TSTP Solution File: PLA013-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n019.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 18:09:17 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 23
% Syntax : Number of formulae : 65 ( 19 unt; 0 def)
% Number of atoms : 172 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 240 ( 133 ~; 107 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(subsumption_resolution,[],[f155,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
fof(f155,plain,
~ differ(a,c),
inference(subsumption_resolution,[],[f154,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
fof(f154,plain,
( ~ holds(clear(a),s0)
| ~ differ(a,c) ),
inference(resolution,[],[f152,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( holds(clear(X0),do(pickup(X3),X2))
| ~ holds(clear(X0),X2)
| ~ differ(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).
fof(f152,plain,
~ holds(clear(a),do(pickup(c),s0)),
inference(subsumption_resolution,[],[f151,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
fof(f151,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),do(pickup(c),s0)) ),
inference(subsumption_resolution,[],[f150,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
fof(f150,plain,
( ~ holds(clear(a),do(pickup(c),s0))
| ~ differ(b,c)
| ~ holds(clear(b),s0) ),
inference(resolution,[],[f148,f5]) ).
fof(f148,plain,
( ~ holds(clear(b),do(pickup(c),s0))
| ~ holds(clear(a),do(pickup(c),s0)) ),
inference(subsumption_resolution,[],[f147,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f147,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(a),do(pickup(c),s0))
| ~ holds(clear(b),do(pickup(c),s0)) ),
inference(subsumption_resolution,[],[f146,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f146,plain,
( ~ holds(empty,s0)
| ~ holds(clear(b),do(pickup(c),s0))
| ~ holds(clear(a),do(pickup(c),s0))
| ~ holds(clear(c),s0) ),
inference(subsumption_resolution,[],[f145,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_table) ).
fof(f145,plain,
( ~ holds(clear(b),do(pickup(c),s0))
| ~ holds(clear(a),do(pickup(c),s0))
| ~ differ(c,table)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0) ),
inference(resolution,[],[f143,f2]) ).
fof(f2,axiom,
! [X2,X0] :
( holds(holding(X0),do(pickup(X0),X2))
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2)
| ~ differ(X0,table) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).
fof(f143,plain,
( ~ holds(holding(c),do(pickup(c),s0))
| ~ holds(clear(a),do(pickup(c),s0))
| ~ holds(clear(b),do(pickup(c),s0)) ),
inference(duplicate_literal_removal,[],[f142]) ).
fof(f142,plain,
( ~ holds(clear(b),do(pickup(c),s0))
| ~ holds(holding(c),do(pickup(c),s0))
| ~ holds(clear(a),do(pickup(c),s0))
| ~ holds(clear(b),do(pickup(c),s0)) ),
inference(resolution,[],[f139,f8]) ).
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(f139,plain,
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),s0)))
| ~ holds(clear(b),do(pickup(c),s0))
| ~ holds(clear(a),do(pickup(c),s0)) ),
inference(subsumption_resolution,[],[f138,f38]) ).
fof(f38,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f138,plain,
( ~ differ(c,a)
| ~ holds(clear(b),do(pickup(c),s0))
| ~ holds(clear(a),do(pickup(c),s0))
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),s0))) ),
inference(resolution,[],[f136,f5]) ).
fof(f136,plain,
( ~ holds(clear(c),do(pickup(a),do(putdown(c,b),do(pickup(c),s0))))
| ~ holds(clear(b),do(pickup(c),s0))
| ~ holds(clear(a),do(pickup(c),s0)) ),
inference(subsumption_resolution,[],[f135,f20]) ).
fof(f135,plain,
( ~ differ(c,table)
| ~ holds(clear(c),do(pickup(a),do(putdown(c,b),do(pickup(c),s0))))
| ~ holds(clear(a),do(pickup(c),s0))
| ~ holds(clear(b),do(pickup(c),s0)) ),
inference(subsumption_resolution,[],[f134,f29]) ).
