%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA011-2 : 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 : n001.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 12:27:42 PM UTC 2026
% Result : Unsatisfiable 2.68s 1.31s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 63 ( 16 unt; 2 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 338 ( 183 ~; 153 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
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(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(f4,axiom,
! [X2,X3,X0,X1] :
( holds(on(X0,X1),do(pickup(X2),X3))
| ~ holds(on(X0,X1),X3)
| ~ differ(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_3) ).
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(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(holding(X0),X2)
| holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_3) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( holds(on(X0,X1),do(putdown(X2,X3),X4))
| ~ holds(on(X0,X1),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_4) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( holds(clear(X0),do(putdown(X1,X2),X3))
| ~ holds(clear(X0),X3)
| ~ differ(X0,X2) ),
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(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_d) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_d) ).
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(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
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(and(on(c,b),on(d,c)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_DCB) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(d,c),X0)
| ~ holds(on(c,b),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f37,plain,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
inference(resolution,[],[f7,f2]) ).
fof(f39,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table)
| ~ holds(on(c,b),do(putdown(d,c),do(pickup(d),X0))) ),
inference(resolution,[],[f37,f32]) ).
fof(f40,plain,
! [X0] :
( ~ holds(on(c,b),do(putdown(d,c),do(pickup(d),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),do(pickup(d),X0)) ),
inference(forward_subsumption_resolution,[],[f39,f21]) ).
fof(f42,plain,
! [X0] :
( ~ holds(on(c,b),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(empty,X0) ),
inference(resolution,[],[f40,f9]) ).
fof(f52,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(on(c,b),X0)
| ~ differ(c,d) ),
inference(resolution,[],[f42,f4]) ).
fof(f53,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,b),X0) ),
inference(forward_subsumption_resolution,[],[f52,f19]) ).
fof(f62,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,b),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,d) ),
inference(resolution,[],[f53,f5]) ).
fof(f64,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(on(c,b),X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f62,f19]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(on(c,b),do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(clear(d),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) ),
inference(resolution,[],[f64,f6]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ holds(on(c,b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
inference(resolution,[],[f69,f2]) ).
fof(f87,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f82,f37]) ).
fof(f89,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f90,plain,
! [X0] :
( ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f89,f20]) ).
fof(f101,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),do(pickup(c),X0))
| ~ differ(d,b) ),
inference(resolution,[],[f90,f10]) ).
fof(f103,definition,
( spl0_7
<=> differ(d,b) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f105,plain,
( ~ differ(d,b)
| spl0_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f107,definition,
( spl0_8
<=> ! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f108,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0)) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f101,f107,f103]) ).
fof(f112,plain,
( ~ differ(b,d)
| spl0_7 ),
inference(resolution,[],[f105,f11]) ).
fof(f113,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f112,f17]) ).
fof(f114,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f116,plain,
( ! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) )
| ~ spl0_8 ),
inference(resolution,[],[f108,f3]) ).
fof(f118,plain,
( ! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f116]) ).
fof(f145,plain,
( ! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0)
| ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0)) )
| ~ spl0_8 ),
inference(resolution,[],[f118,f8]) ).
fof(f146,plain,
( ! [X0] :
( ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f170,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) )
| ~ spl0_8 ),
inference(resolution,[],[f146,f2]) ).
fof(f171,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f170]) ).
fof(f172,plain,
( ! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f171,f20]) ).
fof(f191,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c) )
| ~ spl0_8 ),
inference(resolution,[],[f172,f5]) ).
fof(f193,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f191,f16]) ).
fof(f196,plain,
( ~ holds(on(c,d),s0)
| ~ holds(clear(c),s0)
| ~ holds(clear(b),s0)
| ~ spl0_8 ),
inference(resolution,[],[f193,f29]) ).
fof(f197,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(b),s0)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f196,f24]) ).
fof(f198,plain,
( ~ holds(clear(b),s0)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f197,f28]) ).
fof(f199,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f198,f27]) ).
fof(f200,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f199]) ).
cnf(s5,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f109]) ).
cnf(s6,plain,
spl0_7,
inference(sat_conversion,[],[f114]) ).
cnf(s11,plain,
~ spl0_8,
inference(sat_conversion,[],[f200]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s5,s11,s6]) ).
fof(f201,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA011-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 22:15:32 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 2.68/1.31 % (4013981)Input is clausal, will run a generic CNF schedule.
% 2.68/1.31 % (4013988)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=616264924:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.68/1.31 % (4013989)lrs+10_1_sil=8000:sp=occurrence:random_seed=2603834002:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.68/1.31 % (4013987)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4168755277:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.68/1.31 % (4013990)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=971531540:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.68/1.31 % (4013986)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=573579649:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.68/1.31 % (4013990)Refutation not found, incomplete strategy
% 2.68/1.31 % (4013990)------------------------------
% 2.68/1.31 % (4013990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.31 % (4013990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.31 % (4013990)CaDiCaL version: 2.1.3
% 2.68/1.31 % (4013990)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.31 % (4013990)Time elapsed: 0.001 s
% 2.68/1.31 % (4013990)Peak memory usage: 87 MB
% 2.68/1.31 % (4013989)Refutation not found, incomplete strategy
% 2.68/1.31 % (4013989)------------------------------
% 2.68/1.31 % (4013989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.31 % (4013989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.31 % (4013989)CaDiCaL version: 2.1.3
% 2.68/1.31 % (4013989)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.31 % (4013989)Time elapsed: 0.001 s
% 2.68/1.31 % (4013989)Peak memory usage: 87 MB
% 2.68/1.31 % (4013989)Instructions burned: 1 (million)
% 2.68/1.31 % (4013991)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1766269862:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.68/1.31 % (4013992)dis-21_1_sil=8000:lcm=predicate:random_seed=937233722: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)
% 2.68/1.31 % (4013991)First to succeed.
% 2.68/1.31 % (4013991)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4013981"
% 2.68/1.31 % (4013992)Also succeeded, but the first one will report.
% 2.68/1.31 % (4013990)------------------------------
% 2.68/1.31 % (4013990)------------------------------
% 2.68/1.31 % (4013989)------------------------------
% 2.68/1.31 % (4013989)------------------------------
% 2.68/1.31 % (4013991)Refutation found. Thanks to Tanya!
% 2.68/1.31 % SZS status Unsatisfiable for theBenchmark
% 2.68/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50 % (4013991)------------------------------
% 0.16/1.50 % (4013991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (4013991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (4013991)CaDiCaL version: 2.1.3
% 0.16/1.50 % (4013991)Termination reason: Refutation
% 0.16/1.50 % (4013991)Time elapsed: 0.009 s
% 0.16/1.50 % (4013991)Peak memory usage: 89 MB
% 0.16/1.50 % (4013991)Instructions burned: 12 (million)
% 0.16/1.50 % (4013991)------------------------------
% 0.16/1.50 % (4013991)------------------------------
% 0.16/1.50 % (4013981)Success in time 0.448 s
% 0.16/1.50 % Vampire exiting
%------------------------------------------------------------------------------