%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT043+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 : n011.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 12:02:41 PM UTC 2026
% Result : Theorem 0.15s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 197 ( 49 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 225 ( 80 ~; 74 |; 53 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 71 ( 65 !; 6 ?)
% 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(f2,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) ).
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,X1,X2] :
( ( organization(X0)
& ~ has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> ( ( ( greater(capability(X0,X2),capability(X0,X1))
& greater_or_equal(position(X0,X2),position(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ( greater_or_equal(capability(X0,X2),capability(X0,X1))
& greater(position(X0,X2),position(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ( capability(X0,X2) = capability(X0,X1)
& position(X0,X2) = position(X0,X1) )
=> hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).
fof(f8,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) )
& ( ( smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& internal_friction(X0,X2) = internal_friction(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(f9,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( greater(external_ties(X0,X2),external_ties(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) )
& ( external_ties(X0,X2) = external_ties(X0,X1)
=> position(X0,X2) = position(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(f10,conjecture,
! [X0,X1,X2] :
( ( organization(X0)
& ~ has_immunity(X0,X1)
& ~ has_immunity(X0,X2)
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& greater(internal_friction(X0,X2),internal_friction(X0,X1))
& external_ties(X0,X1) = external_ties(X0,X2) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2] :
( ( organization(X0)
& ~ has_immunity(X0,X1)
& ~ has_immunity(X0,X2)
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& greater(internal_friction(X0,X2),internal_friction(X0,X1))
& external_ties(X0,X1) = external_ties(X0,X2) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ( greater(X0,X1)
| X0 = X1 )
=> greater_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f13,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| X0 = X1 )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f14,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1)) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1)) )
& ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| position(X0,X2) != position(X0,X1) ) )
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1)) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1)) )
& ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| position(X0,X2) != position(X0,X1) ) )
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( ( greater(capability(X0,X2),capability(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( capability(X0,X2) = capability(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( ( greater(capability(X0,X2),capability(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( capability(X0,X2) = capability(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( ( greater(position(X0,X2),position(X0,X1))
| ~ greater(external_ties(X0,X2),external_ties(X0,X1)) )
& ( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f24,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)
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& greater(internal_friction(X0,X2),internal_friction(X0,X1))
& external_ties(X0,X1) = external_ties(X0,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f25,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)
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& greater(internal_friction(X0,X2),internal_friction(X0,X1))
& external_ties(X0,X1) = external_ties(X0,X2) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f27,plain,
( ~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
& organization(sK0)
& ~ has_immunity(sK0,sK1)
& ~ has_immunity(sK0,sK2)
& stock_of_knowledge(sK0,sK2) = stock_of_knowledge(sK0,sK1)
& greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
& external_ties(sK0,sK2) = external_ties(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f25]) ).
fof(f28,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f32,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X2,X0,X1] :
( external_ties(X0,X2) != external_ties(X0,X1)
| position(X0,X2) = position(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f45,plain,
external_ties(sK0,sK2) = external_ties(sK0,sK1),
inference(cnf_transformation,[],[f27]) ).
fof(f46,plain,
greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1)),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
stock_of_knowledge(sK0,sK2) = stock_of_knowledge(sK0,sK1),
inference(cnf_transformation,[],[f27]) ).
fof(f48,plain,
~ has_immunity(sK0,sK2),
inference(cnf_transformation,[],[f27]) ).
fof(f49,plain,
~ has_immunity(sK0,sK1),
inference(cnf_transformation,[],[f27]) ).
fof(f50,plain,
organization(sK0),
inference(cnf_transformation,[],[f27]) ).
fof(f51,plain,
~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)),
inference(cnf_transformation,[],[f27]) ).
fof(f52,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f28]) ).
fof(f53,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f30]) ).
fof(f77,plain,
! [X0] :
( external_ties(sK0,sK1) != external_ties(sK0,X0)
| position(sK0,sK2) = position(sK0,X0)
| ~ organization(sK0) ),
inference(superposition,[],[f43,f45]) ).
fof(f79,plain,
! [X0] :
( external_ties(sK0,sK1) != external_ties(sK0,X0)
| position(sK0,sK2) = position(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f77,f50]) ).
fof(f89,plain,
position(sK0,sK2) = position(sK0,sK1),
inference(equality_resolution,[],[f79]) ).
fof(f90,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| smaller(capability(sK0,sK2),capability(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f41,f46]) ).
fof(f92,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| smaller(capability(sK0,sK2),capability(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f90,f50]) ).
fof(f93,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK1))
| smaller(capability(sK0,sK2),capability(sK0,sK1)) ),
inference(forward_demodulation,[],[f92,f47]) ).
fof(f94,plain,
smaller(capability(sK0,sK2),capability(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f93,f52]) ).
fof(f95,plain,
greater(capability(sK0,sK1),capability(sK0,sK2)),
inference(resolution,[],[f94,f32]) ).
fof(f125,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater_or_equal(position(sK0,sK1),position(sK0,sK2))
| ~ organization(sK0)
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1) ),
inference(resolution,[],[f39,f95]) ).
fof(f127,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater_or_equal(position(sK0,sK1),position(sK0,sK2))
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f125,f50]) ).
fof(f128,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater_or_equal(position(sK0,sK1),position(sK0,sK2))
| has_immunity(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f127,f48]) ).
fof(f129,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater_or_equal(position(sK0,sK1),position(sK0,sK2)) ),
inference(forward_subsumption_resolution,[],[f128,f49]) ).
fof(f139,plain,
( ~ greater_or_equal(position(sK0,sK1),position(sK0,sK1))
| smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
inference(forward_demodulation,[],[f129,f89]) ).
fof(f140,plain,
smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)),
inference(forward_subsumption_resolution,[],[f139,f53]) ).
fof(f154,plain,
greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)),
inference(resolution,[],[f140,f32]) ).
fof(f156,plain,
$false,
inference(forward_subsumption_resolution,[],[f154,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT043+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 17:26:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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
% 0.15/0.46 % (2640165)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (2640171)% WARNING: option uhcvi not known.
% 0.15/0.46 % (2640171)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1384620781:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.46 % (2640170)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1241141947_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.46 % (2640172)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3281483274:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.46 % (2640173)dis+10_1_sil=32000:sp=arity:random_seed=2986292074:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.46 % (2640174)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3010779951:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.46 % (2640175)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3509952127:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.46 % (2640176)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4155520356:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.46 % TRYING [1]
% 0.15/0.46 % TRYING [2]
% 0.15/0.46 % TRYING [3]
% 0.15/0.46 % (2640173) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2640165-2640173"...
% 0.15/0.46 % (2640175) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2640165-2640175"...
% 0.15/0.46 % (2640173)...printing done.
% 0.15/0.46 % TRYING [4]
% 0.15/0.46 % (2640173)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Theorem for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (2640173)------------------------------
% 0.18/0.46 % (2640173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (2640173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (2640173)CaDiCaL version: 2.1.3
% 0.18/0.46 % (2640173)Termination reason: Refutation
% 0.18/0.46 % (2640173)Time elapsed: 0.006 s
% 0.18/0.46 % (2640173)Peak memory usage: 11 MB
% 0.18/0.46 % (2640173)Instructions burned: 8 (million)
% 0.18/0.46 % (2640165)Success in time 0.045 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------