%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT037-2 : 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 : 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 12:02:09 PM UTC 2026
% Result : Satisfiable 3.37s 1.36s
% Output : Saturation 3.37s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u50,negated_conjecture,
greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero) ).
cnf(u53,negated_conjecture,
zero != cardinality_at_time(efficient_producers,sk1(sk4,sk3)) ).
cnf(mp_previous_negative_growth_30,axiom,
( cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0)
| greater(X1,sk1(X1,X0)) ) ).
cnf(u40,negated_conjecture,
( ~ greater_or_equal(sk4,appear(efficient_producers,X0))
| ~ environment(X0)
| in_environment(X0,sk1(sk4,X0)) ) ).
cnf(mp_subpopulations_38,axiom,
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ) ).
cnf(u42,negated_conjecture,
( ~ greater_or_equal(sk4,appear(efficient_producers,X0))
| ~ environment(X0)
| greater(sk4,sk1(sk4,X0)) ) ).
cnf(u79,hypothesis,
( decreases(number_of_organizations(X0,X1))
| efficient_producers = sk2(X1,X0)
| sk2(X1,X0) = first_movers
| ~ in_environment(X0,X1)
| ~ environment(X0) ) ).
cnf(u34,negated_conjecture,
zero = cardinality_at_time(efficient_producers,sk4) ).
cnf(mp_non_decreasing_33,axiom,
( subpopulation(sk2(X1,X0),X0,X1)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1))
| ~ environment(X0) ) ).
cnf(u44,negated_conjecture,
in_environment(sk3,sk1(sk4,sk3)) ).
cnf(u38,hypothesis,
( ~ subpopulation(sk2(X0,X1),X2,X0)
| ~ environment(X2)
| efficient_producers = sk2(X0,X1)
| first_movers = sk2(X0,X1)
| ~ in_environment(X1,X0)
| decreases(number_of_organizations(X1,X0))
| ~ environment(X1) ) ).
cnf(u74,negated_conjecture,
( ~ in_environment(X1,sk1(sk4,X0))
| ~ greater_or_equal(sk4,appear(efficient_producers,X0))
| greater(zero,growth_rate(first_movers,sk1(sk4,X0)))
| ~ environment(X1)
| ~ environment(X0) ) ).
cnf(u84,negated_conjecture,
greater(zero,growth_rate(first_movers,sk1(sk4,sk3))) ).
cnf(a7_48,hypothesis,
( ~ constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| constant(number_of_organizations(X0,X1)) ) ).
cnf(u65,negated_conjecture,
( greater(sk1(sk4,X0),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ greater_or_equal(sk4,appear(efficient_producers,X0)) ) ).
cnf(u26,hypothesis,
( ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0)
| efficient_producers = X1
| first_movers = X1 ) ).
cnf(mp_environment_inequality_42,axiom,
( ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(appear(an_organisation,X0),X1) ) ).
cnf(prove_t6_51,negated_conjecture,
environment(sk3) ).
cnf(prove_t6_53,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)) ).
cnf(a4_46,hypothesis,
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1)) ) ).
cnf(mp_efficient_producers_exist_40,axiom,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| cardinality_at_time(efficient_producers,X1) = zero
| greater(cardinality_at_time(efficient_producers,X1),zero) ) ).
cnf(mp_non_decreasing_34,axiom,
( greater(cardinality_at_time(sk2(X1,X0),X1),zero)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1))
| ~ environment(X0) ) ).
cnf(a2_44,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)) ).
cnf(mp_previous_negative_growth_29,axiom,
( cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0)
| in_environment(X0,sk1(X1,X0)) ) ).
cnf(mp_subpopulations_37,axiom,
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ) ).
cnf(u6,axiom,
( ~ greater(appear(an_organisation,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| zero = number_of_organizations(X0,X1) ) ).
cnf(u72,hypothesis,
( ~ greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1) ) ).
cnf(prove_t6_52,negated_conjecture,
in_environment(sk3,sk4) ).
cnf(u35,negated_conjecture,
~ greater(zero,zero) ).
cnf(mp_previous_negative_growth_31,axiom,
( cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0)
| greater(zero,growth_rate(efficient_producers,sk1(X1,X0))) ) ).
cnf(a1_43,hypothesis,
( ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(number_of_organizations(X0,X1),zero) ) ).
cnf(u37,negated_conjecture,
~ greater(zero,growth_rate(efficient_producers,sk4)) ).
cnf(prove_t6_54,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero) ).
cnf(a13_50,hypothesis,
( ~ greater(resilience(X3),resilience(X2))
| ~ in_environment(X0,X1)
| greater(zero,growth_rate(X2,X1))
| ~ environment(X0)
| ~ greater(zero,growth_rate(X3,X1)) ) ).
cnf(mp_constant_not_decrease_41,axiom,
( ~ constant(X0)
| ~ decreases(X0) ) ).
cnf(u69,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,sk1(sk4,X0)))
| ~ environment(X0)
| ~ greater_or_equal(sk4,appear(efficient_producers,X0)) ) ).
cnf(u71,negated_conjecture,
greater(sk4,sk1(sk4,sk3)) ).
