%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT038+1 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:02:10 PM UTC 2026
% Result : CounterSatisfiable 4.87s 1.66s
% Output : Saturation 4.87s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u59,hypothesis,
( in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0) ) ).
cnf(u35,axiom,
( ~ contracts_from(X1,X0)
| ~ finite_set(X0)
| zero = cardinality_at_time(s,sK2(X1)) ) ).
cnf(u46,negated_conjecture,
zero = cardinality_at_time(s,sK2(sK0(sK1))) ).
cnf(u29,negated_conjecture,
stable(sK1) ).
cnf(u53,hypothesis,
( greater(X1,appear(first_movers,X0))
| ~ stable(X0)
| ~ greater(X1,sK0(X0))
| ~ environment(X0) ) ).
cnf(u48,hypothesis,
( ~ in_environment(X0,appear(efficient_producers,X1))
| ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sK0(X1))
| ~ environment(X1)
| ~ stable(X1) ) ).
cnf(u39,hypothesis,
( greater(sK2(sK0(X0)),sK0(X0))
| ~ environment(X0)
| ~ stable(X0) ) ).
cnf(u73,hypothesis,
( ~ greater(X1,sK2(sK0(X0)))
| ~ environment(X0)
| ~ stable(X0)
| greater(X1,appear(first_movers,X0)) ) ).
cnf(u63,hypothesis,
( ~ greater(X1,sK2(sK0(X0)))
| ~ environment(X0)
| ~ stable(X0)
| greater(X1,appear(efficient_producers,X0)) ) ).
cnf(u34,axiom,
( ~ greater(X2,X1)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| in_environment(X0,X2) ) ).
cnf(u41,hypothesis,
( greater(X1,appear(efficient_producers,X0))
| ~ stable(X0)
| ~ greater(X1,sK0(X0))
| ~ environment(X0) ) ).
cnf(u52,hypothesis,
( ~ in_environment(X1,appear(first_movers,X0))
| ~ stable(X0)
| ~ environment(X1)
| ~ stable(X1)
| ~ environment(X0)
| in_environment(X1,sK0(X0)) ) ).
cnf(u28,hypothesis,
( greater(appear(efficient_producers,X0),appear(first_movers,X0))
| ~ environment(X0) ) ).
cnf(u27,hypothesis,
( greater(sK0(X0),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0) ) ).
cnf(u51,hypothesis,
( greater(sK0(X0),appear(first_movers,X0))
| ~ environment(X0)
| ~ stable(X0) ) ).
cnf(u65,hypothesis,
( ~ greater(X1,sK0(X0))
| ~ stable(X0)
| ~ environment(X0)
| ~ greater(X2,X1)
| greater(X2,appear(first_movers,X0)) ) ).
cnf(u40,hypothesis,
( ~ greater(X0,appear(efficient_producers,X1))
| greater(X0,appear(first_movers,X1))
| ~ environment(X1) ) ).
cnf(u55,hypothesis,
( ~ in_environment(X2,appear(efficient_producers,X0))
| ~ greater(X1,sK0(X0))
| ~ environment(X0)
| ~ environment(X2)
| ~ stable(X2)
| ~ stable(X0)
| in_environment(X2,X1) ) ).
cnf(u31,negated_conjecture,
( zero != cardinality_at_time(first_movers,X1)
| ~ greater(X1,appear(first_movers,sK1))
| ~ in_environment(sK1,X1) ) ).
cnf(u26,hypothesis,
( contracts_from(sK0(X0),first_movers)
| ~ environment(X0)
| ~ stable(X0) ) ).
cnf(u33,axiom,
finite_set(first_movers) ).
cnf(u44,hypothesis,
( ~ stable(X0)
| ~ environment(X0)
| zero = cardinality_at_time(s,sK2(sK0(X0))) ) ).
cnf(u30,negated_conjecture,
environment(sK1) ).
