TSTP Solution File: DAT062_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT062_1 : TPTP v8.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Mon May 20 19:51:18 EDT 2024
% Result : Theorem 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 51 ( 17 unt; 10 typ; 0 def)
% Number of atoms : 95 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 92 ( 38 ~; 29 |; 14 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 84 ( 33 atm; 15 fun; 13 num; 23 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 5 >; 2 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 55 ( 47 !; 8 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
heap: $tType ).
tff(func_def_0,type,
empty: heap ).
tff(func_def_1,type,
get: heap > heap ).
tff(func_def_2,type,
app: ( heap * $int ) > heap ).
tff(func_def_3,type,
toop: heap > $int ).
tff(func_def_4,type,
length: heap > $int ).
tff(func_def_9,type,
sK0: heap ).
tff(func_def_10,type,
sK1: $int ).
tff(func_def_11,type,
sK2: heap ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f428,plain,
$false,
inference(avatar_sat_refutation,[],[f164,f420]) ).
tff(f420,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f419]) ).
tff(f419,plain,
( $false
| spl3_5 ),
inference(trivial_inequality_removal,[],[f375]) ).
tff(f375,plain,
( ( length(sK2) != length(sK2) )
| spl3_5 ),
inference(backward_demodulation,[],[f144,f365]) ).
tff(f365,plain,
sK0 = sK2,
inference(subsumption_resolution,[],[f360,f122]) ).
tff(f122,plain,
~ lsls(sK2,sK0),
inference(resolution,[],[f119,f45]) ).
tff(f45,plain,
! [X3: heap] :
( $less(length(X3),length(sK0))
| ~ lsls(X3,sK0) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
( ~ $less(length(sK2),length(app(sK0,sK1)))
& lsls(sK2,app(sK0,sK1))
& ! [X3: heap] :
( $less(length(X3),length(sK0))
| ~ lsls(X3,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f35,f39,f38]) ).
tff(f38,plain,
( ? [X0: heap,X1: $int] :
( ? [X2: heap] :
( ~ $less(length(X2),length(app(X0,X1)))
& lsls(X2,app(X0,X1)) )
& ! [X3: heap] :
( $less(length(X3),length(X0))
| ~ lsls(X3,X0) ) )
=> ( ? [X2: heap] :
( ~ $less(length(X2),length(app(sK0,sK1)))
& lsls(X2,app(sK0,sK1)) )
& ! [X3: heap] :
( $less(length(X3),length(sK0))
| ~ lsls(X3,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f39,plain,
( ? [X2: heap] :
( ~ $less(length(X2),length(app(sK0,sK1)))
& lsls(X2,app(sK0,sK1)) )
=> ( ~ $less(length(sK2),length(app(sK0,sK1)))
& lsls(sK2,app(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f35,plain,
? [X0: heap,X1: $int] :
( ? [X2: heap] :
( ~ $less(length(X2),length(app(X0,X1)))
& lsls(X2,app(X0,X1)) )
& ! [X3: heap] :
( $less(length(X3),length(X0))
| ~ lsls(X3,X0) ) ),
inference(ennf_transformation,[],[f26]) ).
tff(f26,plain,
~ ! [X0: heap,X1: $int] :
( ! [X2: heap] :
( lsls(X2,app(X0,X1))
=> $less(length(X2),length(app(X0,X1))) )
| ~ ! [X3: heap] :
( lsls(X3,X0)
=> $less(length(X3),length(X0)) ) ),
inference(rectify,[],[f13]) ).
tff(f13,negated_conjecture,
~ ! [X1: heap,X0: $int] :
( ! [X2: heap] :
( lsls(X2,app(X1,X0))
=> $less(length(X2),length(app(X1,X0))) )
| ~ ! [X2: heap] :
( lsls(X2,X1)
=> $less(length(X2),length(X1)) ) ),
inference(negated_conjecture,[],[f12]) ).
tff(f12,conjecture,
! [X1: heap,X0: $int] :
( ! [X2: heap] :
( lsls(X2,app(X1,X0))
=> $less(length(X2),length(app(X1,X0))) )
| ~ ! [X2: heap] :
( lsls(X2,X1)
=> $less(length(X2),length(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_1a) ).
tff(f119,plain,
~ $less(length(sK2),length(sK0)),
inference(resolution,[],[f114,f99]) ).
tff(f99,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f91,f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f91,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f23,f19]) ).
tff(f19,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f23,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f114,plain,
! [X0: $int] :
( ~ $less(X0,$sum(1,length(sK0)))
| ~ $less(length(sK2),X0) ),
inference(resolution,[],[f20,f66]) ).
tff(f66,plain,
~ $less(length(sK2),$sum(1,length(sK0))),
inference(backward_demodulation,[],[f47,f55]) ).
