%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC271+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 01:05:20 PM UTC 2026
% Result : Theorem 2.87s 0.68s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 89 ( 20 unt; 4 def)
% Number of atoms : 333 ( 22 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 424 ( 180 ~; 180 |; 28 &)
% ( 12 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 84 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax12) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax93) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ frontsegP(X3,X2)
| ~ strictorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& strictorderedP(X4) )
| totalorderedP(X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ frontsegP(X3,X2)
| ~ strictorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& strictorderedP(X4) )
| totalorderedP(X0) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f110,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f111,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f113,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f112]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& frontsegP(X3,X2)
& strictorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ strictorderedP(X4) )
& ~ totalorderedP(X0)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& frontsegP(X3,X2)
& strictorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ strictorderedP(X4) )
& ~ totalorderedP(X0)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f273,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK28(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f274,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK26(X0),cons(sK24(X0),sK27(X0))),cons(sK25(X0),sK28(X0))) = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f275,plain,
! [X0] :
( ~ ssList(X0)
| ~ leq(sK24(X0),sK25(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f276,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK27(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f277,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK26(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f278,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK25(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f279,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK24(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X1,X2)
| ~ strictorderedP(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f406,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f216]) ).
fof(f413,plain,
~ totalorderedP(sK47),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
strictorderedP(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f423,plain,
~ totalorderedP(sK49),
inference(definition_unfolding,[],[f413,f416]) ).
fof(f434,plain,
! [X2,X3,X1,X4,X5] :
( ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| lt(X1,X2)
| ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5))) ),
inference(equality_resolution,[],[f280]) ).
fof(f486,plain,
! [X0] :
( ssItem(sK24(X0))
| ~ ssList(X0)
| ~ totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f279]) ).
fof(f487,plain,
! [X0] :
( ssItem(sK25(X0))
| ~ ssList(X0)
| ~ totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f278]) ).
fof(f488,plain,
! [X0] :
( ~ totalorderedP(X0)
| ssList(sK26(X0))
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f277]) ).
fof(f489,plain,
! [X0] :
( ~ totalorderedP(X0)
| ssList(sK27(X0))
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f276]) ).
fof(f490,plain,
! [X0] :
( leq(sK24(X0),sK25(X0))
| ~ ssList(X0)
| ~ totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f275]) ).
fof(f491,plain,
! [X0] :
( ~ totalorderedP(X0)
| app(app(sK26(X0),cons(sK24(X0),sK27(X0))),cons(sK25(X0),sK28(X0))) = X0
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f274]) ).
fof(f492,plain,
! [X0] :
( ~ totalorderedP(X0)
| ssList(sK28(X0))
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f273]) ).
fof(f501,plain,
! [X2,X3,X1,X4,X5] :
( ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| lt(X1,X2)
| strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5))) ),
inference(consistent_polarity_flipping,[],[f434]) ).
fof(f555,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f406]) ).
fof(f558,plain,
~ strictorderedP(sK49),
inference(consistent_polarity_flipping,[],[f414]) ).
fof(f559,plain,
totalorderedP(sK49),
inference(consistent_polarity_flipping,[],[f423]) ).
fof(f669,plain,
( ssList(sK26(sK49))
| ~ ssList(sK49) ),
inference(resolution,[],[f488,f559]) ).
fof(f670,plain,
ssList(sK26(sK49)),
inference(forward_subsumption_resolution,[],[f669,f418]) ).
fof(f671,plain,
( ssList(sK27(sK49))
| ~ ssList(sK49) ),
inference(resolution,[],[f489,f559]) ).
fof(f672,plain,
ssList(sK27(sK49)),
inference(forward_subsumption_resolution,[],[f671,f418]) ).
fof(f673,plain,
( ssList(sK28(sK49))
| ~ ssList(sK49) ),
inference(resolution,[],[f492,f559]) ).
fof(f674,plain,
ssList(sK28(sK49)),
inference(forward_subsumption_resolution,[],[f673,f418]) ).
