%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n018.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 12:01:57 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.13s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 41
% Syntax : Number of formulae : 157 ( 40 unt; 12 def)
% Number of atoms : 635 ( 24 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 918 ( 440 ~; 466 |; 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(f48,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(f55,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(f140,plain,
( ~ reorganization_type(sk2,sk4,sk11)
| ~ spl0_8 ),
inference(resolution,[],[f121,f22]) ).
fof(f141,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f140,f21]) ).
fof(f142,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f143,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(f144,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,[],[f143,f11]) ).
fof(f146,definition,
( spl0_11
<=> ! [X4] :
( ~ survival_chance(sk3,X4,sk11)
| ~ survival_chance(sk2,X4,sk11) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f147,plain,
( ! [X4] :
( ~ survival_chance(sk3,X4,sk11)
| ~ survival_chance(sk2,X4,sk11) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f149,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(f150,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,[],[f149]) ).
fof(f151,plain,
( spl0_10
| spl0_11
| spl0_8
| spl0_12
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f144,f71,f149,f120,f146,f126]) ).
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,[],[f147,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(f163,plain,
( $false
| spl0_1
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f162,f48]) ).
fof(f164,plain,
( spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f165,plain,
( ~ greater(sk12,sk11)
| organization(sk3,sk12)
| ~ spl0_1 ),
inference(resolution,[],[f47,f91]) ).
fof(f166,plain,
( ~ greater(sk12,sk11)
| organization(sk2,sk12)
| ~ spl0_1 ),
inference(resolution,[],[f47,f89]) ).
fof(f170,plain,
( organization(sk2,sk12)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f166,f32]) ).
fof(f171,plain,
( organization(sk3,sk12)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f165,f32]) ).
fof(f172,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f170,f55]) ).
fof(f173,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f178,plain,
( ! [X0] :
( ~ survival_chance(sk2,X0,sk12)
| greater(sk7,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f51,f24]) ).
fof(f183,plain,
( greater(sk7,sk1(sk12,sk2))
| ~ organization(sk2,sk12)
| ~ spl0_2 ),
inference(resolution,[],[f178,f4]) ).
fof(f184,plain,
( greater(sk7,sk1(sk12,sk2))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f183,f54]) ).
fof(f270,plain,
! [X0] :
( ~ organization(sk3,X0)
| greater(sk11,X0)
| ~ greater(sk13,X0)
| greater(sk1(X0,sk3),sk8)
| ~ organization(sk3,X0) ),
inference(resolution,[],[f106,f4]) ).
fof(f273,plain,
! [X0] :
( greater(sk1(X0,sk3),sk8)
| greater(sk11,X0)
| ~ greater(sk13,X0)
| ~ organization(sk3,X0) ),
inference(duplicate_literal_removal,[],[f270]) ).
fof(f291,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,[],[f150,f19]) ).
fof(f292,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,[],[f291,f171]) ).
fof(f293,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,[],[f292,f54]) ).
fof(f317,plain,
! [X0,X1] :
( ~ greater(X1,sk1(X0,sk3))
| ~ greater(sk13,X0)
| ~ organization(sk3,X0)
| greater(sk11,X0)
| greater(X1,sk8) ),
inference(resolution,[],[f273,f3]) ).
fof(f331,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,[],[f293,f4]) ).
fof(f332,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,[],[f331,f171]) ).
fof(f465,definition,
( spl0_47
<=> sk1(sk12,sk2) = sk1(sk12,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f467,plain,
( sk1(sk12,sk2) = sk1(sk12,sk3)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f484,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,[],[f317,f332]) ).
fof(f495,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,[],[f484,f47]) ).
fof(f497,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,[],[f495,f171]) ).
fof(f499,plain,
( ! [X0] :
( ~ survival_chance(sk2,X0,sk12)
| sk1(sk12,sk3) = X0
| greater(X0,sk8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f497,f36]) ).
fof(f653,plain,
( sk1(sk12,sk2) = sk1(sk12,sk3)
| greater(sk1(sk12,sk2),sk8)
| ~ organization(sk2,sk12)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f499,f4]) ).
fof(f654,plain,
( sk1(sk12,sk2) = sk1(sk12,sk3)
| greater(sk1(sk12,sk2),sk8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f653,f54]) ).
fof(f656,definition,
( spl0_61
<=> greater(sk1(sk12,sk2),sk8) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f658,plain,
( greater(sk1(sk12,sk2),sk8)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f659,plain,
( spl0_61
| spl0_47
| ~ spl0_1
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f654,f149,f53,f46,f465,f656]) ).
fof(f666,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk12,sk2))
| ~ greater(sk13,sk12)
| ~ organization(sk3,sk12)
| greater(sk11,sk12)
| greater(X0,sk8) )
| ~ spl0_47 ),
inference(superposition,[],[f317,f467]) ).
fof(f679,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk12,sk2))
| ~ organization(sk3,sk12)
| greater(sk11,sk12)
| greater(X0,sk8) )
| ~ spl0_1
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f666,f47]) ).
fof(f687,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk12,sk2))
| greater(sk11,sk12)
| greater(X0,sk8) )
| ~ spl0_1
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f679,f171]) ).
fof(f692,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk12,sk2))
| greater(X0,sk8) )
| ~ spl0_1
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f687,f36]) ).
fof(f709,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk12,sk2))
| greater(X0,sk8) )
| ~ spl0_61 ),
inference(resolution,[],[f658,f3]) ).
fof(f818,plain,
( greater(sk7,sk8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_47 ),
inference(resolution,[],[f692,f184]) ).
fof(f819,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f818,f29]) ).
fof(f820,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f972,plain,
( greater(sk7,sk8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_61 ),
inference(resolution,[],[f709,f184]) ).
fof(f973,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f972,f29]) ).
fof(f974,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f973]) ).
