%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC179-1 : 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 : n018.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 01:04:59 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 10 unt; 3 def)
% Number of atoms : 54 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 21 ~; 20 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause2) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause65) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ duplicatefreeP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f219,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f219]) ).
fof(f227,plain,
~ duplicatefreeP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
fof(f229,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f231,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f246,definition,
( spl0_5
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f248,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f249,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f220,f246,f229]) ).
fof(f271,definition,
( spl0_9
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f273,plain,
( ssItem(sk5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f208,f271,f229]) ).
fof(f677,plain,
( duplicatefreeP(cons(sk5,nil))
| ~ spl0_9 ),
inference(resolution,[],[f65,f273]) ).
fof(f678,plain,
( duplicatefreeP(sk3)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f677,f248]) ).
fof(f679,plain,
( $false
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f678,f227]) ).
fof(f680,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f684,plain,
( ~ duplicatefreeP(nil)
| ~ spl0_1 ),
inference(superposition,[],[f227,f231]) ).
fof(f690,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f684,f2]) ).
fof(f691,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f690]) ).
cnf(s4,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f249]) ).
cnf(s13,plain,
( spl0_1
| spl0_9 ),
inference(sat_conversion,[],[f274]) ).
cnf(s22,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f680]) ).
cnf(s24,plain,
~ spl0_1,
inference(sat_conversion,[],[f691]) ).
cnf(s25,plain,
spl0_9,
inference(rat,[],[s13,s24]) ).
cnf(s26,plain,
~ spl0_5,
inference(rat,[],[s22,s25]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s4,s26,s24]) ).
fof(f692,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC179-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.44 % Computer : n018.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 28 08:21:25 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 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
% 0.21/0.55 % (3224845)Will run a generic schedule for satisfiability detection.
% 0.21/0.55 % (3224855)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1023091286:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.55 % (3224852)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2765717846:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.55 % (3224851)% WARNING: option uhcvi not known.
% 0.21/0.55 % (3224855) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3224845-3224855"...
% 0.21/0.55 % (3224855)...printing done.
% 0.21/0.55 % (3224850)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1071308166_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.55 % (3224851)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1566117262:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.55 % (3224852) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3224845-3224852"...
% 0.21/0.55 % (3224855)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (3224855)------------------------------
% 0.21/0.55 % (3224855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.55 % (3224855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.55 % (3224855)CaDiCaL version: 2.1.3
% 0.21/0.55 % (3224855)Termination reason: Refutation
% 0.21/0.55 % (3224855)Time elapsed: 0.010 s
% 0.21/0.55 % (3224855)Peak memory usage: 13 MB
% 0.21/0.55 % (3224855)Instructions burned: 17 (million)
% 0.21/0.55 % (3224845)Success in time 0.039 s
% 0.21/0.55 % Vampire exiting
%------------------------------------------------------------------------------