fof(f1957,plain,
( sK49 = app(app(sK26(sK49),cons(sK24(sK49),sK27(sK49))),cons(sK25(sK49),sK28(sK49)))
| ~ ssList(sK49) ),
inference(resolution,[],[f491,f559]) ).
fof(f1958,plain,
sK49 = app(app(sK26(sK49),cons(sK24(sK49),sK27(sK49))),cons(sK25(sK49),sK28(sK49))),
inference(forward_subsumption_resolution,[],[f1957,f418]) ).
fof(f3338,definition,
( spl51_207
<=> ssItem(sK25(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_207])],[avatar_definition]) ).
fof(f3339,plain,
( ssItem(sK25(sK49))
| ~ spl51_207 ),
inference(avatar_component_clause,[],[f3338]) ).
fof(f3340,plain,
( ~ ssItem(sK25(sK49))
| spl51_207 ),
inference(avatar_component_clause,[],[f3338]) ).
fof(f3391,definition,
( spl51_218
<=> leq(sK24(sK49),sK25(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_218])],[avatar_definition]) ).
fof(f3392,plain,
( ~ leq(sK24(sK49),sK25(sK49))
| spl51_218 ),
inference(avatar_component_clause,[],[f3391]) ).
fof(f3399,definition,
( spl51_220
<=> ssItem(sK24(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_220])],[avatar_definition]) ).
fof(f3400,plain,
( ssItem(sK24(sK49))
| ~ spl51_220 ),
inference(avatar_component_clause,[],[f3399]) ).
fof(f3401,plain,
( ~ ssItem(sK24(sK49))
| spl51_220 ),
inference(avatar_component_clause,[],[f3399]) ).
fof(f3417,definition,
( spl51_224
<=> lt(sK24(sK49),sK25(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_224])],[avatar_definition]) ).
fof(f3419,plain,
( lt(sK24(sK49),sK25(sK49))
| ~ spl51_224 ),
inference(avatar_component_clause,[],[f3417]) ).
fof(f5675,plain,
( ~ ssList(sK49)
| ~ totalorderedP(sK49)
| spl51_207 ),
inference(resolution,[],[f3340,f487]) ).
fof(f5676,plain,
( ~ totalorderedP(sK49)
| spl51_207 ),
inference(forward_subsumption_resolution,[],[f5675,f418]) ).
fof(f5677,plain,
( $false
| spl51_207 ),
inference(forward_subsumption_resolution,[],[f5676,f559]) ).
fof(f5678,plain,
spl51_207,
inference(avatar_contradiction_clause,[],[f5677]) ).
fof(f6089,plain,
( ~ ssList(sK49)
| ~ totalorderedP(sK49)
| spl51_220 ),
inference(resolution,[],[f3401,f486]) ).
fof(f6090,plain,
( ~ totalorderedP(sK49)
| spl51_220 ),
inference(forward_subsumption_resolution,[],[f6089,f418]) ).
fof(f6091,plain,
( $false
| spl51_220 ),
inference(forward_subsumption_resolution,[],[f6090,f559]) ).
fof(f6092,plain,
spl51_220,
inference(avatar_contradiction_clause,[],[f6091]) ).
fof(f6940,plain,
( ~ ssList(sK49)
| ~ ssItem(sK24(sK49))
| ~ ssItem(sK25(sK49))
| ~ ssList(sK26(sK49))
| ~ ssList(sK27(sK49))
| ~ ssList(sK28(sK49))
| lt(sK24(sK49),sK25(sK49))
| strictorderedP(sK49) ),
inference(superposition,[],[f501,f1958]) ).
fof(f6993,plain,
( ~ ssItem(sK24(sK49))
| ~ ssItem(sK25(sK49))
| ~ ssList(sK26(sK49))
| ~ ssList(sK27(sK49))
| ~ ssList(sK28(sK49))
| lt(sK24(sK49),sK25(sK49))
| strictorderedP(sK49) ),
inference(forward_subsumption_resolution,[],[f6940,f418]) ).
