%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA020-1 : 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 : n006.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 12:27:44 PM UTC 2026
% Result : Unsatisfiable 4.52s 2.05s
% Output : Refutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 10 unt; 2 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(pickup(X1),X2))
| ~ holds(on(X1,X0),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_2) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(clear(d),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_D) ).
fof(f72,plain,
! [X0,X1] :
( ~ holds(on(X0,d),X1)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1) ),
inference(resolution,[],[f3,f31]) ).
fof(f74,plain,
( ~ holds(clear(c),s0)
| ~ holds(empty,s0) ),
inference(resolution,[],[f72,f24]) ).
fof(f78,definition,
( spl0_1
<=> holds(empty,s0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f79,plain,
( ~ holds(empty,s0)
| spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,definition,
( spl0_2
<=> holds(clear(c),s0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f82,plain,
( ~ holds(clear(c),s0)
| spl0_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f74,f81,f78]) ).
fof(f84,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f79,f29]) ).
fof(f85,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f86,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f82,f28]) ).
fof(f87,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f86]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f83]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f85]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f87]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f88,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PLA020-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n006.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 22:09:25 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 4.52/2.05 % (3372838)Input is clausal, will run a generic CNF schedule.
% 4.52/2.05 % (3372858)dis-21_1_sil=8000:lcm=predicate:random_seed=2389184227: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)
% 4.52/2.05 % (3372858)First to succeed.
% 4.52/2.05 % (3372858)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3372838"
% 4.52/2.05 % (3372853)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4147284770:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.52/2.05 % (3372852)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=2666339344:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.52/2.05 % (3372855)lrs+10_1_sil=8000:sp=occurrence:random_seed=3430019128:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.52/2.05 % (3372854)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2549427512:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.52/2.05 % (3372857)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1586220339:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.52/2.05 % (3372856)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3532267172:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.52/2.05 % (3372856)Refutation not found, incomplete strategy
% 4.52/2.05 % (3372856)------------------------------
% 4.52/2.05 % (3372856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/2.05 % (3372856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/2.05 % (3372856)CaDiCaL version: 2.1.3
% 4.52/2.05 % (3372856)Termination reason: Refutation not found, incomplete strategy
% 4.52/2.05 % (3372856)Time elapsed: 0.002 s
% 4.52/2.05 % (3372856)Peak memory usage: 87 MB
% 4.52/2.05 % (3372855)Also succeeded, but the first one will report.
% 4.52/2.05 % (3372857)Also succeeded, but the first one will report.
% 4.52/2.05 % (3372858)Refutation found. Thanks to Tanya!
% 4.52/2.05 % SZS status Unsatisfiable for theBenchmark
% 4.52/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 4.52/2.05 % (3372858)------------------------------
% 4.52/2.05 % (3372858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/2.05 % (3372858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/2.05 % (3372858)CaDiCaL version: 2.1.3
% 4.52/2.05 % (3372858)Termination reason: Refutation
% 4.52/2.05 % (3372858)Time elapsed: 0.003 s
% 4.52/2.05 % (3372858)Peak memory usage: 89 MB
% 4.52/2.05 % (3372858)Instructions burned: 2 (million)
% 4.52/2.05 % (3372858)------------------------------
% 4.52/2.05 % (3372858)------------------------------
% 4.52/2.05 % (3372838)Success in time 0.51 s
% 4.52/2.05 % Vampire exiting
%------------------------------------------------------------------------------