%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT054-1 : 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 : 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 12:02:44 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 87 ( 19 unt; 5 def)
% Number of atoms : 205 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 222 ( 104 ~; 113 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| smaller(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).
fof(f12,axiom,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_38) ).
fof(f13,axiom,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_39) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_40) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_42) ).
fof(f18,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_44) ).
fof(f21,axiom,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_47) ).
fof(f22,axiom,
! [X2,X0,X1] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14_48) ).
fof(f23,axiom,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_49) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_50) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater(capability(X0,X2),capability(X0,X1))
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_16_51) ).
fof(f26,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_52) ).
fof(f27,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_53) ).
fof(f28,negated_conjecture,
age(sk1,sk2) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_54) ).
fof(f29,plain,
zero = age(sk1,sk2),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
smaller_or_equal(age(sk1,sk3),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_55) ).
fof(f31,negated_conjecture,
greater(age(sk1,sk4),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_56) ).
fof(f33,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk4),hazard_of_mortality(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_58) ).
fof(f44,plain,
( smaller(age(sk1,sk3),sigma)
| sigma = age(sk1,sk3) ),
inference(resolution,[],[f1,f30]) ).
fof(f48,definition,
( spl0_1
<=> sigma = age(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f50,plain,
( sigma = age(sk1,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,definition,
( spl0_2
<=> smaller(age(sk1,sk3),sigma) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f54,plain,
( smaller(age(sk1,sk3),sigma)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f44,f52,f48]) ).
fof(f63,plain,
( greater(sigma,age(sk1,sk3))
| ~ spl0_2 ),
inference(resolution,[],[f54,f7]) ).
fof(f83,plain,
( ~ greater(age(sk1,sk3),sigma)
| ~ spl0_2 ),
inference(resolution,[],[f63,f9]) ).
fof(f87,plain,
( zero != zero
| ~ organization(sk1)
| is_aligned(sk1,sk2) ),
inference(superposition,[],[f21,f29]) ).
fof(f88,plain,
( ~ organization(sk1)
| is_aligned(sk1,sk2) ),
inference(trivial_inequality_removal,[],[f87]) ).
fof(f89,plain,
is_aligned(sk1,sk2),
inference(forward_subsumption_resolution,[],[f88,f26]) ).
fof(f110,definition,
( spl0_5
<=> has_immunity(sk1,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f111,plain,
( ~ has_immunity(sk1,sk4)
| spl0_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f112,plain,
( has_immunity(sk1,sk4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f126,plain,
! [X0] :
( zero != zero
| ~ organization(sk1)
| ~ greater(age(sk1,X0),sigma)
| dissimilar(sk1,sk2,X0) ),
inference(superposition,[],[f23,f29]) ).
fof(f127,plain,
! [X0] :
( ~ organization(sk1)
| ~ greater(age(sk1,X0),sigma)
| dissimilar(sk1,sk2,X0) ),
inference(trivial_inequality_removal,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ~ greater(age(sk1,X0),sigma)
| dissimilar(sk1,sk2,X0) ),
inference(forward_subsumption_resolution,[],[f127,f26]) ).
fof(f139,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
inference(forward_subsumption_resolution,[],[f24,f14]) ).
fof(f141,plain,
! [X0] :
( zero != zero
| ~ dissimilar(sk1,sk2,X0)
| greater(age(sk1,X0),sigma) ),
inference(superposition,[],[f139,f29]) ).
fof(f142,plain,
! [X0] :
( greater(age(sk1,X0),sigma)
| ~ dissimilar(sk1,sk2,X0) ),
inference(trivial_inequality_removal,[],[f141]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f25,f13]) ).
fof(f147,plain,
! [X2,X0,X1] :
( has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ organization(X0) ),
inference(resolution,[],[f144,f22]) ).
fof(f149,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| has_immunity(X0,X1)
| ~ is_aligned(X0,X2)
| is_aligned(X0,X1) ),
inference(duplicate_literal_removal,[],[f147]) ).
fof(f159,plain,
dissimilar(sk1,sk2,sk4),
inference(resolution,[],[f128,f31]) ).
fof(f162,plain,
( ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk4) ),
inference(resolution,[],[f159,f16]) ).
fof(f165,plain,
~ is_aligned(sk1,sk4),
inference(forward_subsumption_resolution,[],[f162,f89]) ).
fof(f166,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ spl0_2 ),
inference(resolution,[],[f142,f83]) ).
fof(f185,plain,
( ~ is_aligned(sk1,sk2)
| is_aligned(sk1,sk3)
| ~ organization(sk1)
| ~ spl0_2 ),
inference(resolution,[],[f166,f18]) ).
fof(f186,plain,
( is_aligned(sk1,sk3)
| ~ organization(sk1)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f185,f89]) ).
fof(f187,plain,
( is_aligned(sk1,sk3)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f186,f26]) ).
fof(f233,plain,
( has_endowment(sk1)
| ~ organization(sk1)
| ~ spl0_5 ),
inference(resolution,[],[f112,f12]) ).
