%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC213-1 : 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 : n020.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 01:02:58 PM UTC 2026
% Result : Unsatisfiable 2.70s 1.17s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 14 unt; 2 def)
% Number of atoms : 56 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 25 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 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/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/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(f216,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f220,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f221,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f216,f205]) ).
fof(f231,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f232,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f233,plain,
( nil != sk3
| spl0_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl0_2
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f237,plain,
( nil = sk4
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f217,f235,f231]) ).
fof(f264,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3 ),
inference(resolution,[],[f102,f221]) ).
fof(f269,plain,
( ~ ssList(nil)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f264,f202]) ).
fof(f270,plain,
nil = sk3,
inference(forward_subsumption_resolution,[],[f269,f8]) ).
fof(f271,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f270,f233]) ).
fof(f272,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f276,plain,
( ~ neq(nil,nil)
| ~ spl0_1 ),
inference(superposition,[],[f221,f232]) ).
fof(f283,plain,
( neq(nil,nil)
| ~ spl0_2 ),
inference(superposition,[],[f220,f237]) ).
fof(f285,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f283,f276]) ).
fof(f286,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f285]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f238]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f272]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f286]) ).
cnf(s4,plain,
~ spl0_2,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f287,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC213-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 % Computer : n020.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 08:32:49 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 2.70/1.17 % (34089)Input is clausal, will run a generic CNF schedule.
% 2.70/1.17 % (34097)lrs+10_1_sil=8000:sp=occurrence:random_seed=1722188573:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.70/1.17 % (34097)First to succeed.
% 2.70/1.17 % (34097)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-34089"
% 2.70/1.17 % (34096)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1461443188:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.70/1.17 % (34098)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1940740235:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.70/1.17 % (34094)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=735563732:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.70/1.17 % (34095)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2168694390:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.70/1.17 % (34098)Also succeeded, but the first one will report.
% 2.70/1.17 % (34100)dis-21_1_sil=8000:lcm=predicate:random_seed=3804168378: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)
% 2.70/1.17 % (34099)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1689379354:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.70/1.17 % (34099)Also succeeded, but the first one will report.
% 2.70/1.17 % (34100)Instruction limit reached!
% 2.70/1.17 % (34100)------------------------------
% 2.70/1.17 % (34100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.17 % (34100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.17 % (34100)CaDiCaL version: 2.1.3
% 2.70/1.17 % (34100)Termination reason: Instruction limit
% 2.70/1.17 % (34100)Termination phase: Saturation
% 2.70/1.17 % (34100)Time elapsed: 0.063 s
% 2.70/1.17 % (34100)Peak memory usage: 90 MB
% 2.70/1.17 % (34100)Instructions burned: 117 (million)
% 2.70/1.17 % (34097)Refutation found. Thanks to Tanya!
% 2.70/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.70/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.17 % (34097)------------------------------
% 2.70/1.17 % (34097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.17 % (34097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.17 % (34097)CaDiCaL version: 2.1.3
% 2.70/1.17 % (34097)Termination reason: Refutation
% 2.70/1.17 % (34097)Time elapsed: 0.003 s
% 2.70/1.17 % (34097)Peak memory usage: 90 MB
% 2.70/1.17 % (34097)Instructions burned: 4 (million)
% 2.70/1.17 % (34097)------------------------------
% 2.70/1.17 % (34097)------------------------------
% 2.70/1.17 % (34089)Success in time 0.294 s
% 2.70/1.17 % Vampire exiting
%------------------------------------------------------------------------------