fof(f134,plain,
( ~ holds(empty,s0)
| ~ holds(clear(a),do(pickup(c),s0))
| ~ holds(clear(c),do(pickup(a),do(putdown(c,b),do(pickup(c),s0))))
| ~ differ(c,table)
| ~ holds(clear(b),do(pickup(c),s0)) ),
inference(subsumption_resolution,[],[f133,f28]) ).
fof(f133,plain,
( ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ differ(c,table)
| ~ holds(clear(b),do(pickup(c),s0))
| ~ holds(clear(a),do(pickup(c),s0))
| ~ holds(clear(c),do(pickup(a),do(putdown(c,b),do(pickup(c),s0)))) ),
inference(resolution,[],[f132,f2]) ).
fof(f132,plain,
( ~ holds(holding(c),do(pickup(c),s0))
| ~ holds(clear(c),do(pickup(a),do(putdown(c,b),do(pickup(c),s0))))
| ~ holds(clear(b),do(pickup(c),s0))
| ~ holds(clear(a),do(pickup(c),s0)) ),
inference(resolution,[],[f130,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/sandbox/benchmark/theBenchmark.p',putdown_1) ).
fof(f130,plain,
( ~ holds(empty,do(putdown(c,b),do(pickup(c),s0)))
| ~ holds(clear(c),do(pickup(a),do(putdown(c,b),do(pickup(c),s0))))
| ~ holds(clear(a),do(pickup(c),s0)) ),
inference(subsumption_resolution,[],[f129,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).
fof(f129,plain,
( ~ holds(clear(c),do(pickup(a),do(putdown(c,b),do(pickup(c),s0))))
| ~ differ(a,b)
| ~ holds(empty,do(putdown(c,b),do(pickup(c),s0)))
| ~ holds(clear(a),do(pickup(c),s0)) ),
inference(resolution,[],[f124,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/sandbox/benchmark/theBenchmark.p',putdown_5) ).
fof(f124,plain,
( ~ holds(clear(a),do(putdown(c,b),do(pickup(c),s0)))
| ~ holds(empty,do(putdown(c,b),do(pickup(c),s0)))
| ~ holds(clear(c),do(pickup(a),do(putdown(c,b),do(pickup(c),s0)))) ),
inference(subsumption_resolution,[],[f122,f38]) ).
fof(f122,plain,
( ~ holds(clear(c),do(pickup(a),do(putdown(c,b),do(pickup(c),s0))))
| ~ holds(clear(a),do(putdown(c,b),do(pickup(c),s0)))
| ~ holds(empty,do(putdown(c,b),do(pickup(c),s0)))
| ~ differ(c,a) ),
inference(resolution,[],[f113,f66]) ).
fof(f66,plain,
! [X0] :
( holds(sF0,do(putdown(a,c),do(pickup(a),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(clear(a),X0) ),
inference(subsumption_resolution,[],[f63,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f63,plain,
! [X0] :
( holds(sF0,do(putdown(a,c),do(pickup(a),X0)))
| ~ holds(clear(a),X0)
| ~ differ(a,table)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(a),X0)) ),
inference(superposition,[],[f55,f32]) ).
fof(f32,plain,
on(a,c) = sF0,
introduced(function_definition,[]) ).
fof(f55,plain,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(empty,X2)
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
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/sandbox/benchmark/theBenchmark.p',putdown_2) ).
fof(f113,plain,
! [X14,X12,X13] :
( ~ holds(sF0,do(putdown(X13,X14),do(pickup(X12),do(putdown(c,b),do(pickup(c),s0)))))
| ~ differ(c,X12) ),
inference(resolution,[],[f91,f47]) ).
fof(f47,plain,
! [X0] :
( ~ holds(sF1,X0)
| ~ holds(sF0,X0) ),
inference(subsumption_resolution,[],[f46,f35]) ).
fof(f35,plain,
! [X2] : ~ holds(sF2,X2),
inference(definition_folding,[],[f31,f34,f33,f32]) ).
fof(f33,plain,
on(c,b) = sF1,
introduced(function_definition,[]) ).
fof(f34,plain,
and(sF0,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(a,c),on(c,b)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ACB) ).
fof(f46,plain,
! [X0] :
( holds(sF2,X0)
| ~ holds(sF1,X0)
| ~ holds(sF0,X0) ),
inference(superposition,[],[f1,f34]) ).
