TSTP Solution File: DAT028_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT028_1 : TPTP v8.1.0. Released v5.0.0.
% 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 16:04:40 EDT 2022
% Result : Theorem 0.39s 0.77s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 51 ( 11 unt; 9 typ; 0 def)
% Number of atoms : 132 ( 7 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 137 ( 47 ~; 33 |; 36 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 165 ( 58 atm; 5 fun; 44 num; 58 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 74 ( 50 !; 24 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_7,type,
sK0: collection ).
tff(func_def_8,type,
sK1: collection ).
tff(func_def_9,type,
sK2: $int ).
tff(func_def_10,type,
sK3: $int > $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f282,plain,
$false,
inference(avatar_sat_refutation,[],[f121,f270,f281]) ).
tff(f281,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f280]) ).
tff(f280,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f273,f278]) ).
tff(f278,plain,
( ~ $less(sK3(1),1)
| ~ spl4_1 ),
inference(backward_demodulation,[],[f262,f115]) ).
tff(f115,plain,
( ( 1 = sK2 )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f113]) ).
tff(f113,plain,
( spl4_1
<=> ( 1 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
tff(f262,plain,
~ $less(sK3(sK2),1),
inference(resolution,[],[f75,f189]) ).
tff(f189,plain,
$less(0,sK3(sK2)),
inference(resolution,[],[f58,f46]) ).
tff(f46,plain,
in(sK2,sK0),
inference(cnf_transformation,[],[f35]) ).
tff(f35,plain,
( ! [X2: $int] :
( ~ in(X2,sK1)
| $less(0,X2) )
& ~ $less(1,sK2)
& in(sK2,sK0)
& ! [X4: $int] :
( ( $less(sK3(X4),X4)
& in(sK3(X4),sK1) )
| ~ in(X4,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f31,f34,f33,f32]) ).
tff(f32,plain,
( ? [X0: collection,X1: collection] :
( ! [X2: $int] :
( ~ in(X2,X1)
| $less(0,X2) )
& ? [X3: $int] :
( ~ $less(1,X3)
& in(X3,X0) )
& ! [X4: $int] :
( ? [X5: $int] :
( $less(X5,X4)
& in(X5,X1) )
| ~ in(X4,X0) ) )
=> ( ! [X2: $int] :
( ~ in(X2,sK1)
| $less(0,X2) )
& ? [X3: $int] :
( ~ $less(1,X3)
& in(X3,sK0) )
& ! [X4: $int] :
( ? [X5: $int] :
( $less(X5,X4)
& in(X5,sK1) )
| ~ in(X4,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f33,plain,
( ? [X3: $int] :
( ~ $less(1,X3)
& in(X3,sK0) )
=> ( ~ $less(1,sK2)
& in(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f34,plain,
! [X4: $int] :
( ? [X5: $int] :
( $less(X5,X4)
& in(X5,sK1) )
=> ( $less(sK3(X4),X4)
& in(sK3(X4),sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f31,plain,
? [X0: collection,X1: collection] :
( ! [X2: $int] :
( ~ in(X2,X1)
| $less(0,X2) )
& ? [X3: $int] :
( ~ $less(1,X3)
& in(X3,X0) )
& ! [X4: $int] :
( ? [X5: $int] :
( $less(X5,X4)
& in(X5,X1) )
| ~ in(X4,X0) ) ),
inference(rectify,[],[f27]) ).
tff(f27,plain,
? [X1: collection,X0: collection] :
( ! [X2: $int] :
( ~ in(X2,X0)
| $less(0,X2) )
& ? [X5: $int] :
( ~ $less(1,X5)
& in(X5,X1) )
& ! [X3: $int] :
( ? [X4: $int] :
( $less(X4,X3)
& in(X4,X0) )
| ~ in(X3,X1) ) ),
inference(flattening,[],[f26]) ).
tff(f26,plain,
? [X1: collection,X0: collection] :
( ? [X5: $int] :
( ~ $less(1,X5)
& in(X5,X1) )
& ! [X3: $int] :
( ? [X4: $int] :
( $less(X4,X3)
& in(X4,X0) )
| ~ in(X3,X1) )
& ! [X2: $int] :
( ~ in(X2,X0)
| $less(0,X2) ) ),
inference(ennf_transformation,[],[f25]) ).
tff(f25,plain,
~ ! [X1: collection,X0: collection] :
( ( ! [X3: $int] :
( in(X3,X1)
=> ? [X4: $int] :
( $less(X4,X3)
& in(X4,X0) ) )
& ! [X2: $int] :
( in(X2,X0)
=> $less(0,X2) ) )
=> ! [X5: $int] :
( in(X5,X1)
=> $less(1,X5) ) ),
inference(rectify,[],[f8]) ).
