TSTP Solution File: PLA013-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PLA013-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:08:31 EDT 2022
% Result : Unsatisfiable 1.56s 0.55s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 20
% Syntax : Number of formulae : 48 ( 11 unt; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 281 ( 154 ~; 127 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,plain,
$false,
inference(unit_resulting_resolution,[],[f29,f28,f26,f27,f132]) ).
fof(f132,plain,
! [X1] :
( ~ holds(empty,X1)
| ~ holds(clear(b),X1)
| ~ holds(clear(a),X1)
| ~ holds(clear(c),X1) ),
inference(subsumption_resolution,[],[f130,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_c) ).
fof(f130,plain,
! [X1] :
( ~ holds(empty,X1)
| ~ holds(clear(b),X1)
| ~ holds(clear(c),X1)
| ~ holds(clear(a),X1)
| ~ differ(a,c) ),
inference(resolution,[],[f128,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( holds(clear(X0),do(pickup(X3),X2))
| ~ holds(clear(X0),X2)
| ~ differ(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_4) ).
fof(f128,plain,
! [X1] :
( ~ holds(clear(a),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),X1) ),
inference(subsumption_resolution,[],[f126,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_c) ).
fof(f126,plain,
! [X1] :
( ~ holds(clear(b),X1)
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(clear(a),do(pickup(c),X1))
| ~ differ(b,c) ),
inference(resolution,[],[f124,f5]) ).
fof(f124,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(c),X0)) ),
inference(subsumption_resolution,[],[f123,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_table) ).
fof(f123,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ differ(c,table)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0)) ),
inference(duplicate_literal_removal,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ~ differ(c,table)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f121,f2]) ).
fof(f2,axiom,
! [X2,X0] :
( holds(holding(X0),do(pickup(X0),X2))
| ~ differ(X0,table)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_1) ).
fof(f121,plain,
! [X1] :
( ~ holds(holding(c),do(pickup(c),X1))
| ~ holds(empty,X1)
| ~ holds(clear(a),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(clear(b),do(pickup(c),X1)) ),
inference(duplicate_literal_removal,[],[f120]) ).
fof(f120,plain,
! [X1] :
( ~ holds(clear(a),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(holding(c),do(pickup(c),X1))
| ~ holds(clear(b),do(pickup(c),X1))
| ~ holds(clear(b),do(pickup(c),X1))
| ~ holds(empty,X1) ),
inference(resolution,[],[f118,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_3) ).
fof(f118,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0) ),
inference(subsumption_resolution,[],[f117,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_b) ).
fof(f117,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ differ(a,b)
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f116,f10]) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( holds(clear(X3),do(putdown(X0,X1),X2))
| ~ holds(clear(X3),X2)
| ~ differ(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_5) ).
fof(f116,plain,
! [X0] :
( ~ holds(clear(a),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0))) ),
inference(subsumption_resolution,[],[f115,f20]) ).
fof(f115,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ differ(c,table)
| ~ holds(clear(a),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0))) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ differ(c,table)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(a),do(putdown(c,b),do(pickup(c),X0))) ),
inference(resolution,[],[f66,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X0),X2)
| ~ differ(X0,table)
| ~ holds(empty,X2)
| ~ holds(clear(X1),do(pickup(X0),X2)) ),
inference(resolution,[],[f7,f2]) ).
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/sandbox2/benchmark/theBenchmark.p',putdown_2) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ holds(on(c,b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(empty,X2)
| ~ differ(X0,table)
| ~ holds(clear(X0),X2)
| ~ holds(clear(a),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)) ),
inference(resolution,[],[f50,f2]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(clear(a),do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(on(c,b),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) ),
inference(resolution,[],[f49,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( holds(empty,do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_1) ).
fof(f49,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(on(c,b),X0)
| ~ holds(clear(c),X0) ),
inference(subsumption_resolution,[],[f48,f13]) ).
fof(f48,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,c)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f46,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f46,plain,
! [X1] :
( ~ differ(c,a)
| ~ holds(clear(c),X1)
| ~ holds(on(c,b),X1)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1) ),
inference(resolution,[],[f44,f5]) ).
fof(f44,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(on(c,b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(subsumption_resolution,[],[f43,f13]) ).
fof(f43,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ differ(a,c) ),
inference(resolution,[],[f42,f11]) ).
fof(f42,plain,
! [X0] :
( ~ differ(c,a)
| ~ holds(on(c,b),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(empty,X0) ),
inference(resolution,[],[f41,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( holds(on(X0,X1),do(pickup(X3),X2))
| ~ holds(on(X0,X1),X2)
| ~ differ(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_3) ).
fof(f41,plain,
! [X0] :
( ~ holds(on(c,b),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(empty,X0) ),
inference(subsumption_resolution,[],[f38,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_table) ).
fof(f38,plain,
! [X0] :
( ~ holds(on(c,b),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),do(pickup(a),X0))
| ~ differ(a,table) ),
inference(resolution,[],[f37,f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ holds(on(a,c),do(putdown(X1,X2),X0))
| ~ holds(on(c,b),X0) ),
inference(resolution,[],[f9,f32]) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(on(a,c),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(a,c),on(c,b)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ACB) ).
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( holds(on(X0,X1),do(putdown(X3,X4),X2))
| ~ holds(on(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_4) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state6) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state5) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PLA013-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 10:05:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 % (7009)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52 % (7000)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.54 % (7009)First to succeed.
% 1.56/0.55 % (7009)Refutation found. Thanks to Tanya!
% 1.56/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.55 % (7009)------------------------------
% 1.56/0.55 % (7009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (7009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (7009)Termination reason: Refutation
% 1.56/0.55
% 1.56/0.55 % (7009)Memory used [KB]: 1535
% 1.56/0.55 % (7009)Time elapsed: 0.032 s
% 1.56/0.55 % (7009)Instructions burned: 17 (million)
% 1.56/0.55 % (7009)------------------------------
% 1.56/0.55 % (7009)------------------------------
% 1.56/0.55 % (6990)Success in time 0.201 s
%------------------------------------------------------------------------------