%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT057-1 : 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 : n002.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 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 17 unt; 2 def)
% Number of atoms : 84 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 76 ( 37 ~; 37 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
fof(f13,axiom,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',assumption_3_39) ).
fof(f21,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_40) ).
fof(f22,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_41) ).
fof(f23,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_42) ).
fof(f24,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_43) ).
fof(f25,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_44) ).
fof(f26,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_45) ).
fof(f27,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/sandbox2/benchmark/theBenchmark.p',theorem_6_46) ).
fof(f29,definition,
( spl0_1
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f30,plain,
( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f31,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f33,definition,
( spl0_2
<=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f35,plain,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f36,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f27,f33,f29]) ).
fof(f37,plain,
greater(eta,age(sk2,sk3)),
inference(superposition,[],[f26,f23]) ).
fof(f46,plain,
smaller(age(sk2,sk3),eta),
inference(resolution,[],[f8,f37]) ).
fof(f70,plain,
smaller_or_equal(age(sk2,sk3),eta),
inference(resolution,[],[f46,f2]) ).
fof(f83,plain,
! [X0] :
( ~ smaller_or_equal(age(sk2,X0),eta)
| has_immunity(sk2,X0) ),
inference(resolution,[],[f13,f22]) ).
fof(f85,plain,
! [X0] :
( ~ has_immunity(sk2,X0)
| ~ greater(age(sk2,X0),eta) ),
inference(resolution,[],[f14,f22]) ).
fof(f97,plain,
! [X0,X1] :
( ~ has_immunity(sk2,X0)
| ~ has_immunity(sk2,X1)
| hazard_of_mortality(sk2,X0) = hazard_of_mortality(sk2,X1) ),
inference(resolution,[],[f19,f21]) ).
fof(f100,plain,
! [X0,X1] :
( ~ has_immunity(sk2,X0)
| has_immunity(sk2,X1)
| greater(hazard_of_mortality(sk2,X1),hazard_of_mortality(sk2,X0)) ),
inference(resolution,[],[f20,f21]) ).
fof(f104,plain,
has_immunity(sk2,sk4),
inference(resolution,[],[f83,f24]) ).
fof(f105,plain,
has_immunity(sk2,sk3),
inference(resolution,[],[f83,f70]) ).
fof(f111,plain,
! [X0] :
( ~ has_immunity(sk2,X0)
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,X0) ),
inference(resolution,[],[f97,f104]) ).
fof(f114,plain,
! [X0] :
( has_immunity(sk2,X0)
| greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4)) ),
inference(resolution,[],[f100,f104]) ).
fof(f121,plain,
hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3),
inference(resolution,[],[f111,f105]) ).
fof(f122,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f121,f31]) ).
fof(f123,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f122]) ).
fof(f124,plain,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f35,f30]) ).
fof(f165,plain,
! [X0] :
( greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4))
| ~ greater(age(sk2,X0),eta) ),
inference(resolution,[],[f114,f85]) ).
fof(f166,plain,
( ! [X0] :
( ~ greater(age(sk2,X0),eta)
| greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk3)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f165,f30]) ).
fof(f851,plain,
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3))
| ~ spl0_1 ),
inference(resolution,[],[f166,f25]) ).
fof(f875,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f851,f124]) ).
fof(f876,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f875]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f36]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f123]) ).
cnf(s10,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f876]) ).
cnf(s11,plain,
spl0_2,
inference(rat,[],[s10,s3]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s11,s3]) ).
fof(f877,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT057-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % 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 17:32:51 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.16/0.48 % (3763228)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (3763238)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=747856937:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (3763234)% WARNING: option uhcvi not known.
% 0.16/0.48 % (3763233)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2870366213_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (3763234)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1113592851:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (3763235)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=806801979:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (3763236)dis+10_1_sil=32000:sp=arity:random_seed=4044433355:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (3763237)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1636034693:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (3763239)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=415188678:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % TRYING [1]
% 0.16/0.48 % TRYING [2]
% 0.16/0.48 % TRYING [3]
% 0.16/0.48 % TRYING [4]
% 0.16/0.48 % (3763234) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3763228-3763234"...
% 0.16/0.48 % TRYING [5]
% 0.16/0.48 % (3763238) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3763228-3763238"...
% 0.16/0.48 % (3763238)...printing done.
% 0.16/0.48 % (3763236) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3763228-3763236"...
% 0.16/0.48 % (3763234)...printing done.
% 0.16/0.48 % (3763238)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (3763238)------------------------------
% 0.16/0.48 % (3763238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (3763238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (3763238)CaDiCaL version: 2.1.3
% 0.16/0.48 % (3763238)Termination reason: Refutation
% 0.16/0.48 % (3763238)Time elapsed: 0.014 s
% 0.16/0.48 % (3763238)Peak memory usage: 12 MB
% 0.16/0.48 % (3763238)Instructions burned: 41 (million)
% 0.16/0.48 % (3763228)Success in time 0.044 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------