%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT046-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:02:13 PM UTC 2026
% Result : Unsatisfiable 2.65s 1.25s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 61 ( 19 unt; 4 def)
% Number of atoms : 137 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 140 ( 64 ~; 72 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
fof(f12,axiom,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_41) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ organization(X0)
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_42) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| greater(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_45) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ organization(X0)
| greater(position(X0,X1),position(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_48) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0)
| greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_7_50) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0)
| greater(external_ties(X0,X1),external_ties(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8_51) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| internal_friction(X0,X1) = internal_friction(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_9_52) ).
fof(f26,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_1_53) ).
fof(f27,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_1_54) ).
fof(f28,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_1_55) ).
fof(f29,negated_conjecture,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_1_56) ).
fof(f31,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f49,plain,
! [X0,X1] : internal_friction(sk1,X0) = internal_friction(sk1,X1),
inference(resolution,[],[f25,f26]) ).
fof(f63,plain,
( ~ organization(sk1)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolution,[],[f23,f28]) ).
fof(f67,plain,
greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f63,f26]) ).
fof(f72,plain,
( ~ organization(sk1)
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(resolution,[],[f24,f28]) ).
fof(f76,plain,
greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f72,f26]) ).
fof(f77,plain,
( ~ organization(sk1)
| greater(position(sk1,sk3),position(sk1,sk2)) ),
inference(resolution,[],[f76,f20]) ).
fof(f82,plain,
greater(position(sk1,sk3),position(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f77,f26]) ).
fof(f85,plain,
( ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| greater(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(resolution,[],[f16,f67]) ).
fof(f87,plain,
( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| greater(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(forward_subsumption_resolution,[],[f85,f26]) ).
fof(f89,definition,
( spl0_1
<=> greater(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f91,plain,
( greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,definition,
( spl0_2
<=> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f95,plain,
( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| spl0_2 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f87,f93,f89]) ).
fof(f126,plain,
greater_or_equal(position(sk1,sk3),position(sk1,sk2)),
inference(resolution,[],[f82,f5]) ).
fof(f134,definition,
( spl0_4
<=> has_immunity(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f135,plain,
( ~ has_immunity(sk1,sk3)
| spl0_4 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f136,plain,
( has_immunity(sk1,sk3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f138,definition,
( spl0_5
<=> has_immunity(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f139,plain,
( ~ has_immunity(sk1,sk2)
| spl0_5 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f140,plain,
( has_immunity(sk1,sk2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f145,plain,
( ! [X0] : ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,sk2))
| spl0_2 ),
inference(superposition,[],[f95,f49]) ).
fof(f208,plain,
( has_endowment(sk1)
| ~ organization(sk1)
| ~ spl0_4 ),
inference(resolution,[],[f136,f12]) ).
fof(f209,plain,
( ~ organization(sk1)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f208,f27]) ).
fof(f210,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f209,f26]) ).
fof(f211,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f217,plain,
( has_endowment(sk1)
| ~ organization(sk1)
| ~ spl0_5 ),
inference(resolution,[],[f140,f12]) ).
fof(f218,plain,
( ~ organization(sk1)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f217,f27]) ).
fof(f219,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f218,f26]) ).
fof(f220,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f295,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f145,f31]) ).
fof(f300,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f302,plain,
( has_immunity(sk1,sk2)
| has_immunity(sk1,sk3)
| ~ organization(sk1)
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1 ),
inference(resolution,[],[f91,f13]) ).
fof(f310,plain,
( has_immunity(sk1,sk3)
| ~ organization(sk1)
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f302,f139]) ).
fof(f311,plain,
( ~ organization(sk1)
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1
| spl0_4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f310,f135]) ).
fof(f312,plain,
( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1
| spl0_4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f311,f26]) ).
fof(f313,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1
| spl0_4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f312,f126]) ).
fof(f314,plain,
( $false
| ~ spl0_1
| spl0_4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f313,f29]) ).
fof(f315,plain,
( ~ spl0_1
| spl0_4
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f314]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f96]) ).
cnf(s4,plain,
~ spl0_4,
inference(sat_conversion,[],[f211]) ).
cnf(s5,plain,
~ spl0_5,
inference(sat_conversion,[],[f220]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f300]) ).
cnf(s12,plain,
( ~ spl0_1
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f315]) ).
cnf(s13,plain,
~ spl0_1,
inference(rat,[],[s12,s5,s4]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s10,s13]) ).
fof(f316,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT046-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 17:28:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.65/1.25 % (808717)Input is clausal, will run a generic CNF schedule.
% 2.65/1.25 % (808725)lrs+10_1_sil=8000:sp=occurrence:random_seed=968025070:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.65/1.25 % (808725)First to succeed.
% 2.65/1.25 % (808725)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-808717"
% 2.65/1.25 % (808723)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3892974278:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.65/1.25 % (808722)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=1312898645:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.65/1.25 % (808728)dis-21_1_sil=8000:lcm=predicate:random_seed=1255443218: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)
% 2.65/1.25 % (808726)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3999562281:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.65/1.25 % (808724)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2240897355:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.65/1.25 % (808727)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=573308041:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.65/1.25 % (808727)Also succeeded, but the first one will report.
% 2.65/1.25 % (808728)Instruction limit reached!
% 2.65/1.25 % (808728)------------------------------
% 2.65/1.25 % (808728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.25 % (808728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.25 % (808728)CaDiCaL version: 2.1.3
% 2.65/1.25 % (808728)Termination reason: Instruction limit
% 2.65/1.25 % (808728)Termination phase: Saturation
% 2.65/1.25 % (808728)Time elapsed: 0.044 s
% 2.65/1.25 % (808728)Peak memory usage: 88 MB
% 2.65/1.25 % (808728)Instructions burned: 118 (million)
% 2.65/1.25 % (808726)Instruction limit reached!
% 2.65/1.25 % (808726)------------------------------
% 2.65/1.25 % (808726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.25 % (808726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.25 % (808726)CaDiCaL version: 2.1.3
% 2.65/1.25 % (808726)Termination reason: Instruction limit
% 2.65/1.25 % (808726)Termination phase: Saturation
% 2.65/1.25 % (808726)Time elapsed: 0.069 s
% 2.65/1.25 % (808726)Peak memory usage: 88 MB
% 2.65/1.25 % (808726)Instructions burned: 114 (million)
% 2.65/1.25 % (808725)Refutation found. Thanks to Tanya!
% 2.65/1.25 % SZS status Unsatisfiable for theBenchmark
% 2.65/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.25 % (808725)------------------------------
% 2.65/1.25 % (808725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.25 % (808725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.25 % (808725)CaDiCaL version: 2.1.3
% 2.65/1.25 % (808725)Termination reason: Refutation
% 2.65/1.25 % (808725)Time elapsed: 0.005 s
% 2.65/1.25 % (808725)Peak memory usage: 89 MB
% 2.65/1.25 % (808725)Instructions burned: 12 (million)
% 2.65/1.25 % (808725)------------------------------
% 2.65/1.25 % (808725)------------------------------
% 2.65/1.25 % (808717)Success in time 0.305 s
% 2.65/1.25 % Vampire exiting
%------------------------------------------------------------------------------