%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT037+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 : CounterSatisfiable 4.70s 1.55s
% Output : Saturation 4.70s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u102,negated_conjecture,
greater(cardinality_at_time(efficient_producers,sK2(sK0,sK1)),zero) ).
cnf(u60,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sK1),zero) ).
cnf(u59,negated_conjecture,
environment(sK0) ).
cnf(u66,axiom,
( cardinality_at_time(efficient_producers,X1) != zero
| ~ environment(X0)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| greater(sK2(X0,X1),appear(efficient_producers,X0)) ) ).
cnf(u112,negated_conjecture,
greater(zero,growth_rate(first_movers,sK2(sK0,sK1))) ).
cnf(u71,axiom,
( ~ in_environment(X0,X1)
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X0)
| cardinality_at_time(efficient_producers,X1) = zero ) ).
cnf(u53,hypothesis,
( ~ constant(resources(X0,X1))
| constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1) ) ).
cnf(u82,hypothesis,
( ~ subpopulation(sK3(X0,X1),X2,X1)
| ~ environment(X2)
| first_movers = sK3(X0,X1)
| efficient_producers = sK3(X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ) ).
cnf(u90,negated_conjecture,
in_environment(sK0,sK2(sK0,sK1)) ).
cnf(u63,axiom,
( cardinality_at_time(efficient_producers,X1) != zero
| ~ environment(X0)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| greater(zero,growth_rate(efficient_producers,sK2(X0,X1))) ) ).
cnf(u73,axiom,
( subpopulation(first_movers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ) ).
cnf(u84,negated_conjecture,
( ~ greater_or_equal(sK1,appear(efficient_producers,X0))
| ~ environment(X0)
| greater(sK1,sK2(X0,sK1)) ) ).
cnf(u58,negated_conjecture,
in_environment(sK0,sK1) ).
cnf(u107,hypothesis,
( ~ greater(zero,growth_rate(efficient_producers,X1))
| ~ in_environment(X0,X1)
| greater(zero,growth_rate(first_movers,X1))
| ~ environment(X0) ) ).
cnf(u52,hypothesis,
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ greater(equilibrium(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| decreases(resources(X0,X1)) ) ).
cnf(u70,axiom,
( subpopulation(sK3(X0,X1),X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ) ).
cnf(u75,axiom,
( zero != cardinality_at_time(X0,X1)
| ~ greater(zero,growth_rate(X0,X1)) ) ).
cnf(u62,axiom,
( ~ greater(appear(an_organisation,X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| zero = number_of_organizations(X0,X1) ) ).
cnf(u72,axiom,
( subpopulation(efficient_producers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ) ).
cnf(u114,hypothesis,
( decreases(number_of_organizations(X0,X1))
| first_movers = sK3(X0,X1)
| efficient_producers = sK3(X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ) ).
cnf(u108,negated_conjecture,
( ~ in_environment(X0,sK2(X1,sK1))
| greater(zero,growth_rate(first_movers,sK2(X1,sK1)))
| ~ environment(X0)
| ~ greater_or_equal(sK1,appear(efficient_producers,X1))
| ~ environment(X1) ) ).
cnf(u55,hypothesis,
( ~ greater(cardinality_at_time(X1,X2),zero)
| first_movers = X1
| ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| efficient_producers = X1 ) ).
cnf(u51,hypothesis,
( ~ greater(number_of_organizations(X0,X1),zero)
| greater(equilibrium(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| constant(resources(X0,X1)) ) ).
cnf(u65,axiom,
( cardinality_at_time(efficient_producers,X1) != zero
| ~ environment(X0)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| in_environment(X0,sK2(X0,X1)) ) ).
cnf(u81,negated_conjecture,
~ greater(zero,growth_rate(efficient_producers,sK1)) ).
cnf(u50,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)) ).
cnf(u57,negated_conjecture,
greater_or_equal(sK1,appear(efficient_producers,sK0)) ).
cnf(u86,negated_conjecture,
( ~ greater_or_equal(sK1,appear(efficient_producers,X0))
| ~ environment(X0)
| in_environment(X0,sK2(X0,sK1)) ) ).
