%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC340+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 01:05:37 PM UTC 2026
% Result : Theorem 3.77s 0.86s
% Output : Refutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 115 ( 19 unt; 9 def)
% Number of atoms : 379 ( 23 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 416 ( 152 ~; 203 |; 20 &)
% ( 17 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 10 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 82 !; 8 ?)
% 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/sandbox/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/sandbox/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/sandbox/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
| ~ segmentP(X3,X2)
| ~ strictorderedP(X2)
| ( segmentP(X1,X0)
& totalorderedP(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,X2)
| ~ strictorderedP(X2)
| ( segmentP(X1,X0)
& 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
& segmentP(X3,X2)
& strictorderedP(X2)
& ( ~ segmentP(X1,X0)
| ~ 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
& segmentP(X3,X2)
& strictorderedP(X2)
& ( ~ segmentP(X1,X0)
| ~ 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(f411,plain,
( ~ totalorderedP(sK47)
| ~ segmentP(sK48,sK47) ),
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
strictorderedP(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
segmentP(sK50,sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
ssList(sK47),
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
ssList(sK49),
inference(definition_unfolding,[],[f419,f415]) ).
fof(f422,plain,
( ~ totalorderedP(sK49)
| ~ segmentP(sK50,sK49) ),
inference(definition_unfolding,[],[f411,f415,f416,f415]) ).
fof(f433,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(f492,plain,
! [X0] :
( ssItem(sK24(X0))
| ssList(X0)
| totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f279]) ).
fof(f493,plain,
! [X0] :
( ssItem(sK25(X0))
| ssList(X0)
| totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f278]) ).
fof(f494,plain,
! [X0] :
( ~ ssList(sK26(X0))
| ssList(X0)
| totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f277]) ).
fof(f495,plain,
! [X0] :
( ~ ssList(sK27(X0))
| ssList(X0)
| totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f276]) ).
fof(f496,plain,
! [X0] :
( ~ leq(sK24(X0),sK25(X0))
| ssList(X0)
| totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f275]) ).
fof(f497,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(f498,plain,
! [X0] :
( ~ ssList(sK28(X0))
| ssList(X0)
| totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f273]) ).
fof(f507,plain,
! [X2,X3,X1,X4,X5] :
( ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssItem(X1)
| ~ ssItem(X2)
| ssList(X3)
| ssList(X4)
| ssList(X5)
| ~ lt(X1,X2)
| ssList(app(app(X3,cons(X1,X4)),cons(X2,X5))) ),
inference(consistent_polarity_flipping,[],[f433]) ).
fof(f618,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ ssItem(X1)
| leq(X0,X1)
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f406]) ).
fof(f621,plain,
~ ssList(sK49),
inference(consistent_polarity_flipping,[],[f420]) ).
fof(f633,definition,
( spl51_1
<=> segmentP(sK50,sK49) ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f637,definition,
( spl51_2
<=> totalorderedP(sK49) ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f639,plain,
( ~ totalorderedP(sK49)
| spl51_2 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f640,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f422,f637,f633]) ).
fof(f641,plain,
spl51_1,
inference(avatar_split_clause,[],[f414,f633]) ).
fof(f2342,plain,
( sK49 = app(app(sK26(sK49),cons(sK24(sK49),sK27(sK49))),cons(sK25(sK49),sK28(sK49)))
| ssList(sK49)
| spl51_2 ),
inference(resolution,[],[f497,f639]) ).
fof(f2346,plain,
( sK49 = app(app(sK26(sK49),cons(sK24(sK49),sK27(sK49))),cons(sK25(sK49),sK28(sK49)))
| spl51_2 ),
inference(forward_subsumption_resolution,[],[f2342,f621]) ).
fof(f4075,plain,
( ~ strictorderedP(sK49)
| ~ ssItem(sK24(sK49))
| ~ ssItem(sK25(sK49))
| ssList(sK26(sK49))
| ssList(sK27(sK49))
| ssList(sK28(sK49))
| ~ lt(sK24(sK49),sK25(sK49))
| ssList(sK49)
| spl51_2 ),
inference(superposition,[],[f507,f2346]) ).
