%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC367-1 : 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 : 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 01:03:39 PM UTC 2026
% Result : Unsatisfiable 2.55s 1.12s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 13 unt; 5 def)
% Number of atoms : 80 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 71 ( 34 ~; 32 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
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,
~ rearsegP(sk2,sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( nil = sk4
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
( nil = sk3
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
~ rearsegP(sk4,sk3),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f215,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f225,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f226,plain,
( ~ ssList(nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f229,definition,
( spl0_3
<=> rearsegP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f230,plain,
( rearsegP(nil,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f231,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f215,f225,f229]) ).
fof(f233,definition,
( spl0_4
<=> rearsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f234,plain,
( rearsegP(sk4,sk3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,definition,
( spl0_5
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f237,plain,
( nil = sk3
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f238,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f210,f236,f233]) ).
fof(f244,definition,
( spl0_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f245,plain,
( nil = sk4
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f246,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f208,f244,f233]) ).
fof(f248,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f234,f213]) ).
fof(f249,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f250,plain,
( ~ rearsegP(sk4,nil)
| ~ spl0_5 ),
inference(superposition,[],[f213,f237]) ).
fof(f251,plain,
( ssList(nil)
| ~ spl0_5 ),
inference(superposition,[],[f202,f237]) ).
fof(f255,plain,
( ~ rearsegP(nil,nil)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f250,f245]) ).
fof(f256,plain,
( $false
| spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f226,f251]) ).
fof(f257,plain,
( spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f259,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f255,f230]) ).
fof(f260,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f259]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f231]) ).
cnf(s3,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f238]) ).
cnf(s5,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f246]) ).
cnf(s7,plain,
~ spl0_4,
inference(sat_conversion,[],[f249]) ).
cnf(s8,plain,
( spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f257]) ).
cnf(s9,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f260]) ).
cnf(s10,plain,
spl0_7,
inference(rat,[],[s5,s7]) ).
cnf(s11,plain,
spl0_5,
inference(rat,[],[s3,s7]) ).
cnf(s12,plain,
~ spl0_3,
inference(rat,[],[s9,s10,s11]) ).
cnf(s13,plain,
spl0_2,
inference(rat,[],[s8,s11]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s2,s12,s13]) ).
fof(f261,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC367-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n007.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:18:17 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 2.55/1.12 % (2259236)Input is clausal, will run a generic CNF schedule.
% 2.55/1.12 % (2259245)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2342599837:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.55/1.12 % (2259245)First to succeed.
% 2.55/1.12 % (2259245)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2259236"
% 2.55/1.12 % (2259246)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2589439412:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.55/1.12 % (2259241)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=3530287554:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.55/1.12 % (2259244)lrs+10_1_sil=8000:sp=occurrence:random_seed=2925359017:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.55/1.12 % (2259242)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3451145170:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.55/1.12 % (2259243)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3063841828:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.55/1.12 % (2259244)Also succeeded, but the first one will report.
% 2.55/1.12 % (2259246)Also succeeded, but the first one will report.
% 2.55/1.12 % (2259247)dis-21_1_sil=8000:lcm=predicate:random_seed=3982707286: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)
% 2.55/1.12 % (2259247)Instruction limit reached!
% 2.55/1.12 % (2259247)------------------------------
% 2.55/1.12 % (2259247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.12 % (2259247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.12 % (2259247)CaDiCaL version: 2.1.3
% 2.55/1.12 % (2259247)Termination reason: Instruction limit
% 2.55/1.12 % (2259247)Termination phase: Saturation
% 2.55/1.12 % (2259247)Time elapsed: 0.050 s
% 2.55/1.12 % (2259247)Peak memory usage: 89 MB
% 2.55/1.12 % (2259247)Instructions burned: 119 (million)
% 2.55/1.12 % (2259245)Refutation found. Thanks to Tanya!
% 2.55/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.55/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/1.12 % (2259245)------------------------------
% 2.55/1.12 % (2259245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.12 % (2259245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.12 % (2259245)CaDiCaL version: 2.1.3
% 2.55/1.12 % (2259245)Termination reason: Refutation
% 2.55/1.12 % (2259245)Time elapsed: 0.002 s
% 2.55/1.12 % (2259245)Peak memory usage: 90 MB
% 2.55/1.12 % (2259245)Instructions burned: 2 (million)
% 2.55/1.12 % (2259245)------------------------------
% 2.55/1.12 % (2259245)------------------------------
% 2.55/1.12 % (2259236)Success in time 0.281 s
% 2.55/1.12 % Vampire exiting
%------------------------------------------------------------------------------