%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA017-1 : 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 : n018.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 5.89s 2.23s
% Output : Refutation 5.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 12 unt; 2 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 41 ~; 31 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( holds(holding(X0),do(pickup(X0),X1))
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| ~ differ(X0,table) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).
fof(f5,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(pickup(X1),X2))
| ~ holds(clear(X0),X2)
| ~ differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).
fof(f7,axiom,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
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(on(a,c),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_AC) ).
fof(f34,plain,
! [X0] :
( ~ holds(holding(a),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f7,f31]) ).
fof(f35,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table) ),
inference(resolution,[],[f34,f2]) ).
fof(f36,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(forward_subsumption_resolution,[],[f35,f15]) ).
fof(f38,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,a) ),
inference(resolution,[],[f36,f5]) ).
fof(f41,definition,
( spl0_1
<=> differ(c,a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f43,plain,
( ~ differ(c,a)
| spl0_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f45,definition,
( spl0_2
<=> ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f46,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f38,f45,f41]) ).
fof(f48,plain,
( ~ differ(a,c)
| spl0_1 ),
inference(resolution,[],[f43,f11]) ).
fof(f49,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f48,f13]) ).
fof(f50,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f49]) ).
fof(f52,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(a),s0)
| ~ spl0_2 ),
inference(resolution,[],[f46,f29]) ).
fof(f53,plain,
( ~ holds(clear(a),s0)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f52,f28]) ).
fof(f54,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f53,f26]) ).
fof(f55,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f54]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f47]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f50]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f55]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f56,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PLA017-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n018.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 22:12:09 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.52 Running first-order theorem proving
% 0.25/0.52 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
% 5.89/2.23 % (2783307)Input is clausal, will run a generic CNF schedule.
% 5.89/2.23 % (2783312)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=3144154725:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.89/2.23 % (2783313)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3704673115:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.89/2.23 % (2783314)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=490217103:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.89/2.23 % (2783317)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2692252569:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.89/2.23 % (2783318)dis-21_1_sil=8000:lcm=predicate:random_seed=1457235693: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)
% 5.89/2.23 % (2783316)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2823785300:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.89/2.23 % (2783315)lrs+10_1_sil=8000:sp=occurrence:random_seed=351528679:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.89/2.23 % (2783316)Refutation not found, incomplete strategy
% 5.89/2.23 % (2783316)------------------------------
% 5.89/2.23 % (2783316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/2.23 % (2783316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/2.23 % (2783316)CaDiCaL version: 2.1.3
% 5.89/2.23 % (2783316)Termination reason: Refutation not found, incomplete strategy
% 5.89/2.23 % (2783316)Time elapsed: 0.002 s
% 5.89/2.23 % (2783316)Peak memory usage: 87 MB
% 5.89/2.23 % (2783315)Refutation not found, incomplete strategy
% 5.89/2.23 % (2783315)------------------------------
% 5.89/2.23 % (2783315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/2.23 % (2783315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/2.23 % (2783315)CaDiCaL version: 2.1.3
% 5.89/2.23 % (2783315)Termination reason: Refutation not found, incomplete strategy
% 5.89/2.23 % (2783315)Time elapsed: 0.002 s
% 5.89/2.23 % (2783315)Peak memory usage: 87 MB
% 5.89/2.23 % (2783315)Instructions burned: 1 (million)
% 5.89/2.23 % (2783317)First to succeed.
% 5.89/2.23 % (2783317)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2783307"
% 5.89/2.23 % (2783318)Also succeeded, but the first one will report.
% 5.89/2.23 % (2783315)------------------------------
% 5.89/2.23 % (2783315)------------------------------
% 5.89/2.23 % (2783316)------------------------------
% 5.89/2.23 % (2783316)------------------------------
% 5.89/2.23 % (2783317)Refutation found. Thanks to Tanya!
% 5.89/2.23 % SZS status Unsatisfiable for theBenchmark
% 5.89/2.23 % SZS output start Proof for theBenchmark
% See solution above
% 5.89/2.24 % (2783317)------------------------------
% 5.89/2.24 % (2783317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/2.24 % (2783317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/2.24 % (2783317)CaDiCaL version: 2.1.3
% 5.89/2.24 % (2783317)Termination reason: Refutation
% 5.89/2.24 % (2783317)Time elapsed: 0.004 s
% 5.89/2.24 % (2783317)Peak memory usage: 89 MB
% 5.89/2.24 % (2783317)Instructions burned: 2 (million)
% 5.89/2.24 % (2783317)------------------------------
% 5.89/2.24 % (2783317)------------------------------
% 5.89/2.24 % (2783307)Success in time 0.679 s
% 5.89/2.24 % Vampire exiting
%------------------------------------------------------------------------------