fof(f4133,definition,
( spl51_198
<=> ssList(sK28(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_198])],[avatar_definition]) ).
fof(f4135,plain,
( ssList(sK28(sK49))
| ~ spl51_198 ),
inference(avatar_component_clause,[],[f4133]) ).
fof(f4137,definition,
( spl51_199
<=> ssItem(sK25(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_199])],[avatar_definition]) ).
fof(f4138,plain,
( ssItem(sK25(sK49))
| ~ spl51_199 ),
inference(avatar_component_clause,[],[f4137]) ).
fof(f4139,plain,
( ~ ssItem(sK25(sK49))
| spl51_199 ),
inference(avatar_component_clause,[],[f4137]) ).
fof(f4161,plain,
( ~ ssItem(sK24(sK49))
| ~ ssItem(sK25(sK49))
| ssList(sK26(sK49))
| ssList(sK27(sK49))
| ssList(sK28(sK49))
| ~ lt(sK24(sK49),sK25(sK49))
| ssList(sK49)
| spl51_2 ),
inference(forward_subsumption_resolution,[],[f4075,f413]) ).
fof(f4170,definition,
( spl51_206
<=> ssList(sK26(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_206])],[avatar_definition]) ).
fof(f4172,plain,
( ssList(sK26(sK49))
| ~ spl51_206 ),
inference(avatar_component_clause,[],[f4170]) ).
fof(f4182,plain,
( ~ ssItem(sK24(sK49))
| ~ ssItem(sK25(sK49))
| ssList(sK26(sK49))
| ssList(sK27(sK49))
| ssList(sK28(sK49))
| ~ lt(sK24(sK49),sK25(sK49))
| spl51_2 ),
inference(forward_subsumption_resolution,[],[f4161,f621]) ).
fof(f4184,definition,
( spl51_209
<=> leq(sK24(sK49),sK25(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_209])],[avatar_definition]) ).
fof(f4186,plain,
( leq(sK24(sK49),sK25(sK49))
| ~ spl51_209 ),
inference(avatar_component_clause,[],[f4184]) ).
fof(f4192,definition,
( spl51_211
<=> ssList(sK27(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_211])],[avatar_definition]) ).
fof(f4194,plain,
( ssList(sK27(sK49))
| ~ spl51_211 ),
inference(avatar_component_clause,[],[f4192]) ).
fof(f4196,definition,
( spl51_212
<=> ssItem(sK24(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_212])],[avatar_definition]) ).
fof(f4197,plain,
( ssItem(sK24(sK49))
| ~ spl51_212 ),
inference(avatar_component_clause,[],[f4196]) ).
fof(f4198,plain,
( ~ ssItem(sK24(sK49))
| spl51_212 ),
inference(avatar_component_clause,[],[f4196]) ).
fof(f4205,definition,
( spl51_214
<=> lt(sK24(sK49),sK25(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_214])],[avatar_definition]) ).
fof(f4207,plain,
( ~ lt(sK24(sK49),sK25(sK49))
| spl51_214 ),
inference(avatar_component_clause,[],[f4205]) ).
fof(f4217,plain,
( ~ spl51_214
| spl51_198
| spl51_211
| spl51_206
| ~ spl51_199
| ~ spl51_212
| spl51_2 ),
inference(avatar_split_clause,[],[f4182,f637,f4196,f4137,f4170,f4192,f4133,f4205]) ).
fof(f4305,plain,
( ssList(sK49)
| totalorderedP(sK49)
| spl51_199 ),
inference(resolution,[],[f4139,f493]) ).
fof(f4306,plain,
( totalorderedP(sK49)
| spl51_199 ),
inference(forward_subsumption_resolution,[],[f4305,f621]) ).
fof(f4307,plain,
( $false
| spl51_2
| spl51_199 ),
inference(forward_subsumption_resolution,[],[f4306,f639]) ).
