%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN228-1 : 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 : n017.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 01:49:58 PM UTC 2026
% Result : Unsatisfiable 2.86s 1.18s
% Output : Refutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 10 unt; 1 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 11 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f43,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ m0(X1,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_005) ).
fof(f214,axiom,
! [X0,X1] :
( p2(X0,X1,X0)
| ~ m1(X1,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_176) ).
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,
~ l3(b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f607,definition,
( spl0_69
<=> l3(b,e) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f608,plain,
( ~ l3(b,e)
| spl0_69 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f1388,plain,
~ spl0_69,
inference(avatar_split_clause,[],[f369,f607]) ).
fof(f2006,plain,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| l3(X0,X1)
| ~ r0(X0) ),
inference(resolution,[],[f253,f214]) ).
fof(f2295,plain,
! [X0,X1] :
( ~ m0(X0,X0,X1)
| ~ r0(X0)
| l3(X0,X1) ),
inference(resolution,[],[f2006,f43]) ).
fof(f4281,plain,
( ~ r0(b)
| l3(b,e) ),
inference(resolution,[],[f2295,f31]) ).
fof(f4282,plain,
l3(b,e),
inference(forward_subsumption_resolution,[],[f4281,f9]) ).
fof(f4283,plain,
( $false
| spl0_69 ),
inference(forward_subsumption_resolution,[],[f4282,f608]) ).
fof(f4284,plain,
spl0_69,
inference(avatar_contradiction_clause,[],[f4283]) ).
cnf(s152,plain,
~ spl0_69,
inference(sat_conversion,[],[f1388]) ).
cnf(s561,plain,
spl0_69,
inference(sat_conversion,[],[f4284]) ).
cnf(s589,plain,
$false,
inference(rat,[],[s152,s561]) ).
fof(f4285,plain,
$false,
inference(avatar_sat_refutation,[],[s589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN228-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n017.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:34:21 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.86/1.18 % (3648209)Input is clausal, will run a generic CNF schedule.
% 2.86/1.18 % (3648297)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1485753126:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.86/1.18 % (3648296)lrs+10_1_sil=8000:sp=occurrence:random_seed=843440832:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.86/1.18 % (3648299)dis-21_1_sil=8000:lcm=predicate:random_seed=3958755926: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)
% 2.86/1.18 % (3648293)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=28397377:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.86/1.18 % (3648294)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3810581037:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.86/1.18 % (3648295)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=389617398:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.86/1.18 % (3648297)First to succeed.
% 2.86/1.18 % (3648297)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3648209"
% 2.86/1.18 % (3648298)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1246215038:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.86/1.18 % (3648296)Also succeeded, but the first one will report.
% 2.86/1.18 % (3648298)Also succeeded, but the first one will report.
% 2.86/1.18 % (3648299)Instruction limit reached!
% 2.86/1.18 % (3648299)------------------------------
% 2.86/1.18 % (3648299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.18 % (3648299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.18 % (3648299)CaDiCaL version: 2.1.3
% 2.86/1.18 % (3648299)Termination reason: Instruction limit
% 2.86/1.18 % (3648299)Termination phase: Saturation
% 2.86/1.18 % (3648299)Time elapsed: 0.055 s
% 2.86/1.18 % (3648299)Peak memory usage: 89 MB
% 2.86/1.18 % (3648299)Instructions burned: 117 (million)
% 2.86/1.18 % (3648297)Refutation found. Thanks to Tanya!
% 2.86/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.86/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.86/1.18 % (3648297)------------------------------
% 2.86/1.18 % (3648297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.18 % (3648297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.18 % (3648297)CaDiCaL version: 2.1.3
% 2.86/1.18 % (3648297)Termination reason: Refutation
% 2.86/1.18 % (3648297)Time elapsed: 0.029 s
% 2.86/1.18 % (3648297)Peak memory usage: 91 MB
% 2.86/1.18 % (3648297)Instructions burned: 75 (million)
% 2.86/1.18 % (3648297)------------------------------
% 2.86/1.18 % (3648297)------------------------------
% 2.86/1.18 % (3648209)Success in time 0.316 s
% 2.86/1.18 % Vampire exiting
%------------------------------------------------------------------------------