%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC210-1 : 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 : 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 01:05:07 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 14 unt; 4 def)
% Number of atoms : 78 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 31 ~; 35 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause11) ).
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)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ~ neq(sk1,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f218,plain,
( ~ neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f205]) ).
fof(f243,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f251,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f255,definition,
( spl0_2
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f257,plain,
( ~ neq(sk3,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f218,f255,f251]) ).
fof(f260,definition,
( spl0_3
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f262,plain,
( singletonP(sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f210,f260,f251]) ).
fof(f266,plain,
spl0_1,
inference(avatar_split_clause,[],[f243,f251]) ).
fof(f272,definition,
( spl0_5
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f273,plain,
( ssList(nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f308,plain,
spl0_5,
inference(avatar_split_clause,[],[f8,f272]) ).
fof(f478,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl0_2 ),
inference(resolution,[],[f102,f257]) ).
fof(f483,plain,
( ~ ssList(nil)
| nil = sk3
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f478,f202]) ).
fof(f484,plain,
( nil = sk3
| spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f483,f273]) ).
fof(f487,plain,
( singletonP(nil)
| spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f262,f484]) ).
fof(f491,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f487,f11]) ).
fof(f492,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f491]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f258]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f263]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f266]) ).
cnf(s15,plain,
spl0_5,
inference(sat_conversion,[],[f308]) ).
cnf(s16,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f492]) ).
cnf(s21,plain,
spl0_3,
inference(rat,[],[s2,s5]) ).
cnf(s22,plain,
spl0_2,
inference(rat,[],[s16,s15,s21]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s22,s5]) ).
fof(f493,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC210-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % 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 08:23:21 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.16/0.47 % (3396757)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3396764)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3587051079:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (3396763)% WARNING: option uhcvi not known.
% 0.16/0.47 % (3396762)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3699852894_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (3396763)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=336814128:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (3396766)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=389348822:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (3396765)dis+10_1_sil=32000:sp=arity:random_seed=2105879810:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (3396768)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=338625900:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (3396767)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=72056375:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (3396765) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3396757-3396765"...
% 0.16/0.47 % (3396763) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3396757-3396763"...
% 0.16/0.47 % (3396765)...printing done.
% 0.16/0.47 % (3396763)...printing done.
% 0.16/0.47 % (3396765)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (3396765)------------------------------
% 0.16/0.47 % (3396765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3396765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3396765)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3396765)Termination reason: Refutation
% 0.16/0.47 % (3396765)Time elapsed: 0.009 s
% 0.16/0.47 % (3396765)Peak memory usage: 12 MB
% 0.16/0.47 % (3396765)Instructions burned: 12 (million)
% 0.16/0.47 % (3396757)Success in time 0.047 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------