%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA007-1 : 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 : n015.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 12:27:41 PM UTC 2026
% Result : Unsatisfiable 3.47s 1.47s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 56 ( 19 unt; 3 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 155 ( 82 ~; 70 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ differ(X0,table)
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| holds(holding(X0),do(pickup(X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).
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(f5,axiom,
! [X2,X0,X1] :
( ~ differ(X0,X1)
| ~ holds(clear(X0),X2)
| holds(clear(X0),do(pickup(X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).
fof(f6,axiom,
! [X2,X0,X1] :
( holds(empty,do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_1) ).
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(f10,axiom,
! [X2,X3,X0,X1] :
( ~ differ(X0,X2)
| ~ holds(clear(X0),X3)
| holds(clear(X0),do(putdown(X1,X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_5) ).
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(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_d) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_table) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_d_table) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
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(f30,axiom,
! [X0] : holds(clear(table),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clear_table) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(on(a,d),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_AD) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ differ(X2,X0)
| holds(clear(X0),do(pickup(X2),X1))
| ~ holds(clear(X0),X1) ),
inference(resolution,[],[f5,f11]) ).
fof(f35,plain,
! [X0] :
( holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f5,f13]) ).
fof(f45,plain,
! [X0,X1] :
( holds(clear(a),do(putdown(X1,table),X0))
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f10,f15]) ).
fof(f54,plain,
! [X0,X1] :
( holds(clear(d),do(putdown(X1,table),X0))
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f10,f21]) ).
fof(f67,plain,
! [X0] :
( holds(holding(a),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f15]) ).
fof(f69,plain,
! [X0] :
( holds(holding(c),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f20]) ).
fof(f71,plain,
! [X0] :
( ~ holds(holding(a),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f7,f31]) ).
fof(f80,plain,
! [X0] :
( holds(clear(d),do(pickup(a),X0))
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f32,f14]) ).
fof(f87,plain,
! [X0] :
( ~ holds(clear(d),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f67,f71]) ).
fof(f90,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f80,f87]) ).
fof(f95,plain,
! [X0,X1] :
( ~ holds(clear(a),do(putdown(X0,table),X1))
| ~ holds(empty,do(putdown(X0,table),X1))
| ~ holds(clear(d),X1) ),
inference(resolution,[],[f90,f54]) ).
fof(f123,plain,
! [X0,X1] :
( ~ holds(empty,do(putdown(X0,table),X1))
| ~ holds(clear(d),X1)
| ~ holds(clear(a),X1) ),
inference(resolution,[],[f95,f45]) ).
fof(f125,plain,
! [X0,X1] :
( ~ holds(holding(X1),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(table),X0) ),
inference(resolution,[],[f123,f6]) ).
fof(f129,plain,
! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(table),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f125,f69]) ).
fof(f207,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(table),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f129,f3]) ).
fof(f208,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(table),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f264,plain,
! [X0] :
( ~ holds(clear(table),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f208,f35]) ).
fof(f351,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f264,f30]) ).
fof(f353,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f351,f24]) ).
fof(f361,definition,
( spl0_1
<=> holds(clear(a),s0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f362,plain,
( ~ holds(clear(a),s0)
| spl0_1 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f364,definition,
( spl0_2
<=> holds(clear(c),s0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f365,plain,
( ~ holds(clear(c),s0)
| spl0_2 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f367,definition,
( spl0_3
<=> holds(empty,s0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f368,plain,
( ~ holds(empty,s0)
| spl0_3 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f369,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f353,f367,f364,f361]) ).
fof(f370,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f362,f26]) ).
fof(f371,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f372,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f365,f28]) ).
fof(f373,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f374,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f368,f29]) ).
fof(f375,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f374]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f369]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f371]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f373]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f375]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3,s2]) ).
fof(f376,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA007-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n015.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 22:12:31 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 3.47/1.47 % (2064384)Input is clausal, will run a generic CNF schedule.
% 3.47/1.47 % (2064443)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=969656714:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.47 % (2064443)Refutation not found, incomplete strategy
% 3.47/1.47 % (2064443)------------------------------
% 3.47/1.47 % (2064443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.47 % (2064443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.47 % (2064443)CaDiCaL version: 2.1.3
% 3.47/1.47 % (2064443)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.47 % (2064443)Time elapsed: 0.001 s
% 3.47/1.47 % (2064443)Peak memory usage: 87 MB
% 3.47/1.47 % (2064438)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=2515500747:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.47 % (2064446)dis-21_1_sil=8000:lcm=predicate:random_seed=2847968674: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)
% 3.47/1.47 % (2064439)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2165601991:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.47 % (2064441)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3498547596:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.47 % (2064444)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1626306384:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.47 % (2064446)First to succeed.
% 3.47/1.47 % (2064446)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2064384"
% 3.47/1.47 % (2064444)Also succeeded, but the first one will report.
% 3.47/1.47 % (2064442)lrs+10_1_sil=8000:sp=occurrence:random_seed=555130788:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.47 % (2064442)Refutation not found, incomplete strategy
% 3.47/1.47 % (2064442)------------------------------
% 3.47/1.47 % (2064442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.47 % (2064442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.47 % (2064442)CaDiCaL version: 2.1.3
% 3.47/1.47 % (2064442)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.47 % (2064442)Time elapsed: 0.001 s
% 3.47/1.47 % (2064442)Peak memory usage: 87 MB
% 3.47/1.47 % (2064442)Instructions burned: 1 (million)
% 3.47/1.47 % (2064443)------------------------------
% 3.47/1.47 % (2064443)------------------------------
% 3.47/1.47 % (2064494)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=459826578:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.47/1.47 % (2064494)Refutation not found, incomplete strategy
% 3.47/1.47 % (2064494)------------------------------
% 3.47/1.47 % (2064494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.47 % (2064494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.47 % (2064494)CaDiCaL version: 2.1.3
% 3.47/1.47 % (2064494)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.47 % (2064494)Time elapsed: 0.001 s
% 3.47/1.47 % (2064494)Peak memory usage: 88 MB
% 3.47/1.47 % (2064494)Instructions burned: 1 (million)
% 3.47/1.47 % (2064442)------------------------------
% 3.47/1.47 % (2064442)------------------------------
% 3.47/1.47 % (2064446)Refutation found. Thanks to Tanya!
% 3.47/1.47 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.47 % (2064446)------------------------------
% 3.47/1.47 % (2064446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.47 % (2064446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.47 % (2064446)CaDiCaL version: 2.1.3
% 3.47/1.47 % (2064446)Termination reason: Refutation
% 3.47/1.47 % (2064446)Time elapsed: 0.012 s
% 3.47/1.47 % (2064446)Peak memory usage: 89 MB
% 3.47/1.47 % (2064446)Instructions burned: 17 (million)
% 3.47/1.47 % (2064446)------------------------------
% 3.47/1.47 % (2064446)------------------------------
% 3.47/1.47 % (2064384)Success in time 0.42 s
% 3.47/1.47 % Vampire exiting
%------------------------------------------------------------------------------