%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT057-1 : 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 : Unsatisfiable 2.51s 1.32s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 21 unt; 4 def)
% Number of atoms : 101 ( 9 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 98 ( 49 ~; 45 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_8) ).
fof(f13,axiom,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0)
| has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_32) ).
fof(f14,axiom,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0)
| ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_33) ).
fof(f19,axiom,
! [X2,X0,X1] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_38) ).
fof(f20,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(f21,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_40) ).
fof(f22,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_41) ).
fof(f23,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_42) ).
fof(f24,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_43) ).
fof(f25,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_44) ).
fof(f26,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_45) ).
fof(f27,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_46) ).
fof(f30,definition,
( spl0_1
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f31,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,definition,
( spl0_2
<=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f34,plain,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f35,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f27,f33,f30]) ).
fof(f37,plain,
smaller(zero,eta),
inference(resolution,[],[f8,f26]) ).
fof(f46,plain,
smaller_or_equal(zero,eta),
inference(resolution,[],[f37,f2]) ).
fof(f54,plain,
smaller_or_equal(age(sk2,sk3),eta),
inference(superposition,[],[f46,f23]) ).
fof(f67,plain,
( ~ has_endowment(sk2)
| has_immunity(sk2,sk4) ),
inference(resolution,[],[f13,f24]) ).
fof(f68,plain,
has_immunity(sk2,sk4),
inference(forward_subsumption_resolution,[],[f67,f22]) ).
fof(f69,plain,
( ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk5) ),
inference(resolution,[],[f14,f25]) ).
fof(f73,plain,
~ has_immunity(sk2,sk5),
inference(forward_subsumption_resolution,[],[f69,f22]) ).
fof(f78,plain,
( ! [X0] :
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,X0)
| ~ has_immunity(sk2,sk3)
| ~ has_immunity(sk2,X0)
| ~ organization(sk2) )
| spl0_1 ),
inference(superposition,[],[f31,f19]) ).
fof(f85,plain,
( ! [X0] :
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,X0)
| ~ has_immunity(sk2,sk3)
| ~ has_immunity(sk2,X0) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f78,f21]) ).
fof(f87,definition,
( spl0_5
<=> has_immunity(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f88,plain,
( ~ has_immunity(sk2,sk3)
| spl0_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,definition,
( spl0_6
<=> ! [X0] :
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,X0)
| ~ has_immunity(sk2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f91,plain,
( ! [X0] :
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,X0)
| ~ has_immunity(sk2,X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( ~ spl0_5
| spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f85,f30,f90,f87]) ).
fof(f186,plain,
( ~ has_endowment(sk2)
| has_immunity(sk2,sk3) ),
inference(resolution,[],[f54,f13]) ).
fof(f187,plain,
has_immunity(sk2,sk3),
inference(forward_subsumption_resolution,[],[f186,f22]) ).
fof(f188,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f187,f88]) ).
fof(f189,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f194,plain,
( ~ has_immunity(sk2,sk4)
| ~ spl0_6 ),
inference(equality_resolution,[],[f91]) ).
fof(f197,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f194,f68]) ).
fof(f198,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f197]) ).
fof(f203,plain,
( ~ has_immunity(sk2,sk4)
| has_immunity(sk2,sk5)
| ~ organization(sk2)
| spl0_2 ),
inference(resolution,[],[f34,f20]) ).
fof(f220,plain,
( has_immunity(sk2,sk5)
| ~ organization(sk2)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f203,f68]) ).
fof(f223,plain,
( ~ organization(sk2)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f220,f73]) ).
fof(f224,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f223,f21]) ).
fof(f225,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f224]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f35]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f93]) ).
cnf(s7,plain,
spl0_5,
inference(sat_conversion,[],[f189]) ).
cnf(s8,plain,
~ spl0_6,
inference(sat_conversion,[],[f198]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f225]) ).
cnf(s11,plain,
spl0_1,
inference(rat,[],[s4,s8,s7]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s10,s11]) ).
fof(f226,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT057-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.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 17:32:24 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.51/1.32 % (2619903)Input is clausal, will run a generic CNF schedule.
% 2.51/1.32 % (2619912)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=5342655:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.51/1.32 % (2619912)First to succeed.
% 2.51/1.32 % (2619912)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2619903"
% 2.51/1.32 % (2619909)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2842656228:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.51/1.32 % (2619911)lrs+10_1_sil=8000:sp=occurrence:random_seed=2035615139:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.51/1.32 % (2619910)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=783471795:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.51/1.32 % (2619908)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=1323367378:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.51/1.32 % (2619914)dis-21_1_sil=8000:lcm=predicate:random_seed=1907686968: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)
% 2.51/1.32 % (2619911)Also succeeded, but the first one will report.
% 2.51/1.32 % (2619913)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4204242674:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.51/1.32 % (2619913)Also succeeded, but the first one will report.
% 2.51/1.32 % (2619914)Instruction limit reached!
% 2.51/1.32 % (2619914)------------------------------
% 2.51/1.32 % (2619914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.32 % (2619914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.32 % (2619914)CaDiCaL version: 2.1.3
% 2.51/1.32 % (2619914)Termination reason: Instruction limit
% 2.51/1.32 % (2619914)Termination phase: Saturation
% 2.51/1.32 % (2619914)Time elapsed: 0.060 s
% 2.51/1.32 % (2619914)Peak memory usage: 88 MB
% 2.51/1.32 % (2619914)Instructions burned: 117 (million)
% 2.51/1.32 % (2619912)Refutation found. Thanks to Tanya!
% 2.51/1.32 % SZS status Unsatisfiable for theBenchmark
% 2.51/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.51/1.32 % (2619912)------------------------------
% 2.51/1.32 % (2619912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.32 % (2619912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.32 % (2619912)CaDiCaL version: 2.1.3
% 2.51/1.32 % (2619912)Termination reason: Refutation
% 2.51/1.32 % (2619912)Time elapsed: 0.004 s
% 2.51/1.32 % (2619912)Peak memory usage: 89 MB
% 2.51/1.32 % (2619912)Instructions burned: 6 (million)
% 2.51/1.32 % (2619912)------------------------------
% 2.51/1.32 % (2619912)------------------------------
% 2.51/1.32 % (2619903)Success in time 0.267 s
% 2.51/1.32 % Vampire exiting
%------------------------------------------------------------------------------