%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC258-1 : 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 : 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 01:05:17 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 14 unt; 4 def)
% Number of atoms : 71 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 35 ~; 29 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause4) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause67) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ totalorderedP(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(f213,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f213]) ).
fof(f219,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
fof(f246,plain,
~ totalorderedP(nil),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f286,plain,
! [X0] :
( ~ ssItem(X0)
| ~ totalorderedP(cons(X0,nil)) ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f403,plain,
totalorderedP(sk3),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f415,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f417,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f428,definition,
( spl0_4
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f430,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f431,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f214,f428,f415]) ).
fof(f440,definition,
( spl0_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f442,plain,
( ssItem(sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f443,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f208,f440,f415]) ).
fof(f455,definition,
( spl0_9
<=> ! [X1] :
( ~ ssItem(X1)
| ~ totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f456,plain,
( ! [X1] :
( ~ ssItem(X1)
| ~ totalorderedP(cons(X1,nil)) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f484,plain,
spl0_9,
inference(avatar_split_clause,[],[f286,f455]) ).
fof(f621,plain,
( totalorderedP(nil)
| ~ spl0_1 ),
inference(superposition,[],[f403,f417]) ).
fof(f628,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f621,f246]) ).
fof(f629,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f801,plain,
( ~ totalorderedP(cons(sk5,nil))
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f456,f442]) ).
fof(f802,plain,
( ~ totalorderedP(sk3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f801,f430]) ).
fof(f803,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f802,f403]) ).
fof(f804,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f803]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f431]) ).
cnf(s7,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f443]) ).
cnf(s16,plain,
spl0_9,
inference(sat_conversion,[],[f484]) ).
cnf(s21,plain,
~ spl0_1,
inference(sat_conversion,[],[f629]) ).
cnf(s26,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f804]) ).
cnf(s31,plain,
spl0_6,
inference(rat,[],[s7,s21]) ).
cnf(s32,plain,
~ spl0_4,
inference(rat,[],[s26,s16,s31]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s3,s32,s21]) ).
fof(f805,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC258-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 08:43:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.26 % (2249341)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (2249352)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2614205409:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.26 % (2249347)% WARNING: option uhcvi not known.
% 0.19/0.26 % (2249352) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2249341-2249352"...
% 0.19/0.26 % (2249349)dis+10_1_sil=32000:sp=arity:random_seed=1391778009:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.26 % (2249348)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3154212145:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.26 % (2249346)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3641553997_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.26 % (2249347)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3924570617:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.26 % (2249350)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2407781193:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.26 % (2249352)...printing done.
% 0.19/0.26 % (2249351)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1962681826:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.26 % (2249352)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (2249352)------------------------------
% 0.19/0.26 % (2249352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (2249352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (2249352)CaDiCaL version: 2.1.3
% 0.19/0.26 % (2249352)Termination reason: Refutation
% 0.19/0.26 % (2249352)Time elapsed: 0.007 s
% 0.19/0.26 % (2249352)Peak memory usage: 13 MB
% 0.19/0.26 % (2249352)Instructions burned: 19 (million)
% 0.19/0.26 % (2249341)Success in time 0.036 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------