%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC050-1 : 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 : n003.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 01:02:12 PM UTC 2026
% Result : Unsatisfiable 3.62s 1.48s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 12 unt; 6 def)
% Number of atoms : 113 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 134 ( 68 ~; 60 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 4 !; 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] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ rearsegP(sk2,X0)
| ~ rearsegP(sk1,X0)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f214,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f215,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f216,negated_conjecture,
( rearsegP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f217,negated_conjecture,
( rearsegP(sk3,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f227,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ rearsegP(sk4,X0)
| ~ rearsegP(sk3,X0)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f213,f204,f205]) ).
fof(f235,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f248,definition,
( spl0_4
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f251,definition,
( spl0_5
<=> rearsegP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f252,plain,
( rearsegP(sk3,sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f217,f251,f248]) ).
fof(f255,definition,
( spl0_6
<=> rearsegP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f256,plain,
( rearsegP(sk4,sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f257,plain,
( ~ spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f216,f255,f248]) ).
fof(f259,definition,
( spl0_7
<=> neq(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f260,plain,
( neq(sk5,nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( ~ spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f215,f259,f248]) ).
fof(f263,definition,
( spl0_8
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f264,plain,
( ssList(sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f214,f263,f248]) ).
fof(f267,definition,
( spl0_9
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(sk3,X0)
| ~ rearsegP(sk4,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f268,plain,
( ! [X0] :
( ~ neq(X0,nil)
| ~ rearsegP(sk3,X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f269,plain,
( ~ spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f227,f267,f248]) ).
fof(f276,plain,
spl0_4,
inference(avatar_split_clause,[],[f235,f248]) ).
fof(f277,plain,
( ~ rearsegP(sk3,sk5)
| ~ rearsegP(sk4,sk5)
| ~ ssList(sk5)
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f268,f260]) ).
fof(f280,plain,
( ~ rearsegP(sk4,sk5)
| ~ ssList(sk5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f277,f252]) ).
fof(f288,plain,
( ~ ssList(sk5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f280,f256]) ).
fof(f289,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f288,f264]) ).
fof(f290,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f289]) ).
cnf(s3,plain,
( ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f253]) ).
cnf(s4,plain,
( ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f257]) ).
cnf(s5,plain,
( ~ spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f261]) ).
cnf(s6,plain,
( ~ spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f265]) ).
cnf(s7,plain,
( ~ spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f269]) ).
cnf(s13,plain,
spl0_4,
inference(sat_conversion,[],[f276]) ).
cnf(s15,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f290]) ).
cnf(s16,plain,
spl0_9,
inference(rat,[],[s7,s13]) ).
cnf(s17,plain,
spl0_8,
inference(rat,[],[s6,s13]) ).
cnf(s18,plain,
spl0_7,
inference(rat,[],[s5,s13]) ).
cnf(s19,plain,
spl0_6,
inference(rat,[],[s4,s13]) ).
cnf(s20,plain,
~ spl0_5,
inference(rat,[],[s15,s16,s17,s18,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s3,s20,s13]) ).
fof(f291,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC050-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % 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 07:39:37 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.62/1.48 % (1411126)Input is clausal, will run a generic CNF schedule.
% 3.62/1.48 % (1411131)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=1469093895:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.62/1.48 % (1411135)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=752911896:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.62/1.48 % (1411132)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=257297434:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.62/1.48 % (1411137)dis-21_1_sil=8000:lcm=predicate:random_seed=3234930827: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)
% 3.62/1.48 % (1411133)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=33872020:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.62/1.48 % (1411134)lrs+10_1_sil=8000:sp=occurrence:random_seed=3624403770:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.62/1.48 % (1411136)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1640593872:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.62/1.48 % (1411134)Also succeeded, but the first one will report.
% 3.62/1.48 % (1411135)First to succeed.
% 3.62/1.48 % (1411135)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1411126"
% 3.62/1.48 % (1411137)Also succeeded, but the first one will report.
% 3.62/1.48 % (1411136)Also succeeded, but the first one will report.
% 3.62/1.48 % (1411135)Refutation found. Thanks to Tanya!
% 3.62/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.62/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.48 % (1411135)------------------------------
% 3.62/1.48 % (1411135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.48 % (1411135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.48 % (1411135)CaDiCaL version: 2.1.3
% 3.62/1.48 % (1411135)Termination reason: Refutation
% 3.62/1.48 % (1411135)Time elapsed: 0.003 s
% 3.62/1.48 % (1411135)Peak memory usage: 89 MB
% 3.62/1.48 % (1411135)Instructions burned: 3 (million)
% 3.62/1.48 % (1411135)------------------------------
% 3.62/1.48 % (1411135)------------------------------
% 3.62/1.48 % (1411126)Success in time 0.436 s
% 3.62/1.48 % Vampire exiting
%------------------------------------------------------------------------------