%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT046-1 : 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 : n007.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 12:02:42 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 46 ( 17 unt; 2 def)
% Number of atoms : 93 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 91 ( 44 ~; 45 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 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(f5,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_5) ).
fof(f12,axiom,
! [X0,X1] :
( ~ organization(X0)
| has_endowment(X0)
| ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_41) ).
fof(f13,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_42) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| greater(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_45) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| greater(position(X0,X1),position(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_48) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_7_50) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(external_ties(X0,X1),external_ties(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8_51) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| internal_friction(X0,X1) = internal_friction(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_9_52) ).
fof(f26,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_1_53) ).
fof(f27,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_1_54) ).
fof(f28,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_1_55) ).
fof(f29,negated_conjecture,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_1_56) ).
fof(f31,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(equality_resolution,[],[f3]) ).
fof(f38,plain,
! [X0] :
( has_endowment(sk1)
| ~ has_immunity(sk1,X0) ),
inference(resolution,[],[f12,f26]) ).
fof(f39,plain,
! [X0] : ~ has_immunity(sk1,X0),
inference(forward_subsumption_resolution,[],[f38,f27]) ).
fof(f56,plain,
! [X0,X1] : internal_friction(sk1,X0) = internal_friction(sk1,X1),
inference(resolution,[],[f25,f26]) ).
fof(f61,plain,
! [X0,X1] :
( ~ greater(external_ties(sk1,X0),external_ties(sk1,X1))
| greater(position(sk1,X0),position(sk1,X1)) ),
inference(resolution,[],[f20,f26]) ).
fof(f65,plain,
! [X0,X1] :
( ~ greater(age(sk1,X0),age(sk1,X1))
| greater(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1)) ),
inference(resolution,[],[f23,f26]) ).
fof(f66,plain,
greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
inference(resolution,[],[f65,f28]) ).
fof(f69,plain,
! [X0,X1] :
( ~ greater(age(sk1,X0),age(sk1,X1))
| greater(external_ties(sk1,X0),external_ties(sk1,X1)) ),
inference(resolution,[],[f24,f26]) ).
fof(f76,plain,
! [X0,X1] :
( ~ greater(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1))
| ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,X1))
| greater(capability(sk1,X0),capability(sk1,X1)) ),
inference(resolution,[],[f16,f26]) ).
fof(f81,plain,
! [X0,X1] :
( has_immunity(sk1,X0)
| has_immunity(sk1,X1)
| ~ greater(capability(sk1,X1),capability(sk1,X0))
| ~ greater_or_equal(position(sk1,X1),position(sk1,X0))
| smaller(hazard_of_mortality(sk1,X1),hazard_of_mortality(sk1,X0)) ),
inference(resolution,[],[f13,f26]) ).
fof(f82,plain,
! [X0,X1] :
( has_immunity(sk1,X0)
| ~ greater(capability(sk1,X1),capability(sk1,X0))
| ~ greater_or_equal(position(sk1,X1),position(sk1,X0))
| smaller(hazard_of_mortality(sk1,X1),hazard_of_mortality(sk1,X0)) ),
inference(forward_subsumption_resolution,[],[f81,f39]) ).
fof(f83,plain,
! [X0,X1] :
( ~ greater(capability(sk1,X1),capability(sk1,X0))
| ~ greater_or_equal(position(sk1,X1),position(sk1,X0))
| smaller(hazard_of_mortality(sk1,X1),hazard_of_mortality(sk1,X0)) ),
inference(forward_subsumption_resolution,[],[f82,f39]) ).
fof(f92,plain,
greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
inference(resolution,[],[f69,f28]) ).
fof(f96,plain,
greater(position(sk1,sk3),position(sk1,sk2)),
inference(resolution,[],[f92,f61]) ).
fof(f101,plain,
( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| greater(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(resolution,[],[f76,f66]) ).
fof(f104,definition,
( spl0_1
<=> greater(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f106,plain,
( greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f108,definition,
( spl0_2
<=> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f110,plain,
( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| spl0_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f101,f108,f104]) ).
fof(f115,plain,
greater_or_equal(position(sk1,sk3),position(sk1,sk2)),
inference(resolution,[],[f96,f5]) ).
fof(f131,plain,
( ! [X0] : ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,sk2))
| spl0_2 ),
inference(superposition,[],[f110,f56]) ).
fof(f191,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f131,f31]) ).
fof(f196,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f204,plain,
( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1 ),
inference(resolution,[],[f106,f83]) ).
fof(f212,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f204,f115]) ).
fof(f213,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f212,f29]) ).
fof(f214,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f213]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f111]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f196]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f214]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s3,s5]) ).
fof(f215,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT046-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 % Computer : n007.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sun Sep 27 17:25:34 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 0.17/0.48 % (1678169)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (1678179)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1616201971:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (1678175)% WARNING: option uhcvi not known.
% 0.17/0.48 % (1678179) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1678169-1678179"...
% 0.17/0.48 % (1678179)...printing done.
% 0.17/0.48 % (1678179)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (1678179)------------------------------
% 0.17/0.48 % (1678179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (1678179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (1678179)CaDiCaL version: 2.1.3
% 0.17/0.48 % (1678179)Termination reason: Refutation
% 0.17/0.48 % (1678179)Time elapsed: 0.004 s
% 0.17/0.48 % (1678179)Peak memory usage: 12 MB
% 0.17/0.48 % (1678179)Instructions burned: 10 (million)
% 0.17/0.48 % (1678169)Success in time 0.04 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------