fof(f7005,plain,
( ~ ssItem(sK24(sK49))
| ~ ssList(sK26(sK49))
| ~ ssList(sK27(sK49))
| ~ ssList(sK28(sK49))
| lt(sK24(sK49),sK25(sK49))
| strictorderedP(sK49)
| ~ spl51_207 ),
inference(forward_subsumption_resolution,[],[f6993,f3339]) ).
fof(f7016,plain,
( ~ ssItem(sK24(sK49))
| ~ ssList(sK27(sK49))
| ~ ssList(sK28(sK49))
| lt(sK24(sK49),sK25(sK49))
| strictorderedP(sK49)
| ~ spl51_207 ),
inference(forward_subsumption_resolution,[],[f7005,f670]) ).
fof(f7020,plain,
( ~ ssItem(sK24(sK49))
| ~ ssList(sK28(sK49))
| lt(sK24(sK49),sK25(sK49))
| strictorderedP(sK49)
| ~ spl51_207 ),
inference(forward_subsumption_resolution,[],[f7016,f672]) ).
fof(f7023,plain,
( ~ ssItem(sK24(sK49))
| lt(sK24(sK49),sK25(sK49))
| strictorderedP(sK49)
| ~ spl51_207 ),
inference(forward_subsumption_resolution,[],[f7020,f674]) ).
fof(f7026,plain,
( ~ ssItem(sK24(sK49))
| lt(sK24(sK49),sK25(sK49))
| ~ spl51_207 ),
inference(forward_subsumption_resolution,[],[f7023,f558]) ).
fof(f7029,plain,
( spl51_224
| ~ spl51_220
| ~ spl51_207 ),
inference(avatar_split_clause,[],[f7026,f3338,f3399,f3417]) ).
fof(f18310,plain,
( ~ ssItem(sK25(sK49))
| ~ leq(sK24(sK49),sK25(sK49))
| ~ ssItem(sK24(sK49))
| ~ spl51_224 ),
inference(resolution,[],[f3419,f555]) ).
fof(f18315,plain,
( ~ leq(sK24(sK49),sK25(sK49))
| ~ ssItem(sK24(sK49))
| ~ spl51_207
| ~ spl51_224 ),
inference(forward_subsumption_resolution,[],[f18310,f3339]) ).
fof(f18330,plain,
( ~ leq(sK24(sK49),sK25(sK49))
| ~ spl51_207
| ~ spl51_220
| ~ spl51_224 ),
inference(forward_subsumption_resolution,[],[f18315,f3400]) ).
fof(f18332,plain,
( ~ spl51_218
| ~ spl51_207
| ~ spl51_220
| ~ spl51_224 ),
inference(avatar_split_clause,[],[f18330,f3417,f3399,f3338,f3391]) ).
fof(f18411,plain,
( ~ ssList(sK49)
| ~ totalorderedP(sK49)
| spl51_218 ),
inference(resolution,[],[f3392,f490]) ).
fof(f18412,plain,
( ~ totalorderedP(sK49)
| spl51_218 ),
inference(forward_subsumption_resolution,[],[f18411,f418]) ).
fof(f18413,plain,
( $false
| spl51_218 ),
inference(forward_subsumption_resolution,[],[f18412,f559]) ).
fof(f18414,plain,
spl51_218,
inference(avatar_contradiction_clause,[],[f18413]) ).
cnf(s481,plain,
spl51_207,
inference(sat_conversion,[],[f5678]) ).
cnf(s513,plain,
spl51_220,
inference(sat_conversion,[],[f6092]) ).
cnf(s737,plain,
( ~ spl51_207
| ~ spl51_220
| spl51_224 ),
inference(sat_conversion,[],[f7029]) ).
cnf(s1456,plain,
( ~ spl51_207
| ~ spl51_218
| ~ spl51_220
| ~ spl51_224 ),
inference(sat_conversion,[],[f18332]) ).
cnf(s1461,plain,
spl51_218,
inference(sat_conversion,[],[f18414]) ).
cnf(s1462,plain,
( ~ spl51_207
| ~ spl51_220
| ~ spl51_224 ),
inference(rat,[],[s1456,s1461]) ).
cnf(s1483,plain,
~ spl51_224,
inference(rat,[],[s1462,s513,s481]) ).
cnf(s1484,plain,
$false,
inference(rat,[],[s737,s513,s1483,s481]) ).
fof(f18415,plain,
$false,
inference(avatar_sat_refutation,[],[s1484]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC271+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n016.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 08:53:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.87/0.68 % (3487454)Will run a generic schedule for satisfiability detection.
