TSTP Solution File: PLA009-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PLA009-1 : 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 : 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 18:09:16 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 44 ( 14 unt; 0 def)
% Number of atoms : 157 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 248 ( 135 ~; 113 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f343,plain,
$false,
inference(subsumption_resolution,[],[f342,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f342,plain,
~ holds(clear(c),s0),
inference(subsumption_resolution,[],[f341,f41]) ).
fof(f41,plain,
differ(c,b),
inference(resolution,[],[f11,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f341,plain,
( ~ differ(c,b)
| ~ holds(clear(c),s0) ),
inference(subsumption_resolution,[],[f340,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
fof(f340,plain,
( ~ differ(a,c)
| ~ differ(c,b)
| ~ holds(clear(c),s0) ),
inference(resolution,[],[f339,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
fof(f339,plain,
! [X13] :
( ~ holds(on(X13,d),s0)
| ~ differ(a,X13)
| ~ holds(clear(X13),s0)
| ~ differ(X13,b) ),
inference(subsumption_resolution,[],[f338,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
fof(f338,plain,
! [X13] :
( ~ differ(a,X13)
| ~ holds(on(X13,d),s0)
| ~ differ(X13,b)
| ~ holds(clear(a),s0)
| ~ holds(clear(X13),s0) ),
inference(subsumption_resolution,[],[f336,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f336,plain,
! [X13] :
( ~ holds(on(X13,d),s0)
| ~ holds(empty,s0)
| ~ holds(clear(a),s0)
| ~ differ(X13,b)
| ~ differ(a,X13)
| ~ holds(clear(X13),s0) ),
inference(resolution,[],[f331,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
fof(f331,plain,
! [X2,X3] :
( ~ holds(clear(b),X2)
| ~ holds(on(X3,d),X2)
| ~ holds(clear(X3),X2)
| ~ holds(clear(a),X2)
| ~ holds(empty,X2)
| ~ differ(X3,b)
| ~ differ(a,X3) ),
inference(subsumption_resolution,[],[f328,f11]) ).
fof(f328,plain,
! [X2,X3] :
( ~ holds(clear(b),X2)
| ~ holds(empty,X2)
| ~ holds(on(X3,d),X2)
| ~ holds(clear(X3),X2)
| ~ differ(X3,a)
| ~ differ(a,X3)
| ~ holds(clear(a),X2)
| ~ differ(X3,b) ),
inference(resolution,[],[f308,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( holds(clear(X0),do(pickup(X3),X2))
| ~ differ(X0,X3)
| ~ holds(clear(X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).
fof(f308,plain,
! [X0,X1] :
( ~ holds(clear(X0),do(pickup(a),X1))
| ~ holds(clear(b),X1)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ differ(X0,b)
| ~ differ(a,X0)
| ~ holds(on(X0,d),X1) ),
inference(subsumption_resolution,[],[f307,f11]) ).
fof(f307,plain,
! [X0,X1] :
( ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ differ(X0,b)
| ~ holds(clear(b),X1)
| ~ differ(X0,a)
| ~ holds(clear(X0),do(pickup(a),X1))
| ~ differ(a,X0)
| ~ holds(on(X0,d),X1) ),
inference(resolution,[],[f282,f4]) ).
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(f282,plain,
! [X0,X1] :
( ~ holds(on(X0,d),do(pickup(a),X1))
| ~ differ(X0,b)
| ~ holds(clear(b),X1)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,X0)
| ~ holds(clear(X0),do(pickup(a),X1)) ),
inference(subsumption_resolution,[],[f281,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f281,plain,
! [X0,X1] :
( ~ differ(a,table)
| ~ differ(X0,b)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(a),X1))
| ~ holds(on(X0,d),do(pickup(a),X1))
| ~ holds(clear(a),X1)
| ~ holds(clear(b),X1)
| ~ differ(a,X0) ),
inference(subsumption_resolution,[],[f280,f38]) ).
fof(f38,plain,
differ(b,a),
inference(resolution,[],[f11,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).
