%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT059+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:02:16 PM UTC 2026
% Result : Theorem 3.40s 1.36s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 84 ( 26 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 96 ( 31 ~; 27 |; 29 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 21 ( 15 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( organization(X0)
=> ( ( has_immunity(X0,X1)
=> hazard_of_mortality(X0,X1) = very_low )
& ( ~ has_immunity(X0,X1)
=> ( ( ( is_aligned(X0,X1)
& positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = low )
& ( ( ~ is_aligned(X0,X1)
& positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod1 )
& ( ( is_aligned(X0,X1)
& ~ positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod2 )
& ( ( ~ is_aligned(X0,X1)
& ~ positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = high ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
fof(f8,conjecture,
! [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/sandbox2/benchmark/theBenchmark.p',assumption_2) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& has_immunity(X0,X2) )
=> hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f15,plain,
! [X0,X1] :
( ( ( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1) )
& ( ( ( hazard_of_mortality(X0,X1) = low
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod1
| is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod2
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = high
| is_aligned(X0,X1)
| positional_advantage(X0,X1) ) )
| has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f16,plain,
! [X0,X1] :
( ( ( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1) )
& ( ( ( hazard_of_mortality(X0,X1) = low
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod1
| is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod2
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = high
| is_aligned(X0,X1)
| positional_advantage(X0,X1) ) )
| has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f15]) ).
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,[],[f9]) ).
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,
( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
& organization(sK0)
& has_immunity(sK0,sK1)
& has_immunity(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f18]) ).
fof(f28,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ),
inference(cnf_transformation,[],[f16]) ).
fof(f29,plain,
has_immunity(sK0,sK2),
inference(cnf_transformation,[],[f19]) ).
fof(f30,plain,
has_immunity(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
organization(sK0),
inference(cnf_transformation,[],[f19]) ).
fof(f32,plain,
hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2),
inference(cnf_transformation,[],[f19]) ).
fof(f36,plain,
! [X0] :
( very_low = hazard_of_mortality(sK0,X0)
| ~ has_immunity(sK0,X0) ),
inference(resolution,[],[f28,f31]) ).
fof(f37,plain,
( very_low != hazard_of_mortality(sK0,sK1)
| ~ has_immunity(sK0,sK2) ),
inference(superposition,[],[f32,f36]) ).
fof(f38,plain,
very_low != hazard_of_mortality(sK0,sK1),
inference(forward_subsumption_resolution,[],[f37,f29]) ).
fof(f39,plain,
( very_low != very_low
| ~ has_immunity(sK0,sK1) ),
inference(superposition,[],[f38,f36]) ).
fof(f40,plain,
~ has_immunity(sK0,sK1),
inference(trivial_inequality_removal,[],[f39]) ).
fof(f41,plain,
$false,
inference(forward_subsumption_resolution,[],[f40,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT059+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 17:32:54 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.40/1.35 % (2620747)Detected formulas, will run a generic FOF schedule.
% 3.40/1.35 % (2620756)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=845425593:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.40/1.35 % (2620756)Refutation not found, incomplete strategy
% 3.40/1.35 % (2620756)------------------------------
% 3.40/1.35 % (2620756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.35 % (2620756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.35 % (2620756)CaDiCaL version: 2.1.3
% 3.40/1.35 % (2620756)Termination reason: Refutation not found, incomplete strategy
% 3.40/1.35 % (2620756)Time elapsed: 0.0000 s
% 3.40/1.35 % (2620756)Peak memory usage: 88 MB
% 3.40/1.35 % (2620757)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2531060478:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.40/1.35 % (2620754)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=728561206:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.40/1.35 % (2620755)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=130354377:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.40/1.35 % (2620753)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1169696490:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.40/1.35 % (2620752)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2323639004:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.40/1.35 % (2620755)Refutation not found, incomplete strategy
% 3.40/1.35 % (2620755)------------------------------
% 3.40/1.35 % (2620755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.35 % (2620755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.35 % (2620755)CaDiCaL version: 2.1.3
% 3.40/1.35 % (2620755)Termination reason: Refutation not found, incomplete strategy
% 3.40/1.36 % (2620755)Time elapsed: 0.001 s
% 3.40/1.36 % (2620755)Peak memory usage: 88 MB
% 3.40/1.36 % (2620757)First to succeed.
% 3.40/1.36 % (2620757)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2620747"
% 3.40/1.36 % (2620758)dis-21_1_sil=8000:lcm=predicate:random_seed=3007315865:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.40/1.36 % (2620758)Instruction limit reached!
% 3.40/1.36 % (2620758)------------------------------
% 3.40/1.36 % (2620758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.36 % (2620758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.36 % (2620758)CaDiCaL version: 2.1.3
% 3.40/1.36 % (2620758)Termination reason: Instruction limit
% 3.40/1.36 % (2620758)Termination phase: Saturation
% 3.40/1.36 % (2620758)Time elapsed: 0.049 s
% 3.40/1.36 % (2620758)Peak memory usage: 88 MB
% 3.40/1.36 % (2620758)Instructions burned: 130 (million)
% 3.40/1.36 % (2620756)------------------------------
% 3.40/1.36 % (2620756)------------------------------
% 3.40/1.36 % (2620766)lrs+10_1_sil=8000:sp=occurrence:random_seed=2727053658:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.40/1.36 % (2620766)Also succeeded, but the first one will report.
% 3.40/1.36 % (2620767)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1095403741:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.40/1.36 % (2620767)Also succeeded, but the first one will report.
% 3.40/1.36 % (2620755)------------------------------
% 3.40/1.36 % (2620755)------------------------------
% 3.40/1.36 % (2620757)Refutation found. Thanks to Tanya!
% 3.40/1.36 % SZS status Theorem for theBenchmark
% 3.40/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.36 % (2620757)------------------------------
% 3.40/1.36 % (2620757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.36 % (2620757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.36 % (2620757)CaDiCaL version: 2.1.3
% 3.40/1.36 % (2620757)Termination reason: Refutation
% 3.40/1.36 % (2620757)Time elapsed: 0.002 s
% 3.40/1.36 % (2620757)Peak memory usage: 88 MB
% 3.40/1.36 % (2620757)Instructions burned: 2 (million)
% 3.40/1.36 % (2620757)------------------------------
% 3.40/1.36 % (2620757)------------------------------
% 3.40/1.36 % (2620747)Success in time 0.414 s
% 3.40/1.36 % Vampire exiting
%------------------------------------------------------------------------------