%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC207-1 : 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 : n009.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 01:02:56 PM UTC 2026
% Result : Unsatisfiable 3.64s 1.49s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 51 ( 16 unt; 4 def)
% Number of atoms : 106 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 112 ( 57 ~; 51 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
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(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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f210]) ).
fof(f220,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f221,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f242,definition,
( spl0_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f243,plain,
( nil = sk3
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f253,definition,
( spl0_6
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f254,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f257,definition,
( spl0_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f258,plain,
( nil = sk4
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f261,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f211,f253,f257]) ).
fof(f263,definition,
( spl0_8
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f264,plain,
( ssItem(sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f266,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f208,f263,f257]) ).
fof(f267,plain,
( ~ neq(nil,nil)
| ~ spl0_3 ),
inference(superposition,[],[f221,f243]) ).
fof(f268,plain,
( ssList(nil)
| ~ spl0_3 ),
inference(superposition,[],[f202,f243]) ).
fof(f269,plain,
( neq(nil,nil)
| ~ spl0_7 ),
inference(superposition,[],[f220,f258]) ).
fof(f273,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f269,f267]) ).
fof(f274,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f275,plain,
( nil = cons(sk5,nil)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f254,f243]) ).
fof(f289,plain,
( nil != nil
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f99,f275]) ).
fof(f290,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f289]) ).
fof(f291,plain,
( ~ ssList(nil)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f290,f264]) ).
fof(f292,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f291,f268]) ).
fof(f293,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f294,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3 ),
inference(resolution,[],[f102,f221]) ).
fof(f301,plain,
( ~ ssList(nil)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f294,f202]) ).
fof(f303,plain,
nil = sk3,
inference(forward_subsumption_resolution,[],[f301,f8]) ).
fof(f304,plain,
spl0_3,
inference(avatar_split_clause,[],[f303,f242]) ).
cnf(s7,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f261]) ).
cnf(s9,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f266]) ).
cnf(s11,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f274]) ).
cnf(s12,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f293]) ).
cnf(s13,plain,
spl0_3,
inference(sat_conversion,[],[f304]) ).
cnf(s14,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(rat,[],[s12,s13]) ).
cnf(s15,plain,
~ spl0_7,
inference(rat,[],[s11,s13]) ).
cnf(s17,plain,
spl0_8,
inference(rat,[],[s9,s15]) ).
cnf(s18,plain,
~ spl0_6,
inference(rat,[],[s14,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s7,s15,s18]) ).
fof(f305,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC207-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n009.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 08:27:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.64/1.48 % (2885234)Input is clausal, will run a generic CNF schedule.
% 3.64/1.48 % (2885239)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=1721877979:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.48 % (2885244)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=985531258:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.48 % (2885241)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3415066827:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.48 % (2885242)lrs+10_1_sil=8000:sp=occurrence:random_seed=102040760:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.48 % (2885240)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1103476903:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.48 % (2885245)dis-21_1_sil=8000:lcm=predicate:random_seed=4054880457: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)
% 3.64/1.49 % (2885243)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=889556265:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.49 % (2885243)First to succeed.
% 3.64/1.49 % (2885242)Also succeeded, but the first one will report.
% 3.64/1.49 % (2885243)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2885234"
% 3.64/1.49 % (2885244)Also succeeded, but the first one will report.
% 3.64/1.49 % (2885245)Instruction limit reached!
% 3.64/1.49 % (2885245)------------------------------
% 3.64/1.49 % (2885245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.49 % (2885245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.49 % (2885245)CaDiCaL version: 2.1.3
% 3.64/1.49 % (2885245)Termination reason: Instruction limit
% 3.64/1.49 % (2885245)Termination phase: Saturation
% 3.64/1.49 % (2885245)Time elapsed: 0.055 s
% 3.64/1.49 % (2885245)Peak memory usage: 89 MB
% 3.64/1.49 % (2885245)Instructions burned: 118 (million)
% 3.64/1.49 % (2885253)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=2982034024:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.64/1.49 % (2885253)Also succeeded, but the first one will report.
% 3.64/1.49 % (2885243)Refutation found. Thanks to Tanya!
% 3.64/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.64/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.49 % (2885243)------------------------------
% 3.64/1.49 % (2885243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.49 % (2885243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.49 % (2885243)CaDiCaL version: 2.1.3
% 3.64/1.49 % (2885243)Termination reason: Refutation
% 3.64/1.49 % (2885243)Time elapsed: 0.005 s
% 3.64/1.49 % (2885243)Peak memory usage: 89 MB
% 3.64/1.49 % (2885243)Instructions burned: 4 (million)
% 3.64/1.49 % (2885243)------------------------------
% 3.64/1.49 % (2885243)------------------------------
% 3.64/1.49 % (2885234)Success in time 0.438 s
% 3.64/1.49 % Vampire exiting
%------------------------------------------------------------------------------