fof(f4308,plain,
( spl51_2
| spl51_199 ),
inference(avatar_contradiction_clause,[],[f4307]) ).
fof(f4316,plain,
( ssList(sK49)
| totalorderedP(sK49)
| spl51_212 ),
inference(resolution,[],[f4198,f492]) ).
fof(f4317,plain,
( totalorderedP(sK49)
| spl51_212 ),
inference(forward_subsumption_resolution,[],[f4316,f621]) ).
fof(f4318,plain,
( $false
| spl51_2
| spl51_212 ),
inference(forward_subsumption_resolution,[],[f4317,f639]) ).
fof(f4319,plain,
( spl51_2
| spl51_212 ),
inference(avatar_contradiction_clause,[],[f4318]) ).
fof(f4407,plain,
( ssList(sK49)
| totalorderedP(sK49)
| ~ spl51_198 ),
inference(resolution,[],[f4135,f498]) ).
fof(f4408,plain,
( totalorderedP(sK49)
| ~ spl51_198 ),
inference(forward_subsumption_resolution,[],[f4407,f621]) ).
fof(f4409,plain,
( $false
| spl51_2
| ~ spl51_198 ),
inference(forward_subsumption_resolution,[],[f4408,f639]) ).
fof(f4410,plain,
( spl51_2
| ~ spl51_198 ),
inference(avatar_contradiction_clause,[],[f4409]) ).
fof(f4952,plain,
( ssList(sK49)
| totalorderedP(sK49)
| ~ spl51_206 ),
inference(resolution,[],[f4172,f494]) ).
fof(f4953,plain,
( totalorderedP(sK49)
| ~ spl51_206 ),
inference(forward_subsumption_resolution,[],[f4952,f621]) ).
fof(f4954,plain,
( $false
| spl51_2
| ~ spl51_206 ),
inference(forward_subsumption_resolution,[],[f4953,f639]) ).
fof(f4955,plain,
( spl51_2
| ~ spl51_206 ),
inference(avatar_contradiction_clause,[],[f4954]) ).
fof(f40381,plain,
( ~ ssItem(sK25(sK49))
| leq(sK24(sK49),sK25(sK49))
| ~ ssItem(sK24(sK49))
| spl51_214 ),
inference(resolution,[],[f4207,f618]) ).
fof(f40382,plain,
( leq(sK24(sK49),sK25(sK49))
| ~ ssItem(sK24(sK49))
| ~ spl51_199
| spl51_214 ),
inference(forward_subsumption_resolution,[],[f40381,f4138]) ).
fof(f40388,plain,
( leq(sK24(sK49),sK25(sK49))
| ~ spl51_199
| ~ spl51_212
| spl51_214 ),
inference(forward_subsumption_resolution,[],[f40382,f4197]) ).
fof(f40391,plain,
( spl51_209
| ~ spl51_199
| ~ spl51_212
| spl51_214 ),
inference(avatar_split_clause,[],[f40388,f4205,f4196,f4137,f4184]) ).
fof(f40397,plain,
( ssList(sK49)
| totalorderedP(sK49)
| ~ spl51_209 ),
inference(resolution,[],[f4186,f496]) ).
fof(f40407,plain,
( totalorderedP(sK49)
| ~ spl51_209 ),
inference(forward_subsumption_resolution,[],[f40397,f621]) ).
fof(f40412,plain,
( $false
| spl51_2
| ~ spl51_209 ),
inference(forward_subsumption_resolution,[],[f40407,f639]) ).
fof(f40413,plain,
( spl51_2
| ~ spl51_209 ),
inference(avatar_contradiction_clause,[],[f40412]) ).
fof(f40446,plain,
( ssList(sK49)
| totalorderedP(sK49)
| ~ spl51_211 ),
inference(resolution,[],[f4194,f495]) ).
fof(f40447,plain,
( totalorderedP(sK49)
| ~ spl51_211 ),
inference(forward_subsumption_resolution,[],[f40446,f621]) ).
