ! [X0] :
( greater(X0,sk1(sk12,sk3))
| sk1(sk12,sk3) = X0
| ~ survival_chance(sk2,X0,sk12) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f335,f176]) ).
fof(f469,definition,
( spl0_48
<=> sk1(sk12,sk2) = sk1(sk12,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f471,plain,
( sk1(sk12,sk2) = sk1(sk12,sk3)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f488,plain,
( ! [X0] :
( ~ greater(sk13,sk12)
| ~ organization(sk3,sk12)
| greater(sk11,sk12)
| greater(X0,sk8)
| sk1(sk12,sk3) = X0
| ~ survival_chance(sk2,X0,sk12) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f321,f336]) ).
fof(f499,plain,
( ! [X0] :
( ~ organization(sk3,sk12)
| greater(sk11,sk12)
| greater(X0,sk8)
| sk1(sk12,sk3) = X0
| ~ survival_chance(sk2,X0,sk12) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f488,f47]) ).
fof(f501,plain,
( ! [X0] :
( greater(sk11,sk12)
| greater(X0,sk8)
| sk1(sk12,sk3) = X0
| ~ survival_chance(sk2,X0,sk12) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f499,f176]) ).
fof(f503,plain,
( ! [X0] :
( ~ survival_chance(sk2,X0,sk12)
| sk1(sk12,sk3) = X0
| greater(X0,sk8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f501,f36]) ).
fof(f686,plain,
( sk1(sk12,sk2) = sk1(sk12,sk3)
| greater(sk1(sk12,sk2),sk8)
| ~ organization(sk2,sk12)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f503,f4]) ).
fof(f687,plain,
( sk1(sk12,sk2) = sk1(sk12,sk3)
| greater(sk1(sk12,sk2),sk8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f686,f54]) ).
fof(f689,definition,
( spl0_69
<=> greater(sk1(sk12,sk2),sk8) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f691,plain,
( greater(sk1(sk12,sk2),sk8)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f692,plain,
( spl0_69
| spl0_48
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f687,f143,f53,f46,f469,f689]) ).
fof(f699,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk12,sk2))
| ~ greater(sk13,sk12)
| ~ organization(sk3,sk12)
| greater(sk11,sk12)
| greater(X0,sk8) )
| ~ spl0_48 ),
inference(superposition,[],[f321,f471]) ).
fof(f713,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk12,sk2))
| ~ organization(sk3,sk12)
| greater(sk11,sk12)
| greater(X0,sk8) )
| ~ spl0_1
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f699,f47]) ).
fof(f722,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk12,sk2))
| greater(sk11,sk12)
| greater(X0,sk8) )
| ~ spl0_1
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f713,f176]) ).
fof(f728,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk12,sk2))
| greater(X0,sk8) )
| ~ spl0_1
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f722,f36]) ).
fof(f736,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk12,sk2))
| greater(X0,sk8) )
| ~ spl0_69 ),
inference(resolution,[],[f691,f3]) ).
fof(f858,plain,
( greater(sk7,sk8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_48 ),
inference(resolution,[],[f728,f188]) ).
fof(f859,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f858,f29]) ).
fof(f860,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f1073,plain,
( greater(sk7,sk8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_69 ),
inference(resolution,[],[f736,f188]) ).
fof(f1074,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1073,f29]) ).
fof(f1075,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f1074]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f56]) ).
cnf(s2,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f73]) ).
cnf(s4,plain,
~ spl0_4,
inference(sat_conversion,[],[f82]) ).
cnf(s6,plain,
( spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f128]) ).
cnf(s7,plain,
( ~ spl0_5
| spl0_8
| spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f145]) ).
cnf(s8,plain,
~ spl0_8,
inference(sat_conversion,[],[f151]) ).
cnf(s9,plain,
~ spl0_10,
inference(sat_conversion,[],[f154]) ).
cnf(s10,plain,
~ spl0_11,
inference(sat_conversion,[],[f158]) ).
cnf(s13,plain,
( spl0_1
| ~ spl0_9 ),
inference(sat_conversion,[],[f169]) ).
cnf(s14,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f177]) ).
cnf(s63,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_12
| spl0_48
| spl0_69 ),
inference(sat_conversion,[],[f692]) ).
cnf(s68,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_48 ),
inference(sat_conversion,[],[f860]) ).
cnf(s86,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_69 ),
inference(sat_conversion,[],[f1075]) ).
cnf(s87,plain,
( ~ spl0_5
| spl0_12 ),
inference(rat,[],[s7,s10,s9,s8]) ).
cnf(s88,plain,
spl0_9,
inference(rat,[],[s6,s9,s8]) ).
cnf(s89,plain,
spl0_1,
inference(rat,[],[s13,s88]) ).
cnf(s91,plain,
spl0_3,
inference(rat,[],[s14,s89]) ).
cnf(s97,plain,
spl0_5,
inference(rat,[],[s2,s4]) ).
cnf(s98,plain,
spl0_12,
inference(rat,[],[s87,s97]) ).
cnf(s99,plain,
spl0_2,
inference(rat,[],[s1,s91,s89]) ).
cnf(s100,plain,
~ spl0_69,
inference(rat,[],[s86,s91,s99]) ).
cnf(s101,plain,
~ spl0_48,
inference(rat,[],[s68,s91,s89,s99]) ).
cnf(s103,plain,
$false,
inference(rat,[],[s63,s98,s91,s89,s100,s101]) ).
fof(f1079,plain,
$false,
inference(avatar_sat_refutation,[],[s103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT005-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n008.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 17:16:25 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.45 % (1474740)Will run a generic schedule for satisfiability detection.
% 0.13/0.45 % (1474751)dis+10_1_sil=32000:sp=arity:random_seed=3281094865:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.45 % (1474749)% WARNING: option uhcvi not known.
% 0.13/0.45 % (1474750)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2608606336:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.45 % (1474752)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1427891278:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.45 % (1474748)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3950295264_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.45 % (1474753)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=567465941:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.45 % (1474749)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1803339709:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.45 % TRYING [1]
% 0.13/0.45 % TRYING [2]
% 0.13/0.45 % TRYING [3]
% 0.13/0.45 % (1474754)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=973727269:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.46 % (1474751) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1474740-1474751"...
% 0.13/0.46 % TRYING [4]
% 0.13/0.46 % (1474751)...printing done.
% 0.13/0.46 % (1474751)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.46 % (1474751)------------------------------
% 0.13/0.46 % (1474751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.46 % (1474751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.46 % (1474751)CaDiCaL version: 2.1.3
% 0.13/0.46 % (1474751)Termination reason: Refutation
% 0.13/0.46 % (1474751)Time elapsed: 0.016 s
% 0.13/0.46 % (1474751)Peak memory usage: 12 MB
% 0.13/0.46 % (1474751)Instructions burned: 39 (million)
% 0.13/0.46 % (1474740)Success in time 0.033 s
% 0.13/0.46 % Vampire exiting
%------------------------------------------------------------------------------