%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT043-1 : 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 : n014.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 12:02:41 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 23 unt; 3 def)
% Number of atoms : 116 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 117 ( 58 ~; 56 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater(capability(X0,X2),capability(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_38) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_42) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X1) = position(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_45) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X2) = position(X0,X1) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_46) ).
fof(f23,negated_conjecture,
~ has_immunity(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_47) ).
fof(f24,negated_conjecture,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_48) ).
fof(f25,negated_conjecture,
stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_49) ).
fof(f26,negated_conjecture,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_50) ).
fof(f27,negated_conjecture,
external_ties(sk1,sk2) = external_ties(sk1,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_51) ).
fof(f28,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_52) ).
fof(f29,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f30,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f33,plain,
! [X1] : ~ smaller_or_equal(X1,X1),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f36,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| greater(capability(X0,X2),capability(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ organization(X0) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ smaller(capability(X0,X1),capability(X0,X2))
| smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ organization(X0) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f47,plain,
has_immunity(sk1,sk2),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f48,plain,
has_immunity(sk1,sk3),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f49,plain,
~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f50,plain,
greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f51,plain,
smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)),
inference(resolution,[],[f36,f50]) ).
fof(f82,plain,
! [X0,X1] :
( external_ties(sk1,X0) != external_ties(sk1,X1)
| position(sk1,X1) = position(sk1,X0) ),
inference(resolution,[],[f21,f22]) ).
fof(f98,plain,
( ~ has_immunity(sk1,sk3)
| ~ has_immunity(sk1,sk2)
| greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| ~ organization(sk1) ),
inference(resolution,[],[f41,f51]) ).
fof(f99,plain,
( ~ has_immunity(sk1,sk2)
| greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| ~ organization(sk1) ),
inference(forward_subsumption_resolution,[],[f98,f48]) ).
fof(f100,plain,
( greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| ~ organization(sk1) ),
inference(forward_subsumption_resolution,[],[f99,f47]) ).
fof(f101,plain,
( greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3)) ),
inference(forward_subsumption_resolution,[],[f100,f22]) ).
fof(f103,definition,
( spl0_6
<=> greater_or_equal(position(sk1,sk2),position(sk1,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f105,plain,
( ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| spl0_6 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f107,definition,
( spl0_7
<=> greater(capability(sk1,sk2),capability(sk1,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f109,plain,
( greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f101,f107,f103]) ).
fof(f134,definition,
( spl0_10
<=> position(sk1,sk2) = position(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f136,plain,
( position(sk1,sk2) = position(sk1,sk3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f138,plain,
! [X0] :
( external_ties(sk1,sk2) != external_ties(sk1,X0)
| position(sk1,X0) = position(sk1,sk3) ),
inference(superposition,[],[f82,f27]) ).
fof(f144,plain,
( smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_7 ),
inference(resolution,[],[f109,f36]) ).
fof(f239,plain,
position(sk1,sk2) = position(sk1,sk3),
inference(equality_resolution,[],[f138]) ).
fof(f240,plain,
spl0_10,
inference(avatar_split_clause,[],[f239,f134]) ).
fof(f256,plain,
( smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ organization(sk1)
| ~ spl0_7 ),
inference(resolution,[],[f144,f45]) ).
fof(f274,plain,
( smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f256,f49]) ).
fof(f275,plain,
( smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f274,f22]) ).
fof(f276,plain,
( smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f275,f25]) ).
fof(f277,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f276,f33]) ).
fof(f278,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f279,plain,
( ~ greater_or_equal(position(sk1,sk2),position(sk1,sk2))
| spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f105,f136]) ).
fof(f282,plain,
( $false
| spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f279,f30]) ).
fof(f283,plain,
( spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f282]) ).
cnf(s4,plain,
( ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f110]) ).
cnf(s10,plain,
spl0_10,
inference(sat_conversion,[],[f240]) ).
cnf(s14,plain,
~ spl0_7,
inference(sat_conversion,[],[f278]) ).
cnf(s16,plain,
( spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f283]) ).
cnf(s18,plain,
spl0_6,
inference(rat,[],[s16,s10]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s4,s14,s18]) ).
fof(f284,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT043-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 17:26:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (1043011)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1043017)% WARNING: option uhcvi not known.
% 0.11/0.45 % (1043017)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3541729726:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (1043017) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1043011-1043017"...
% 0.11/0.45 % (1043017)...printing done.
% 0.11/0.45 % (1043017)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (1043017)------------------------------
% 0.11/0.45 % (1043017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (1043017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (1043017)CaDiCaL version: 2.1.3
% 0.11/0.45 % (1043017)Termination reason: Refutation
% 0.11/0.45 % (1043017)Time elapsed: 0.005 s
% 0.11/0.45 % (1043017)Peak memory usage: 12 MB
% 0.11/0.45 % (1043017)Instructions burned: 11 (million)
% 0.11/0.45 % (1043011)Success in time 0.032 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------