%------------------------------------------------------------------------------
% 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/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 : Theorem 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 17 unt; 2 def)
% Number of atoms : 188 ( 26 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 199 ( 73 ~; 67 |; 45 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 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 : 66 ( 0 sgn 58 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(f7,axiom,
! [X0] :
( has_endowment(X0)
<=> ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( 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) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( 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) ).
fof(f10,conjecture,
! [X0,X1,X2,X3] :
( ( organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_6) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [X0] :
( has_endowment(X0)
=> ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f16,plain,
! [X0] :
( ! [X1] :
( organization(X0)
& ( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta) )
& ( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) ) )
| ~ has_endowment(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f17,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f18,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f20,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
? [X0,X1,X2,X3] :
( ( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater(eta,zero) ),
inference(ennf_transformation,[],[f11]) ).
fof(f22,plain,
? [X0,X1,X2,X3] :
( ( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater(eta,zero) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f24,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f26,plain,
( ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) )
& organization(sK0)
& has_endowment(sK0)
& zero = age(sK0,sK1)
& smaller_or_equal(age(sK0,sK2),eta)
& greater(age(sK0,sK3),eta)
& greater(eta,zero) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f22]) ).
fof(f29,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f31,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f35,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f36,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ has_immunity(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f39,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f40,plain,
greater(eta,zero),
inference(cnf_transformation,[],[f26]) ).
fof(f41,plain,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f44,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f45,plain,
organization(sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f49,definition,
( spl4_1
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f50,plain,
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl4_2
<=> greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f55,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| spl4_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f46,f53,f49]) ).
fof(f58,plain,
smaller(zero,eta),
inference(resolution,[],[f31,f40]) ).
fof(f61,plain,
smaller_or_equal(zero,eta),
inference(resolution,[],[f58,f29]) ).
fof(f85,plain,
( ~ has_immunity(sK0,sK3)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f35,f41]) ).
fof(f88,plain,
~ has_immunity(sK0,sK3),
inference(forward_subsumption_resolution,[],[f85,f44]) ).
fof(f89,plain,
( has_immunity(sK0,sK2)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f36,f42]) ).
fof(f90,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK0,sK1)
| ~ has_endowment(sK0) ),
inference(superposition,[],[f36,f43]) ).
fof(f91,plain,
( has_immunity(sK0,sK1)
| ~ has_endowment(sK0) ),
inference(forward_subsumption_resolution,[],[f90,f61]) ).
fof(f92,plain,
has_immunity(sK0,sK2),
inference(forward_subsumption_resolution,[],[f89,f44]) ).
fof(f93,plain,
has_immunity(sK0,sK1),
inference(forward_subsumption_resolution,[],[f91,f44]) ).
fof(f94,plain,
! [X0] :
( ~ organization(sK0)
| ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f38,f92]) ).
fof(f95,plain,
! [X0] :
( ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f94,f45]) ).
fof(f171,plain,
hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1),
inference(resolution,[],[f95,f93]) ).
fof(f174,plain,
spl4_1,
inference(avatar_split_clause,[],[f171,f49]) ).
fof(f188,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1))
| ~ spl4_1
| spl4_2 ),
inference(forward_demodulation,[],[f55,f50]) ).
fof(f189,plain,
( ~ organization(sK0)
| ~ has_immunity(sK0,sK1)
| has_immunity(sK0,sK3)
| ~ spl4_1
| spl4_2 ),
inference(resolution,[],[f188,f39]) ).
fof(f200,plain,
( ~ has_immunity(sK0,sK1)
| has_immunity(sK0,sK3)
| ~ spl4_1
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f189,f45]) ).
fof(f201,plain,
( has_immunity(sK0,sK3)
| ~ spl4_1
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f200,f93]) ).
fof(f202,plain,
( $false
| ~ spl4_1
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f201,f88]) ).
fof(f203,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_contradiction_clause,[],[f202]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f56]) ).
cnf(s6,plain,
spl4_1,
inference(sat_conversion,[],[f174]) ).
cnf(s8,plain,
( ~ spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f203]) ).
cnf(s9,plain,
spl4_2,
inference(rat,[],[s8,s6]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s9,s6]) ).
fof(f204,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT057+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 17:29:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.46 % (3196668)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (3196678)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3785869887:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (3196673)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=326410775_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (3196679)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=10045018:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (3196675)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1829396738:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (3196676)dis+10_1_sil=32000:sp=arity:random_seed=3106734139:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (3196677)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3957081419:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (3196674)% WARNING: option uhcvi not known.
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % (3196674)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3574548719:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (3196676) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3196668-3196676"...
% 0.10/0.46 % TRYING [5]
% 0.10/0.46 % (3196676)...printing done.
% 0.10/0.46 % (3196676)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Theorem for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (3196676)------------------------------
% 0.10/0.46 % (3196676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (3196676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (3196676)CaDiCaL version: 2.1.3
% 0.10/0.46 % (3196676)Termination reason: Refutation
% 0.10/0.46 % (3196676)Time elapsed: 0.006 s
% 0.10/0.46 % (3196676)Peak memory usage: 12 MB
% 0.10/0.46 % (3196676)Instructions burned: 7 (million)
% 0.10/0.46 % (3196668)Success in time 0.04 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------