%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT020+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:02:02 PM UTC 2026
% Result : Theorem 2.40s 1.29s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 85 ( 12 unt; 4 def)
% Number of atoms : 261 ( 7 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 325 ( 149 ~; 140 |; 19 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 102 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3) ).
fof(f2,axiom,
! [X0,X1] :
( environment(X0)
=> ( ( in_environment(X0,initial_FM_EP(X0))
=> subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0)) )
& ( subpopulations(first_movers,efficient_producers,X0,X1)
=> greater_or_equal(X1,initial_FM_EP(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_point) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( environment(X0)
& greater_or_equal(X1,X2)
& greater_or_equal(X3,X1)
& subpopulations(first_movers,efficient_producers,X0,X3)
& greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)) )
=> ( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
=> greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_function_difference) ).
fof(f4,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occurs) ).
fof(f5,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(initial_FM_EP(X0),start_time(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_initial_time) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( environment(X0)
& greater_or_equal(X1,start_time(X0))
& greater(X2,X1)
& in_environment(X0,X2) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_order) ).
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) ).
fof(f9,axiom,
! [X0] :
( environment(X0)
=> greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a8) ).
fof(f11,conjecture,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l2) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( ( ( subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ in_environment(X0,initial_FM_EP(X0)) )
& ( greater_or_equal(X1,initial_FM_EP(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ) )
| ~ environment(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f19,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0] :
( greater_or_equal(initial_FM_EP(X0),start_time(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f21,plain,
! [X0,X1,X2] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,start_time(X0))
| ~ greater(X2,X1)
| ~ in_environment(X0,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f22,plain,
! [X0,X1,X2] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,start_time(X0))
| ~ greater(X2,X1)
| ~ in_environment(X0,X2) ),
inference(flattening,[],[f21]) ).
fof(f25,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0] :
( greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0)))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f30,plain,
? [X0,X1] :
( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
& environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f31,plain,
? [X0,X1] :
( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
& environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
( ~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
& environment(sK0)
& subpopulations(first_movers,efficient_producers,sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f34,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater_or_equal(X1,initial_FM_EP(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ in_environment(X0,initial_FM_EP(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f37,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
! [X0] :
( greater_or_equal(initial_FM_EP(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X2,X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,start_time(X0))
| ~ greater(X2,X1)
| ~ in_environment(X0,X2) ),
inference(cnf_transformation,[],[f22]) ).
fof(f41,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
! [X0] :
( greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0)))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f45,plain,
environment(sK0),
inference(cnf_transformation,[],[f32]) ).
fof(f46,plain,
~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)),
inference(cnf_transformation,[],[f32]) ).
fof(f50,plain,
! [X0] :
( greater_or_equal(X0,initial_FM_EP(sK0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) ),
inference(resolution,[],[f34,f45]) ).
fof(f51,plain,
! [X0] :
( greater(X0,initial_FM_EP(sK0))
| initial_FM_EP(sK0) = X0
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) ),
inference(resolution,[],[f50,f41]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ environment(X1)
| ~ greater_or_equal(X0,initial_FM_EP(X2))
| ~ greater_or_equal(X3,X0)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| ~ environment(X2) ),
inference(resolution,[],[f36,f42]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( ~ environment(X0)
| ~ greater_or_equal(X1,initial_FM_EP(X2))
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| ~ environment(X2)
| ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,X1) ),
inference(resolution,[],[f64,f33]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( ~ environment(X1)
| ~ greater_or_equal(X2,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X2)
| greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ greater_or_equal(X0,initial_FM_EP(X1))
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X0) ),
inference(resolution,[],[f78,f45]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ greater_or_equal(X2,initial_FM_EP(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) ),
inference(factoring,[],[f104]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) ),
inference(forward_subsumption_resolution,[],[f151,f34]) ).
fof(f166,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X1) ),
inference(resolution,[],[f152,f45]) ).
fof(f225,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) ),
inference(resolution,[],[f166,f50]) ).
fof(f226,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0)) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f228,definition,
( spl2_25
<=> subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
fof(f230,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0))
| spl2_25 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f232,definition,
( spl2_26
<=> ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
fof(f233,plain,
( ! [X0] :
( greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) )
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( ~ spl2_25
| spl2_26 ),
inference(avatar_split_clause,[],[f226,f232,f228]) ).
