%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN130-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:49:44 PM UTC 2026
% Result : Unsatisfiable 2.62s 1.07s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 1 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ m0(X0,X1,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1362,definition,
( spl0_247
<=> ! [X2,X1] : ~ m0(X1,X2,b) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
fof(f1363,plain,
( ! [X2,X1] : ~ m0(X1,X2,b)
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f1569,plain,
spl0_247,
inference(avatar_split_clause,[],[f369,f1362]) ).
fof(f1572,plain,
( $false
| ~ spl0_247 ),
inference(resolution,[],[f1363,f19]) ).
fof(f1573,plain,
~ spl0_247,
inference(avatar_contradiction_clause,[],[f1572]) ).
cnf(s169,plain,
spl0_247,
inference(sat_conversion,[],[f1569]) ).
cnf(s171,plain,
~ spl0_247,
inference(sat_conversion,[],[f1573]) ).
cnf(s172,plain,
$false,
inference(rat,[],[s169,s171]) ).
fof(f1574,plain,
$false,
inference(avatar_sat_refutation,[],[s172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN130-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:41:19 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.62/1.07 % (3714709)Input is clausal, will run a generic CNF schedule.
% 2.62/1.07 % (3714719)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3394687751:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.62/1.07 % (3714719)First to succeed.
% 2.62/1.07 % (3714719)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3714709"
% 2.62/1.07 % (3714716)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3679051007:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.62/1.07 % (3714714)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=3724118297:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.62/1.07 % (3714715)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1997836954:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.62/1.07 % (3714717)lrs+10_1_sil=8000:sp=occurrence:random_seed=2983290260:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.62/1.07 % (3714717)Also succeeded, but the first one will report.
% 2.62/1.07 % (3714720)dis-21_1_sil=8000:lcm=predicate:random_seed=1379883044: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)
% 2.62/1.07 % (3714718)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3363706998:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.62/1.07 % (3714718)Also succeeded, but the first one will report.
% 2.62/1.07 % (3714720)Also succeeded, but the first one will report.
% 2.62/1.07 % (3714719)Refutation found. Thanks to Tanya!
% 2.62/1.07 % SZS status Unsatisfiable for theBenchmark
% 2.62/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.07 % (3714719)------------------------------
% 2.62/1.07 % (3714719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.07 % (3714719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.07 % (3714719)CaDiCaL version: 2.1.3
% 2.62/1.07 % (3714719)Termination reason: Refutation
% 2.62/1.07 % (3714719)Time elapsed: 0.005 s
% 2.62/1.07 % (3714719)Peak memory usage: 90 MB
% 2.62/1.07 % (3714719)Instructions burned: 12 (million)
% 2.62/1.07 % (3714719)------------------------------
% 2.62/1.07 % (3714719)------------------------------
% 2.62/1.07 % (3714709)Success in time 0.299 s
% 2.62/1.07 % Vampire exiting
%------------------------------------------------------------------------------