%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC032-1 : 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 : n007.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 01:04:22 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 13 unt; 2 def)
% Number of atoms : 78 ( 30 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 31 ~; 37 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
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,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f212,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
( nil = sk2
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f216,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f217,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f219,plain,
( nil = sk4
| nil = sk3 ),
inference(definition_unfolding,[],[f213,f204,f205]) ).
fof(f222,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f216,f205,f204]) ).
fof(f340,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ssList(X1)
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f407,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f217]) ).
fof(f411,plain,
~ ssList(sk5),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f421,definition,
( spl0_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f422,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f425,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f427,plain,
( nil != sk3
| spl0_2 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f428,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f222,f425,f421]) ).
fof(f429,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f219,f421,f425]) ).
fof(f430,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f212,f421,f425]) ).
fof(f475,plain,
( nil = app(sk3,sk5)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f208,f422]) ).
fof(f754,plain,
( nil != nil
| ssList(sk5)
| ssList(sk3)
| nil = sk3
| ~ spl0_1 ),
inference(superposition,[],[f340,f475]) ).
fof(f757,plain,
( ssList(sk5)
| ssList(sk3)
| nil = sk3
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f754]) ).
fof(f758,plain,
( ssList(sk3)
| nil = sk3
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f757,f411]) ).
fof(f759,plain,
( nil = sk3
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f758,f407]) ).
fof(f760,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f759,f427]) ).
fof(f761,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f760]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f428]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f429]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f430]) ).
cnf(s17,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f761]) ).
cnf(s22,plain,
spl0_1,
inference(rat,[],[s2,s3]) ).
cnf(s23,plain,
spl0_2,
inference(rat,[],[s17,s22]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s1,s23,s22]) ).
fof(f762,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC032-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 07:29:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.18/0.47 % (2221411)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (2221416)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=677865255_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (2221417)% WARNING: option uhcvi not known.
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % (2221418)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3770627268:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (2221417)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3275304635:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % TRYING [2]
% 0.18/0.47 % (2221419)dis+10_1_sil=32000:sp=arity:random_seed=4259782249:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (2221420)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=420527945:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (2221422)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1267274256:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (2221421)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3748609046:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % TRYING [3]
% 0.18/0.47 % (2221417) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2221411-2221417"...
% 0.18/0.47 % (2221419) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2221411-2221419"...
% 0.18/0.47 % (2221417)...printing done.
% 0.18/0.47 % (2221419)...printing done.
% 0.18/0.47 % TRYING [4]
% 0.18/0.47 % (2221417)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (2221417)------------------------------
% 0.18/0.47 % (2221417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (2221417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (2221417)CaDiCaL version: 2.1.3
% 0.18/0.47 % (2221417)Termination reason: Refutation
% 0.18/0.47 % (2221417)Time elapsed: 0.013 s
% 0.18/0.47 % (2221417)Peak memory usage: 12 MB
% 0.18/0.47 % (2221417)Instructions burned: 18 (million)
% 0.18/0.47 % (2221411)Success in time 0.052 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------