%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT054-1 : 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 : n026.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 12:02:15 PM UTC 2026
% Result : Unsatisfiable 1.35s 1.13s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 87 ( 19 unt; 5 def)
% Number of atoms : 205 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 222 ( 104 ~; 113 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| smaller(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
fof(f12,axiom,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_38) ).
fof(f13,axiom,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_39) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_40) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_42) ).
fof(f18,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_44) ).
fof(f21,axiom,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_47) ).
fof(f22,axiom,
! [X2,X0,X1] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14_48) ).
fof(f23,axiom,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_49) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_50) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater(capability(X0,X2),capability(X0,X1))
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_16_51) ).
fof(f26,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_52) ).
fof(f27,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_53) ).
fof(f28,negated_conjecture,
age(sk1,sk2) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_54) ).
fof(f29,plain,
zero = age(sk1,sk2),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
smaller_or_equal(age(sk1,sk3),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_55) ).
fof(f31,negated_conjecture,
greater(age(sk1,sk4),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_56) ).
fof(f33,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk4),hazard_of_mortality(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_58) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f25,f13]) ).
fof(f36,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
inference(forward_subsumption_resolution,[],[f24,f14]) ).
fof(f43,plain,
( smaller(age(sk1,sk3),sigma)
| sigma = age(sk1,sk3) ),
inference(resolution,[],[f1,f30]) ).
fof(f47,definition,
( spl0_1
<=> sigma = age(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f49,plain,
( sigma = age(sk1,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f51,definition,
( spl0_2
<=> smaller(age(sk1,sk3),sigma) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f53,plain,
( smaller(age(sk1,sk3),sigma)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f43,f51,f47]) ).
fof(f74,plain,
( greater(sigma,age(sk1,sk3))
| ~ spl0_2 ),
inference(resolution,[],[f53,f7]) ).
fof(f78,plain,
( ~ greater(age(sk1,sk3),sigma)
| ~ spl0_2 ),
inference(resolution,[],[f74,f9]) ).
fof(f80,plain,
( zero != zero
| ~ organization(sk1)
| is_aligned(sk1,sk2) ),
inference(superposition,[],[f21,f29]) ).
fof(f81,plain,
( ~ organization(sk1)
| is_aligned(sk1,sk2) ),
inference(trivial_inequality_removal,[],[f80]) ).
fof(f82,plain,
is_aligned(sk1,sk2),
inference(forward_subsumption_resolution,[],[f81,f26]) ).
fof(f96,plain,
! [X0] :
( zero != zero
| ~ dissimilar(sk1,sk2,X0)
| greater(age(sk1,X0),sigma) ),
inference(superposition,[],[f36,f29]) ).
fof(f97,plain,
! [X0] :
( greater(age(sk1,X0),sigma)
| ~ dissimilar(sk1,sk2,X0) ),
inference(trivial_inequality_removal,[],[f96]) ).
fof(f107,definition,
( spl0_5
<=> has_immunity(sk1,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f108,plain,
( ~ has_immunity(sk1,sk4)
| spl0_5 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( has_immunity(sk1,sk4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f119,plain,
! [X0] :
( zero != zero
| ~ organization(sk1)
| ~ greater(age(sk1,X0),sigma)
| dissimilar(sk1,sk2,X0) ),
inference(superposition,[],[f23,f29]) ).
fof(f120,plain,
! [X0] :
( ~ organization(sk1)
| ~ greater(age(sk1,X0),sigma)
| dissimilar(sk1,sk2,X0) ),
inference(trivial_inequality_removal,[],[f119]) ).
fof(f121,plain,
! [X0] :
( ~ greater(age(sk1,X0),sigma)
| dissimilar(sk1,sk2,X0) ),
inference(forward_subsumption_resolution,[],[f120,f26]) ).
fof(f124,plain,
! [X2,X0,X1] :
( has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ organization(X0) ),
inference(resolution,[],[f35,f22]) ).
fof(f126,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| has_immunity(X0,X1)
| ~ is_aligned(X0,X2)
| is_aligned(X0,X1) ),
inference(duplicate_literal_removal,[],[f124]) ).
fof(f135,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ spl0_2 ),
inference(resolution,[],[f97,f78]) ).
fof(f144,plain,
dissimilar(sk1,sk2,sk4),
inference(resolution,[],[f121,f31]) ).
fof(f148,plain,
( ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk4) ),
inference(resolution,[],[f144,f16]) ).
fof(f151,plain,
~ is_aligned(sk1,sk4),
inference(forward_subsumption_resolution,[],[f148,f82]) ).
fof(f167,plain,
( ~ is_aligned(sk1,sk2)
| is_aligned(sk1,sk3)
| ~ organization(sk1)
| ~ spl0_2 ),
inference(resolution,[],[f135,f18]) ).
fof(f168,plain,
( is_aligned(sk1,sk3)
| ~ organization(sk1)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f167,f82]) ).
fof(f169,plain,
( is_aligned(sk1,sk3)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f168,f26]) ).
fof(f199,plain,
( has_endowment(sk1)
| ~ organization(sk1)
| ~ spl0_5 ),
inference(resolution,[],[f109,f12]) ).
fof(f200,plain,
( ~ organization(sk1)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f199,f27]) ).
fof(f201,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f200,f26]) ).
fof(f202,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f230,plain,
( ~ organization(sk1)
| has_immunity(sk1,sk4)
| ~ is_aligned(sk1,sk3)
| is_aligned(sk1,sk4) ),
inference(resolution,[],[f126,f33]) ).
