%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC027-1 : 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 : n017.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 01:04:21 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 48 ( 7 unt; 2 def)
% Number of atoms : 103 ( 29 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 95 ( 40 ~; 53 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
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,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f208]) ).
fof(f214,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f216,negated_conjecture,
( nil = sk2
| nil = sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f219,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f222,plain,
( nil = sk4
| nil = sk3 ),
inference(definition_unfolding,[],[f216,f204,f205]) ).
fof(f225,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f219,f205,f204]) ).
fof(f257,definition,
( spl0_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f258,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( nil != sk4
| spl0_1 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f261,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f262,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f263,plain,
( nil != sk3
| spl0_2 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f264,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f225,f261,f257]) ).
fof(f296,plain,
( ssItem(sk5)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f207,f263]) ).
fof(f318,plain,
( memberP(sk4,sk5)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f214,f263]) ).
fof(f319,plain,
( memberP(nil,sk5)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f318,f258]) ).
fof(f322,plain,
( ~ ssItem(sk5)
| ~ spl0_1
| spl0_2 ),
inference(resolution,[],[f319,f71]) ).
fof(f323,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f322,f296]) ).
fof(f324,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f325,plain,
( nil = sk3
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f222,f259]) ).
fof(f326,plain,
( $false
| spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f325,f263]) ).
fof(f327,plain,
( spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f328,plain,
( ssItem(sk5)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f206,f259]) ).
fof(f330,plain,
( ssList(nil)
| ~ spl0_2 ),
inference(superposition,[],[f202,f262]) ).
fof(f331,plain,
( sk3 = cons(sk5,nil)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f209,f259]) ).
fof(f332,plain,
( nil = cons(sk5,nil)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f331,f262]) ).
fof(f337,plain,
( nil != nil
| ~ ssItem(sk5)
| ~ ssList(nil)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f99,f332]) ).
fof(f352,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f337]) ).
fof(f356,plain,
( ~ ssList(nil)
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f352,f328]) ).
fof(f361,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f356,f330]) ).
fof(f362,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f361]) ).
cnf(s201,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f264]) ).
cnf(s275,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f324]) ).
cnf(s281,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f327]) ).
cnf(s306,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f362]) ).
cnf(s309,plain,
spl0_1,
inference(rat,[],[s281,s306]) ).
cnf(s310,plain,
spl0_2,
inference(rat,[],[s275,s309]) ).
cnf(s311,plain,
$false,
inference(rat,[],[s201,s310,s309]) ).
fof(f363,plain,
$false,
inference(avatar_sat_refutation,[],[s311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC027-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:25:51 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.17/0.46 % (3373841)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (3373848)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2898013594:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (3373847)% WARNING: option uhcvi not known.
% 0.17/0.46 % (3373848) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3373841-3373848"...
% 0.17/0.46 % (3373848)...printing done.
% 0.17/0.46 % (3373848)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (3373848)------------------------------
% 0.17/0.46 % (3373848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (3373848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (3373848)CaDiCaL version: 2.1.3
% 0.17/0.46 % (3373848)Termination reason: Refutation
% 0.17/0.46 % (3373848)Time elapsed: 0.005 s
% 0.17/0.46 % (3373848)Peak memory usage: 12 MB
% 0.17/0.46 % (3373848)Instructions burned: 10 (million)
% 0.17/0.46 % (3373841)Success in time 0.038 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------