%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT056-1 : 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 : n017.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 12:02:45 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of formulae : 82 ( 23 unt; 7 def)
% Number of atoms : 162 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 145 ( 65 ~; 73 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_4) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
fof(f13,axiom,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_32) ).
fof(f14,axiom,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_33) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_38) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3_39) ).
fof(f21,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_40) ).
fof(f22,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_41) ).
fof(f23,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_42) ).
fof(f24,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_43) ).
fof(f25,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_44) ).
fof(f26,negated_conjecture,
greater_or_equal(eta,sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_45) ).
fof(f27,negated_conjecture,
greater(sigma,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_46) ).
fof(f28,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_47) ).
fof(f32,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| smaller(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f34,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f38,plain,
! [X0,X1] :
( ~ smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f41,plain,
! [X0,X1] :
( smaller_or_equal(age(X0,X1),eta)
| has_endowment(X0)
| has_immunity(X0,X1) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f42,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| has_endowment(X0)
| ~ has_immunity(X0,X1) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| organization(X0)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ has_immunity(X0,X1)
| organization(X0)
| has_immunity(X0,X2)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f49,plain,
~ organization(sk2),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f50,plain,
~ has_endowment(sk2),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f51,plain,
~ smaller_or_equal(age(sk2,sk4),eta),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f52,plain,
~ greater_or_equal(eta,sigma),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f54,definition,
( spl0_1
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f58,definition,
( spl0_2
<=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f60,plain,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| spl0_2 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f28,f58,f54]) ).
fof(f67,plain,
! [X0] :
( ~ greater(X0,sigma)
| greater(X0,zero) ),
inference(resolution,[],[f10,f27]) ).
fof(f70,plain,
( greater(eta,sigma)
| eta = sigma ),
inference(resolution,[],[f34,f52]) ).
fof(f74,definition,
( spl0_3
<=> eta = sigma ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( eta = sigma
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_4
<=> greater(eta,sigma) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( greater(eta,sigma)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f70,f78,f74]) ).
fof(f86,plain,
( greater(eta,zero)
| ~ spl0_3 ),
inference(superposition,[],[f27,f76]) ).
fof(f93,definition,
( spl0_6
<=> greater(eta,zero) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f97,plain,
( has_endowment(sk2)
| has_immunity(sk2,sk4) ),
inference(resolution,[],[f41,f51]) ).
fof(f98,plain,
! [X0,X1] :
( smaller(age(X0,X1),eta)
| has_immunity(X0,X1)
| has_endowment(X0) ),
inference(resolution,[],[f41,f32]) ).
fof(f101,plain,
has_immunity(sk2,sk4),
inference(forward_subsumption_resolution,[],[f97,f50]) ).
fof(f103,definition,
( spl0_7
<=> has_immunity(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f105,plain,
( has_immunity(sk2,sk3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f114,plain,
( has_endowment(sk2)
| ~ has_immunity(sk2,sk5) ),
inference(resolution,[],[f42,f25]) ).
fof(f117,plain,
~ has_immunity(sk2,sk5),
inference(forward_subsumption_resolution,[],[f114,f50]) ).
fof(f120,plain,
( ! [X0] :
( ~ has_immunity(sk2,X0)
| organization(sk2)
| hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,X0) )
| ~ spl0_7 ),
inference(resolution,[],[f47,f105]) ).
fof(f121,plain,
( ! [X0] :
( ~ has_immunity(sk2,X0)
| hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,X0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f120,f49]) ).
fof(f123,plain,
! [X0] :
( organization(sk2)
| has_immunity(sk2,X0)
| greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4)) ),
inference(resolution,[],[f48,f101]) ).
fof(f126,plain,
! [X0] :
( greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X0) ),
inference(forward_subsumption_resolution,[],[f123,f49]) ).
fof(f128,plain,
( greater(eta,zero)
| ~ spl0_4 ),
inference(resolution,[],[f67,f80]) ).
fof(f129,plain,
( spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f128,f78,f93]) ).
fof(f169,plain,
( smaller(zero,eta)
| has_immunity(sk2,sk3)
| has_endowment(sk2) ),
inference(superposition,[],[f98,f23]) ).
fof(f186,plain,
( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3)
| ~ spl0_7 ),
inference(resolution,[],[f121,f101]) ).
fof(f190,plain,
( spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f186,f103,f54]) ).
fof(f216,plain,
( has_immunity(sk2,sk5)
| spl0_2 ),
inference(resolution,[],[f126,f60]) ).
fof(f223,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f216,f117]) ).
fof(f224,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f232,plain,
( smaller(zero,eta)
| has_immunity(sk2,sk3) ),
inference(forward_subsumption_resolution,[],[f169,f50]) ).
fof(f234,definition,
( spl0_14
<=> smaller(zero,eta) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f236,plain,
( smaller(zero,eta)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f232,f234,f103]) ).
fof(f256,plain,
( ~ greater(eta,zero)
| ~ spl0_14 ),
inference(resolution,[],[f236,f38]) ).
fof(f262,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f86,f74,f93]) ).
fof(f265,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f256,f234,f93]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f61]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f81]) ).
cnf(s5,plain,
( ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f129]) ).
cnf(s8,plain,
( spl0_1
| ~ spl0_7 ),
inference(sat_conversion,[],[f190]) ).
cnf(s11,plain,
spl0_2,
inference(sat_conversion,[],[f224]) ).
cnf(s14,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f237]) ).
cnf(s21,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f262]) ).
cnf(s24,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f265]) ).
cnf(s27,plain,
~ spl0_1,
inference(rat,[],[s1,s11]) ).
cnf(s28,plain,
~ spl0_7,
inference(rat,[],[s8,s27]) ).
cnf(s29,plain,
spl0_14,
inference(rat,[],[s14,s28]) ).
cnf(s31,plain,
~ spl0_6,
inference(rat,[],[s24,s29]) ).
cnf(s32,plain,
~ spl0_3,
inference(rat,[],[s21,s31]) ).
cnf(s33,plain,
~ spl0_4,
inference(rat,[],[s5,s31]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s2,s33,s32]) ).
fof(f266,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT056-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 17:24:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.45 % (2823230)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (2823235)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1481936743_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % (2823238)dis+10_1_sil=32000:sp=arity:random_seed=3574447780:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45 % (2823237)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2076455237:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45 % (2823239)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1079110806:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (2823240)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2228068913:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % (2823241)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=221444416:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45 % (2823236)% WARNING: option uhcvi not known.
% 0.09/0.45 % TRYING [1]
% 0.09/0.45 % TRYING [2]
% 0.09/0.45 % (2823236)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=848058463:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45 % TRYING [3]
% 0.09/0.45 % TRYING [4]
% 0.09/0.45 % (2823236) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2823230-2823236"...
% 0.09/0.45 % TRYING [5]
% 0.09/0.45 % (2823236)...printing done.
% 0.09/0.45 % (2823236)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (2823236)------------------------------
% 0.09/0.45 % (2823236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (2823236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (2823236)CaDiCaL version: 2.1.3
% 0.09/0.45 % (2823236)Termination reason: Refutation
% 0.09/0.45 % (2823236)Time elapsed: 0.004 s
% 0.09/0.45 % (2823236)Peak memory usage: 12 MB
% 0.09/0.45 % (2823236)Instructions burned: 9 (million)
% 0.09/0.45 % (2823230)Success in time 0.04 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------