fof(f235,plain,
( ~ in_environment(sK0,initial_FM_EP(sK0))
| ~ environment(sK0)
| spl2_25 ),
inference(resolution,[],[f230,f35]) ).
fof(f238,plain,
( ~ in_environment(sK0,initial_FM_EP(sK0))
| spl2_25 ),
inference(forward_subsumption_resolution,[],[f235,f45]) ).
fof(f268,plain,
( ! [X0] :
( ~ environment(sK0)
| ~ greater_or_equal(initial_FM_EP(sK0),start_time(sK0))
| ~ greater(X0,initial_FM_EP(sK0))
| ~ in_environment(sK0,X0) )
| spl2_25 ),
inference(resolution,[],[f238,f39]) ).
fof(f270,plain,
( ! [X0] :
( ~ greater_or_equal(initial_FM_EP(sK0),start_time(sK0))
| ~ greater(X0,initial_FM_EP(sK0))
| ~ in_environment(sK0,X0) )
| spl2_25 ),
inference(forward_subsumption_resolution,[],[f268,f45]) ).
fof(f272,definition,
( spl2_31
<=> ! [X0] :
( ~ greater(X0,initial_FM_EP(sK0))
| ~ in_environment(sK0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
fof(f273,plain,
( ! [X0] :
( ~ in_environment(sK0,X0)
| ~ greater(X0,initial_FM_EP(sK0)) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,definition,
( spl2_32
<=> greater_or_equal(initial_FM_EP(sK0),start_time(sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
fof(f277,plain,
( ~ greater_or_equal(initial_FM_EP(sK0),start_time(sK0))
| spl2_32 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f278,plain,
( spl2_31
| ~ spl2_32
| spl2_25 ),
inference(avatar_split_clause,[],[f270,f228,f275,f272]) ).
fof(f279,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl2_26 ),
inference(resolution,[],[f233,f46]) ).
fof(f282,plain,
( $false
| ~ spl2_26 ),
inference(forward_subsumption_resolution,[],[f279,f44]) ).
fof(f283,plain,
~ spl2_26,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f302,plain,
( ~ environment(sK0)
| spl2_32 ),
inference(resolution,[],[f277,f38]) ).
fof(f303,plain,
( $false
| spl2_32 ),
inference(forward_subsumption_resolution,[],[f302,f45]) ).
fof(f304,plain,
spl2_32,
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f314,plain,
( ! [X0] :
( ~ greater(X0,initial_FM_EP(sK0))
| ~ environment(sK0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) )
| ~ spl2_31 ),
inference(resolution,[],[f273,f37]) ).
fof(f315,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater(X0,initial_FM_EP(sK0)) )
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f314,f45]) ).
fof(f320,plain,
( ~ greater(sK1,initial_FM_EP(sK0))
| ~ spl2_31 ),
inference(resolution,[],[f315,f44]) ).
fof(f330,plain,
( sK1 = initial_FM_EP(sK0)
| ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl2_31 ),
inference(resolution,[],[f320,f51]) ).
fof(f331,plain,
( sK1 = initial_FM_EP(sK0)
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f330,f44]) ).
fof(f373,plain,
( greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
| ~ environment(sK0)
| ~ spl2_31 ),
inference(superposition,[],[f42,f331]) ).
fof(f376,plain,
( ~ environment(sK0)
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f373,f46]) ).
fof(f379,plain,
( $false
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f376,f45]) ).
fof(f380,plain,
~ spl2_31,
inference(avatar_contradiction_clause,[],[f379]) ).
cnf(s18,plain,
( ~ spl2_25
| spl2_26 ),
inference(sat_conversion,[],[f234]) ).
cnf(s25,plain,
( spl2_25
| spl2_31
| ~ spl2_32 ),
inference(sat_conversion,[],[f278]) ).
cnf(s26,plain,
~ spl2_26,
inference(sat_conversion,[],[f283]) ).
cnf(s32,plain,
spl2_32,
inference(sat_conversion,[],[f304]) ).
cnf(s44,plain,
~ spl2_31,
inference(sat_conversion,[],[f380]) ).
cnf(s45,plain,
spl2_25,
inference(rat,[],[s25,s32,s44]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s18,s26,s45]) ).
fof(f381,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT020+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 17:14:40 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 2.40/1.29 % (1674075)Detected formulas, will run a generic FOF schedule.
