TSTP Solution File: MGT027-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:50:58 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 61 ( 14 unt; 0 def)
% Number of atoms : 164 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 212 ( 109 ~; 99 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f234,plain,
$false,
inference(avatar_sat_refutation,[],[f95,f122,f167,f190,f233]) ).
fof(f233,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f232,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f226,f200]) ).
fof(f200,plain,
( greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3))
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f20,f121,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| greater(X0,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).
fof(f121,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl0_4
<=> greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f20,plain,
greater(sk2(sk3),appear(efficient_producers,sk3)),
inference(unit_resulting_resolution,[],[f14,f15,f12]) ).
fof(f12,axiom,
! [X0] :
( greater(sk2(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l10_35) ).
fof(f15,axiom,
stable(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9_38) ).
fof(f14,axiom,
environment(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9_37) ).
fof(f226,plain,
( ~ greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3))
| spl0_1
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f14,f93,f90,f25]) ).
fof(f25,plain,
! [X4,X5] :
( greater(cardinality_at_time(efficient_producers,X5),zero)
| ~ greater(X5,appear(efficient_producers,X4))
| ~ in_environment(X4,X5)
| ~ environment(X4) ),
inference(resolution,[],[f11,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
fof(f11,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_34) ).
fof(f90,plain,
( ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| spl0_1 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl0_1
<=> greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f93,plain,
( in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl0_2
<=> in_environment(sk3,sk1(sk2(sk3),sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f190,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f189]) ).
fof(f189,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f188,f42]) ).
fof(f42,plain,
greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero),
inference(subsumption_resolution,[],[f41,f29]) ).
fof(f29,plain,
in_environment(sk3,sk2(sk3)),
inference(unit_resulting_resolution,[],[f14,f15,f17,f20,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ greater(X2,X1)
| ~ in_environment(X0,X1)
| ~ stable(X0)
| in_environment(X0,X2)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_long_stable_environments_28) ).
fof(f17,plain,
in_environment(sk3,appear(efficient_producers,sk3)),
inference(unit_resulting_resolution,[],[f14,f15,f6]) ).
fof(f6,axiom,
! [X0] :
( in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_EP_in_stable_environments_29) ).
fof(f41,plain,
( ~ in_environment(sk3,sk2(sk3))
| greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero) ),
inference(subsumption_resolution,[],[f39,f14]) ).
fof(f39,plain,
( ~ environment(sk3)
| greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero)
| ~ in_environment(sk3,sk2(sk3)) ),
inference(resolution,[],[f30,f11]) ).
fof(f30,plain,
greater_or_equal(sk2(sk3),appear(efficient_producers,sk3)),
inference(unit_resulting_resolution,[],[f20,f9]) ).
fof(f188,plain,
( ~ greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f187,f117]) ).
fof(f117,plain,
( sk1(sk2(sk3),sk3) = sk2(sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl0_3
<=> sk1(sk2(sk3),sk3) = sk2(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f187,plain,
( ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f185,f29]) ).
fof(f185,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| ~ spl0_3 ),
inference(backward_demodulation,[],[f171,f117]) ).
fof(f171,plain,
( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
inference(subsumption_resolution,[],[f170,f35]) ).
fof(f35,plain,
greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero),
inference(unit_resulting_resolution,[],[f14,f15,f28,f29,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( contracts_from(X1,first_movers)
| greater(cardinality_at_time(first_movers,sk1(X1,X0)),zero)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from_24) ).
fof(f28,plain,
~ contracts_from(sk2(sk3),first_movers),
inference(unit_resulting_resolution,[],[f20,f16]) ).
fof(f16,axiom,
! [X0] :
( ~ contracts_from(X0,first_movers)
| ~ greater(X0,appear(efficient_producers,sk3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9_39) ).
fof(f170,plain,
( ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
inference(subsumption_resolution,[],[f169,f15]) ).
