TSTP Solution File: PLA004-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PLA004-1 : 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 : n001.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 18:09:15 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 23
% Syntax : Number of formulae : 66 ( 20 unt; 0 def)
% Number of atoms : 168 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 230 ( 128 ~; 102 |; 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(f148,plain,
$false,
inference(subsumption_resolution,[],[f147,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).
fof(f147,plain,
~ differ(a,b),
inference(subsumption_resolution,[],[f146,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
fof(f146,plain,
( ~ holds(clear(a),s0)
| ~ differ(a,b) ),
inference(resolution,[],[f144,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(f144,plain,
~ holds(clear(a),do(pickup(b),s0)),
inference(subsumption_resolution,[],[f143,f18]) ).
fof(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_table) ).
fof(f143,plain,
( ~ differ(b,table)
| ~ holds(clear(a),do(pickup(b),s0)) ),
inference(subsumption_resolution,[],[f142,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
fof(f142,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),do(pickup(b),s0))
| ~ differ(b,table) ),
inference(subsumption_resolution,[],[f141,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f141,plain,
( ~ holds(empty,s0)
| ~ differ(b,table)
| ~ holds(clear(a),do(pickup(b),s0))
| ~ holds(clear(b),s0) ),
inference(resolution,[],[f139,f2]) ).
fof(f2,axiom,
! [X2,X0] :
( holds(holding(X0),do(pickup(X0),X2))
| ~ holds(clear(X0),X2)
| ~ differ(X0,table)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).
fof(f139,plain,
( ~ holds(holding(b),do(pickup(b),s0))
| ~ holds(clear(a),do(pickup(b),s0)) ),
inference(duplicate_literal_removal,[],[f138]) ).
fof(f138,plain,
( ~ holds(clear(a),do(pickup(b),s0))
| ~ holds(holding(b),do(pickup(b),s0))
| ~ holds(clear(a),do(pickup(b),s0)) ),
inference(resolution,[],[f135,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/sandbox/benchmark/theBenchmark.p',putdown_3) ).
fof(f135,plain,
( ~ holds(clear(b),do(putdown(b,a),do(pickup(b),s0)))
| ~ holds(clear(a),do(pickup(b),s0)) ),
inference(subsumption_resolution,[],[f134,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
fof(f134,plain,
( ~ holds(clear(b),do(putdown(b,a),do(pickup(b),s0)))
| ~ differ(b,c)
| ~ holds(clear(a),do(pickup(b),s0)) ),
inference(resolution,[],[f132,f5]) ).
fof(f132,plain,
( ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0))))
| ~ holds(clear(a),do(pickup(b),s0)) ),
inference(subsumption_resolution,[],[f131,f40]) ).
fof(f40,plain,
differ(c,b),
inference(resolution,[],[f11,f16]) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f131,plain,
( ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0))))
| ~ holds(clear(a),do(pickup(b),s0))
| ~ differ(c,b) ),
inference(subsumption_resolution,[],[f130,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f130,plain,
( ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0))))
| ~ holds(clear(a),do(pickup(b),s0))
| ~ holds(clear(c),s0)
| ~ differ(c,b) ),
inference(resolution,[],[f128,f5]) ).
fof(f128,plain,
( ~ holds(clear(c),do(pickup(b),s0))
| ~ holds(clear(a),do(pickup(b),s0))
| ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0)))) ),
inference(subsumption_resolution,[],[f127,f29]) ).
fof(f127,plain,
( ~ holds(clear(a),do(pickup(b),s0))
| ~ holds(clear(c),do(pickup(b),s0))
| ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0))))
| ~ holds(empty,s0) ),
inference(subsumption_resolution,[],[f126,f18]) ).
fof(f126,plain,
( ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0))))
| ~ differ(b,table)
| ~ holds(clear(a),do(pickup(b),s0))
| ~ holds(empty,s0)
| ~ holds(clear(c),do(pickup(b),s0)) ),
inference(subsumption_resolution,[],[f125,f27]) ).
fof(f125,plain,
( ~ holds(clear(a),do(pickup(b),s0))
| ~ holds(clear(b),s0)
| ~ holds(empty,s0)
| ~ holds(clear(c),do(pickup(b),s0))
| ~ differ(b,table)
| ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0)))) ),
inference(resolution,[],[f124,f2]) ).
fof(f124,plain,
( ~ holds(holding(b),do(pickup(b),s0))
| ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0))))
| ~ holds(clear(c),do(pickup(b),s0))
| ~ holds(clear(a),do(pickup(b),s0)) ),
inference(resolution,[],[f118,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(f118,plain,
( ~ holds(empty,do(putdown(b,a),do(pickup(b),s0)))
| ~ holds(clear(c),do(pickup(b),s0))
| ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0)))) ),
inference(subsumption_resolution,[],[f117,f38]) ).
fof(f38,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
fof(f117,plain,
( ~ differ(c,a)
| ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0))))
| ~ holds(empty,do(putdown(b,a),do(pickup(b),s0)))
| ~ holds(clear(c),do(pickup(b),s0)) ),
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/sandbox/benchmark/theBenchmark.p',putdown_5) ).
fof(f116,plain,
( ~ holds(clear(c),do(putdown(b,a),do(pickup(b),s0)))
| ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0))))
| ~ holds(empty,do(putdown(b,a),do(pickup(b),s0))) ),
inference(subsumption_resolution,[],[f114,f16]) ).