fof(f280,plain,
! [X0,X1] :
( ~ differ(a,X0)
| ~ holds(clear(a),X1)
| ~ differ(X0,b)
| ~ holds(empty,X1)
| ~ holds(clear(b),X1)
| ~ differ(b,a)
| ~ differ(a,table)
| ~ holds(on(X0,d),do(pickup(a),X1))
| ~ holds(clear(X0),do(pickup(a),X1)) ),
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,
! [X3,X4,X5] :
( ~ holds(holding(a),do(pickup(X4),X5))
| ~ holds(clear(X3),do(pickup(X4),X5))
| ~ differ(b,X4)
| ~ differ(X3,b)
| ~ differ(a,X3)
| ~ holds(clear(b),X5)
| ~ holds(on(X3,d),do(pickup(X4),X5)) ),
inference(resolution,[],[f122,f5]) ).
fof(f122,plain,
! [X0,X1] :
( ~ holds(clear(b),X1)
| ~ differ(a,X0)
| ~ holds(on(X0,d),X1)
| ~ differ(X0,b)
| ~ holds(holding(a),X1)
| ~ holds(clear(X0),X1) ),
inference(resolution,[],[f112,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(f112,plain,
! [X0,X1] :
( ~ holds(clear(X0),do(putdown(a,b),X1))
| ~ holds(on(X0,d),X1)
| ~ differ(a,X0)
| ~ holds(clear(b),X1)
| ~ holds(holding(a),X1) ),
inference(resolution,[],[f66,f9]) ).
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(f66,plain,
! [X0,X1] :
( ~ holds(on(X1,d),do(putdown(a,b),X0))
| ~ differ(a,X1)
| ~ holds(holding(a),X0)
| ~ holds(clear(X1),do(putdown(a,b),X0))
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f63,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(f63,plain,
! [X0,X1] :
( ~ holds(on(X1,d),do(putdown(a,b),X0))
| ~ holds(holding(a),X0)
| ~ holds(empty,do(putdown(a,b),X0))
| ~ holds(clear(b),X0)
| ~ holds(clear(X1),do(putdown(a,b),X0))
| ~ differ(a,X1) ),
inference(resolution,[],[f7,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ holds(on(a,b),X0)
| ~ holds(empty,X0)
| ~ holds(on(X1,d),X0)
| ~ holds(clear(X1),X0)
| ~ differ(a,X1) ),
inference(resolution,[],[f33,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( holds(clear(X1),do(pickup(X0),X2))
| ~ holds(on(X0,X1),X2)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_2) ).
fof(f33,plain,
! [X0,X1] :
( ~ holds(clear(d),do(pickup(X0),X1))
| ~ holds(on(a,b),X1)
| ~ differ(a,X0) ),
inference(resolution,[],[f32,f4]) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(a,b),clear(d)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_AB_D) ).
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(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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PLA009-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 10:04:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (5564)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (5584)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)
% 0.20/0.51 % (5566)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 % (5576)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)
% 0.20/0.52 % (5580)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (5565)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (5568)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (5574)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (5588)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)
% 0.20/0.52 % (5563)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (5572)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (5563)Refutation not found, incomplete strategy% (5563)------------------------------
% 0.20/0.53 % (5563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5563)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (5563)Memory used [KB]: 5373
% 0.20/0.53 % (5563)Time elapsed: 0.126 s
% 0.20/0.53 % (5563)Instructions burned: 1 (million)
% 0.20/0.53 % (5563)------------------------------
% 0.20/0.53 % (5563)------------------------------
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (5567)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (5587)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (5591)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (5575)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (5585)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)
% 0.20/0.53 % (5582)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.53 % (5577)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)
% 0.20/0.54 % (5583)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (5573)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)
% 0.20/0.54 % (5564)First to succeed.
% 0.20/0.54 % (5589)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (5579)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (5571)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (5562)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.55 % (5564)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (5564)------------------------------
% 0.20/0.55 % (5564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5564)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (5564)Memory used [KB]: 1151
% 0.20/0.55 % (5564)Time elapsed: 0.117 s
% 0.20/0.55 % (5564)Instructions burned: 31 (million)
% 0.20/0.55 % (5564)------------------------------
% 0.20/0.55 % (5564)------------------------------
% 0.20/0.55 % (5561)Success in time 0.195 s
%------------------------------------------------------------------------------