%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT031-1 : 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 : n001.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 12:02:06 PM UTC 2026
% Result : Satisfiable 2.63s 1.36s
% Output : Saturation 2.63s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u42,hypothesis,
~ environment(e) ).
cnf(u33,hypothesis,
( greater(appear(efficient_producers,e),appear(an_organisation,X0))
| appear(an_organisation,X0) = appear(first_movers,X0)
| ~ environment(X0) ) ).
cnf(u29,hypothesis,
( ~ subpopulation(sk1(X0,X1),X2,X0)
| ~ environment(X2)
| efficient_producers = sk1(X0,X1)
| first_movers = sk1(X0,X1)
| ~ greater(number_of_organizations(X1,X0),zero)
| ~ environment(X1) ) ).
cnf(mp_no_FM_before_appearance_24,axiom,
( ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ greater(appear(first_movers,X0),X1)
| ~ environment(X0) ) ).
cnf(prove_l13_33,negated_conjecture,
in_environment(sk2,appear(an_organisation,sk2)) ).
cnf(mp_no_EP_before_appearance_23,axiom,
( ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| ~ greater(appear(efficient_producers,X0),X1)
| ~ environment(X0) ) ).
cnf(u17,axiom,
greater_or_equal(X1,X1) ).
cnf(u27,axiom,
( greater_or_equal(cardinality_at_time(sk1(X1,X0),X1),zero)
| ~ environment(X0)
| ~ greater(number_of_organizations(X0,X1),zero) ) ).
cnf(mp_number_mean_non_empty_22,axiom,
( greater(cardinality_at_time(sk1(X1,X0),X1),zero)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ) ).
cnf(prove_l13_32,negated_conjecture,
environment(sk2) ).
cnf(u21,axiom,
( ~ greater(X0,number_of_organizations(e,appear(an_organisation,X1)))
| greater(X0,zero)
| ~ environment(X1) ) ).
cnf(prove_l13_34,negated_conjecture,
appear(an_organisation,sk2) != appear(first_movers,sk2) ).
cnf(mp_greater_transitivity_26,axiom,
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ) ).
cnf(u26,axiom,
( ~ greater(X2,cardinality_at_time(sk1(X1,X0),X1))
| ~ environment(X0)
| ~ greater(number_of_organizations(X0,X1),zero)
| greater(X2,zero) ) ).
cnf(mp_number_mean_non_empty_21,axiom,
( subpopulation(sk1(X1,X0),X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ) ).
cnf(mp_greater_or_equal_28,axiom,
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ) ).
cnf(u20,hypothesis,
( ~ greater(X0,appear(efficient_producers,e))
| greater(X0,appear(first_movers,X1))
| ~ environment(X1) ) ).
cnf(u19,axiom,
( greater_or_equal(number_of_organizations(e,appear(an_organisation,X0)),zero)
| ~ environment(X0) ) ).
cnf(u30,axiom,
( ~ greater(X1,appear(first_movers,X0))
| ~ environment(X0)
| appear(an_organisation,X0) = appear(first_movers,X0)
| greater(X1,appear(an_organisation,X0)) ) ).
cnf(mp_FM_not_precede_first_25,axiom,
( greater_or_equal(appear(first_movers,X0),appear(an_organisation,X0))
| ~ environment(X0) ) ).
cnf(a13_31,hypothesis,
( greater(appear(efficient_producers,e),appear(first_movers,X0))
| ~ environment(X0) ) ).
cnf(u36,hypothesis,
( ~ greater(X1,appear(efficient_producers,e))
| ~ environment(X0)
| appear(an_organisation,X0) = appear(first_movers,X0)
| greater(X1,appear(an_organisation,X0)) ) ).
cnf(u37,hypothesis,
( greater_or_equal(appear(efficient_producers,e),appear(an_organisation,X0))
| ~ environment(X0)
| appear(an_organisation,X0) = appear(first_movers,X0) ) ).
cnf(mp_greater_or_equal_27,axiom,
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ) ).
cnf(u23,axiom,
( greater(appear(first_movers,X0),appear(an_organisation,X0))
| appear(an_organisation,X0) = appear(first_movers,X0)
| ~ environment(X0) ) ).
