%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC051-1 : 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 : n004.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 01:04:27 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 11 unt; 3 def)
% Number of atoms : 63 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 37 ~; 28 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause59) ).
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ rearsegP(sk2,X0)
| ~ rearsegP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f214,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ rearsegP(sk3,X0) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f246,definition,
( spl0_1
<=> rearsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f248,plain,
( rearsegP(sk4,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f250,definition,
( spl0_2
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f253,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f210,f250,f246]) ).
fof(f255,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f257,plain,
( neq(sk3,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f209,f250,f255]) ).
fof(f268,plain,
spl0_2,
inference(avatar_split_clause,[],[f213,f250]) ).
fof(f312,plain,
( ~ ssList(sk3)
| ~ rearsegP(sk4,sk3)
| ~ rearsegP(sk3,sk3)
| ~ spl0_3 ),
inference(resolution,[],[f214,f257]) ).
fof(f313,plain,
( ~ rearsegP(sk4,sk3)
| ~ rearsegP(sk3,sk3)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f312,f202]) ).
fof(f315,plain,
( ~ rearsegP(sk3,sk3)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f313,f248]) ).
fof(f326,plain,
( ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f59,f315]) ).
fof(f327,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f326,f202]) ).
fof(f328,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f327]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f253]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f258]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f268]) ).
cnf(s16,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f328]) ).
cnf(s21,plain,
spl0_3,
inference(rat,[],[s2,s4]) ).
cnf(s22,plain,
~ spl0_1,
inference(rat,[],[s16,s21]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s4,s22]) ).
fof(f329,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC051-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:37:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.45 % (184743)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (184751)dis+10_1_sil=32000:sp=arity:random_seed=2892332260:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (184751) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-184743-184751"...
% 0.10/0.45 % (184751)...printing done.
% 0.10/0.45 % (184749)% WARNING: option uhcvi not known.
% 0.10/0.45 % (184751)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (184751)------------------------------
% 0.10/0.45 % (184751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (184751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (184751)CaDiCaL version: 2.1.3
% 0.10/0.45 % (184751)Termination reason: Refutation
% 0.10/0.45 % (184751)Time elapsed: 0.002 s
% 0.10/0.45 % (184751)Peak memory usage: 12 MB
% 0.10/0.45 % (184751)Instructions burned: 5 (million)
% 0.10/0.45 % (184743)Success in time 0.037 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------