cnf(u69,hypothesis,
( in_environment(X0,sK2(sK0(X0)))
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(u64,hypothesis,
( ~ in_environment(X2,appear(first_movers,X0))
| ~ greater(X1,sK0(X0))
| ~ environment(X0)
| ~ environment(X2)
| ~ stable(X2)
| ~ stable(X0)
| in_environment(X2,X1) ) ).
cnf(u61,hypothesis,
( in_environment(X0,sK0(X0))
| ~ environment(X0)
| ~ stable(X0) ) ).
cnf(u37,axiom,
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ) ).
cnf(u32,axiom,
( in_environment(X0,appear(first_movers,X0))
| ~ environment(X0)
| ~ stable(X0) ) ).
cnf(u56,hypothesis,
( ~ greater(X1,sK0(X0))
| ~ stable(X0)
| ~ environment(X0)
| ~ greater(X2,X1)
| greater(X2,appear(efficient_producers,X0)) ) ).
cnf(u47,hypothesis,
( ~ in_environment(X0,appear(first_movers,X1))
| ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,appear(efficient_producers,X1))
| ~ environment(X1) ) ).
cnf(u42,hypothesis,
( ~ greater(X1,sK2(sK0(X0)))
| ~ stable(X0)
| ~ environment(X0)
| greater(X1,sK0(X0)) ) ).
cnf(u49,hypothesis,
( in_environment(X0,sK2(sK0(X1)))
| ~ stable(X0)
| ~ in_environment(X0,sK0(X1))
| ~ environment(X0)
| ~ environment(X1)
| ~ stable(X1) ) ).
cnf(u36,axiom,
( ~ contracts_from(X1,X0)
| ~ finite_set(X0)
| greater(sK2(X1),X1) ) ).
cnf(u67,hypothesis,
( ~ greater(X0,sK0(X1))
| ~ environment(X1)
| ~ stable(X1)
| in_environment(X1,X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT038+1 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n013.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 17:22:52 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.87/1.66 % (437604)Detected formulas, will run a generic FOF schedule.
% 4.87/1.66 % (437610)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=762859126:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.87/1.66 % (437615)dis-21_1_sil=8000:lcm=predicate:random_seed=3977884075: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)
% 4.87/1.66 % (437615)Refutation not found, incomplete strategy
% 4.87/1.66 % (437615)------------------------------
% 4.87/1.66 % (437615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.66 % (437615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.66 % (437615)CaDiCaL version: 2.1.3
% 4.87/1.66 % (437615)Termination reason: Refutation not found, incomplete strategy
% 4.87/1.66 % (437615)Time elapsed: 0.002 s
% 4.87/1.66 % (437615)Peak memory usage: 88 MB
% 4.87/1.66 % (437615)Instructions burned: 1 (million)
% 4.87/1.66 % (437611)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=1987047229:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.87/1.66 % (437613)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1050275962:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.87/1.66 % (437612)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1602191573:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.87/1.66 % (437609)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=1972345557:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.87/1.66 % (437613)Refutation not found, incomplete strategy
% 4.87/1.66 % (437613)------------------------------
% 4.87/1.66 % (437613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.66 % (437613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.66 % (437613)CaDiCaL version: 2.1.3
% 4.87/1.66 % (437613)Termination reason: Refutation not found, incomplete strategy
% 4.87/1.66 % (437613)Time elapsed: 0.001 s
% 4.87/1.66 % (437613)Peak memory usage: 88 MB
% 4.87/1.66 % (437614)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3680486602:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.87/1.66 % (437614)Refutation not found, incomplete strategy
% 4.87/1.66 % (437614)------------------------------
% 4.87/1.66 % (437614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.66 % (437614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.66 % (437614)CaDiCaL version: 2.1.3
% 4.87/1.66 % (437614)Termination reason: Refutation not found, incomplete strategy
% 4.87/1.66 % (437614)Time elapsed: 0.002 s
% 4.87/1.66 % (437614)Peak memory usage: 88 MB
% 4.87/1.66 % (437614)Instructions burned: 1 (million)
% 4.87/1.66 % (437612)Instruction limit reached!