cnf(u35,hypothesis,
( ~ greater(number_of_organizations(X0,X1),zero)
| sk1(X1,X0) = efficient_producers
| sk1(X1,X0) = first_movers
| ~ environment(X0) ) ).
cnf(u18,hypothesis,
( greater_or_equal(appear(efficient_producers,e),appear(first_movers,X0))
| ~ environment(X0) ) ).
cnf(mp_positive_number_when_appear_20,axiom,
( greater(number_of_organizations(e,appear(an_organisation,X0)),zero)
| ~ environment(X0) ) ).
cnf(u12,hypothesis,
( ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0)
| efficient_producers = X1
| first_movers = X1 ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT031-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 17:27:01 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 2.63/1.36 % (3823389)Input is clausal, will run a generic CNF schedule.
% 2.63/1.36 % (3823397)lrs+10_1_sil=8000:sp=occurrence:random_seed=1167786904:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.63/1.36 % (3823397)First to succeed.
% 2.63/1.36 % (3823397)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3823389"
% 2.63/1.36 % (3823395)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1046008397:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.63/1.36 % (3823396)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2284289954:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.63/1.36 % (3823394)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=3493435932:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.63/1.36 % (3823398)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1033413632:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.63/1.36 % (3823400)dis-21_1_sil=8000:lcm=predicate:random_seed=3943981117: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)
% 2.63/1.36 % (3823399)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4056025015:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.63/1.36 % (3823398)Instruction limit reached!
% 2.63/1.36 % (3823398)------------------------------
% 2.63/1.36 % (3823398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.36 % (3823398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.36 % (3823398)CaDiCaL version: 2.1.3
% 2.63/1.36 % (3823398)Termination reason: Instruction limit
% 2.63/1.36 % (3823398)Termination phase: Saturation
% 2.63/1.36 % (3823398)Time elapsed: 0.053 s
% 2.63/1.36 % (3823398)Peak memory usage: 88 MB
% 2.63/1.36 % (3823398)Instructions burned: 116 (million)
% 2.63/1.36 % (3823400)Instruction limit reached!
% 2.63/1.36 % (3823400)------------------------------
% 2.63/1.36 % (3823400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.36 % (3823400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.36 % (3823400)CaDiCaL version: 2.1.3
% 2.63/1.36 % (3823400)Termination reason: Instruction limit
% 2.63/1.36 % (3823400)Termination phase: Saturation
% 2.63/1.36 % (3823400)Time elapsed: 0.059 s
% 2.63/1.36 % (3823400)Peak memory usage: 88 MB
% 2.63/1.36 % (3823400)Instructions burned: 120 (million)
% 2.63/1.36 % (3823399)Instruction limit reached!
% 2.63/1.36 % (3823399)------------------------------
% 2.63/1.36 % (3823399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.36 % (3823399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.36 % (3823399)CaDiCaL version: 2.1.3
% 2.63/1.36 % (3823399)Termination reason: Instruction limit
% 2.63/1.36 % (3823399)Termination phase: Saturation
% 2.63/1.36 % (3823399)Time elapsed: 0.078 s
% 2.63/1.36 % (3823399)Peak memory usage: 88 MB
% 2.63/1.36 % (3823399)Instructions burned: 183 (million)
% 2.63/1.36 % SZS status Satisfiable for theBenchmark
% 2.63/1.36 % SZS output start Saturation.
% See solution above
% 2.63/1.37 % SZS output start Definitions and Model Updates.
% 2.63/1.37 % SZS output end Definitions and Model Updates.
% 2.63/1.37 % (3823397)------------------------------
% 2.63/1.37 % (3823397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.37 % (3823397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.37 % (3823397)CaDiCaL version: 2.1.3
% 2.63/1.37 % (3823397)Termination reason: Satisfiable
% 2.63/1.37 % (3823397)Time elapsed: 0.002 s
% 2.63/1.37 % (3823397)Peak memory usage: 88 MB
% 2.63/1.37 % (3823397)Instructions burned: 2 (million)
% 2.63/1.37 % (3823397)------------------------------
% 2.63/1.37 % (3823397)------------------------------
% 2.63/1.37 % (3823389)Success in time 0.283 s
% 2.63/1.37 % Vampire exiting
%------------------------------------------------------------------------------