fof(f40448,plain,
( $false
| spl51_2
| ~ spl51_211 ),
inference(forward_subsumption_resolution,[],[f40447,f639]) ).
fof(f40449,plain,
( spl51_2
| ~ spl51_211 ),
inference(avatar_contradiction_clause,[],[f40448]) ).
cnf(s1,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(sat_conversion,[],[f640]) ).
cnf(s2,plain,
spl51_1,
inference(sat_conversion,[],[f641]) ).
cnf(s242,plain,
( spl51_2
| spl51_198
| ~ spl51_199
| spl51_206
| spl51_211
| ~ spl51_212
| ~ spl51_214 ),
inference(sat_conversion,[],[f4217]) ).
cnf(s253,plain,
( spl51_2
| spl51_199 ),
inference(sat_conversion,[],[f4308]) ).
cnf(s254,plain,
( spl51_2
| spl51_212 ),
inference(sat_conversion,[],[f4319]) ).
cnf(s265,plain,
( spl51_2
| ~ spl51_198 ),
inference(sat_conversion,[],[f4410]) ).
cnf(s296,plain,
( spl51_2
| ~ spl51_206 ),
inference(sat_conversion,[],[f4955]) ).
cnf(s2525,plain,
( ~ spl51_199
| spl51_209
| ~ spl51_212
| spl51_214 ),
inference(sat_conversion,[],[f40391]) ).
cnf(s2528,plain,
( spl51_2
| ~ spl51_209 ),
inference(sat_conversion,[],[f40413]) ).
cnf(s2541,plain,
( spl51_2
| ~ spl51_211 ),
inference(sat_conversion,[],[f40449]) ).
cnf(s2552,plain,
~ spl51_2,
inference(rat,[],[s1,s2]) ).
cnf(s2553,plain,
~ spl51_211,
inference(rat,[],[s2541,s2552]) ).
cnf(s2554,plain,
~ spl51_209,
inference(rat,[],[s2528,s2552]) ).
cnf(s2555,plain,
~ spl51_206,
inference(rat,[],[s296,s2552]) ).
cnf(s2556,plain,
~ spl51_198,
inference(rat,[],[s265,s2552]) ).
cnf(s2557,plain,
spl51_212,
inference(rat,[],[s254,s2552]) ).
cnf(s2558,plain,
spl51_199,
inference(rat,[],[s253,s2552]) ).
cnf(s2560,plain,
~ spl51_214,
inference(rat,[],[s242,s2552,s2557,s2553,s2555,s2558,s2556]) ).
cnf(s2561,plain,
$false,
inference(rat,[],[s2525,s2554,s2557,s2560,s2558]) ).
fof(f40450,plain,
$false,
inference(avatar_sat_refutation,[],[s2561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC340+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:15:48 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.77/0.86 % (3498917)Will run a generic schedule for satisfiability detection.
% 3.77/0.86 % (3498923)% WARNING: option uhcvi not known.
% 3.77/0.86 % (3498923)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=613321657:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.77/0.86 % (3498922)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=816442077_2999 on theBenchmark for (2999ds/0Mi)
% 3.77/0.86 % (3498924)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3552565348:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.77/0.86 % (3498925)dis+10_1_sil=32000:sp=arity:random_seed=2111354440:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.77/0.86 % (3498926)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3709727222:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.77/0.86 % (3498927)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3047374613:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.77/0.86 % (3498928)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2168897070:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.77/0.86 % TRYING [1]
% 3.77/0.86 % TRYING [2]
% 3.77/0.86 % TRYING [3]
% 3.77/0.86 % TRYING [4]
% 3.77/0.86 % (3498925)Instruction limit reached!
