%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT050-1 : 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 : 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 12:02:43 PM UTC 2026
% Result : Unsatisfiable 0.38s 0.47s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 75 ( 22 unt; 6 def)
% Number of atoms : 165 ( 11 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 166 ( 76 ~; 84 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 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,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_41) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ organization(X0)
| ~ 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(f17,axiom,
! [X2,X0,X1] :
( ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| smaller(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_46) ).
fof(f21,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_49) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X2) = position(X0,X1) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10_50) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) = external_ties(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11_51) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0)
| greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_12_52) ).
fof(f26,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_53) ).
fof(f27,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_54) ).
fof(f28,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_55) ).
fof(f29,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_56) ).
fof(f30,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f31,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f58,plain,
! [X0,X1] : stock_of_knowledge(sk1,X0) = stock_of_knowledge(sk1,X1),
inference(resolution,[],[f23,f26]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| position(X0,X2) = position(X0,X1) ),
inference(forward_subsumption_resolution,[],[f22,f24]) ).
fof(f80,plain,
! [X0,X1] : position(sk1,X1) = position(sk1,X0),
inference(resolution,[],[f78,f26]) ).
fof(f85,plain,
( ~ organization(sk1)
| greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(resolution,[],[f25,f28]) ).
fof(f87,plain,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f85,f26]) ).
fof(f111,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1)
| smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(resolution,[],[f17,f87]) ).
fof(f113,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(forward_subsumption_resolution,[],[f111,f26]) ).
fof(f115,definition,
( spl0_5
<=> smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f117,plain,
( smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f119,definition,
( spl0_6
<=> smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f121,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| spl0_6 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f113,f119,f115]) ).
fof(f127,plain,
( ! [X0] : ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2))
| spl0_6 ),
inference(superposition,[],[f121,f58]) ).
fof(f143,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f127,f30]) ).
fof(f148,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f143]) ).
fof(f150,plain,
( greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_5 ),
inference(resolution,[],[f117,f7]) ).
fof(f164,plain,
( has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ organization(sk1)
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ spl0_5 ),
inference(resolution,[],[f150,f13]) ).
fof(f169,plain,
( has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f164,f26]) ).
fof(f172,definition,
( spl0_7
<=> greater_or_equal(position(sk1,sk2),position(sk1,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f173,plain,
( greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f174,plain,
( ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| spl0_7 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f176,definition,
( spl0_8
<=> has_immunity(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f177,plain,
( ~ has_immunity(sk1,sk2)
| spl0_8 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( has_immunity(sk1,sk2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_9
<=> has_immunity(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f181,plain,
( ~ has_immunity(sk1,sk3)
| spl0_9 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f182,plain,
( has_immunity(sk1,sk3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f283,plain,
( ! [X0] : ~ greater_or_equal(position(sk1,X0),position(sk1,sk3))
| spl0_7 ),
inference(superposition,[],[f174,f80]) ).
fof(f462,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f283,f31]) ).
fof(f468,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f470,plain,
( has_endowment(sk1)
| ~ organization(sk1)
| ~ spl0_8 ),
inference(resolution,[],[f178,f12]) ).
fof(f471,plain,
( ~ organization(sk1)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f470,f27]) ).
fof(f472,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f471,f26]) ).
fof(f473,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f513,plain,
( has_endowment(sk1)
| ~ organization(sk1)
| ~ spl0_9 ),
inference(resolution,[],[f182,f12]) ).
fof(f514,plain,
( ~ organization(sk1)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f513,f27]) ).
fof(f515,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f514,f26]) ).
fof(f516,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f560,plain,
( has_immunity(sk1,sk2)
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ spl0_5
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f169,f181]) ).
fof(f562,definition,
( spl0_32
<=> smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f564,plain,
( smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f566,plain,
( ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ spl0_5
| spl0_8
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f560,f177]) ).
fof(f567,plain,
( smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ spl0_5
| ~ spl0_7
| spl0_8
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f566,f173]) ).
fof(f568,plain,
( spl0_32
| ~ spl0_5
| ~ spl0_7
| spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f567,f180,f176,f172,f115,f562]) ).
fof(f739,plain,
( greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_32 ),
inference(resolution,[],[f564,f7]) ).
fof(f741,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f739,f29]) ).
fof(f742,plain,
~ spl0_32,
inference(avatar_contradiction_clause,[],[f741]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f122]) ).
cnf(s5,plain,
spl0_6,
inference(sat_conversion,[],[f148]) ).
cnf(s33,plain,
spl0_7,
inference(sat_conversion,[],[f468]) ).
cnf(s36,plain,
~ spl0_8,
inference(sat_conversion,[],[f473]) ).
cnf(s37,plain,
~ spl0_9,
inference(sat_conversion,[],[f516]) ).
cnf(s41,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_8
| spl0_9
| spl0_32 ),
inference(sat_conversion,[],[f568]) ).
cnf(s48,plain,
~ spl0_32,
inference(sat_conversion,[],[f742]) ).
cnf(s49,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_8
| spl0_9 ),
inference(rat,[],[s41,s48]) ).
cnf(s53,plain,
~ spl0_5,
inference(rat,[],[s49,s37,s36,s33]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s3,s5,s53]) ).
fof(f743,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT050-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 17:29:09 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 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
% 0.38/0.47 % (1482343)Will run a generic schedule for satisfiability detection.
% 0.38/0.47 % (1482354)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=919584615:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.38/0.47 % (1482349)% WARNING: option uhcvi not known.
% 0.38/0.47 % (1482349)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3507971380:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.38/0.47 % (1482351)dis+10_1_sil=32000:sp=arity:random_seed=581023851:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.38/0.47 % (1482353)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1415998363:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.38/0.47 % (1482350)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=219821105:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.38/0.47 % (1482352)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2640139990:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.38/0.47 % (1482348)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2094259905_2999 on theBenchmark for (2999ds/0Mi)
% 0.38/0.47 % TRYING [1]
% 0.38/0.47 % TRYING [2]
% 0.38/0.47 % TRYING [3]
% 0.38/0.47 % TRYING [4]
% 0.38/0.47 % TRYING [5]
% 0.38/0.47 % (1482351) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1482343-1482351"...
% 0.38/0.47 % (1482351)...printing done.
% 0.38/0.47 % (1482351)Refutation found. Thanks to Tanya!
% 0.38/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.38/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.47 % (1482351)------------------------------
% 0.38/0.47 % (1482351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.47 % (1482351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.47 % (1482351)CaDiCaL version: 2.1.3
% 0.38/0.47 % (1482351)Termination reason: Refutation
% 0.38/0.47 % (1482351)Time elapsed: 0.022 s
% 0.38/0.47 % (1482351)Peak memory usage: 12 MB
% 0.38/0.47 % (1482351)Instructions burned: 30 (million)
% 0.38/0.47 % (1482343)Success in time 0.06 s
% 0.38/0.47 % Vampire exiting
%------------------------------------------------------------------------------