cnf(a4_45,hypothesis,
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1)) ) ).
cnf(a7_47,hypothesis,
( ~ decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ decreases(number_of_organizations(X0,X1)) ) ).
cnf(u15,axiom,
( zero != cardinality_at_time(X0,X1)
| ~ greater(zero,growth_rate(X0,X1)) ) ).
cnf(mp_non_decreasing_35,axiom,
( ~ greater(zero,growth_rate(sk2(X1,X0),X1))
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1))
| ~ environment(X0) ) ).
cnf(u11,axiom,
( zero != number_of_organizations(X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulation(X2,X0,X1)
| zero = cardinality_at_time(X2,X1) ) ).
cnf(mp_previous_negative_growth_28,axiom,
( cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0)
| greater(sk1(X1,X0),appear(efficient_producers,X0)) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT037-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % 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 17:25:39 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 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
% 3.37/1.36 % (2616994)Input is clausal, will run a generic CNF schedule.
% 3.37/1.36 % (2617001)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1126744133:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.37/1.36 % (2616999)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=1617846179:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.37/1.36 % (2617002)lrs+10_1_sil=8000:sp=occurrence:random_seed=3315490279:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.37/1.36 % (2617003)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1738261086:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.37/1.36 % (2617000)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1758120000:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.37/1.36 % (2617005)dis-21_1_sil=8000:lcm=predicate:random_seed=779598522: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)
% 3.37/1.36 % (2617004)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2333014092:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.37/1.36 % (2617002)First to succeed.
% 3.37/1.36 % (2617002)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2616994"
% 3.37/1.36 % (2617004)Refutation not found, incomplete strategy
% 3.37/1.36 % (2617004)------------------------------
% 3.37/1.36 % (2617004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.36 % (2617004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.36 % (2617004)CaDiCaL version: 2.1.3
% 3.37/1.36 % (2617004)Termination reason: Refutation not found, incomplete strategy
% 3.37/1.36 % (2617004)Time elapsed: 0.004 s
% 3.37/1.36 % (2617004)Peak memory usage: 88 MB
% 3.37/1.36 % (2617004)Instructions burned: 4 (million)
% 3.37/1.36 % (2617003)Refutation not found, incomplete strategy
% 3.37/1.36 % (2617003)------------------------------
% 3.37/1.36 % (2617003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.36 % (2617003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.36 % (2617003)CaDiCaL version: 2.1.3
% 3.37/1.36 % (2617003)Termination reason: Refutation not found, incomplete strategy
% 3.37/1.36 % (2617003)Time elapsed: 0.013 s
% 3.37/1.36 % (2617003)Peak memory usage: 88 MB
% 3.37/1.36 % (2617003)Instructions burned: 16 (million)
% 3.37/1.36 % (2617005)Instruction limit reached!
% 3.37/1.36 % (2617005)------------------------------
% 3.37/1.36 % (2617005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.36 % (2617005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.36 % (2617005)CaDiCaL version: 2.1.3
% 3.37/1.36 % (2617005)Termination reason: Instruction limit
% 3.37/1.36 % (2617005)Termination phase: Saturation
% 3.37/1.36 % (2617005)Time elapsed: 0.043 s
% 3.37/1.36 % (2617005)Peak memory usage: 87 MB
% 3.37/1.36 % (2617005)Instructions burned: 118 (million)
% 3.37/1.36 % (2617013)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4121001964:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.37/1.36 % (2617013)Refutation not found, incomplete strategy
% 3.37/1.36 % (2617013)------------------------------
% 3.37/1.36 % (2617013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.36 % (2617013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.36 % (2617013)CaDiCaL version: 2.1.3
% 3.37/1.36 % (2617013)Termination reason: Refutation not found, incomplete strategy
% 3.37/1.36 % (2617013)Time elapsed: 0.004 s
% 3.37/1.36 % (2617013)Peak memory usage: 88 MB
% 3.37/1.36 % (2617013)Instructions burned: 4 (million)
% 3.37/1.36 % (2617004)------------------------------
% 3.37/1.36 % (2617004)------------------------------
% 3.37/1.36 % (2617003)------------------------------
% 3.37/1.36 % (2617003)------------------------------
% 3.37/1.36 % SZS status Satisfiable for theBenchmark
% 3.37/1.36 % SZS output start Saturation.
% See solution above
% 3.37/1.36 % SZS output start Definitions and Model Updates.
% 3.37/1.36 % SZS output end Definitions and Model Updates.
% 3.37/1.36 % (2617002)------------------------------
% 3.37/1.36 % (2617002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.36 % (2617002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.36 % (2617002)CaDiCaL version: 2.1.3
% 3.37/1.36 % (2617002)Termination reason: Satisfiable
% 3.37/1.36 % (2617002)Time elapsed: 0.004 s
% 3.37/1.36 % (2617002)Peak memory usage: 88 MB
% 3.37/1.36 % (2617002)Instructions burned: 4 (million)
% 3.37/1.36 % (2617002)------------------------------
% 3.37/1.36 % (2617002)------------------------------
% 3.37/1.36 % (2616994)Success in time 0.409 s
% 3.37/1.36 % Vampire exiting
%------------------------------------------------------------------------------