%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC020-1 : 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 : n012.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 01:04:19 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 9 unt; 4 def)
% Number of atoms : 83 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 39 ~; 38 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause61) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk4
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil = sk3
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil = sk3
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0) ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f215,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f247,definition,
( spl0_1
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f249,plain,
( frontsegP(sk4,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f254,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f211,f251,f247]) ).
fof(f256,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f258,plain,
( neq(sk3,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f259,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f210,f251,f256]) ).
fof(f261,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f264,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f209,f261,f247]) ).
fof(f265,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f208,f261,f256]) ).
fof(f266,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f215,f261,f251]) ).
fof(f309,plain,
( ~ ssList(sk3)
| ~ frontsegP(sk4,sk3)
| ~ frontsegP(sk3,sk3)
| ~ spl0_3 ),
inference(resolution,[],[f214,f258]) ).
fof(f310,plain,
( ~ frontsegP(sk4,sk3)
| ~ frontsegP(sk3,sk3)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f309,f202]) ).
fof(f311,plain,
( ~ frontsegP(sk3,sk3)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f310,f249]) ).
fof(f313,plain,
( ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f61,f311]) ).
fof(f314,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f313,f202]) ).
fof(f315,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f314]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f254]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f259]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f264]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f265]) ).
cnf(s5,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f266]) ).
cnf(s16,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f315]) ).
cnf(s21,plain,
spl0_1,
inference(rat,[],[s5,s1,s3]) ).
cnf(s22,plain,
~ spl0_3,
inference(rat,[],[s16,s21]) ).
cnf(s23,plain,
spl0_4,
inference(rat,[],[s4,s22]) ).
cnf(s24,plain,
spl0_2,
inference(rat,[],[s2,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s5,s23,s24]) ).
fof(f316,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC020-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.31 % Computer : n012.cluster.edu
% 0.06/0.31 % Model : x86_64 x86_64
% 0.06/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.31 % Memory : 8046.5625MB
% 0.06/0.31 % OS : Linux 6.8.0-71-generic
% 0.06/0.31 % CPULimit : 300
% 0.06/0.31 % WCLimit : 300
% 0.06/0.31 % DateTime : Mon Sep 28 07:27:19 UTC 2026
% 0.06/0.31 % CPUTime :
% 0.06/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.33 Running first-order model finding
% 0.08/0.33 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
% 0.08/0.36 % (3214282)Will run a generic schedule for satisfiability detection.
% 0.08/0.36 % (3214288)% WARNING: option uhcvi not known.
% 0.08/0.36 % (3214293)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2306525719:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.36 % (3214292)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1112638308:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.36 % (3214287)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=980930514_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.36 % (3214290)dis+10_1_sil=32000:sp=arity:random_seed=786731371:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.36 % (3214289)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1413241680:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.36 % (3214288)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2135630765:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.36 % (3214291)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3895064025:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.36 % (3214290) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3214282-3214290"...
% 0.08/0.36 % (3214288) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3214282-3214288"...
% 0.08/0.36 % (3214290)...printing done.
% 0.08/0.36 % (3214288)...printing done.
% 0.08/0.36 % (3214291) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3214282-3214291"...
% 0.08/0.36 % (3214293) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3214282-3214293"...
% 0.08/0.36 % (3214290)Refutation found. Thanks to Tanya!
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.36 % (3214290)------------------------------
% 0.08/0.36 % (3214290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.36 % (3214290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.36 % (3214290)CaDiCaL version: 2.1.3
% 0.08/0.36 % (3214290)Termination reason: Refutation
% 0.08/0.36 % (3214290)Time elapsed: 0.002 s
% 0.08/0.36 % (3214290)Peak memory usage: 12 MB
% 0.08/0.36 % (3214290)Instructions burned: 5 (million)
% 0.08/0.36 % (3214282)Success in time 0.027 s
% 0.08/0.36 % Vampire exiting
%------------------------------------------------------------------------------