TSTP Solution File: PLA009-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PLA009-2 : 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 : n011.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 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 23
% Syntax : Number of formulae : 60 ( 21 unt; 0 def)
% Number of atoms : 154 ( 3 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 210 ( 116 ~; 94 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f139,plain,
$false,
inference(subsumption_resolution,[],[f138,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state6) ).
fof(f138,plain,
~ holds(clear(b),s0),
inference(subsumption_resolution,[],[f134,f37]) ).
fof(f37,plain,
differ(b,a),
inference(resolution,[],[f11,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_b) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f134,plain,
( ~ differ(b,a)
| ~ holds(clear(b),s0) ),
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,
~ holds(clear(b),do(pickup(a),s0)),
inference(subsumption_resolution,[],[f127,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).
fof(f127,plain,
( ~ holds(clear(b),do(pickup(a),s0))
| ~ holds(clear(c),s0) ),
inference(subsumption_resolution,[],[f124,f38]) ).
fof(f38,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_c) ).
fof(f124,plain,
( ~ differ(c,a)
| ~ holds(clear(b),do(pickup(a),s0))
| ~ holds(clear(c),s0) ),
inference(resolution,[],[f118,f5]) ).
fof(f118,plain,
( ~ holds(clear(c),do(pickup(a),s0))
| ~ holds(clear(b),do(pickup(a),s0)) ),
inference(subsumption_resolution,[],[f117,f40]) ).
fof(f40,plain,
differ(c,b),
inference(resolution,[],[f11,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_c) ).
fof(f117,plain,
( ~ differ(c,b)
| ~ holds(clear(c),do(pickup(a),s0))
| ~ holds(clear(b),do(pickup(a),s0)) ),
inference(resolution,[],[f112,f10]) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( holds(clear(X3),do(putdown(X0,X1),X2))
| ~ differ(X3,X1)
| ~ holds(clear(X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_5) ).
fof(f112,plain,
( ~ holds(clear(c),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(clear(b),do(pickup(a),s0)) ),
inference(subsumption_resolution,[],[f111,f13]) ).
fof(f111,plain,
( ~ holds(clear(b),do(pickup(a),s0))
| ~ holds(clear(c),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(a,c) ),
inference(resolution,[],[f110,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state3) ).
fof(f110,plain,
! [X0] :
( ~ holds(on(X0,d),s0)
| ~ holds(clear(b),do(pickup(a),s0))
| ~ differ(a,X0)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0))) ),
inference(subsumption_resolution,[],[f109,f11]) ).
fof(f109,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(a),s0))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(on(X0,d),s0)
| ~ differ(X0,a)
| ~ differ(a,X0) ),
inference(resolution,[],[f105,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(f105,plain,
! [X0] :
( ~ holds(on(X0,d),do(pickup(a),s0))
| ~ differ(a,X0)
| ~ holds(clear(b),do(pickup(a),s0))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0))) ),
inference(resolution,[],[f104,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/sandbox2/benchmark/theBenchmark.p',putdown_4) ).
fof(f104,plain,
! [X0] :
( ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(clear(b),do(pickup(a),s0))
| ~ differ(a,X0) ),
inference(subsumption_resolution,[],[f103,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_table) ).
fof(f103,plain,
! [X0] :
( ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(clear(b),do(pickup(a),s0))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(a,X0)
| ~ differ(a,table) ),
inference(subsumption_resolution,[],[f102,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).
fof(f102,plain,
! [X0] :
( ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(clear(b),do(pickup(a),s0))
| ~ holds(empty,s0)
| ~ differ(a,table)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(a,X0) ),
inference(subsumption_resolution,[],[f101,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state5) ).
fof(f101,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(a),s0))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(a,X0)
| ~ holds(clear(a),s0)
| ~ holds(empty,s0)
| ~ differ(a,table)
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),s0))) ),
inference(resolution,[],[f100,f2]) ).
fof(f2,axiom,
! [X2,X0] :
( holds(holding(X0),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_1) ).
fof(f100,plain,
! [X0] :
( ~ holds(holding(a),do(pickup(a),s0))
| ~ differ(a,X0)
| ~ holds(clear(b),do(pickup(a),s0))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),s0))) ),
inference(resolution,[],[f98,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(f98,plain,
! [X0] :
( ~ holds(empty,do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(a,X0) ),
inference(resolution,[],[f97,f66]) ).
fof(f66,plain,
! [X0,X1] :
( holds(sF0,do(pickup(X0),X1))
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| ~ holds(on(X0,d),X1) ),
inference(superposition,[],[f3,f32]) ).
fof(f32,plain,
clear(d) = sF0,
introduced(function_definition,[]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( holds(clear(X1),do(pickup(X0),X2))
| ~ holds(on(X0,X1),X2)
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_2) ).
fof(f97,plain,
! [X6] :
( ~ holds(sF0,do(pickup(X6),do(putdown(a,b),do(pickup(a),s0))))
| ~ differ(a,X6) ),
inference(resolution,[],[f77,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(a,b) = sF1,
introduced(function_definition,[]) ).
fof(f34,plain,
sF2 = and(sF0,sF1),
introduced(function_definition,[]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(clear(d),on(a,b)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_D_AB) ).
