%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN220-1 : 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 : n008.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 01:49:57 PM UTC 2026
% Result : Unsatisfiable 3.13s 1.35s
% Output : Refutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 2 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 21 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f197,axiom,
! [X0] :
( ~ k1(X0)
| p2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_159) ).
fof(f253,axiom,
! [X0,X1] :
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_215) ).
fof(f369,negated_conjecture,
! [X0] : ~ l3(X0,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f717,definition,
( spl0_89
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f718,plain,
( r0(b)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f1129,definition,
( spl0_191
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
fof(f1130,plain,
( k1(b)
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1131,plain,
( ~ k1(b)
| spl0_191 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1565,plain,
spl0_89,
inference(avatar_split_clause,[],[f9,f717]) ).
fof(f1731,plain,
( ! [X0] : ~ n0(X0,b)
| spl0_191 ),
inference(resolution,[],[f39,f1131]) ).
fof(f1773,plain,
( $false
| spl0_191 ),
inference(resolution,[],[f1731,f7]) ).
fof(f1778,plain,
spl0_191,
inference(avatar_contradiction_clause,[],[f1773]) ).
fof(f1779,plain,
( p2(b,b,b)
| ~ spl0_191 ),
inference(resolution,[],[f1130,f197]) ).
fof(f1795,plain,
( ~ r0(b)
| l3(b,b)
| ~ spl0_191 ),
inference(resolution,[],[f1779,f253]) ).
fof(f1796,plain,
( l3(b,b)
| ~ spl0_89
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f1795,f718]) ).
fof(f1797,plain,
( $false
| ~ spl0_89
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f1796,f369]) ).
fof(f1798,plain,
( ~ spl0_89
| ~ spl0_191 ),
inference(avatar_contradiction_clause,[],[f1797]) ).
cnf(s165,plain,
spl0_89,
inference(sat_conversion,[],[f1565]) ).
cnf(s237,plain,
spl0_191,
inference(sat_conversion,[],[f1778]) ).
cnf(s240,plain,
( ~ spl0_89
| ~ spl0_191 ),
inference(sat_conversion,[],[f1798]) ).
cnf(s241,plain,
~ spl0_89,
inference(rat,[],[s240,s237]) ).
cnf(s248,plain,
$false,
inference(rat,[],[s165,s241]) ).
fof(f1799,plain,
$false,
inference(avatar_sat_refutation,[],[s248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN220-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:39:24 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 3.13/1.35 % (2353924)Input is clausal, will run a generic CNF schedule.
% 3.13/1.35 % (2353934)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3298624026:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.13/1.35 % (2353935)dis-21_1_sil=8000:lcm=predicate:random_seed=838112847: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)
% 3.13/1.35 % (2353932)lrs+10_1_sil=8000:sp=occurrence:random_seed=117872679:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.13/1.35 % (2353930)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=425775540:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.13/1.35 % (2353929)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=71697839:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.13/1.35 % (2353933)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3340092039:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.13/1.35 % (2353931)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1719737074:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.13/1.35 % (2353934)First to succeed.
% 3.13/1.35 % (2353934)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2353924"
% 3.13/1.35 % (2353932)Also succeeded, but the first one will report.
% 3.13/1.35 % (2353933)Also succeeded, but the first one will report.
% 3.13/1.35 % (2353935)Also succeeded, but the first one will report.
% 3.13/1.35 % (2353934)Refutation found. Thanks to Tanya!
% 3.13/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.13/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.13/1.35 % (2353934)------------------------------
% 3.13/1.35 % (2353934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.35 % (2353934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.35 % (2353934)CaDiCaL version: 2.1.3
% 3.13/1.35 % (2353934)Termination reason: Refutation
% 3.13/1.35 % (2353934)Time elapsed: 0.008 s
% 3.13/1.35 % (2353934)Peak memory usage: 90 MB
% 3.13/1.35 % (2353934)Instructions burned: 21 (million)
% 3.13/1.35 % (2353934)------------------------------
% 3.13/1.35 % (2353934)------------------------------
% 3.13/1.35 % (2353924)Success in time 0.341 s
% 3.13/1.35 % Vampire exiting
%------------------------------------------------------------------------------