%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC213-1 : 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 01:05:07 PM UTC 2026
% Result : Unsatisfiable 0.29s 0.26s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 17 unt; 3 def)
% Number of atoms : 69 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 26 ~; 27 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 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(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] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
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(f216,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f218,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f220,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f221,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f216,f205]) ).
fof(f248,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f314,plain,
! [X0,X1] :
( neq(X1,X0)
| ssList(X1)
| ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f381,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f218]) ).
fof(f396,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f397,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f400,definition,
( spl0_2
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f402,plain,
( nil = sk4
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f403,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f217,f400,f396]) ).
fof(f409,definition,
( spl0_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f410,plain,
( ~ ssList(nil)
| spl0_4 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f445,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f248,f409]) ).
fof(f633,plain,
( ssList(sk3)
| ssList(nil)
| nil = sk3 ),
inference(resolution,[],[f314,f221]) ).
fof(f638,plain,
( ssList(nil)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f633,f381]) ).
fof(f639,plain,
( nil = sk3
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f638,f410]) ).
fof(f642,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f639,f409,f396]) ).
fof(f645,plain,
( ~ neq(nil,nil)
| ~ spl0_1 ),
inference(superposition,[],[f221,f397]) ).
fof(f652,plain,
( neq(nil,nil)
| ~ spl0_2 ),
inference(superposition,[],[f220,f402]) ).
fof(f781,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f652,f645]) ).
fof(f782,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f781]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f403]) ).
cnf(s11,plain,
~ spl0_4,
inference(sat_conversion,[],[f445]) ).
cnf(s15,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f642]) ).
cnf(s20,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f782]) ).
cnf(s21,plain,
spl0_1,
inference(rat,[],[s15,s11]) ).
cnf(s22,plain,
~ spl0_2,
inference(rat,[],[s20,s21]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s1,s22,s21]) ).
fof(f783,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC213-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 % Computer : n016.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 08:36:48 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21 Running first-order model finding
% 0.06/0.21 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
% 0.29/0.26 % (3477484)Will run a generic schedule for satisfiability detection.
% 0.29/0.26 % (3477490)% WARNING: option uhcvi not known.
% 0.29/0.26 % (3477490)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3813441517:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.29/0.26 % (3477492)dis+10_1_sil=32000:sp=arity:random_seed=3462750883:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.29/0.26 % (3477489)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=756064697_2999 on theBenchmark for (2999ds/0Mi)
% 0.29/0.26 % (3477491)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3008053031:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.29/0.26 % (3477493)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3850733583:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.29/0.26 % (3477490) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3477484-3477490"...
% 0.29/0.26 % (3477490)...printing done.
% 0.29/0.26 % (3477490)Refutation found. Thanks to Tanya!
% 0.29/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.29/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/0.26 % (3477490)------------------------------
% 0.29/0.26 % (3477490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.26 % (3477490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.26 % (3477490)CaDiCaL version: 2.1.3
% 0.29/0.26 % (3477490)Termination reason: Refutation
% 0.29/0.26 % (3477490)Time elapsed: 0.008 s
% 0.29/0.26 % (3477490)Peak memory usage: 13 MB
% 0.29/0.26 % (3477490)Instructions burned: 20 (million)
% 0.29/0.26 % (3477484)Success in time 0.039 s
% 0.29/0.26 % Vampire exiting
%------------------------------------------------------------------------------