fof(f243,plain,
( has_immunity(sk1,sk4)
| ~ is_aligned(sk1,sk3)
| is_aligned(sk1,sk4) ),
inference(forward_subsumption_resolution,[],[f230,f26]) ).
fof(f245,plain,
( ~ is_aligned(sk1,sk3)
| is_aligned(sk1,sk4)
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f243,f108]) ).
fof(f247,plain,
( is_aligned(sk1,sk4)
| ~ spl0_2
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f245,f169]) ).
fof(f248,plain,
( $false
| ~ spl0_2
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f247,f151]) ).
fof(f249,plain,
( ~ spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f251,plain,
( ~ is_aligned(sk1,sk3)
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f245,f151]) ).
fof(f254,plain,
( greater(sigma,sigma)
| ~ dissimilar(sk1,sk2,sk3)
| ~ spl0_1 ),
inference(superposition,[],[f97,f49]) ).
fof(f269,definition,
( spl0_10
<=> dissimilar(sk1,sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f271,plain,
( ~ dissimilar(sk1,sk2,sk3)
| spl0_10 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,definition,
( spl0_11
<=> greater(sigma,sigma) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f275,plain,
( greater(sigma,sigma)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( ~ spl0_10
| spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f254,f47,f273,f269]) ).
fof(f312,plain,
( ~ is_aligned(sk1,sk2)
| is_aligned(sk1,sk3)
| ~ organization(sk1)
| spl0_10 ),
inference(resolution,[],[f271,f18]) ).
fof(f313,plain,
( is_aligned(sk1,sk3)
| ~ organization(sk1)
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f312,f82]) ).
fof(f314,plain,
( ~ organization(sk1)
| spl0_5
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f313,f251]) ).
fof(f315,plain,
( $false
| spl0_5
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f314,f26]) ).
fof(f316,plain,
( spl0_5
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f320,plain,
( ~ greater(sigma,sigma)
| ~ spl0_11 ),
inference(resolution,[],[f275,f9]) ).
fof(f324,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f320,f275]) ).
fof(f325,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f324]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f54]) ).
cnf(s5,plain,
~ spl0_5,
inference(sat_conversion,[],[f202]) ).
cnf(s7,plain,
( ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f249]) ).
cnf(s9,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f276]) ).
cnf(s14,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f316]) ).
cnf(s16,plain,
~ spl0_11,
inference(sat_conversion,[],[f325]) ).
cnf(s17,plain,
( ~ spl0_1
| ~ spl0_10 ),
inference(rat,[],[s9,s16]) ).
cnf(s18,plain,
spl0_10,
inference(rat,[],[s14,s5]) ).
cnf(s19,plain,
~ spl0_2,
inference(rat,[],[s7,s5]) ).
cnf(s20,plain,
~ spl0_1,
inference(rat,[],[s17,s18]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s19,s20]) ).
fof(f326,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT054-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:32:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 1.35/1.13 % (3087978)Input is clausal, will run a generic CNF schedule.
% 1.35/1.13 % (3087986)lrs+10_1_sil=8000:sp=occurrence:random_seed=3000390181:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.35/1.13 % (3087986)First to succeed.
% 1.35/1.13 % (3087986)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3087978"
% 1.35/1.13 % (3087983)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=1674667721:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.35/1.13 % (3087984)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2981702593:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.35/1.13 % (3087985)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2394333987:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.35/1.13 % (3087987)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2718402359:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.35/1.13 % (3087989)dis-21_1_sil=8000:lcm=predicate:random_seed=525882758:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.35/1.13 % (3087988)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=127376343:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.35/1.13 % (3087989)Instruction limit reached!
% 1.35/1.13 % (3087989)------------------------------
% 1.35/1.13 % (3087989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.35/1.13 % (3087989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/1.13 % (3087989)CaDiCaL version: 2.1.3
% 1.35/1.13 % (3087989)Termination reason: Instruction limit
% 1.35/1.13 % (3087989)Termination phase: Saturation
% 1.35/1.13 % (3087989)Time elapsed: 0.075 s
% 1.35/1.13 % (3087989)Peak memory usage: 89 MB
% 1.35/1.13 % (3087989)Instructions burned: 118 (million)
% 1.35/1.13 % (3087987)Instruction limit reached!
% 1.35/1.13 % (3087987)------------------------------
% 1.35/1.13 % (3087987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.35/1.13 % (3087987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/1.13 % (3087987)CaDiCaL version: 2.1.3
% 1.35/1.13 % (3087987)Termination reason: Instruction limit
% 1.35/1.13 % (3087987)Termination phase: Saturation
% 1.35/1.13 % (3087987)Time elapsed: 0.081 s
% 1.35/1.13 % (3087987)Peak memory usage: 89 MB
% 1.35/1.13 % (3087987)Instructions burned: 114 (million)
% 1.35/1.13 % (3087986)Refutation found. Thanks to Tanya!
% 1.35/1.13 % SZS status Unsatisfiable for theBenchmark
% 1.35/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.33 % (3087986)------------------------------
% 2.65/1.33 % (3087986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.33 % (3087986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.33 % (3087986)CaDiCaL version: 2.1.3
% 2.65/1.33 % (3087986)Termination reason: Refutation
% 2.65/1.33 % (3087986)Time elapsed: 0.006 s
% 2.65/1.33 % (3087986)Peak memory usage: 89 MB
% 2.65/1.33 % (3087986)Instructions burned: 11 (million)
% 2.65/1.33 % (3087986)------------------------------
% 2.65/1.33 % (3087986)------------------------------
% 2.65/1.33 % (3087978)Success in time 0.284 s
% 2.65/1.33 % Vampire exiting
%------------------------------------------------------------------------------