TSTP Solution File: DAT055_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT055_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 : n007.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 16:04:46 EDT 2022
% Result : Theorem 1.52s 0.68s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 73 ( 10 unt; 6 typ; 0 def)
% Number of atoms : 154 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 168 ( 81 ~; 66 |; 12 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 126 ( 70 atm; 25 fun; 12 num; 19 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
a: list ).
tff(func_def_1,type,
l: $int ).
tff(func_def_2,type,
k: $int ).
tff(func_def_3,type,
min: list > $int ).
tff(func_def_4,type,
max: list > $int ).
tff(f322,plain,
$false,
inference(avatar_sat_refutation,[],[f115,f190,f220,f225,f227,f256,f258,f321]) ).
tff(f321,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f320]) ).
tff(f320,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f319,f21]) ).
tff(f21,plain,
$less(0,k),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( $less(0,k)
& ~ $less(l,$sum(max(a),k))
& ! [X0: list] : ~ $less(max(X0),min(X0))
& ~ $less(min(a),l) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( ~ $less(l,$sum(max(a),k))
& $less(0,k)
& ! [X0: list] : ~ $less(max(X0),min(X0))
& ~ $less(min(a),l) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ( $less(0,k)
& ! [X0: list] : ~ $less(max(X0),min(X0))
& ~ $less(min(a),l) )
=> $less(l,$sum(max(a),k)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( $lesseq(l,min(a))
& ! [X0: list] : $lesseq(min(X0),max(X0))
& $less(0,k) )
=> $less(l,$sum(max(a),k)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( $lesseq(l,min(a))
& ! [X0: list] : $lesseq(min(X0),max(X0))
& $less(0,k) )
=> $less(l,$sum(max(a),k)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boyer_moore_max_min) ).
tff(f319,plain,
( ~ $less(0,k)
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f316,f285]) ).
tff(f285,plain,
( ~ $less(max(a),l)
| ~ spl0_1 ),
inference(superposition,[],[f19,f75]) ).
tff(f75,plain,
( ( l = min(a) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f73]) ).
tff(f73,plain,
( spl0_1
<=> ( l = min(a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f19,plain,
! [X0: list] : ~ $less(max(X0),min(X0)),
inference(cnf_transformation,[],[f17]) ).
tff(f316,plain,
( $less(max(a),l)
| ~ $less(0,k)
| ~ spl0_3 ),
inference(superposition,[],[f288,f33]) ).
tff(f33,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f6,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f288,plain,
( ! [X1: $int] :
( $less($sum(X1,max(a)),l)
| ~ $less(X1,k) )
| ~ spl0_3 ),
inference(superposition,[],[f12,f84]) ).
tff(f84,plain,
( ( l = $sum(k,max(a)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f82]) ).
tff(f82,plain,
( spl0_3
<=> ( l = $sum(k,max(a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f258,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f257,f86,f82]) ).
tff(f86,plain,
( spl0_4
<=> $less($sum(k,max(a)),l) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f257,plain,
( ( l = $sum(k,max(a)) )
| spl0_4 ),
inference(subsumption_resolution,[],[f192,f87]) ).
tff(f87,plain,
( ~ $less($sum(k,max(a)),l)
| spl0_4 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f192,plain,
( $less($sum(k,max(a)),l)
| ( l = $sum(k,max(a)) ) ),
inference(resolution,[],[f22,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f22,plain,
~ $less(l,$sum(k,max(a))),
inference(forward_demodulation,[],[f20,f4]) ).
tff(f20,plain,
~ $less(l,$sum(max(a),k)),
inference(cnf_transformation,[],[f17]) ).
tff(f256,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f255]) ).
tff(f255,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f254,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f254,plain,
( $less(l,l)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f218,f106]) ).
tff(f106,plain,
( ( l = max(a) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f104]) ).
tff(f104,plain,
( spl0_6
<=> ( l = max(a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f218,plain,
( $less(max(a),l)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f216,f21]) ).
tff(f216,plain,
( ~ $less(0,k)
| $less(max(a),l)
| ~ spl0_4 ),
inference(superposition,[],[f198,f33]) ).
tff(f198,plain,
( ! [X2: $int] :
( $less($sum(X2,max(a)),l)
| ~ $less(X2,k) )
| ~ spl0_4 ),
inference(resolution,[],[f194,f12]) ).
tff(f194,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(k,max(a)))
| $less(X0,l) )
| ~ spl0_4 ),
inference(resolution,[],[f88,f10]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f88,plain,
( $less($sum(k,max(a)),l)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f227,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f226]) ).
tff(f226,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f218,f143]) ).
tff(f143,plain,
( ~ $less(max(a),l)
| ~ spl0_5 ),
inference(resolution,[],[f137,f9]) ).
tff(f137,plain,
( ! [X0: $int] :
( $less(X0,max(a))
| ~ $less(X0,l) )
| ~ spl0_5 ),
inference(resolution,[],[f102,f10]) ).
tff(f102,plain,
( $less(l,max(a))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f100]) ).
tff(f100,plain,
( spl0_5
<=> $less(l,max(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f225,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f224,f77,f73]) ).
tff(f77,plain,
( spl0_2
<=> $less(l,min(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f224,plain,
( ( l = min(a) )
| spl0_2 ),
inference(subsumption_resolution,[],[f117,f78]) ).