% 2.87/0.68 % (3487463)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2129355545:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.87/0.68 % (3487460)% WARNING: option uhcvi not known.
% 2.87/0.68 % (3487459)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3598254614_2999 on theBenchmark for (2999ds/0Mi)
% 2.87/0.68 % (3487461)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3533247982:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.87/0.68 % (3487462)dis+10_1_sil=32000:sp=arity:random_seed=3707419175:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.87/0.68 % (3487460)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3838044057:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.87/0.68 % (3487464)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=293447610:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.87/0.68 % (3487465)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=148714947:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.87/0.68 % TRYING [1]
% 2.87/0.68 % TRYING [2]
% 2.87/0.68 % TRYING [3]
% 2.87/0.68 % (3487463)Instruction limit reached!
% 2.87/0.68 % (3487463)------------------------------
% 2.87/0.68 % (3487463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.68 % (3487463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.68 % (3487463)CaDiCaL version: 2.1.3
% 2.87/0.68 % (3487463)Termination reason: Instruction limit
% 2.87/0.68 % (3487463)Termination phase: Saturation
% 2.87/0.68 % (3487463)Time elapsed: 0.038 s
% 2.87/0.68 % (3487463)Peak memory usage: 13 MB
% 2.87/0.68 % (3487463)Instructions burned: 119 (million)
% 2.87/0.68 % TRYING [4]
% 2.87/0.68 % (3487473)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=106341703:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.87/0.68 % TRYING [1]
% 2.87/0.68 % TRYING [2]
% 2.87/0.68 % TRYING [3]
% 2.87/0.68 % (3487462)Instruction limit reached!
% 2.87/0.68 % (3487462)------------------------------
% 2.87/0.68 % (3487462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.68 % (3487462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.68 % (3487462)CaDiCaL version: 2.1.3
% 2.87/0.68 % (3487462)Termination reason: Instruction limit
% 2.87/0.68 % (3487462)Termination phase: Saturation
% 2.87/0.68 % (3487462)Time elapsed: 0.060 s
% 2.87/0.68 % (3487462)Peak memory usage: 13 MB
% 2.87/0.68 % (3487462)Instructions burned: 104 (million)
% 2.87/0.68 % TRYING [4]
% 2.87/0.68 % (3487464)Instruction limit reached!
% 2.87/0.68 % (3487464)------------------------------
% 2.87/0.68 % (3487464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.68 % (3487464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.68 % (3487464)CaDiCaL version: 2.1.3
% 2.87/0.68 % (3487464)Termination reason: Instruction limit
% 2.87/0.68 % (3487464)Termination phase: Saturation
% 2.87/0.68 % (3487464)Time elapsed: 0.074 s
% 2.87/0.68 % (3487464)Peak memory usage: 14 MB
% 2.87/0.68 % (3487464)Instructions burned: 132 (million)
% 2.87/0.68 % (3487475)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1326872349:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.87/0.68 % TRYING [5]
% 2.87/0.68 % TRYING [5]
% 2.87/0.68 % (3487476)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=815194931:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.87/0.68 % (3487465)Instruction limit reached!
% 2.87/0.68 % (3487465)------------------------------
% 2.87/0.68 % (3487465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.68 % (3487465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.68 % (3487465)CaDiCaL version: 2.1.3
% 2.87/0.68 % (3487465)Termination reason: Instruction limit
% 2.87/0.68 % (3487465)Termination phase: Saturation
% 2.87/0.68 % (3487465)Time elapsed: 0.103 s
% 2.87/0.68 % (3487465)Peak memory usage: 15 MB
% 2.87/0.68 % (3487465)Instructions burned: 160 (million)
% 2.87/0.68 % (3487479)ott-21_1_sil=16000:fs=off:random_seed=372365417:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.87/0.68 % (3487475)Instruction limit reached!