fof(f169,plain,
( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| ~ stable(sk3)
| ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero) ),
inference(subsumption_resolution,[],[f168,f14]) ).
fof(f168,plain,
( ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ stable(sk3)
| ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero) ),
inference(subsumption_resolution,[],[f155,f36]) ).
fof(f36,plain,
~ greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))),
inference(unit_resulting_resolution,[],[f14,f15,f28,f29,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( contracts_from(X1,first_movers)
| ~ in_environment(X0,X1)
| ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from_26) ).
fof(f155,plain,
( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))
| ~ stable(sk3)
| ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| ~ environment(sk3)
| ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
inference(resolution,[],[f37,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,sk2(X0))
| greater(zero,growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ stable(X0)
| ~ environment(X0) ),
inference(duplicate_literal_removal,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| greater(zero,growth_rate(first_movers,X1))
| ~ stable(X0)
| ~ greater_or_equal(X1,sk2(X0)) ),
inference(resolution,[],[f13,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep_27) ).
fof(f13,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,sk2(X0))
| ~ stable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l10_36) ).
fof(f37,plain,
greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3)),
inference(unit_resulting_resolution,[],[f14,f15,f28,f29,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(sk1(X1,X0),X1)
| contracts_from(X1,first_movers)
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from_25) ).
fof(f167,plain,
( spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f163,f119,f92]) ).
fof(f163,plain,
( in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f14,f15,f29,f121,f5]) ).
fof(f122,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f51,f119,f115]) ).
fof(f51,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk1(sk2(sk3),sk3) = sk2(sk3) ),
inference(resolution,[],[f37,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
fof(f95,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f71,f92,f88]) ).
fof(f71,plain,
( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
inference(subsumption_resolution,[],[f70,f35]) ).
fof(f70,plain,
( ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| ~ in_environment(sk3,sk1(sk2(sk3),sk3)) ),
inference(subsumption_resolution,[],[f69,f14]) ).
fof(f69,plain,
( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ environment(sk3)
| ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero) ),
inference(resolution,[],[f58,f4]) ).
fof(f58,plain,
~ subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)),
inference(unit_resulting_resolution,[],[f15,f14,f37,f36,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 03:18:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (3416)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.50 % (3424)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50 % (3415)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (3415)Instruction limit reached!
% 0.19/0.50 % (3415)------------------------------
% 0.19/0.50 % (3415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (3415)Termination reason: Unknown
% 0.19/0.50 % (3415)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (3415)Memory used [KB]: 5884
% 0.19/0.50 % (3415)Time elapsed: 0.110 s
% 0.19/0.50 % (3415)Instructions burned: 4 (million)
% 0.19/0.50 % (3415)------------------------------
% 0.19/0.50 % (3415)------------------------------
% 0.19/0.50 % (3408)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (3423)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.51 % (3431)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (3406)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.52 % (3404)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.52 % (3406)Refutation not found, incomplete strategy% (3406)------------------------------
% 0.19/0.52 % (3406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (3406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (3406)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (3406)Memory used [KB]: 5884
% 0.19/0.52 % (3406)Time elapsed: 0.127 s
% 0.19/0.52 % (3406)Instructions burned: 2 (million)
% 0.19/0.52 % (3406)------------------------------
% 0.19/0.52 % (3406)------------------------------
% 0.19/0.52 % (3413)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52 % (3424)First to succeed.
% 0.19/0.52 % (3412)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (3414)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.52 % (3411)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (3424)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (3424)------------------------------
% 0.19/0.52 % (3424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (3424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (3424)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (3424)Memory used [KB]: 6140
% 0.19/0.52 % (3424)Time elapsed: 0.070 s
% 0.19/0.52 % (3424)Instructions burned: 17 (million)
% 0.19/0.52 % (3424)------------------------------
% 0.19/0.52 % (3424)------------------------------
% 0.19/0.52 % (3401)Success in time 0.184 s
%------------------------------------------------------------------------------