cnf(u69,axiom,
( greater(cardinality_at_time(sK3(X0,X1),X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ) ).
cnf(u64,axiom,
( cardinality_at_time(efficient_producers,X1) != zero
| ~ environment(X0)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| greater(X1,sK2(X0,X1)) ) ).
cnf(u54,hypothesis,
( ~ decreases(resources(X0,X1))
| ~ decreases(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1) ) ).
cnf(u61,axiom,
( ~ greater_or_equal(X1,appear(an_organisation,X0))
| greater(appear(an_organisation,X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ) ).
cnf(u88,negated_conjecture,
greater(sK1,sK2(sK0,sK1)) ).
cnf(u79,negated_conjecture,
~ greater(zero,zero) ).
cnf(u74,axiom,
( ~ constant(X0)
| ~ decreases(X0) ) ).
cnf(u56,hypothesis,
( ~ greater(resilience(X2),resilience(X1))
| ~ environment(X0)
| ~ in_environment(X0,X3)
| greater(zero,growth_rate(X1,X3))
| ~ greater(zero,growth_rate(X2,X3)) ) ).
cnf(u105,negated_conjecture,
( greater(sK2(X0,sK1),appear(efficient_producers,X0))
| ~ greater_or_equal(sK1,appear(efficient_producers,X0))
| ~ environment(X0) ) ).
cnf(u49,hypothesis,
( ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| greater(number_of_organizations(X0,X1),zero) ) ).
cnf(u92,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,sK2(X0,sK1)))
| ~ greater_or_equal(sK1,appear(efficient_producers,X0))
| ~ environment(X0) ) ).
cnf(u68,axiom,
( ~ greater(zero,growth_rate(sK3(X0,X1),X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ) ).
cnf(u67,axiom,
( zero != number_of_organizations(X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| zero = cardinality_at_time(X2,X1)
| ~ subpopulation(X2,X0,X1) ) ).
cnf(u78,negated_conjecture,
zero = cardinality_at_time(efficient_producers,sK1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT037+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n010.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 17:24:02 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.39/1.45 % (1186991)Detected formulas, will run a generic FOF schedule.
% 3.39/1.45 % (1186999)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=993222897:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.39/1.45 % (1187000)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2675012949:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.39/1.45 % (1186999)Refutation not found, incomplete strategy
% 3.39/1.45 % (1186999)------------------------------
% 3.39/1.45 % (1186999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.45 % (1186999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.45 % (1186999)CaDiCaL version: 2.1.3
% 3.39/1.45 % (1186999)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.45 % (1186999)Time elapsed: 0.031 s
% 3.39/1.45 % (1186999)Peak memory usage: 89 MB
% 3.39/1.45 % (1186999)Instructions burned: 106 (million)
% 3.39/1.45 % (1187000)Refutation not found, incomplete strategy
% 3.39/1.45 % (1187000)------------------------------
% 3.39/1.45 % (1187000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.45 % (1186996)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=3297942901:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.39/1.45 % (1186998)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2374170422:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.39/1.45 % (1186997)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=277596409:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.39/1.45 % (1187000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.45 % (1187000)CaDiCaL version: 2.1.3
% 3.39/1.45 % (1187000)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.45 % (1187000)Time elapsed: 0.004 s
% 3.39/1.45 % (1187000)Peak memory usage: 88 MB
% 3.39/1.45 % (1187000)Instructions burned: 5 (million)
% 3.39/1.45 % (1187001)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3720632385:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.39/1.45 % (1187001)Refutation not found, incomplete strategy
% 3.39/1.45 % (1187001)------------------------------
% 3.39/1.45 % (1187001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.45 % (1187001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.45 % (1187001)CaDiCaL version: 2.1.3
% 3.39/1.45 % (1187001)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.45 % (1187001)Time elapsed: 0.004 s
% 3.39/1.45 % (1187001)Peak memory usage: 88 MB
% 3.39/1.45 % (1187001)Instructions burned: 4 (million)
% 3.39/1.45 % (1187002)dis-21_1_sil=8000:lcm=predicate:random_seed=2968852448:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.39/1.45 % (1187002)Instruction limit reached!
