%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA019-1 : 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 : n002.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 0.16s 1.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 211 ( 116 ~; 95 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 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(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] :
( 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(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(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(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(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(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(d,c),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_DC) ).
fof(f34,plain,
! [X0] :
( ~ holds(holding(d),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f7,f31]) ).
fof(f35,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) ),
inference(resolution,[],[f34,f2]) ).
fof(f36,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0) ),
inference(forward_subsumption_resolution,[],[f35,f21]) ).
fof(f38,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,d) ),
inference(resolution,[],[f36,f5]) ).
fof(f40,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f38,f19]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(clear(d),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) ),
inference(resolution,[],[f40,f6]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(c),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,[],[f41,f2]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ holds(clear(d),do(pickup(X0),X2))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table)
| ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ differ(d,X1) ),
inference(resolution,[],[f44,f10]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ holds(clear(X0),do(pickup(X1),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ differ(X1,table)
| ~ holds(clear(c),do(putdown(X1,X0),do(pickup(X1),X2)))
| ~ differ(d,X0)
| ~ holds(on(X1,d),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
inference(resolution,[],[f45,f3]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ holds(clear(c),do(putdown(X1,X0),do(pickup(X1),X2)))
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ differ(X1,table)
| ~ holds(clear(X0),do(pickup(X1),X2))
| ~ differ(d,X0)
| ~ holds(on(X1,d),X2) ),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f67,plain,
! [X0,X1] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table)
| ~ holds(clear(X1),do(pickup(c),X0))
| ~ differ(d,X1)
| ~ holds(on(c,d),X0)
| ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(clear(X1),do(pickup(c),X0)) ),
inference(resolution,[],[f56,f8]) ).
fof(f68,plain,
! [X0,X1] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table)
| ~ holds(clear(X1),do(pickup(c),X0))
| ~ differ(d,X1)
| ~ holds(on(c,d),X0)
| ~ holds(holding(c),do(pickup(c),X0)) ),
inference(duplicate_literal_removal,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(X1),do(pickup(c),X0))
| ~ differ(d,X1)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[],[f68,f20]) ).
fof(f70,plain,
! [X0,X1] :
( ~ holds(clear(c),X0)
| ~ holds(clear(X1),do(pickup(c),X0))
| ~ differ(d,X1)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f69,f2]) ).
fof(f71,plain,
! [X0,X1] :
( ~ holds(clear(c),X0)
| ~ holds(clear(X1),do(pickup(c),X0))
| ~ differ(d,X1)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ~ differ(d,X1)
| ~ holds(clear(X1),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[],[f71,f20]) ).
fof(f76,plain,
! [X0] :
( ~ holds(clear(table),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f72,f21]) ).
fof(f78,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f76,f30]) ).
fof(f101,plain,
( ~ holds(on(c,d),s0)
| ~ holds(clear(c),s0) ),
inference(resolution,[],[f78,f29]) ).
fof(f102,plain,
~ holds(clear(c),s0),
inference(forward_subsumption_resolution,[],[f101,f24]) ).
fof(f103,plain,
$false,
inference(forward_subsumption_resolution,[],[f102,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA019-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:12:22 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.16/1.50 % (3940694)Input is clausal, will run a generic CNF schedule.
% 0.16/1.50 % (3940703)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1346323692:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.16/1.50 % (3940703)Refutation not found, incomplete strategy
% 0.16/1.50 % (3940703)------------------------------
% 0.16/1.50 % (3940703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (3940703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (3940703)CaDiCaL version: 2.1.3
% 0.16/1.50 % (3940703)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.50 % (3940703)Time elapsed: 0.001 s
% 0.16/1.50 % (3940703)Peak memory usage: 87 MB
% 0.16/1.50 % (3940705)dis-21_1_sil=8000:lcm=predicate:random_seed=182810293: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)
% 0.16/1.50 % (3940701)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4092079273:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.16/1.50 % (3940699)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=3498785784:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.16/1.50 % (3940700)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1173552214:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.16/1.50 % (3940702)lrs+10_1_sil=8000:sp=occurrence:random_seed=2963888335:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.16/1.50 % (3940704)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2260062996:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.16/1.50 % (3940702)Refutation not found, incomplete strategy
% 0.16/1.50 % (3940702)------------------------------
% 0.16/1.50 % (3940702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (3940702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (3940702)CaDiCaL version: 2.1.3
% 0.16/1.50 % (3940702)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.50 % (3940702)Time elapsed: 0.001 s
% 0.16/1.50 % (3940702)Peak memory usage: 87 MB
% 0.16/1.50 % (3940702)Instructions burned: 1 (million)
% 0.16/1.50 % (3940704)First to succeed.
% 0.16/1.50 % (3940704)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3940694"
% 0.16/1.50 % (3940705)Also succeeded, but the first one will report.
% 0.16/1.50 % (3940703)------------------------------
% 0.16/1.50 % (3940703)------------------------------
% 0.16/1.50 % (3940702)------------------------------
% 0.16/1.50 % (3940702)------------------------------
% 0.16/1.50 % (3940713)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=73622933:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.16/1.50 % (3940713)Also succeeded, but the first one will report.
% 0.16/1.50 % (3940704)Refutation found. Thanks to Tanya!
% 0.16/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50 % (3940704)------------------------------
% 0.16/1.50 % (3940704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (3940704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (3940704)CaDiCaL version: 2.1.3
% 0.16/1.50 % (3940704)Termination reason: Refutation
% 0.16/1.50 % (3940704)Time elapsed: 0.005 s
% 0.16/1.50 % (3940704)Peak memory usage: 88 MB
% 0.16/1.50 % (3940704)Instructions burned: 6 (million)
% 0.16/1.50 % (3940704)------------------------------
% 0.16/1.50 % (3940704)------------------------------
% 0.16/1.50 % (3940694)Success in time 0.441 s
% 0.16/1.50 % Vampire exiting
%------------------------------------------------------------------------------