%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC127-1 : 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 : n014.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 01:04:46 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 42 ( 18 unt; 5 def)
% Number of atoms : 80 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 31 ~; 33 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause11) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f213,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f209,f205,f204,f205]) ).
fof(f245,definition,
( spl0_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f249,definition,
( spl0_2
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f251,plain,
( ~ neq(sk3,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f213,f249,f245]) ).
fof(f254,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f258,definition,
( spl0_4
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f260,plain,
( singletonP(sk3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f208,f258,f254]) ).
fof(f262,plain,
spl0_1,
inference(avatar_split_clause,[],[f207,f245]) ).
fof(f263,plain,
spl0_3,
inference(avatar_split_clause,[],[f212,f254]) ).
fof(f269,definition,
( spl0_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f270,plain,
( ssList(nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f305,plain,
spl0_6,
inference(avatar_split_clause,[],[f8,f269]) ).
fof(f476,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl0_2 ),
inference(resolution,[],[f102,f251]) ).
fof(f481,plain,
( ~ ssList(nil)
| nil = sk3
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f476,f202]) ).
fof(f482,plain,
( nil = sk3
| spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f481,f270]) ).
fof(f486,plain,
( singletonP(nil)
| spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f260,f482]) ).
fof(f490,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f486,f11]) ).
fof(f491,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f490]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f252]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f261]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f262]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f263]) ).
cnf(s14,plain,
spl0_6,
inference(sat_conversion,[],[f305]) ).
cnf(s15,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f491]) ).
cnf(s20,plain,
spl0_4,
inference(rat,[],[s2,s4]) ).
cnf(s21,plain,
spl0_2,
inference(rat,[],[s15,s14,s20]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s1,s21,s3]) ).
fof(f492,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC127-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % 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 08:02:31 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (1620495)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (1620503)dis+10_1_sil=32000:sp=arity:random_seed=954911926:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (1620501)% WARNING: option uhcvi not known.
% 0.12/0.45 % (1620503) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1620495-1620503"...
% 0.12/0.45 % (1620503)...printing done.
% 0.12/0.45 % (1620503)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (1620503)------------------------------
% 0.12/0.46 % (1620503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (1620503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (1620503)CaDiCaL version: 2.1.3
% 0.12/0.46 % (1620503)Termination reason: Refutation
% 0.12/0.46 % (1620503)Time elapsed: 0.005 s
% 0.12/0.46 % (1620503)Peak memory usage: 12 MB
% 0.12/0.46 % (1620503)Instructions burned: 13 (million)
% 0.12/0.46 % (1620495)Success in time 0.033 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------