%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT019-2 : 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 : n019.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 12:02:02 PM UTC 2026
% Result : Satisfiable 2.98s 1.08s
% Output : Saturation 2.98s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u25,hypothesis,
~ greater_or_equal(sk2,sk3(sk1)) ).
cnf(u13,negated_conjecture,
( greater(sk5(X0),X0)
| sk5(X0) = X0
| ~ in_environment(sk4,X0) ) ).
cnf(u32,negated_conjecture,
( greater(founding_rate(efficient_producers,sk5(X0)),founding_rate(first_movers,sk5(X0)))
| ~ in_environment(sk4,X0)
| ~ greater_or_equal(sk5(X0),sk3(sk4))
| founding_rate(efficient_producers,sk5(X0)) = founding_rate(first_movers,sk5(X0)) ) ).
cnf(prove_l1_33,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk5(X0)),growth_rate(first_movers,sk5(X0)))
| ~ in_environment(sk4,X0) ) ).
cnf(mp_greater_or_equal_26,axiom,
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ) ).
cnf(u34,negated_conjecture,
( ~ greater(disbanding_rate(first_movers,sk5(X0)),disbanding_rate(efficient_producers,sk5(X0)))
| ~ greater_or_equal(sk5(X0),sk3(sk4))
| ~ in_environment(sk4,X0) ) ).
cnf(mp_EP_lower_disbanding_rate_25,axiom,
( ~ greater_or_equal(founding_rate(efficient_producers,X0),founding_rate(first_movers,X0))
| ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ) ).
cnf(a8_28,hypothesis,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| ~ environment(X0)
| ~ greater_or_equal(X1,sk3(X0))
| greater_or_equal(founding_rate(efficient_producers,X1),founding_rate(first_movers,X1)) ) ).
cnf(prove_l1_30,negated_conjecture,
stable(sk4) ).
cnf(a8_27,hypothesis,
( in_environment(X0,sk3(X0))
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(prove_l1_29,negated_conjecture,
environment(sk4) ).
cnf(l2_22,axiom,
environment(sk1) ).
cnf(prove_l1_32,negated_conjecture,
( greater_or_equal(sk5(X0),X0)
| ~ in_environment(sk4,X0) ) ).
cnf(prove_l1_31,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk4,sk5(X0))
| ~ in_environment(sk4,X0) ) ).
cnf(l2_24,axiom,
~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) ).
cnf(u31,negated_conjecture,
( greater_or_equal(founding_rate(efficient_producers,sk5(X0)),founding_rate(first_movers,sk5(X0)))
| ~ greater_or_equal(sk5(X0),sk3(sk4))
| ~ in_environment(sk4,X0) ) ).
cnf(l2_23,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT019-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:16:49 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.98/1.08 % (3284464)Input is clausal, will run a generic CNF schedule.
% 2.98/1.08 % (3284522)dis-21_1_sil=8000:lcm=predicate:random_seed=3064687410:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 2.98/1.08 % (3284515)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2752040820:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 2.98/1.08 % (3284513)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=306782200:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 2.98/1.08 % (3284518)lrs+10_1_sil=8000:sp=occurrence:random_seed=3659071798:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 2.98/1.08 % (3284516)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=908870354:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 2.98/1.08 % (3284520)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1741082618:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 2.98/1.08 % (3284519)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2711222906:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 2.98/1.08 % (3284519)Refutation not found, incomplete strategy
% 2.98/1.08 % (3284519)------------------------------
% 2.98/1.08 % (3284519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.08 % (3284519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.08 % (3284519)CaDiCaL version: 2.1.3
% 2.98/1.08 % (3284519)Termination reason: Refutation not found, incomplete strategy
% 2.98/1.08 % (3284519)Time elapsed: 0.001 s
% 2.98/1.08 % (3284519)Peak memory usage: 87 MB
% 2.98/1.08 % (3284522)Refutation not found, incomplete strategy
% 2.98/1.08 % (3284522)------------------------------
% 2.98/1.08 % (3284522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.08 % (3284522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.08 % (3284522)CaDiCaL version: 2.1.3
% 2.98/1.08 % (3284522)Termination reason: Refutation not found, incomplete strategy
% 2.98/1.08 % (3284522)Time elapsed: 0.002 s
% 2.98/1.08 % (3284522)Peak memory usage: 88 MB
% 2.98/1.08 % (3284522)Instructions burned: 1 (million)
% 2.98/1.08 % (3284518)First to succeed.
% 2.98/1.08 % (3284520)Refutation not found, incomplete strategy
% 2.98/1.08 % (3284520)------------------------------
% 2.98/1.08 % (3284520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.08 % (3284520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.08 % (3284520)CaDiCaL version: 2.1.3
% 2.98/1.08 % (3284520)Termination reason: Refutation not found, incomplete strategy
% 2.98/1.08 % (3284520)Time elapsed: 0.002 s
% 2.98/1.08 % (3284520)Peak memory usage: 88 MB
% 2.98/1.08 % (3284520)Instructions burned: 1 (million)
% 2.98/1.08 % (3284518)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3284464"
% 2.98/1.08 % (3284522)------------------------------
% 2.98/1.08 % (3284522)------------------------------
% 2.98/1.08 % (3284519)------------------------------
% 2.98/1.08 % (3284519)------------------------------
% 2.98/1.08 % (3284520)------------------------------
% 2.98/1.08 % (3284520)------------------------------
% 2.98/1.08 % SZS status Satisfiable for theBenchmark
% 2.98/1.08 % SZS output start Saturation.
% See solution above
% 2.98/1.08 % SZS output start Definitions and Model Updates.
% 2.98/1.08 % SZS output end Definitions and Model Updates.
% 2.98/1.08 % (3284518)------------------------------
% 2.98/1.08 % (3284518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.08 % (3284518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.08 % (3284518)CaDiCaL version: 2.1.3
% 2.98/1.08 % (3284518)Termination reason: Satisfiable
% 2.98/1.08 % (3284518)Time elapsed: 0.002 s
% 2.98/1.08 % (3284518)Peak memory usage: 88 MB
% 2.98/1.08 % (3284518)Instructions burned: 1 (million)
% 2.98/1.08 % (3284518)------------------------------
% 2.98/1.08 % (3284518)------------------------------
% 2.98/1.08 % (3284464)Success in time 0.372 s
% 2.98/1.08 % Vampire exiting
%------------------------------------------------------------------------------