%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC097-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:02:26 PM UTC 2026
% Result : Unsatisfiable 2.69s 1.29s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 10 unt; 5 def)
% Number of atoms : 77 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 42 ~; 34 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f213,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| app(sk1,cons(X0,nil)) != sk2
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
! [X0] :
( ~ ssItem(X0)
| sk2 != app(sk1,cons(X0,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f216,negated_conjecture,
( app(sk3,cons(sk5,nil)) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
( sk4 = app(sk3,cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f216]) ).
fof(f220,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f225,plain,
! [X0] :
( ~ ssItem(X0)
| sk4 != app(sk3,cons(X0,nil))
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f214,f204,f205]) ).
fof(f247,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f250,plain,
! [X0] :
( ~ ssItem(X0)
| ~ sQ0_eqProxy(sk4,app(sk3,cons(X0,nil)))
| ~ neq(sk4,nil) ),
inference(equality_proxy_replacement,[],[f225,f247]) ).
fof(f251,plain,
( sQ0_eqProxy(sk4,app(sk3,cons(sk5,nil)))
| ~ neq(sk4,nil) ),
inference(equality_proxy_replacement,[],[f217,f247]) ).
fof(f312,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f341,definition,
( spl1_8
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f344,definition,
( spl1_9
<=> sQ0_eqProxy(sk4,app(sk3,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f345,plain,
( sQ0_eqProxy(sk4,app(sk3,cons(sk5,nil)))
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f346,plain,
( ~ spl1_8
| spl1_9 ),
inference(avatar_split_clause,[],[f251,f344,f341]) ).
fof(f348,definition,
( spl1_10
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f349,plain,
( ssItem(sk5)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( ~ spl1_8
| spl1_10 ),
inference(avatar_split_clause,[],[f215,f348,f341]) ).
fof(f352,definition,
( spl1_11
<=> ! [X0] :
( ~ ssItem(X0)
| ~ sQ0_eqProxy(sk4,app(sk3,cons(X0,nil))) ) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f353,plain,
( ! [X0] :
( ~ sQ0_eqProxy(sk4,app(sk3,cons(X0,nil)))
| ~ ssItem(X0) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f354,plain,
( ~ spl1_8
| spl1_11 ),
inference(avatar_split_clause,[],[f250,f352,f341]) ).
fof(f359,plain,
spl1_8,
inference(avatar_split_clause,[],[f312,f341]) ).
fof(f360,plain,
( ~ ssItem(sk5)
| ~ spl1_9
| ~ spl1_11 ),
inference(resolution,[],[f353,f345]) ).
fof(f361,plain,
( $false
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(resolution,[],[f360,f349]) ).
fof(f362,plain,
( ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f361]) ).
cnf(s7,plain,
( ~ spl1_8
| spl1_9 ),
inference(sat_conversion,[],[f346]) ).
cnf(s8,plain,
( ~ spl1_8
| spl1_10 ),
inference(sat_conversion,[],[f350]) ).
cnf(s9,plain,
( ~ spl1_8
| spl1_11 ),
inference(sat_conversion,[],[f354]) ).
cnf(s13,plain,
spl1_8,
inference(sat_conversion,[],[f359]) ).
cnf(s14,plain,
( ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(sat_conversion,[],[f362]) ).
cnf(s15,plain,
spl1_11,
inference(rat,[],[s9,s13]) ).
cnf(s16,plain,
spl1_10,
inference(rat,[],[s8,s13]) ).
cnf(s17,plain,
~ spl1_9,
inference(rat,[],[s14,s15,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s7,s17,s13]) ).
fof(f363,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC097-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:55:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.69/1.29 % (2458409)Input is clausal, will run a generic CNF schedule.
% 2.69/1.29 % (2458420)dis-21_1_sil=8000:lcm=predicate:random_seed=3492967345:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.69/1.29 % (2458420)First to succeed.
% 2.69/1.29 % (2458420)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2458409"
% 2.69/1.29 % (2458415)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1450312974:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.69/1.29 % (2458414)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1044462236:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.69/1.29 % (2458418)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3138408671:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.69/1.29 % (2458416)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1924057664:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.69/1.29 % (2458417)lrs+10_1_sil=8000:sp=occurrence:random_seed=1713131004:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.69/1.29 % (2458418)Also succeeded, but the first one will report.
% 2.69/1.29 % (2458417)Also succeeded, but the first one will report.
% 2.69/1.29 % (2458419)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=902741695:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.69/1.29 % (2458419)Also succeeded, but the first one will report.
% 2.69/1.29 % (2458420)Refutation found. Thanks to Tanya!
% 2.69/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.69/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.29 % (2458420)------------------------------
% 2.69/1.29 % (2458420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.29 % (2458420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.29 % (2458420)CaDiCaL version: 2.1.3
% 2.69/1.29 % (2458420)Termination reason: Refutation
% 2.69/1.29 % (2458420)Time elapsed: 0.003 s
% 2.69/1.29 % (2458420)Peak memory usage: 89 MB
% 2.69/1.29 % (2458420)Instructions burned: 6 (million)
% 2.69/1.29 % (2458420)------------------------------
% 2.69/1.29 % (2458420)------------------------------
% 2.69/1.29 % (2458409)Success in time 0.319 s
% 2.69/1.29 % Vampire exiting
%------------------------------------------------------------------------------