% 3.77/0.86 % (3498925)------------------------------
% 3.77/0.86 % (3498925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.86 % (3498925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.86 % (3498925)CaDiCaL version: 2.1.3
% 3.77/0.86 % (3498925)Termination reason: Instruction limit
% 3.77/0.86 % (3498925)Termination phase: Saturation
% 3.77/0.86 % (3498925)Time elapsed: 0.061 s
% 3.77/0.86 % (3498925)Peak memory usage: 13 MB
% 3.77/0.86 % (3498925)Instructions burned: 104 (million)
% 3.77/0.86 % (3498926)Instruction limit reached!
% 3.77/0.86 % (3498926)------------------------------
% 3.77/0.86 % (3498926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.86 % (3498926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.86 % (3498926)CaDiCaL version: 2.1.3
% 3.77/0.86 % (3498926)Termination reason: Instruction limit
% 3.77/0.86 % (3498926)Termination phase: Saturation
% 3.77/0.86 % (3498926)Time elapsed: 0.068 s
% 3.77/0.86 % (3498926)Peak memory usage: 13 MB
% 3.77/0.86 % (3498926)Instructions burned: 116 (million)
% 3.77/0.86 % (3498927)Instruction limit reached!
% 3.77/0.86 % (3498927)------------------------------
% 3.77/0.86 % (3498927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.86 % (3498927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.86 % (3498927)CaDiCaL version: 2.1.3
% 3.77/0.86 % (3498927)Termination reason: Instruction limit
% 3.77/0.86 % (3498927)Termination phase: Saturation
% 3.77/0.86 % (3498927)Time elapsed: 0.074 s
% 3.77/0.86 % (3498927)Peak memory usage: 14 MB
% 3.77/0.86 % (3498927)Instructions burned: 131 (million)
% 3.77/0.86 % (3498936)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=955809761:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.77/0.86 % TRYING [5]
% 3.77/0.86 % (3498937)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=50050966:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.77/0.86 % (3498938)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=3800274300:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.77/0.86 % TRYING [1]
% 3.77/0.86 % TRYING [2]
% 3.77/0.86 % (3498928)Instruction limit reached!
% 3.77/0.86 % (3498928)------------------------------
% 3.77/0.86 % (3498928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.86 % (3498928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.86 % (3498928)CaDiCaL version: 2.1.3
% 3.77/0.86 % (3498928)Termination reason: Instruction limit
% 3.77/0.86 % (3498928)Termination phase: Saturation
% 3.77/0.86 % (3498928)Time elapsed: 0.099 s
% 3.77/0.86 % (3498928)Peak memory usage: 15 MB
% 3.77/0.86 % (3498928)Instructions burned: 161 (million)
% 3.77/0.86 % TRYING [3]
% 3.77/0.86 % TRYING [4]
% 3.77/0.86 % (3498942)ott-21_1_sil=16000:fs=off:random_seed=809902664:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.77/0.86 % (3498937)Instruction limit reached!
% 3.77/0.86 % (3498937)------------------------------
% 3.77/0.86 % (3498937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.86 % (3498937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.86 % (3498937)CaDiCaL version: 2.1.3
% 3.77/0.86 % (3498937)Termination reason: Instruction limit
% 3.77/0.86 % (3498937)Termination phase: Saturation
% 3.77/0.86 % (3498937)Time elapsed: 0.073 s
% 3.77/0.86 % (3498937)Peak memory usage: 13 MB
% 3.77/0.86 % (3498937)Instructions burned: 135 (million)
% 3.77/0.86 % TRYING [5]
% 3.77/0.86 % (3498944)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2021338681:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 3.77/0.86 % TRYING [6]
% 3.77/0.86 % (3498942)Instruction limit reached!
% 3.77/0.86 % (3498942)------------------------------
% 3.77/0.86 % (3498942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.86 % (3498942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.86 % (3498942)CaDiCaL version: 2.1.3
% 3.77/0.86 % (3498942)Termination reason: Instruction limit
% 3.77/0.86 % (3498942)Termination phase: Saturation
% 3.77/0.86 % (3498942)Time elapsed: 0.094 s
% 3.77/0.86 % (3498942)Peak memory usage: 13 MB
% 3.77/0.86 % (3498942)Instructions burned: 182 (million)
% 3.77/0.86 % (3498946)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2104897171:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.77/0.86 % TRYING [1]
% 3.77/0.86 % TRYING [2]
% 3.77/0.86 % TRYING [3]
% 3.77/0.86 % TRYING [4]
% 3.77/0.86 % TRYING [6]
% 3.77/0.86 % (3498936)Instruction limit reached!
