%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC286+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 : n002.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 01:05:24 PM UTC 2026
% Result : Theorem 0.07s 0.27s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 13 unt; 4 def)
% Number of atoms : 118 ( 26 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 132 ( 54 ~; 48 |; 19 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 16 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| strictorderedP(X0)
| ( ! [X4] :
( ~ ssItem(X4)
| cons(X4,nil) != X2
| ~ memberP(X3,X4)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X4,X5) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ),
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
| strictorderedP(X0)
| ( ! [X4] :
( ~ ssItem(X4)
| cons(X4,nil) != X2
| ~ memberP(X3,X4)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X4,X5) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f182,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ~ strictorderedP(X0)
& ( ? [X4] :
( ssItem(X4)
& cons(X4,nil) = X2
& memberP(X3,X4)
& ! [X5] :
( ~ ssItem(X5)
| X4 = X5
| ~ memberP(X3,X5)
| ~ leq(X4,X5) ) )
| ( nil = X3
& nil = X2 ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f373,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f374,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f416,plain,
( nil = sK49
| sK49 = cons(sK51,nil) ),
inference(cnf_transformation,[],[f221]) ).
fof(f417,plain,
( nil = sK49
| ssItem(sK51) ),
inference(cnf_transformation,[],[f221]) ).
fof(f418,plain,
~ strictorderedP(sK47),
inference(cnf_transformation,[],[f221]) ).
fof(f419,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f221]) ).
fof(f427,plain,
~ strictorderedP(sK49),
inference(definition_unfolding,[],[f418,f419]) ).
fof(f642,definition,
( spl52_2
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl52_2])],[avatar_definition]) ).
fof(f644,plain,
( nil = sK49
| ~ spl52_2 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f657,definition,
( spl52_5
<=> sK49 = cons(sK51,nil) ),
introduced(definition,[new_symbols(definition,[spl52_5])],[avatar_definition]) ).
fof(f659,plain,
( sK49 = cons(sK51,nil)
| ~ spl52_5 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f662,definition,
( spl52_6
<=> ssItem(sK51) ),
introduced(definition,[new_symbols(definition,[spl52_6])],[avatar_definition]) ).
fof(f664,plain,
( ssItem(sK51)
| ~ spl52_6 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f667,plain,
( spl52_5
| spl52_2 ),
inference(avatar_split_clause,[],[f416,f642,f657]) ).
fof(f668,plain,
( spl52_6
| spl52_2 ),
inference(avatar_split_clause,[],[f417,f642,f662]) ).
fof(f679,definition,
( spl52_9
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl52_9])],[avatar_definition]) ).
fof(f680,plain,
( ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl52_9 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f682,plain,
spl52_9,
inference(avatar_split_clause,[],[f373,f679]) ).
fof(f705,plain,
( ~ strictorderedP(nil)
| ~ spl52_2 ),
inference(superposition,[],[f427,f644]) ).
fof(f709,plain,
( $false
| ~ spl52_2 ),
inference(forward_subsumption_resolution,[],[f374,f705]) ).
fof(f710,plain,
~ spl52_2,
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f730,plain,
( strictorderedP(sK49)
| ~ ssItem(sK51)
| ~ spl52_5
| ~ spl52_9 ),
inference(superposition,[],[f680,f659]) ).
fof(f731,plain,
( ~ ssItem(sK51)
| ~ spl52_5
| ~ spl52_9 ),
inference(forward_subsumption_resolution,[],[f730,f427]) ).
fof(f732,plain,
( $false
| ~ spl52_5
| ~ spl52_6
| ~ spl52_9 ),
inference(forward_subsumption_resolution,[],[f731,f664]) ).
fof(f733,plain,
( ~ spl52_5
| ~ spl52_6
| ~ spl52_9 ),
inference(avatar_contradiction_clause,[],[f732]) ).
cnf(s7,plain,
( spl52_2
| spl52_5 ),
inference(sat_conversion,[],[f667]) ).
cnf(s8,plain,
( spl52_2
| spl52_6 ),
inference(sat_conversion,[],[f668]) ).
cnf(s11,plain,
spl52_9,
inference(sat_conversion,[],[f682]) ).
cnf(s20,plain,
~ spl52_2,
inference(sat_conversion,[],[f710]) ).
cnf(s22,plain,
( ~ spl52_5
| ~ spl52_6
| ~ spl52_9 ),
inference(sat_conversion,[],[f733]) ).
cnf(s27,plain,
spl52_6,
inference(rat,[],[s8,s20]) ).
cnf(s28,plain,
~ spl52_5,
inference(rat,[],[s22,s11,s27]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s7,s28,s20]) ).
fof(f734,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC286+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n002.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 08:56:22 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.07/0.27 % (220295)Will run a generic schedule for satisfiability detection.
% 0.07/0.27 % (220301)% WARNING: option uhcvi not known.
% 0.07/0.27 % (220301)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2668327160:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.27 % (220301) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-220295-220301"...
% 0.07/0.27 % (220301)...printing done.
% 0.07/0.27 % (220300)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2755740112_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.27 % (220302)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4290091237:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.27 % (220304)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1482720684:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.27 % (220303)dis+10_1_sil=32000:sp=arity:random_seed=146210885:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.27 % (220305)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=547245193:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.27 % (220306)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3557037972:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.27 % (220301)Refutation found. Thanks to Tanya!
% 0.07/0.27 % SZS status Theorem for theBenchmark
% 0.07/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.27 % (220301)------------------------------
% 0.07/0.27 % (220301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.27 % (220301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.27 % (220301)CaDiCaL version: 2.1.3
% 0.07/0.27 % (220301)Termination reason: Refutation
% 0.07/0.27 % (220301)Time elapsed: 0.005 s
% 0.07/0.27 % (220301)Peak memory usage: 12 MB
% 0.07/0.27 % (220301)Instructions burned: 12 (million)
% 0.07/0.27 % (220295)Success in time 0.042 s
% 0.07/0.27 % Vampire exiting
%------------------------------------------------------------------------------