fof(f114,plain,
( ~ holds(clear(b),do(pickup(c),do(putdown(b,a),do(pickup(b),s0))))
| ~ holds(empty,do(putdown(b,a),do(pickup(b),s0)))
| ~ differ(b,c)
| ~ holds(clear(c),do(putdown(b,a),do(pickup(b),s0))) ),
inference(resolution,[],[f113,f65]) ).
fof(f65,plain,
! [X0] :
( holds(sF0,do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0)) ),
inference(subsumption_resolution,[],[f63,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_table) ).
fof(f63,plain,
! [X0] :
( ~ differ(c,table)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| holds(sF0,do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0) ),
inference(superposition,[],[f62,f32]) ).
fof(f32,plain,
on(c,b) = sF0,
introduced(function_definition,[]) ).
fof(f62,plain,
! [X2,X0,X1] :
( holds(on(X1,X0),do(putdown(X1,X0),do(pickup(X1),X2)))
| ~ holds(clear(X0),do(pickup(X1),X2))
| ~ differ(X1,table)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
inference(resolution,[],[f7,f2]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2)
| holds(on(X0,X1),do(putdown(X0,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(b,a),do(pickup(b),s0)))))
| ~ differ(b,X12) ),
inference(resolution,[],[f91,f49]) ).
fof(f49,plain,
! [X0] :
( ~ holds(sF1,X0)
| ~ holds(sF0,X0) ),
inference(subsumption_resolution,[],[f48,f35]) ).
fof(f35,plain,
! [X2] : ~ holds(sF2,X2),
inference(definition_folding,[],[f31,f34,f33,f32]) ).
fof(f33,plain,
on(b,a) = sF1,
introduced(function_definition,[]) ).
fof(f34,plain,
sF2 = and(sF0,sF1),
introduced(function_definition,[]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(c,b),on(b,a)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_CBA) ).
fof(f48,plain,
! [X0] :
( holds(sF2,X0)
| ~ holds(sF0,X0)
| ~ holds(sF1,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(b,a),do(pickup(b),s0)))))
| ~ differ(b,X3) ),
inference(resolution,[],[f77,f51]) ).
fof(f51,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(b,a),do(pickup(b),s0))))
| ~ differ(b,X0) ),
inference(resolution,[],[f75,f58]) ).
fof(f58,plain,
! [X2,X3] :
( ~ holds(sF1,X3)
| holds(sF1,do(pickup(X2),X3))
| ~ differ(b,X2) ),
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(b,a),do(pickup(b),s0))),
inference(subsumption_resolution,[],[f74,f26]) ).
fof(f74,plain,
( ~ holds(clear(a),s0)
| holds(sF1,do(putdown(b,a),do(pickup(b),s0))) ),
inference(subsumption_resolution,[],[f73,f27]) ).
fof(f73,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),s0)
| holds(sF1,do(putdown(b,a),do(pickup(b),s0))) ),
inference(resolution,[],[f70,f29]) ).
fof(f70,plain,
! [X1] :
( ~ holds(empty,X1)
| ~ holds(clear(b),X1)
| holds(sF1,do(putdown(b,a),do(pickup(b),X1)))
| ~ holds(clear(a),X1) ),
inference(subsumption_resolution,[],[f68,f12]) ).
fof(f68,plain,
! [X1] :
( ~ differ(a,b)
| ~ holds(clear(b),X1)
| ~ holds(clear(a),X1)
| holds(sF1,do(putdown(b,a),do(pickup(b),X1)))
| ~ holds(empty,X1) ),
inference(resolution,[],[f66,f5]) ).
fof(f66,plain,
! [X1] :
( ~ holds(clear(a),do(pickup(b),X1))
| holds(sF1,do(putdown(b,a),do(pickup(b),X1)))
| ~ holds(clear(b),X1)
| ~ holds(empty,X1) ),
inference(subsumption_resolution,[],[f64,f18]) ).
fof(f64,plain,
! [X1] :
( ~ differ(b,table)
| ~ holds(clear(a),do(pickup(b),X1))
| ~ holds(clear(b),X1)
| ~ holds(empty,X1)
| holds(sF1,do(putdown(b,a),do(pickup(b),X1))) ),
inference(superposition,[],[f62,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PLA004-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 10:24:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 % (15136)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.45 % (15144)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.46 % (15127)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.46 TRYING [1]
% 0.20/0.46 TRYING [2]
% 0.20/0.46 TRYING [3]
% 0.20/0.49 % (15145)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.49 % (15137)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)
% 0.20/0.49 % (15128)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (15134)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (15133)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50 % (15132)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (15131)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (15127)Instruction limit reached!
% 0.20/0.50 % (15127)------------------------------
% 0.20/0.50 % (15127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15128)Instruction limit reached!
% 0.20/0.51 % (15128)------------------------------
% 0.20/0.51 % (15128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15128)Termination reason: Unknown
% 0.20/0.51 % (15128)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (15128)Memory used [KB]: 5500
% 0.20/0.51 % (15128)Time elapsed: 0.072 s
% 0.20/0.51 % (15128)Instructions burned: 8 (million)
% 0.20/0.51 % (15128)------------------------------
% 0.20/0.51 % (15128)------------------------------
% 0.20/0.51 % (15137)First to succeed.
% 0.20/0.51 % (15125)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (15137)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (15137)------------------------------
% 0.20/0.51 % (15137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15137)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (15137)Memory used [KB]: 1151
% 0.20/0.51 % (15137)Time elapsed: 0.075 s
% 0.20/0.51 % (15137)Instructions burned: 11 (million)
% 0.20/0.51 % (15137)------------------------------
% 0.20/0.51 % (15137)------------------------------
% 0.20/0.51 % (15118)Success in time 0.169 s
%------------------------------------------------------------------------------