fof(f234,plain,
( ~ organization(sk1)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f233,f27]) ).
fof(f235,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f234,f26]) ).
fof(f236,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f274,plain,
( ~ organization(sk1)
| has_immunity(sk1,sk4)
| ~ is_aligned(sk1,sk3)
| is_aligned(sk1,sk4) ),
inference(resolution,[],[f149,f33]) ).
fof(f288,plain,
( has_immunity(sk1,sk4)
| ~ is_aligned(sk1,sk3)
| is_aligned(sk1,sk4) ),
inference(forward_subsumption_resolution,[],[f274,f26]) ).
fof(f290,plain,
( ~ is_aligned(sk1,sk3)
| is_aligned(sk1,sk4)
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f288,f111]) ).
fof(f292,plain,
( is_aligned(sk1,sk4)
| ~ spl0_2
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f290,f187]) ).
fof(f293,plain,
( $false
| ~ spl0_2
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f292,f165]) ).
fof(f294,plain,
( ~ spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f295,plain,
( ~ is_aligned(sk1,sk3)
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f290,f165]) ).
fof(f297,plain,
( greater(sigma,sigma)
| ~ dissimilar(sk1,sk2,sk3)
| ~ spl0_1 ),
inference(superposition,[],[f142,f50]) ).
fof(f313,definition,
( spl0_13
<=> dissimilar(sk1,sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f314,plain,
( ~ dissimilar(sk1,sk2,sk3)
| spl0_13 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f317,definition,
( spl0_14
<=> greater(sigma,sigma) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f318,plain,
( greater(sigma,sigma)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f321,plain,
( ~ spl0_13
| spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f297,f48,f317,f313]) ).
fof(f358,plain,
( ~ is_aligned(sk1,sk2)
| is_aligned(sk1,sk3)
| ~ organization(sk1)
| spl0_13 ),
inference(resolution,[],[f314,f18]) ).
fof(f359,plain,
( is_aligned(sk1,sk3)
| ~ organization(sk1)
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f358,f89]) ).
fof(f360,plain,
( ~ organization(sk1)
| spl0_5
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f359,f295]) ).
fof(f361,plain,
( $false
| spl0_5
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f360,f26]) ).
fof(f362,plain,
( spl0_5
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f361]) ).
fof(f366,plain,
( ~ greater(sigma,sigma)
| ~ spl0_14 ),
inference(resolution,[],[f318,f9]) ).
fof(f371,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f366,f318]) ).
fof(f372,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f371]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s7,plain,
~ spl0_5,
inference(sat_conversion,[],[f236]) ).
cnf(s11,plain,
( ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f294]) ).
cnf(s14,plain,
( ~ spl0_1
| ~ spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f321]) ).
cnf(s18,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f362]) ).
cnf(s20,plain,
~ spl0_14,
inference(sat_conversion,[],[f372]) ).
cnf(s21,plain,
( ~ spl0_1
| ~ spl0_13 ),
inference(rat,[],[s14,s20]) ).
cnf(s22,plain,
spl0_13,
inference(rat,[],[s18,s7]) ).
cnf(s23,plain,
~ spl0_2,
inference(rat,[],[s11,s7]) ).
cnf(s24,plain,
~ spl0_1,
inference(rat,[],[s21,s22]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s1,s23,s24]) ).
fof(f373,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT054-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.34 % Computer : n007.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8046.5625MB
% 0.11/0.34 % OS : Linux 6.8.0-71-generic
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Sun Sep 27 17:27:25 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 Running first-order model finding
% 0.13/0.37 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
% 0.13/0.43 % (1679416)Will run a generic schedule for satisfiability detection.
% 0.13/0.43 % (1679423)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=207208946:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.43 % (1679422)% WARNING: option uhcvi not known.
% 0.13/0.43 % (1679421)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2408501465_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.43 % (1679422)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=418762882:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.43 % (1679427)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3828738212:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.43 % (1679424)dis+10_1_sil=32000:sp=arity:random_seed=3565382847:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.43 % (1679425)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2490785131:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.43 % (1679426)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3029220596:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.43 % TRYING [1]
% 0.13/0.43 % TRYING [2]
% 0.13/0.43 % TRYING [3]
% 0.13/0.43 % TRYING [4]
% 0.13/0.43 % (1679424) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1679416-1679424"...
% 0.13/0.43 % (1679424)...printing done.
% 0.13/0.43 % (1679424)Refutation found. Thanks to Tanya!
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.43 % (1679424)------------------------------
% 0.13/0.43 % (1679424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.43 % (1679424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.43 % (1679424)CaDiCaL version: 2.1.3
% 0.13/0.43 % (1679424)Termination reason: Refutation
% 0.13/0.43 % (1679424)Time elapsed: 0.010 s
% 0.13/0.43 % (1679424)Peak memory usage: 12 MB
% 0.13/0.43 % (1679424)Instructions burned: 12 (million)
% 0.13/0.43 % (1679416)Success in time 0.047 s
% 0.13/0.43 % Vampire exiting
%------------------------------------------------------------------------------