tff(f8,plain,
~ ! [X1: collection,X0: collection] :
( ( ! [X2: $int] :
( in(X2,X1)
=> $less(0,X2) )
& ! [X3: $int] :
( in(X3,X0)
=> ? [X4: $int] :
( in(X4,X1)
& $less(X4,X3) ) ) )
=> ! [X5: $int] :
( in(X5,X0)
=> $less(1,X5) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X1: collection,X0: collection] :
( ( ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) )
& ! [X3: $int] :
( in(X3,X0)
=> ? [X4: $int] :
( in(X4,X1)
& $greater(X3,X4) ) ) )
=> ! [X5: $int] :
( in(X5,X0)
=> $greater(X5,1) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X1: collection,X0: collection] :
( ( ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) )
& ! [X3: $int] :
( in(X3,X0)
=> ? [X4: $int] :
( in(X4,X1)
& $greater(X3,X4) ) ) )
=> ! [X5: $int] :
( in(X5,X0)
=> $greater(X5,1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f58,plain,
! [X0: $int] :
( ~ in(X0,sK0)
| $less(0,sK3(X0)) ),
inference(resolution,[],[f44,f48]) ).
tff(f48,plain,
! [X2: $int] :
( ~ in(X2,sK1)
| $less(0,X2) ),
inference(cnf_transformation,[],[f35]) ).
tff(f44,plain,
! [X4: $int] :
( in(sK3(X4),sK1)
| ~ in(X4,sK0) ),
inference(cnf_transformation,[],[f35]) ).
tff(f75,plain,
! [X2: $int] :
( ~ $less(0,X2)
| ~ $less(X2,1) ),
inference(superposition,[],[f20,f60]) ).
tff(f60,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f9,f11]) ).
tff(f11,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f9,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f20,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_166,[]) ).
tff(f273,plain,
( $less(sK3(1),1)
| ~ spl4_1 ),
inference(backward_demodulation,[],[f59,f115]) ).
tff(f59,plain,
$less(sK3(sK2),sK2),
inference(resolution,[],[f45,f46]) ).
tff(f45,plain,
! [X4: $int] :
( ~ in(X4,sK0)
| $less(sK3(X4),X4) ),
inference(cnf_transformation,[],[f35]) ).
tff(f270,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f269]) ).
tff(f269,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f262,f187]) ).
tff(f187,plain,
( $less(sK3(sK2),1)
| ~ spl4_2 ),
inference(resolution,[],[f122,f59]) ).
tff(f122,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,1) )
| ~ spl4_2 ),
inference(resolution,[],[f119,f15]) ).
tff(f15,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f119,plain,
( $less(sK2,1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f117]) ).
tff(f117,plain,
( spl4_2
<=> $less(sK2,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
tff(f121,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f103,f117,f113]) ).
tff(f103,plain,
( $less(sK2,1)
| ( 1 = sK2 ) ),
inference(resolution,[],[f16,f47]) ).
tff(f47,plain,
~ $less(1,sK2),
inference(cnf_transformation,[],[f35]) ).
tff(f16,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT028=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 20:20:20 EDT 2022
% 0.13/0.35 % CPUTime :
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% 0.39/0.73 % (31817)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.39/0.73 % (31817)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.39/0.73 % (31817)Terminated due to inappropriate strategy.
% 0.39/0.73 % (31817)------------------------------
% 0.39/0.73 % (31817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.39/0.73 % (31817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.39/0.73 % (31817)Termination reason: Inappropriate
% 0.39/0.73
% 0.39/0.73 % (31817)Memory used [KB]: 895
% 0.39/0.73 % (31817)Time elapsed: 0.002 s
% 0.39/0.73 % (31817)Instructions burned: 1 (million)
% 0.39/0.73 % (31817)------------------------------
% 0.39/0.73 % (31817)------------------------------
% 0.39/0.73 % (31818)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.39/0.73 % (31825)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 (2998ds/68Mi)
% 0.39/0.73 % (31833)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 (2998ds/498Mi)
% 0.39/0.73 % (31818)Instruction limit reached!
% 0.39/0.73 % (31818)------------------------------
% 0.39/0.73 % (31818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.39/0.74 % (31821)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.39/0.74 % (31834)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 (2998ds/467Mi)
% 0.39/0.74 % (31826)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 (2998ds/75Mi)
% 0.39/0.74 % (31829)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.39/0.74 % (31837)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 (2998ds/68Mi)
% 0.39/0.75 % (31829)First to succeed.
% 0.39/0.75 % (31818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.39/0.75 % (31818)Termination reason: Unknown
% 0.39/0.75 % (31818)Termination phase: Saturation
% 0.39/0.75
% 0.39/0.75 % (31818)Memory used [KB]: 5500
% 0.39/0.75 % (31818)Time elapsed: 0.128 s
% 0.39/0.75 % (31818)Instructions burned: 7 (million)
% 0.39/0.75 % (31818)------------------------------
% 0.39/0.75 % (31818)------------------------------
% 0.39/0.77 % (31821)Also succeeded, but the first one will report.
% 0.39/0.77 % (31829)Refutation found. Thanks to Tanya!
% 0.39/0.77 % SZS status Theorem for theBenchmark
% 0.39/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.39/0.77 % (31829)------------------------------
% 0.39/0.77 % (31829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.39/0.77 % (31829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.39/0.77 % (31829)Termination reason: Refutation
% 0.39/0.77
% 0.39/0.77 % (31829)Memory used [KB]: 5628
% 0.39/0.77 % (31829)Time elapsed: 0.144 s
% 0.39/0.77 % (31829)Instructions burned: 11 (million)
% 0.39/0.77 % (31829)------------------------------
% 0.39/0.77 % (31829)------------------------------
% 0.39/0.77 % (31644)Success in time 0.413 s
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