%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC185-1 : 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 01:05:01 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 15 unt; 2 def)
% Number of atoms : 77 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 99 ( 56 ~; 41 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ memberP(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
! [X2,X0,X1] :
( sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ memberP(X1,X0) ),
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ memberP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,plain,
! [X2,X0,X1] :
( sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ memberP(X2,X0) ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f211,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f212,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( memberP(sk6,sk5)
| memberP(sk7,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f218,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(definition_unfolding,[],[f214,f205]) ).
fof(f250,definition,
( spl0_1
<=> memberP(sk7,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f252,plain,
( memberP(sk7,sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f254,definition,
( spl0_2
<=> memberP(sk6,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f257,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f215,f254,f250]) ).
fof(f300,plain,
( sk3 != sk3
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk6,sk5) ),
inference(superposition,[],[f207,f218]) ).
fof(f301,plain,
( ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk6,sk5) ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f302,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk6,sk5) ),
inference(forward_subsumption_resolution,[],[f301,f211]) ).
fof(f303,plain,
( ~ ssItem(sk5)
| ~ memberP(sk6,sk5) ),
inference(forward_subsumption_resolution,[],[f302,f212]) ).
fof(f304,plain,
~ memberP(sk6,sk5),
inference(forward_subsumption_resolution,[],[f303,f210]) ).
fof(f307,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f304,f254]) ).
fof(f308,plain,
( sk3 != sk3
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk7,sk5) ),
inference(superposition,[],[f209,f218]) ).
fof(f309,plain,
( ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk7,sk5) ),
inference(trivial_inequality_removal,[],[f308]) ).
fof(f310,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk7,sk5) ),
inference(forward_subsumption_resolution,[],[f309,f211]) ).
fof(f311,plain,
( ~ ssItem(sk5)
| ~ memberP(sk7,sk5) ),
inference(forward_subsumption_resolution,[],[f310,f212]) ).
fof(f312,plain,
~ memberP(sk7,sk5),
inference(forward_subsumption_resolution,[],[f311,f210]) ).
fof(f313,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f312,f252]) ).
fof(f314,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f313]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f257]) ).
cnf(s13,plain,
~ spl0_2,
inference(sat_conversion,[],[f307]) ).
cnf(s14,plain,
~ spl0_1,
inference(sat_conversion,[],[f314]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s1,s13,s14]) ).
fof(f315,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC185-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 08:19:10 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.18/0.46 % (2242075)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (2242083)dis+10_1_sil=32000:sp=arity:random_seed=2517623855:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.46 % (2242083) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2242075-2242083"...
% 0.18/0.46 % (2242081)% WARNING: option uhcvi not known.
% 0.18/0.46 % (2242083)...printing done.
% 0.18/0.46 % (2242083)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (2242083)------------------------------
% 0.18/0.46 % (2242083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (2242083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (2242083)CaDiCaL version: 2.1.3
% 0.18/0.46 % (2242083)Termination reason: Refutation
% 0.18/0.46 % (2242083)Time elapsed: 0.002 s
% 0.18/0.46 % (2242083)Peak memory usage: 12 MB
% 0.18/0.46 % (2242083)Instructions burned: 5 (million)
% 0.18/0.46 % (2242075)Success in time 0.031 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------