tff(f78,plain,
( ~ $less(l,min(a))
| spl0_2 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f117,plain,
( ( l = min(a) )
| $less(l,min(a)) ),
inference(resolution,[],[f18,f11]) ).
tff(f18,plain,
~ $less(min(a),l),
inference(cnf_transformation,[],[f17]) ).
tff(f220,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f219]) ).
tff(f219,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f218,f140]) ).
tff(f140,plain,
( ~ $less(max(a),l)
| ~ spl0_2 ),
inference(resolution,[],[f118,f19]) ).
tff(f118,plain,
( ! [X0: $int] :
( $less(X0,min(a))
| ~ $less(X0,l) )
| ~ spl0_2 ),
inference(resolution,[],[f79,f10]) ).
tff(f79,plain,
( $less(l,min(a))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f190,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f189]) ).
tff(f189,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f188,f140]) ).
tff(f188,plain,
( $less(max(a),l)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f186,f21]) ).
tff(f186,plain,
( ~ $less(0,k)
| $less(max(a),l)
| ~ spl0_3 ),
inference(superposition,[],[f132,f33]) ).
tff(f132,plain,
( ! [X10: $int] :
( $less($sum(X10,max(a)),l)
| ~ $less(X10,k) )
| ~ spl0_3 ),
inference(superposition,[],[f12,f84]) ).
tff(f115,plain,
( spl0_6
| spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f113,f73,f100,f104]) ).
tff(f113,plain,
( $less(l,max(a))
| ( l = max(a) )
| ~ spl0_1 ),
inference(resolution,[],[f111,f11]) ).
tff(f111,plain,
( ~ $less(max(a),l)
| ~ spl0_1 ),
inference(superposition,[],[f19,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT055=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 20:03:15 EDT 2022
% 0.14/0.35 % CPUTime :
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% 0.81/0.63 % (18954)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 (2998ds/37Mi)
% 1.18/0.64 % (18966)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)
% 1.18/0.64 % (18962)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.18/0.64 % (18965)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.18/0.64 % (18964)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.18/0.65 % (18972)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 (2998ds/176Mi)
% 1.18/0.65 % (18955)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.18/0.65 % (18952)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 (2998ds/191324Mi)
% 1.18/0.65 % (18952)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.18/0.65 % (18952)Terminated due to inappropriate strategy.
% 1.18/0.65 % (18952)------------------------------
% 1.18/0.65 % (18952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.65 % (18952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.65 % (18952)Termination reason: Inappropriate
% 1.18/0.65
% 1.18/0.65 % (18952)Memory used [KB]: 895
% 1.18/0.65 % (18952)Time elapsed: 0.003 s
% 1.18/0.65 % (18952)Instructions burned: 2 (million)
% 1.18/0.65 % (18952)------------------------------
% 1.18/0.65 % (18952)------------------------------
% 1.18/0.65 % (18971)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.18/0.65 % (18956)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.18/0.65 % (18975)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)
% 1.18/0.65 % (18980)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.18/0.65 % (18963)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.18/0.65 % (18970)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.18/0.65 % (18953)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.18/0.66 % (18957)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 (2998ds/48Mi)
% 1.18/0.66 % (18967)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)
% 1.18/0.67 % (18958)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)
% 1.18/0.67 % (18958)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.18/0.67 % (18958)Terminated due to inappropriate strategy.
% 1.18/0.67 % (18958)------------------------------
% 1.18/0.67 % (18958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.67 % (18958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.67 % (18958)Termination reason: Inappropriate
% 1.18/0.67
% 1.18/0.67 % (18958)Memory used [KB]: 895
% 1.18/0.67 % (18958)Time elapsed: 0.003 s
% 1.18/0.67 % (18958)Instructions burned: 2 (million)
% 1.18/0.67 % (18958)------------------------------
% 1.18/0.67 % (18958)------------------------------
% 1.18/0.67 % (18978)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)
% 1.18/0.67 % (18959)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.18/0.67 % (18960)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.18/0.67 % (18960)Instruction limit reached!
% 1.18/0.67 % (18960)------------------------------
% 1.18/0.67 % (18960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.67 % (18960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.67 % (18960)Termination reason: Unknown
% 1.18/0.67 % (18960)Termination phase: Saturation
% 1.18/0.67
% 1.18/0.67 % (18960)Memory used [KB]: 5373
% 1.18/0.67 % (18960)Time elapsed: 0.002 s
% 1.18/0.67 % (18960)Instructions burned: 2 (million)
% 1.18/0.67 % (18960)------------------------------
% 1.18/0.67 % (18960)------------------------------
% 1.52/0.67 % (18972)First to succeed.
% 1.52/0.68 % (18972)Refutation found. Thanks to Tanya!
% 1.52/0.68 % SZS status Theorem for theBenchmark
% 1.52/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.68 % (18972)------------------------------
% 1.52/0.68 % (18972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.68 % (18972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.68 % (18972)Termination reason: Refutation
% 1.52/0.68
% 1.52/0.68 % (18972)Memory used [KB]: 5628
% 1.52/0.68 % (18972)Time elapsed: 0.147 s
% 1.52/0.68 % (18972)Instructions burned: 15 (million)
% 1.52/0.68 % (18972)------------------------------
% 1.52/0.68 % (18972)------------------------------
% 1.52/0.68 % (18811)Success in time 0.315 s
%------------------------------------------------------------------------------