%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC217-1 : 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 01:02:59 PM UTC 2026
% Result : Unsatisfiable 0.28s 1.31s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 48 ( 17 unt; 5 def)
% Number of atoms : 99 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 105 ( 54 ~; 46 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 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/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/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/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(f207,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f210]) ).
fof(f244,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f253,definition,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f255,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f211,f253,f244]) ).
fof(f258,definition,
( spl0_4
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f260,plain,
( ssItem(sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f209,f258,f244]) ).
fof(f267,definition,
( spl0_6
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f269,plain,
( nil = sk3
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f276,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f277,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f312,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f276]) ).
fof(f315,plain,
neq(sk4,nil),
inference(forward_demodulation,[],[f206,f204]) ).
fof(f316,plain,
spl0_1,
inference(avatar_split_clause,[],[f315,f244]) ).
fof(f317,plain,
~ neq(sk3,nil),
inference(forward_demodulation,[],[f207,f205]) ).
fof(f362,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3 ),
inference(resolution,[],[f102,f317]) ).
fof(f365,plain,
( ~ ssList(nil)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f362,f202]) ).
fof(f366,plain,
( nil = sk3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f365,f277]) ).
fof(f369,plain,
( spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f366,f276,f267]) ).
fof(f400,plain,
( nil != sk3
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_3 ),
inference(superposition,[],[f99,f255]) ).
fof(f401,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f400,f269]) ).
fof(f402,plain,
( ~ ssList(nil)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f401,f260]) ).
fof(f403,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f402,f277]) ).
fof(f404,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f403]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f256]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f261]) ).
cnf(s14,plain,
spl0_8,
inference(sat_conversion,[],[f312]) ).
cnf(s15,plain,
spl0_1,
inference(sat_conversion,[],[f316]) ).
cnf(s18,plain,
( spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f369]) ).
cnf(s19,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f404]) ).
cnf(s20,plain,
spl0_6,
inference(rat,[],[s18,s14]) ).
cnf(s25,plain,
spl0_4,
inference(rat,[],[s3,s15]) ).
cnf(s26,plain,
~ spl0_3,
inference(rat,[],[s19,s14,s20,s25]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s2,s26,s15]) ).
fof(f405,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC217-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 % Computer : n007.cluster.edu
% 0.12/0.23 % Model : x86_64 x86_64
% 0.12/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.23 % Memory : 8046.5625MB
% 0.12/0.23 % OS : Linux 6.8.0-71-generic
% 0.12/0.23 % CPULimit : 300
% 0.12/0.23 % WCLimit : 300
% 0.12/0.23 % DateTime : Mon Sep 28 08:30:25 UTC 2026
% 0.12/0.23 % CPUTime :
% 0.12/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.28 Running first-order theorem proving
% 0.28/0.28 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
% 0.28/1.31 % (2245578)Input is clausal, will run a generic CNF schedule.
% 0.28/1.31 % (2245594)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2001905271:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.28/1.31 % (2245594)First to succeed.
% 0.28/1.31 % (2245594)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2245578"
% 0.28/1.31 % (2245590)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1150222194:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.28/1.31 % (2245595)dis-21_1_sil=8000:lcm=predicate:random_seed=422346912: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)
% 0.28/1.31 % (2245593)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3297529279:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.28/1.31 % (2245592)lrs+10_1_sil=8000:sp=occurrence:random_seed=944087407:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.28/1.31 % (2245589)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=3273974406:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.28/1.31 % (2245591)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3960289992:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.28/1.31 % (2245593)Also succeeded, but the first one will report.
% 0.28/1.31 % (2245592)Also succeeded, but the first one will report.
% 0.28/1.31 % (2245595)Instruction limit reached!
% 0.28/1.31 % (2245595)------------------------------
% 0.28/1.31 % (2245595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.31 % (2245595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.31 % (2245595)CaDiCaL version: 2.1.3
% 0.28/1.31 % (2245595)Termination reason: Instruction limit
% 0.28/1.31 % (2245595)Termination phase: Saturation
% 0.28/1.31 % (2245595)Time elapsed: 0.078 s
% 0.28/1.31 % (2245595)Peak memory usage: 89 MB
% 0.28/1.31 % (2245595)Instructions burned: 118 (million)
% 0.28/1.31 % (2245594)Refutation found. Thanks to Tanya!
% 0.28/1.31 % SZS status Unsatisfiable for theBenchmark
% 0.28/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/1.31 % (2245594)------------------------------
% 0.28/1.31 % (2245594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.31 % (2245594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.31 % (2245594)CaDiCaL version: 2.1.3
% 0.28/1.31 % (2245594)Termination reason: Refutation
% 0.28/1.31 % (2245594)Time elapsed: 0.006 s
% 0.28/1.31 % (2245594)Peak memory usage: 90 MB
% 0.28/1.31 % (2245594)Instructions burned: 11 (million)
% 0.28/1.31 % (2245594)------------------------------
% 0.28/1.31 % (2245594)------------------------------
% 0.28/1.31 % (2245578)Success in time 0.355 s
% 0.28/1.31 % Vampire exiting
%------------------------------------------------------------------------------