% 3.39/1.45 % (1187002)------------------------------
% 3.39/1.45 % (1187002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.45 % (1187002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.45 % (1187002)CaDiCaL version: 2.1.3
% 3.39/1.45 % (1187002)Termination reason: Instruction limit
% 3.39/1.45 % (1187002)Termination phase: Saturation
% 3.39/1.45 % (1187002)Time elapsed: 0.049 s
% 3.39/1.45 % (1187002)Peak memory usage: 88 MB
% 3.39/1.45 % (1187002)Instructions burned: 129 (million)
% 3.39/1.45 % (1186999)------------------------------
% 3.39/1.45 % (1186999)------------------------------
% 3.39/1.45 % (1187010)lrs+10_1_sil=8000:sp=occurrence:random_seed=397229370:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.39/1.45 % (1187010)First to succeed.
% 3.39/1.45 % (1187010)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1186991"
% 3.39/1.45 % (1187000)------------------------------
% 3.39/1.45 % (1187000)------------------------------
% 3.39/1.45 % (1187011)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2333149510:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.39/1.45 % (1187001)------------------------------
% 3.39/1.45 % (1187001)------------------------------
% 3.39/1.45 % (1187011)Refutation not found, incomplete strategy
% 4.70/1.55 % (1187011)------------------------------
% 4.70/1.55 % (1187011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.55 % (1187011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.55 % (1187011)CaDiCaL version: 2.1.3
% 4.70/1.55 % (1187011)Termination reason: Refutation not found, incomplete strategy
% 4.70/1.55 % (1187011)Time elapsed: 0.002 s
% 4.70/1.55 % (1187011)Peak memory usage: 88 MB
% 4.70/1.55 % (1187011)Instructions burned: 3 (million)
% 4.70/1.55 % (1187014)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4088373064:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 4.70/1.55 % (1187015)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1637332699:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.70/1.55 % (1187014)Refutation not found, incomplete strategy
% 4.70/1.55 % (1187014)------------------------------
% 4.70/1.55 % (1187014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.55 % (1187014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.55 % (1187014)CaDiCaL version: 2.1.3
% 4.70/1.55 % (1187014)Termination reason: Refutation not found, incomplete strategy
% 4.70/1.55 % (1187014)Time elapsed: 0.004 s
% 4.70/1.55 % (1187014)Peak memory usage: 88 MB
% 4.70/1.55 % (1187014)Instructions burned: 4 (million)
% 4.70/1.55 % (1187015)Refutation not found, incomplete strategy
% 4.70/1.55 % (1187015)------------------------------
% 4.70/1.55 % (1187015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.55 % (1187015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.55 % (1187015)CaDiCaL version: 2.1.3
% 4.70/1.55 % (1187015)Termination reason: Refutation not found, incomplete strategy
% 4.70/1.55 % (1187015)Time elapsed: 0.004 s
% 4.70/1.55 % (1187015)Peak memory usage: 88 MB
% 4.70/1.55 % (1187015)Instructions burned: 4 (million)
% 4.70/1.55 % (1187011)------------------------------
% 4.70/1.55 % (1187011)------------------------------
% 4.70/1.55 % SZS status CounterSatisfiable for theBenchmark
% 4.70/1.55 % SZS output start Saturation.
% See solution above
% 4.70/1.55 % SZS output start Definitions and Model Updates.
% 4.70/1.55 % SZS output end Definitions and Model Updates.
% 4.70/1.55 % (1187010)------------------------------
% 4.70/1.55 % (1187010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.55 % (1187010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.55 % (1187010)CaDiCaL version: 2.1.3
% 4.70/1.55 % (1187010)Termination reason: Satisfiable
% 4.70/1.55 % (1187010)Time elapsed: 0.004 s
% 4.70/1.55 % (1187010)Peak memory usage: 89 MB
% 4.70/1.55 % (1187010)Instructions burned: 4 (million)
% 4.70/1.55 % (1187010)------------------------------
% 4.70/1.55 % (1187010)------------------------------
% 4.70/1.55 % (1186991)Success in time 0.594 s
% 4.70/1.55 % Vampire exiting
%------------------------------------------------------------------------------