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/sandbox2/benchmark/theBenchmark.p',and_definition) ).
fof(f77,plain,
! [X0] :
( holds(sF1,do(pickup(X0),do(putdown(a,b),do(pickup(a),s0))))
| ~ differ(a,X0) ),
inference(resolution,[],[f75,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ holds(sF1,X1)
| ~ differ(a,X0)
| holds(sF1,do(pickup(X0),X1)) ),
inference(superposition,[],[f4,f33]) ).
fof(f75,plain,
holds(sF1,do(putdown(a,b),do(pickup(a),s0))),
inference(subsumption_resolution,[],[f74,f27]) ).
fof(f74,plain,
( holds(sF1,do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(clear(b),s0) ),
inference(subsumption_resolution,[],[f73,f26]) ).
fof(f73,plain,
( ~ holds(clear(a),s0)
| holds(sF1,do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(clear(b),s0) ),
inference(resolution,[],[f70,f29]) ).
fof(f70,plain,
! [X1] :
( ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| holds(sF1,do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),X1) ),
inference(subsumption_resolution,[],[f68,f37]) ).
fof(f68,plain,
! [X1] :
( ~ differ(b,a)
| ~ holds(empty,X1)
| holds(sF1,do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(a),X1)
| ~ holds(clear(b),X1) ),
inference(resolution,[],[f65,f5]) ).
fof(f65,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(a),X0))
| holds(sF1,do(putdown(a,b),do(pickup(a),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(subsumption_resolution,[],[f64,f15]) ).
fof(f64,plain,
! [X0] :
( ~ holds(empty,X0)
| holds(sF1,do(putdown(a,b),do(pickup(a),X0)))
| ~ holds(clear(a),X0)
| ~ holds(clear(b),do(pickup(a),X0))
| ~ differ(a,table) ),
inference(resolution,[],[f63,f2]) ).
fof(f63,plain,
! [X0] :
( ~ holds(holding(a),X0)
| ~ holds(clear(b),X0)
| holds(sF1,do(putdown(a,b),X0)) ),
inference(superposition,[],[f7,f33]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : PLA009-2 : TPTP v8.1.0. Released v1.1.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.31 % Computer : n011.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Aug 30 10:02:25 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.15/0.46 % (22229)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)
% 0.15/0.48 % (22247)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)
% 0.15/0.48 TRYING [1]
% 0.15/0.48 % (22238)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)
% 0.15/0.48 TRYING [2]
% 0.15/0.48 TRYING [3]
% 0.15/0.49 % (22246)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)
% 0.15/0.49 % (22237)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)
% 0.15/0.49 % (22230)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.50 % (22224)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)
% 0.15/0.50 % (22224)Refutation not found, incomplete strategy% (22224)------------------------------
% 0.15/0.50 % (22224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (22224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (22224)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.50
% 0.15/0.50 % (22224)Memory used [KB]: 5373
% 0.15/0.50 % (22224)Time elapsed: 0.128 s
% 0.15/0.50 % (22224)Instructions burned: 2 (million)
% 0.15/0.50 % (22224)------------------------------
% 0.15/0.50 % (22224)------------------------------
% 0.15/0.50 % (22238)First to succeed.
% 0.15/0.50 % (22223)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)
% 0.15/0.50 % (22226)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)
% 0.15/0.51 % (22230)Instruction limit reached!
% 0.15/0.51 % (22230)------------------------------
% 0.15/0.51 % (22230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (22230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (22230)Termination reason: Unknown
% 0.15/0.51 % (22230)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (22230)Memory used [KB]: 5500
% 0.15/0.51 % (22230)Time elapsed: 0.079 s
% 0.15/0.51 % (22230)Instructions burned: 7 (million)
% 0.15/0.51 % (22230)------------------------------
% 0.15/0.51 % (22230)------------------------------
% 0.15/0.51 % (22225)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)
% 0.15/0.51 % (22238)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (22238)------------------------------
% 0.15/0.51 % (22238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (22238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (22238)Termination reason: Refutation
% 0.15/0.51
% 0.15/0.51 % (22238)Memory used [KB]: 1151
% 0.15/0.51 % (22238)Time elapsed: 0.080 s
% 0.15/0.51 % (22238)Instructions burned: 11 (million)
% 0.15/0.51 % (22238)------------------------------
% 0.15/0.51 % (22238)------------------------------
% 0.15/0.51 % (22222)Success in time 0.193 s
%------------------------------------------------------------------------------