%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC028-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:02:06 PM UTC 2026
% Result : Unsatisfiable 0.16s 1.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 9 unt; 4 def)
% Number of atoms : 106 ( 22 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 105 ( 49 ~; 52 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( nil = sk2
| nil = sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f209,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil = sk4
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,negated_conjecture,
( nil = sk3
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f216,plain,
( nil = sk4
| nil = sk3 ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f219,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f209,f205,f204]) ).
fof(f220,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f226,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f229,definition,
( spl0_1
<=> rearsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f231,plain,
( rearsegP(sk4,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f233,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f234,plain,
( nil != sk3
| spl0_2 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f235,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f213,f233,f229]) ).
fof(f238,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f240,plain,
( neq(sk3,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f243,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f245,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f246,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f211,f243,f229]) ).
fof(f247,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f210,f243,f238]) ).
fof(f248,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f219,f233,f243]) ).
fof(f249,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f216,f243,f233]) ).
fof(f250,plain,
( rearsegP(nil,sk3)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f231,f245]) ).
fof(f260,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f82,f250]) ).
fof(f265,plain,
( nil = sk3
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f260,f202]) ).
fof(f266,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f265,f234]) ).
fof(f267,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f270,plain,
( neq(nil,nil)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f240,f235]) ).
fof(f277,plain,
( ~ ssList(nil)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f270,f226]) ).
fof(f278,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f277,f8]) ).
fof(f279,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f278]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f236]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f246]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f247]) ).
cnf(s5,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f248]) ).
cnf(s6,plain,
( spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f249]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f267]) ).
cnf(s8,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f279]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s5,s1,s3]) ).
cnf(s10,plain,
~ spl0_2,
inference(rat,[],[s4,s5,s8]) ).
cnf(s11,plain,
spl0_4,
inference(rat,[],[s6,s10]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s7,s9,s10,s11]) ).
fof(f280,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC028-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n001.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 07:36:33 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/1.50 % (189099)Input is clausal, will run a generic CNF schedule.
% 0.16/1.50 % (189111)dis-21_1_sil=8000:lcm=predicate:random_seed=4104577832: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)
% 0.16/1.50 % (189111)Instruction limit reached!
% 0.16/1.50 % (189111)------------------------------
% 0.16/1.50 % (189111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (189111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (189111)CaDiCaL version: 2.1.3
% 0.16/1.50 % (189111)Termination reason: Instruction limit
% 0.16/1.50 % (189111)Termination phase: Saturation
% 0.16/1.50 % (189111)Time elapsed: 0.029 s
% 0.16/1.50 % (189111)Peak memory usage: 89 MB
% 0.16/1.50 % (189111)Instructions burned: 122 (million)
% 0.16/1.50 % (189106)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1587142444:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.16/1.50 % (189110)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2800189994:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.16/1.50 % (189108)lrs+10_1_sil=8000:sp=occurrence:random_seed=3807619509:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.16/1.50 % (189105)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=1980704824:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.16/1.50 % (189109)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2550151526:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.16/1.50 % (189107)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=99790928:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.16/1.50 % (189109)Also succeeded, but the first one will report.
% 0.16/1.50 % (189108)First to succeed.
% 0.16/1.50 % (189108)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-189099"
% 0.16/1.50 % (189110)Also succeeded, but the first one will report.
% 0.16/1.50 % (189113)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1807609914:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.16/1.50 % (189113)Also succeeded, but the first one will report.
% 0.16/1.50 % (189108)Refutation found. Thanks to Tanya!
% 0.16/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50 % (189108)------------------------------
% 0.16/1.50 % (189108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (189108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (189108)CaDiCaL version: 2.1.3
% 0.16/1.50 % (189108)Termination reason: Refutation
% 0.16/1.50 % (189108)Time elapsed: 0.004 s
% 0.16/1.50 % (189108)Peak memory usage: 90 MB
% 0.16/1.50 % (189108)Instructions burned: 3 (million)
% 0.16/1.50 % (189108)------------------------------
% 0.16/1.50 % (189108)------------------------------
% 0.16/1.50 % (189099)Success in time 0.445 s
% 0.16/1.50 % Vampire exiting
%------------------------------------------------------------------------------