% 2.87/0.68 % (3487475)------------------------------
% 2.87/0.68 % (3487475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.68 % (3487475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.68 % (3487475)CaDiCaL version: 2.1.3
% 2.87/0.68 % (3487475)Termination reason: Instruction limit
% 2.87/0.68 % (3487475)Termination phase: Saturation
% 2.87/0.68 % (3487475)Time elapsed: 0.072 s
% 2.87/0.68 % (3487475)Peak memory usage: 13 MB
% 2.87/0.68 % (3487475)Instructions burned: 131 (million)
% 2.87/0.68 % TRYING [6]
% 2.87/0.68 % (3487481)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1510114463:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.87/0.68 % (3487473)Instruction limit reached!
% 2.87/0.68 % (3487473)------------------------------
% 2.87/0.68 % (3487473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.68 % (3487473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.68 % (3487473)CaDiCaL version: 2.1.3
% 2.87/0.68 % (3487473)Termination reason: Instruction limit
% 2.87/0.68 % (3487473)Termination phase: Finite model building constraint generation
% 2.87/0.68 % (3487473)Time elapsed: 0.156 s
% 2.87/0.68 % (3487473)Peak memory usage: 29 MB
% 2.87/0.68 % (3487473)Instructions burned: 716 (million)
% 2.87/0.68 % (3487483)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2837978695:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.87/0.68 % TRYING [6]
% 2.87/0.68 % (3487479)Instruction limit reached!
% 2.87/0.68 % (3487479)------------------------------
% 2.87/0.68 % (3487479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.68 % (3487479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.68 % (3487479)CaDiCaL version: 2.1.3
% 2.87/0.68 % (3487479)Termination reason: Instruction limit
% 2.87/0.68 % (3487479)Termination phase: Saturation
% 2.87/0.68 % (3487479)Time elapsed: 0.092 s
% 2.87/0.68 % (3487479)Peak memory usage: 13 MB
% 2.87/0.68 % (3487479)Instructions burned: 182 (million)
% 2.87/0.68 % TRYING [1]
% 2.87/0.68 % TRYING [2]
% 2.87/0.68 % TRYING [3]
% 2.87/0.68 % (3487485)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=882393679:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.87/0.68 % TRYING [4]
% 2.87/0.68 % TRYING [5]
% 2.87/0.68 % (3487483)Instruction limit reached!
% 2.87/0.68 % (3487483)------------------------------
% 2.87/0.68 % (3487483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.68 % (3487483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.68 % (3487483)CaDiCaL version: 2.1.3
% 2.87/0.68 % (3487483)Termination reason: Instruction limit
% 2.87/0.68 % (3487483)Termination phase: Finite model building SAT solving
% 2.87/0.68 % (3487483)Time elapsed: 0.182 s
% 2.87/0.68 % (3487483)Peak memory usage: 23 MB
% 2.87/0.68 % (3487483)Instructions burned: 867 (million)
% 2.87/0.68 % (3487460) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3487454-3487460"...
% 2.87/0.68 % (3487487)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2415985557:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.87/0.68 % (3487460)...printing done.
% 2.87/0.68 % (3487460)Refutation found. Thanks to Tanya!
% 2.87/0.68 % SZS status Theorem for theBenchmark
% 2.87/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/0.68 % (3487460)------------------------------
% 2.87/0.68 % (3487460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.68 % (3487460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.68 % (3487460)CaDiCaL version: 2.1.3
% 2.87/0.68 % (3487460)Termination reason: Refutation
% 2.87/0.68 % (3487460)Time elapsed: 0.406 s
% 2.87/0.68 % (3487460)Peak memory usage: 22 MB
% 2.87/0.68 % (3487460)Instructions burned: 728 (million)
% 2.87/0.68 % (3487454)Success in time 0.452 s
% 2.87/0.68 % Vampire exiting
%------------------------------------------------------------------------------