%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC206-1 : 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 : n008.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 01:05:06 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 56 ( 18 unt; 6 def)
% Number of atoms : 116 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 113 ( 53 ~; 54 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
( segmentP(sk3,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f216,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f277,plain,
! [X0] :
( segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f342,plain,
( ~ segmentP(sk3,sk5)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f350,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f354,definition,
( spl0_2
<=> segmentP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f356,plain,
( ~ segmentP(sk3,sk5)
| spl0_2 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f357,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f342,f354,f350]) ).
fof(f364,definition,
( spl0_4
<=> neq(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f366,plain,
( neq(sk5,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f367,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f210,f364,f350]) ).
fof(f369,definition,
( spl0_5
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f371,plain,
( ssList(sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f372,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f209,f369,f350]) ).
fof(f378,definition,
( spl0_7
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f380,plain,
( nil = sk3
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f382,plain,
spl0_1,
inference(avatar_split_clause,[],[f215,f350]) ).
fof(f388,definition,
( spl0_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f389,plain,
( ssList(nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f424,plain,
spl0_9,
inference(avatar_split_clause,[],[f8,f388]) ).
fof(f539,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3 ),
inference(resolution,[],[f102,f216]) ).
fof(f542,plain,
( ~ ssList(nil)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f539,f202]) ).
fof(f543,plain,
( nil = sk3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f542,f389]) ).
fof(f544,plain,
( spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f543,f388,f378]) ).
fof(f547,plain,
( ~ segmentP(nil,sk5)
| spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f356,f380]) ).
fof(f548,plain,
( ~ neq(nil,nil)
| ~ spl0_7 ),
inference(superposition,[],[f216,f380]) ).
fof(f550,plain,
( ~ ssList(sk5)
| nil = sk5
| spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f547,f277]) ).
fof(f551,plain,
( nil = sk5
| spl0_2
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f550,f371]) ).
fof(f554,plain,
( neq(nil,nil)
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f366,f551]) ).
fof(f564,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f554,f548]) ).
fof(f565,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f564]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f357]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f367]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f372]) ).
cnf(s6,plain,
spl0_1,
inference(sat_conversion,[],[f382]) ).
cnf(s16,plain,
spl0_9,
inference(sat_conversion,[],[f424]) ).
cnf(s17,plain,
( spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f544]) ).
cnf(s19,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f565]) ).
cnf(s20,plain,
spl0_7,
inference(rat,[],[s17,s16]) ).
cnf(s25,plain,
spl0_5,
inference(rat,[],[s4,s6]) ).
cnf(s26,plain,
spl0_4,
inference(rat,[],[s3,s6]) ).
cnf(s27,plain,
spl0_2,
inference(rat,[],[s19,s20,s25,s26]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s1,s27,s6]) ).
fof(f566,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC206-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 08:28:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.46 % (2097731)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2097741)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3263233112:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (2097737)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2097736)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2277636261_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (2097738)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=132631121:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2097739)dis+10_1_sil=32000:sp=arity:random_seed=2359261570:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (2097740)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1569884963:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (2097742)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1667318591:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (2097737)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1721995125:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (2097737) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2097731-2097737"...
% 0.10/0.46 % (2097739) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2097731-2097739"...
% 0.10/0.46 % (2097737)...printing done.
% 0.10/0.46 % (2097739)...printing done.
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % (2097737)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (2097737)------------------------------
% 0.15/0.46 % (2097737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (2097737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (2097737)CaDiCaL version: 2.1.3
% 0.15/0.46 % (2097737)Termination reason: Refutation
% 0.15/0.46 % (2097737)Time elapsed: 0.009 s
% 0.15/0.46 % (2097737)Peak memory usage: 12 MB
% 0.15/0.46 % (2097737)Instructions burned: 12 (million)
% 0.15/0.46 % (2097731)Success in time 0.049 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------