% 4.87/1.66 % (437612)------------------------------
% 4.87/1.66 % (437612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.66 % (437612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.66 % (437612)CaDiCaL version: 2.1.3
% 4.87/1.66 % (437612)Termination reason: Instruction limit
% 4.87/1.66 % (437612)Termination phase: Saturation
% 4.87/1.66 % (437612)Time elapsed: 0.048 s
% 4.87/1.66 % (437612)Peak memory usage: 88 MB
% 4.87/1.66 % (437612)Instructions burned: 111 (million)
% 4.87/1.66 % (437623)lrs+10_1_sil=8000:sp=occurrence:random_seed=2462698876:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.87/1.66 % (437623)First to succeed.
% 4.87/1.66 % (437623)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-437604"
% 4.87/1.66 % (437615)------------------------------
% 4.87/1.66 % (437615)------------------------------
% 4.87/1.66 % (437613)------------------------------
% 4.87/1.66 % (437613)------------------------------
% 4.87/1.66 % (437614)------------------------------
% 4.87/1.66 % (437614)------------------------------
% 4.87/1.66 % (437610)Also succeeded, but the first one will report.
% 4.87/1.66 % (437625)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3320775619:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.87/1.66 % (437625)Refutation not found, incomplete strategy
% 4.87/1.66 % (437625)------------------------------
% 4.87/1.66 % (437625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.66 % (437625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.66 % (437625)CaDiCaL version: 2.1.3
% 4.87/1.66 % (437625)Termination reason: Refutation not found, incomplete strategy
% 4.87/1.66 % (437625)Time elapsed: 0.003 s
% 4.87/1.66 % (437625)Peak memory usage: 88 MB
% 4.87/1.66 % (437625)Instructions burned: 2 (million)
% 4.87/1.66 % (437626)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2529610179:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.87/1.66 % (437627)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=2462800041:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.87/1.66 % (437626)Refutation not found, incomplete strategy
% 4.87/1.66 % (437626)------------------------------
% 4.87/1.66 % (437626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.66 % (437626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.66 % (437626)CaDiCaL version: 2.1.3
% 4.87/1.66 % (437626)Termination reason: Refutation not found, incomplete strategy
% 4.87/1.66 % (437626)Time elapsed: 0.001 s
% 4.87/1.66 % (437626)Peak memory usage: 88 MB
% 4.87/1.66 % (437626)Instructions burned: 1 (million)
% 4.87/1.66 % (437627)Refutation not found, incomplete strategy
% 4.87/1.66 % (437627)------------------------------
% 4.87/1.66 % (437627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.66 % (437627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.66 % (437627)CaDiCaL version: 2.1.3
% 4.87/1.66 % (437627)Termination reason: Refutation not found, incomplete strategy
% 4.87/1.66 % (437627)Time elapsed: 0.002 s
% 4.87/1.66 % (437627)Peak memory usage: 88 MB
% 4.87/1.66 % (437627)Instructions burned: 2 (million)
% 4.87/1.66 % SZS status CounterSatisfiable for theBenchmark
% 4.87/1.66 % SZS output start Saturation.
% See solution above
% 4.87/1.66 % SZS output start Definitions and Model Updates.
% 4.87/1.66 % SZS output end Definitions and Model Updates.
% 4.87/1.66 % (437623)------------------------------
% 4.87/1.66 % (437623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.66 % (437623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.66 % (437623)CaDiCaL version: 2.1.3
% 4.87/1.66 % (437623)Termination reason: Satisfiable
% 4.87/1.66 % (437623)Time elapsed: 0.003 s
% 4.87/1.66 % (437623)Peak memory usage: 88 MB
% 4.87/1.66 % (437623)Instructions burned: 3 (million)
% 4.87/1.66 % (437623)------------------------------
% 4.87/1.66 % (437623)------------------------------
% 4.87/1.66 % (437604)Success in time 0.603 s
% 4.87/1.66 % Vampire exiting
%------------------------------------------------------------------------------