% 3.77/0.86 % (3498936)------------------------------
% 3.77/0.86 % (3498936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.86 % (3498936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.86 % (3498936)CaDiCaL version: 2.1.3
% 3.77/0.86 % (3498936)Termination reason: Instruction limit
% 3.77/0.86 % (3498936)Termination phase: Finite model building constraint generation
% 3.77/0.86 % (3498936)Time elapsed: 0.294 s
% 3.77/0.86 % (3498936)Peak memory usage: 28 MB
% 3.77/0.86 % (3498936)Instructions burned: 717 (million)
% 3.77/0.86 % (3498950)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1700691071:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 3.77/0.86 % TRYING [5]
% 3.77/0.86 % (3498938)Instruction limit reached!
% 3.77/0.86 % (3498938)------------------------------
% 3.77/0.86 % (3498938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.86 % (3498938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.86 % (3498938)CaDiCaL version: 2.1.3
% 3.77/0.86 % (3498938)Termination reason: Instruction limit
% 3.77/0.86 % (3498938)Termination phase: Saturation
% 3.77/0.86 % (3498938)Time elapsed: 0.369 s
% 3.77/0.86 % (3498938)Peak memory usage: 22 MB
% 3.77/0.86 % (3498938)Instructions burned: 685 (million)
% 3.77/0.86 % (3498952)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3844526542:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 3.77/0.86 % TRYING [7]
% 3.77/0.86 % (3498944)Instruction limit reached!
% 3.77/0.86 % (3498944)------------------------------
% 3.77/0.86 % (3498944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.86 % (3498944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.86 % (3498944)CaDiCaL version: 2.1.3
% 3.77/0.86 % (3498944)Termination reason: Instruction limit
% 3.77/0.86 % (3498944)Termination phase: Saturation
% 3.77/0.86 % (3498944)Time elapsed: 0.313 s
% 3.77/0.86 % (3498944)Peak memory usage: 15 MB
% 3.77/0.86 % (3498944)Instructions burned: 477 (million)
% 3.77/0.86 % (3498954)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2505059941:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 3.77/0.86 % (3498923) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3498917-3498923"...
% 3.77/0.86 % (3498923)...printing done.
% 3.77/0.86 % (3498946)Instruction limit reached!
% 3.77/0.86 % (3498946)------------------------------
% 3.77/0.86 % (3498946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.86 % (3498946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.86 % (3498946)CaDiCaL version: 2.1.3
% 3.77/0.86 % (3498946)Termination reason: Instruction limit
% 3.77/0.86 % (3498946)Termination phase: Finite model building SAT solving
% 3.77/0.86 % (3498946)Time elapsed: 0.343 s
% 3.77/0.86 % (3498946)Peak memory usage: 23 MB
% 3.77/0.86 % (3498946)Instructions burned: 865 (million)
% 3.77/0.86 % (3498923)Refutation found. Thanks to Tanya!
% 3.77/0.86 % SZS status Theorem for theBenchmark
% 3.77/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 3.77/0.87 % (3498923)------------------------------
% 3.77/0.87 % (3498923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.87 % (3498923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.87 % (3498923)CaDiCaL version: 2.1.3
% 3.77/0.87 % (3498923)Termination reason: Refutation
% 3.77/0.87 % (3498923)Time elapsed: 0.585 s
% 3.77/0.87 % (3498923)Peak memory usage: 34 MB
% 3.77/0.87 % (3498923)Instructions burned: 2082 (million)
% 3.77/0.87 % (3498917)Success in time 0.628 s
% 3.77/0.87 % Vampire exiting
%------------------------------------------------------------------------------