%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC101-1 : 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 : n013.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 01:02:27 PM UTC 2026
% Result : Unsatisfiable 3.55s 1.49s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 48 ( 14 unt; 4 def)
% Number of atoms : 99 ( 19 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 97 ( 46 ~; 47 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
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,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f212,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
( ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f217,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f213,f204,f205]) ).
fof(f218,plain,
( ~ neq(sk3,nil)
| ~ frontsegP(sk4,sk3) ),
inference(definition_unfolding,[],[f214,f205,f204,f205]) ).
fof(f221,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f238,definition,
( spl0_4
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f239,plain,
( ~ frontsegP(sk4,sk3)
| spl0_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,definition,
( spl0_5
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f242,plain,
( ~ neq(sk3,nil)
| spl0_5 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f243,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f218,f241,f238]) ).
fof(f245,definition,
( spl0_6
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f246,plain,
( nil != sk3
| spl0_6 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,definition,
( spl0_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f250,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f217,f248,f245]) ).
fof(f252,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f212,f248,f245]) ).
fof(f287,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f221,f85]) ).
fof(f289,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk5) ),
inference(superposition,[],[f287,f208]) ).
fof(f297,plain,
( ~ ssList(sk3)
| ~ ssList(sk5)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f289,f239]) ).
fof(f299,plain,
( ~ ssList(sk5)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f297,f202]) ).
fof(f300,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f299,f206]) ).
fof(f301,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f304,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl0_5 ),
inference(resolution,[],[f242,f102]) ).
fof(f305,plain,
( ~ ssList(nil)
| nil = sk3
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f304,f202]) ).
fof(f306,plain,
( nil = sk3
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f305,f8]) ).
fof(f307,plain,
( $false
| spl0_5
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f306,f246]) ).
fof(f308,plain,
( spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f307]) ).
cnf(s3,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f243]) ).
cnf(s4,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f250]) ).
cnf(s5,plain,
( ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f252]) ).
cnf(s8,plain,
spl0_4,
inference(sat_conversion,[],[f301]) ).
cnf(s9,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f308]) ).
cnf(s10,plain,
~ spl0_5,
inference(rat,[],[s3,s8]) ).
cnf(s11,plain,
spl0_6,
inference(rat,[],[s9,s10]) ).
cnf(s12,plain,
spl0_7,
inference(rat,[],[s5,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s4,s12,s11]) ).
fof(f309,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC101-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n013.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % 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 07:51:52 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 3.55/1.49 % (1009628)Input is clausal, will run a generic CNF schedule.
% 3.55/1.49 % (1009633)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=1368480842:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.55/1.49 % (1009634)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2411407989:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.55/1.49 % (1009636)lrs+10_1_sil=8000:sp=occurrence:random_seed=2808816993:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.55/1.49 % (1009639)dis-21_1_sil=8000:lcm=predicate:random_seed=1041624360: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)
% 3.55/1.49 % (1009637)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=636464482:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.55/1.49 % (1009635)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3718650527:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.55/1.49 % (1009638)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=714794590:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.55/1.49 % (1009637)First to succeed.
% 3.55/1.49 % (1009637)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1009628"
% 3.55/1.49 % (1009636)Also succeeded, but the first one will report.
% 3.55/1.49 % (1009638)Also succeeded, but the first one will report.
% 3.55/1.49 % (1009639)Instruction limit reached!
% 3.55/1.49 % (1009639)------------------------------
% 3.55/1.49 % (1009639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.49 % (1009639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.49 % (1009639)CaDiCaL version: 2.1.3
% 3.55/1.49 % (1009639)Termination reason: Instruction limit
% 3.55/1.49 % (1009639)Termination phase: Saturation
% 3.55/1.49 % (1009639)Time elapsed: 0.068 s
% 3.55/1.49 % (1009639)Peak memory usage: 90 MB
% 3.55/1.49 % (1009639)Instructions burned: 119 (million)
% 3.55/1.49 % (1009647)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=4103629794:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.55/1.49 % (1009647)Also succeeded, but the first one will report.
% 3.55/1.49 % (1009637)Refutation found. Thanks to Tanya!
% 3.55/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.55/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.49 % (1009637)------------------------------
% 3.55/1.49 % (1009637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.49 % (1009637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.49 % (1009637)CaDiCaL version: 2.1.3
% 3.55/1.49 % (1009637)Termination reason: Refutation
% 3.55/1.49 % (1009637)Time elapsed: 0.005 s
% 3.55/1.49 % (1009637)Peak memory usage: 90 MB
% 3.55/1.49 % (1009637)Instructions burned: 4 (million)
% 3.55/1.49 % (1009637)------------------------------
% 3.55/1.49 % (1009637)------------------------------
% 3.55/1.49 % (1009628)Success in time 0.418 s
% 3.55/1.49 % Vampire exiting
%------------------------------------------------------------------------------