% 2.40/1.29 % (1674081)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=3738506941:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.40/1.29 % (1674082)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=3650885855:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.40/1.29 % (1674084)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2254334405:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.40/1.29 % (1674080)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=1640979673:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.40/1.29 % (1674083)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4029945318:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.40/1.29 % (1674085)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3383493095:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.40/1.29 % (1674085)First to succeed.
% 2.40/1.29 % (1674086)dis-21_1_sil=8000:lcm=predicate:random_seed=428802737: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)
% 2.40/1.29 % (1674085)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1674075"
% 2.40/1.29 % (1674083)Instruction limit reached!
% 2.40/1.29 % (1674083)------------------------------
% 2.40/1.29 % (1674083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/1.29 % (1674083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/1.29 % (1674083)CaDiCaL version: 2.1.3
% 2.40/1.29 % (1674083)Termination reason: Instruction limit
% 2.40/1.29 % (1674083)Termination phase: Saturation
% 2.40/1.29 % (1674083)Time elapsed: 0.045 s
% 2.40/1.29 % (1674083)Peak memory usage: 88 MB
% 2.40/1.29 % (1674083)Instructions burned: 109 (million)
% 2.40/1.29 % (1674084)Instruction limit reached!
% 2.40/1.29 % (1674084)------------------------------
% 2.40/1.29 % (1674084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/1.29 % (1674084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/1.29 % (1674084)CaDiCaL version: 2.1.3
% 2.40/1.29 % (1674084)Termination reason: Instruction limit
% 2.40/1.29 % (1674084)Termination phase: Saturation
% 2.40/1.29 % (1674084)Time elapsed: 0.063 s
% 2.40/1.29 % (1674084)Peak memory usage: 87 MB
% 2.40/1.29 % (1674084)Instructions burned: 120 (million)
% 2.40/1.29 % (1674086)Instruction limit reached!
% 2.40/1.29 % (1674086)------------------------------
% 2.40/1.29 % (1674086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/1.29 % (1674086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/1.29 % (1674086)CaDiCaL version: 2.1.3
% 2.40/1.29 % (1674086)Termination reason: Instruction limit
% 2.40/1.29 % (1674086)Termination phase: Saturation
% 2.40/1.29 % (1674086)Time elapsed: 0.066 s
% 2.40/1.29 % (1674086)Peak memory usage: 88 MB
% 2.40/1.29 % (1674086)Instructions burned: 129 (million)
% 2.40/1.29 % (1674094)lrs+10_1_sil=8000:sp=occurrence:random_seed=1037961059:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.40/1.29 % (1674095)lrs+10_1_sil=32000:urr=on:br=off:random_seed=908497790:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.40/1.29 % (1674095)Refutation not found, incomplete strategy
% 2.40/1.29 % (1674095)------------------------------
% 2.40/1.29 % (1674095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/1.29 % (1674095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/1.29 % (1674095)CaDiCaL version: 2.1.3
% 2.40/1.29 % (1674095)Termination reason: Refutation not found, incomplete strategy
% 2.40/1.29 % (1674095)Time elapsed: 0.002 s
% 2.40/1.29 % (1674095)Peak memory usage: 88 MB
% 2.40/1.29 % (1674095)Instructions burned: 2 (million)
% 2.40/1.29 % (1674094)Also succeeded, but the first one will report.
% 2.40/1.29 % (1674096)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4221994982:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.40/1.29 % (1674096)Also succeeded, but the first one will report.
% 2.40/1.29 % (1674085)Refutation found. Thanks to Tanya!
% 2.40/1.29 % SZS status Theorem for theBenchmark
% 2.40/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.49 % (1674085)------------------------------
% 3.51/1.49 % (1674085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.49 % (1674085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.49 % (1674085)CaDiCaL version: 2.1.3
% 3.51/1.49 % (1674085)Termination reason: Refutation
% 3.51/1.49 % (1674085)Time elapsed: 0.014 s
% 3.51/1.49 % (1674085)Peak memory usage: 90 MB
% 3.51/1.49 % (1674085)Instructions burned: 16 (million)
% 3.51/1.49 % (1674085)------------------------------
% 3.51/1.49 % (1674085)------------------------------
% 3.51/1.49 % (1674075)Success in time 0.418 s
% 3.51/1.49 % Vampire exiting
%------------------------------------------------------------------------------