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(f91,plain,
! [X3,X4,X5] :
( holds(sF1,do(putdown(X4,X5),do(pickup(X3),do(putdown(c,b),do(pickup(c),s0)))))
| ~ differ(c,X3) ),
inference(resolution,[],[f77,f50]) ).
fof(f50,plain,
! [X3,X4,X5] :
( ~ holds(sF1,X5)
| holds(sF1,do(putdown(X3,X4),X5)) ),
inference(superposition,[],[f9,f33]) ).
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/sandbox/benchmark/theBenchmark.p',putdown_4) ).
fof(f77,plain,
! [X0] :
( holds(sF1,do(pickup(X0),do(putdown(c,b),do(pickup(c),s0))))
| ~ differ(c,X0) ),
inference(resolution,[],[f75,f52]) ).
fof(f52,plain,
! [X2,X3] :
( ~ holds(sF1,X3)
| ~ differ(c,X2)
| holds(sF1,do(pickup(X2),X3)) ),
inference(superposition,[],[f4,f33]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( holds(on(X0,X1),do(pickup(X3),X2))
| ~ differ(X0,X3)
| ~ holds(on(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_3) ).
fof(f75,plain,
holds(sF1,do(putdown(c,b),do(pickup(c),s0))),
inference(subsumption_resolution,[],[f74,f27]) ).
fof(f74,plain,
( holds(sF1,do(putdown(c,b),do(pickup(c),s0)))
| ~ holds(clear(b),s0) ),
inference(subsumption_resolution,[],[f73,f28]) ).
fof(f73,plain,
( ~ holds(clear(c),s0)
| holds(sF1,do(putdown(c,b),do(pickup(c),s0)))
| ~ holds(clear(b),s0) ),
inference(resolution,[],[f71,f29]) ).
fof(f71,plain,
! [X1] :
( ~ holds(empty,X1)
| ~ holds(clear(b),X1)
| holds(sF1,do(putdown(c,b),do(pickup(c),X1)))
| ~ holds(clear(c),X1) ),
inference(subsumption_resolution,[],[f68,f16]) ).
fof(f68,plain,
! [X1] :
( ~ holds(clear(b),X1)
| ~ holds(empty,X1)
| holds(sF1,do(putdown(c,b),do(pickup(c),X1)))
| ~ holds(clear(c),X1)
| ~ differ(b,c) ),
inference(resolution,[],[f65,f5]) ).
fof(f65,plain,
! [X1] :
( ~ holds(clear(b),do(pickup(c),X1))
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| holds(sF1,do(putdown(c,b),do(pickup(c),X1))) ),
inference(subsumption_resolution,[],[f64,f20]) ).
fof(f64,plain,
! [X1] :
( ~ holds(empty,X1)
| holds(sF1,do(putdown(c,b),do(pickup(c),X1)))
| ~ holds(clear(b),do(pickup(c),X1))
| ~ differ(c,table)
| ~ holds(clear(c),X1) ),
inference(superposition,[],[f55,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA013-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 10:09:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (7697)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.49 % (7697)First to succeed.
% 0.19/0.49 % (7697)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (7697)------------------------------
% 0.19/0.49 % (7697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (7697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (7697)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (7697)Memory used [KB]: 1151
% 0.19/0.49 % (7697)Time elapsed: 0.014 s
% 0.19/0.49 % (7697)Instructions burned: 13 (million)
% 0.19/0.49 % (7697)------------------------------
% 0.19/0.49 % (7697)------------------------------
% 0.19/0.49 % (7681)Success in time 0.141 s
%------------------------------------------------------------------------------