%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA005-2 : 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 : n003.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 4.09s 1.47s
% Output : Refutation 4.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 28
% Syntax : Number of formulae : 74 ( 24 unt; 4 def)
% Number of atoms : 182 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 228 ( 120 ~; 104 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 64 !; 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] :
( ~ 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(f4,axiom,
! [X2,X3,X0,X1] :
( ~ differ(X0,X2)
| ~ holds(on(X0,X1),X3)
| holds(on(X0,X1),do(pickup(X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_3) ).
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(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] :
( ~ 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(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).
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(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(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
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(d,b),on(c,a)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_DB_AC) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(d,b),X0)
| ~ holds(on(c,a),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f36,plain,
! [X0] :
( holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f5,f13]) ).
fof(f38,plain,
! [X0] :
( holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f5,f16]) ).
fof(f39,plain,
! [X0] :
( holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f5,f17]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ differ(X3,X0)
| holds(clear(X0),do(putdown(X2,X3),X1))
| ~ holds(clear(X0),X1) ),
inference(resolution,[],[f10,f11]) ).
fof(f65,plain,
! [X0,X1] :
( holds(on(c,X0),do(pickup(d),X1))
| ~ holds(on(c,X0),X1) ),
inference(resolution,[],[f4,f19]) ).
fof(f71,plain,
! [X0] :
( holds(holding(c),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f20]) ).
fof(f72,plain,
! [X0] :
( holds(holding(d),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f21]) ).
fof(f74,plain,
! [X0] :
( ~ holds(on(c,a),do(putdown(d,b),X0))
| ~ holds(clear(b),X0)
| ~ holds(holding(d),X0) ),
inference(resolution,[],[f7,f32]) ).
fof(f77,plain,
! [X0] :
( ~ holds(on(c,a),X0)
| ~ holds(holding(d),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f74,f9]) ).
fof(f80,plain,
! [X0] :
( ~ holds(holding(d),do(pickup(d),X0))
| ~ holds(on(c,a),X0)
| ~ holds(clear(b),do(pickup(d),X0)) ),
inference(resolution,[],[f65,f77]) ).
fof(f96,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(on(c,a),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f72,f80]) ).
fof(f97,plain,
! [X0] :
( ~ holds(on(c,a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f96,f39]) ).
fof(f102,plain,
! [X0,X1] :
( holds(clear(b),do(putdown(X0,a),X1))
| ~ holds(clear(b),X1) ),
inference(resolution,[],[f46,f12]) ).
fof(f104,plain,
! [X0,X1] :
( holds(clear(d),do(putdown(X0,a),X1))
| ~ holds(clear(d),X1) ),
inference(resolution,[],[f46,f14]) ).
fof(f112,plain,
! [X0] :
( ~ holds(clear(d),do(putdown(c,a),X0))
| ~ holds(empty,do(putdown(c,a),X0))
| ~ holds(clear(b),do(putdown(c,a),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f97,f7]) ).
fof(f202,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(c,a),X0))
| ~ holds(empty,do(putdown(c,a),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f112,f104]) ).
fof(f217,plain,
! [X0] :
( ~ holds(empty,do(putdown(c,a),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f202,f102]) ).
fof(f254,plain,
! [X0] :
( ~ holds(holding(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f217,f6]) ).
fof(f255,plain,
! [X0] :
( ~ holds(holding(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0) ),
inference(duplicate_literal_removal,[],[f254]) ).
fof(f259,plain,
! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f255,f71]) ).
fof(f349,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),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,[],[f259,f3]) ).
fof(f350,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0) ),
inference(duplicate_literal_removal,[],[f349]) ).
fof(f457,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f350,f38]) ).
fof(f461,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f457,f36]) ).
fof(f471,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f461,f24]) ).
fof(f473,definition,
( spl0_1
<=> holds(clear(a),s0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f474,plain,
( ~ holds(clear(a),s0)
| spl0_1 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f476,definition,
( spl0_2
<=> holds(clear(b),s0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f477,plain,
( ~ holds(clear(b),s0)
| spl0_2 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,definition,
( spl0_3
<=> holds(clear(c),s0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f480,plain,
( ~ holds(clear(c),s0)
| spl0_3 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,definition,
( spl0_4
<=> holds(empty,s0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f483,plain,
( ~ holds(empty,s0)
| spl0_4 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f484,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f471,f482,f479,f476,f473]) ).
fof(f485,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f474,f26]) ).
fof(f486,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f487,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f477,f27]) ).
fof(f488,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f489,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f480,f28]) ).
fof(f490,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f491,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f483,f29]) ).
fof(f492,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f491]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f484]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f486]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f488]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f490]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f492]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s4,s3,s2]) ).
fof(f493,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA005-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:11:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 4.09/1.47 % (966541)Input is clausal, will run a generic CNF schedule.
% 4.09/1.47 % (966644)lrs+10_1_sil=8000:sp=occurrence:random_seed=1746088676:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.09/1.47 % (966644)Refutation not found, incomplete strategy
% 4.09/1.47 % (966644)------------------------------
% 4.09/1.47 % (966644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.47 % (966644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.47 % (966644)CaDiCaL version: 2.1.3
% 4.09/1.47 % (966644)Termination reason: Refutation not found, incomplete strategy
% 4.09/1.47 % (966644)Time elapsed: 0.001 s
% 4.09/1.47 % (966644)Peak memory usage: 87 MB
% 4.09/1.47 % (966644)Instructions burned: 1 (million)
% 4.09/1.47 % (966641)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=3288543024:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.09/1.47 % (966647)dis-21_1_sil=8000:lcm=predicate:random_seed=1353122179: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)
% 4.09/1.47 % (966642)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3954380473:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.09/1.47 % (966645)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=708929779:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.09/1.47 % (966645)Refutation not found, incomplete strategy
% 4.09/1.47 % (966645)------------------------------
% 4.09/1.47 % (966645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.47 % (966645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.47 % (966645)CaDiCaL version: 2.1.3
% 4.09/1.47 % (966645)Termination reason: Refutation not found, incomplete strategy
% 4.09/1.47 % (966645)Time elapsed: 0.002 s
% 4.09/1.47 % (966645)Peak memory usage: 87 MB
% 4.09/1.47 % (966643)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3010172303:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.09/1.47 % (966647)First to succeed.
% 4.09/1.47 % (966647)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-966541"
% 4.09/1.47 % (966646)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2015531934:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.09/1.47 % (966646)Also succeeded, but the first one will report.
% 4.09/1.47 % (966644)------------------------------
% 4.09/1.47 % (966644)------------------------------
% 4.09/1.47 % (966645)------------------------------
% 4.09/1.47 % (966645)------------------------------
% 4.09/1.47 % (966689)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=105979953:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 4.09/1.47 % (966647)Refutation found. Thanks to Tanya!
% 4.09/1.47 % SZS status Unsatisfiable for theBenchmark
% 4.09/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 4.98/1.77 % (966647)------------------------------
% 4.98/1.77 % (966647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.77 % (966647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.77 % (966647)CaDiCaL version: 2.1.3
% 4.98/1.77 % (966647)Termination reason: Refutation
% 4.98/1.77 % (966647)Time elapsed: 0.031 s
% 4.98/1.77 % (966647)Peak memory usage: 89 MB
% 4.98/1.77 % (966647)Instructions burned: 29 (million)
% 4.98/1.77 % (966647)------------------------------
% 4.98/1.77 % (966647)------------------------------
% 4.98/1.77 % (966541)Success in time 0.613 s
% 4.98/1.77 % Vampire exiting
%------------------------------------------------------------------------------