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_8,
inference(sat_conversion,[],[f142]) ).
cnf(s8,plain,
( ~ spl0_5
| spl0_8
| spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f151]) ).
cnf(s9,plain,
~ spl0_10,
inference(sat_conversion,[],[f154]) ).
cnf(s10,plain,
~ spl0_11,
inference(sat_conversion,[],[f158]) ).
cnf(s11,plain,
( spl0_1
| ~ spl0_9 ),
inference(sat_conversion,[],[f164]) ).
cnf(s12,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f173]) ).
cnf(s51,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_12
| spl0_47
| spl0_61 ),
inference(sat_conversion,[],[f659]) ).
cnf(s55,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_47 ),
inference(sat_conversion,[],[f820]) ).
cnf(s69,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_61 ),
inference(sat_conversion,[],[f974]) ).
cnf(s70,plain,
( ~ spl0_5
| spl0_8
| spl0_12 ),
inference(rat,[],[s8,s10,s9]) ).
cnf(s71,plain,
spl0_9,
inference(rat,[],[s6,s9,s7]) ).
cnf(s72,plain,
spl0_1,
inference(rat,[],[s11,s71]) ).
cnf(s74,plain,
spl0_3,
inference(rat,[],[s12,s72]) ).
cnf(s79,plain,
spl0_5,
inference(rat,[],[s2,s4]) ).
cnf(s80,plain,
spl0_12,
inference(rat,[],[s70,s7,s79]) ).
cnf(s81,plain,
spl0_2,
inference(rat,[],[s1,s74,s72]) ).
cnf(s82,plain,
~ spl0_61,
inference(rat,[],[s69,s74,s81]) ).
cnf(s83,plain,
~ spl0_47,
inference(rat,[],[s55,s74,s72,s81]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s51,s80,s74,s72,s82,s83]) ).
fof(f977,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.13/0.38 % Computer : n018.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
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:17:54 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.27/1.13 % (2612866)Input is clausal, will run a generic CNF schedule.
% 1.27/1.13 % (2612874)lrs+10_1_sil=8000:sp=occurrence:random_seed=4073292540:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.27/1.13 % (2612874)First to succeed.
% 1.27/1.13 % (2612874)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2612866"
% 1.27/1.13 % (2612875)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=58574125:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.27/1.13 % (2612872)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1886438049:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.27/1.13 % (2612871)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1491262385:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.27/1.13 % (2612873)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3231874988:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.27/1.13 % (2612876)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3837082643:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.27/1.13 % (2612877)dis-21_1_sil=8000:lcm=predicate:random_seed=3240762278:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.27/1.13 % (2612876)Also succeeded, but the first one will report.
% 1.27/1.13 % (2612875)Instruction limit reached!
% 1.27/1.13 % (2612875)------------------------------
% 1.27/1.13 % (2612875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.27/1.13 % (2612875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/1.13 % (2612875)CaDiCaL version: 2.1.3
% 1.27/1.13 % (2612875)Termination reason: Instruction limit
% 1.27/1.13 % (2612875)Termination phase: Saturation
% 1.27/1.13 % (2612875)Time elapsed: 0.053 s
% 1.27/1.13 % (2612875)Peak memory usage: 88 MB
% 1.27/1.13 % (2612875)Instructions burned: 115 (million)
% 1.27/1.13 % (2612877)Instruction limit reached!
% 1.27/1.13 % (2612877)------------------------------
% 1.27/1.13 % (2612877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.27/1.13 % (2612877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/1.13 % (2612877)CaDiCaL version: 2.1.3
% 1.27/1.13 % (2612877)Termination reason: Instruction limit
% 1.27/1.13 % (2612877)Termination phase: Saturation
% 1.27/1.13 % (2612877)Time elapsed: 0.069 s
% 1.27/1.13 % (2612877)Peak memory usage: 89 MB
% 1.27/1.13 % (2612877)Instructions burned: 117 (million)
% 1.27/1.13 % (2612874)Refutation found. Thanks to Tanya!
% 1.27/1.13 % SZS status Unsatisfiable for theBenchmark
% 1.27/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.32 % (2612874)------------------------------
% 2.61/1.32 % (2612874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.32 % (2612874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.32 % (2612874)CaDiCaL version: 2.1.3
% 2.61/1.32 % (2612874)Termination reason: Refutation
% 2.61/1.32 % (2612874)Time elapsed: 0.014 s
% 2.61/1.32 % (2612874)Peak memory usage: 89 MB
% 2.61/1.32 % (2612874)Instructions burned: 35 (million)
% 2.61/1.32 % (2612874)------------------------------
% 2.61/1.32 % (2612874)------------------------------
% 2.61/1.32 % (2612866)Success in time 0.278 s
% 2.61/1.32 % Vampire exiting
%------------------------------------------------------------------------------