tff(f55,plain,
! [X0: $int,X1: heap] : ( length(app(X1,X0)) = $sum(1,length(X1)) ),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
! [X0: $int,X1: heap] : ( length(app(X1,X0)) = $sum(1,length(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_23) ).
tff(f47,plain,
~ $less(length(sK2),length(app(sK0,sK1))),
inference(cnf_transformation,[],[f40]) ).
tff(f20,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f360,plain,
( ( sK0 = sK2 )
| lsls(sK2,sK0) ),
inference(resolution,[],[f57,f46]) ).
tff(f46,plain,
lsls(sK2,app(sK0,sK1)),
inference(cnf_transformation,[],[f40]) ).
tff(f57,plain,
! [X2: heap,X0: $int,X1: heap] :
( ~ lsls(X1,app(X2,X0))
| ( X1 = X2 )
| lsls(X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
! [X0: $int,X1: heap,X2: heap] :
( ( lsls(X1,app(X2,X0))
| ( ~ lsls(X1,X2)
& ( X1 != X2 ) ) )
& ( lsls(X1,X2)
| ( X1 = X2 )
| ~ lsls(X1,app(X2,X0)) ) ),
inference(flattening,[],[f41]) ).
tff(f41,plain,
! [X0: $int,X1: heap,X2: heap] :
( ( lsls(X1,app(X2,X0))
| ( ~ lsls(X1,X2)
& ( X1 != X2 ) ) )
& ( lsls(X1,X2)
| ( X1 = X2 )
| ~ lsls(X1,app(X2,X0)) ) ),
inference(nnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0: $int,X1: heap,X2: heap] :
( lsls(X1,app(X2,X0))
<=> ( lsls(X1,X2)
| ( X1 = X2 ) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X0: $int,X2: heap,X1: heap] :
( lsls(X2,app(X1,X0))
<=> ( lsls(X2,X1)
| ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_27) ).
tff(f144,plain,
( ( length(sK0) != length(sK2) )
| spl3_5 ),
inference(avatar_component_clause,[],[f143]) ).
tff(f143,plain,
( spl3_5
<=> ( length(sK0) = length(sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
tff(f164,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f163]) ).
tff(f163,plain,
( $false
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f153,f19]) ).
tff(f153,plain,
( $less($sum(1,length(sK2)),$sum(1,length(sK2)))
| ~ spl3_5 ),
inference(backward_demodulation,[],[f92,f145]) ).
tff(f145,plain,
( ( length(sK0) = length(sK2) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f143]) ).
tff(f92,plain,
$less($sum(1,length(sK0)),$sum(1,length(sK2))),
inference(forward_demodulation,[],[f90,f14]) ).
tff(f90,plain,
$less($sum(1,length(sK0)),$sum(length(sK2),1)),
inference(resolution,[],[f23,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : DAT062_1 : TPTP v8.2.0. Released v5.5.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 23:26:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (11845)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (11848)WARNING: value z3 for option sas not known
% 0.13/0.36 % (11847)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (11849)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (11846)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (11851)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.36 % (11850)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36 % (11848)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (11852)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (11849)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (11847)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (11847)Terminated due to inappropriate strategy.
% 0.13/0.37 % (11847)------------------------------
% 0.13/0.37 % (11847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (11846)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (11849)Terminated due to inappropriate strategy.
% 0.13/0.37 % (11849)------------------------------
% 0.13/0.37 % (11849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (11849)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (11849)Memory used [KB]: 749
% 0.13/0.37 % (11849)Time elapsed: 0.002 s
% 0.13/0.37 % (11849)Instructions burned: 3 (million)
% 0.13/0.37 % (11846)Terminated due to inappropriate strategy.
% 0.13/0.37 % (11846)------------------------------
% 0.13/0.37 % (11846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (11846)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (11846)Memory used [KB]: 749
% 0.13/0.37 % (11846)Time elapsed: 0.003 s
% 0.13/0.37 % (11846)Instructions burned: 3 (million)
% 0.13/0.37 % (11847)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (11847)Memory used [KB]: 749
% 0.13/0.37 % (11847)Time elapsed: 0.003 s
% 0.13/0.37 % (11847)Instructions burned: 3 (million)
% 0.13/0.37 % (11849)------------------------------
% 0.13/0.37 % (11849)------------------------------
% 0.13/0.37 % (11846)------------------------------
% 0.13/0.37 % (11846)------------------------------
% 0.13/0.37 % (11847)------------------------------
% 0.13/0.37 % (11847)------------------------------
% 0.20/0.38 % (11853)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.38 % (11854)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.20/0.38 % (11855)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.20/0.38 % (11853)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.38 % (11853)Terminated due to inappropriate strategy.
% 0.20/0.38 % (11853)------------------------------
% 0.20/0.38 % (11853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (11853)Termination reason: Inappropriate
% 0.20/0.38
% 0.20/0.38 % (11853)Memory used [KB]: 747
% 0.20/0.38 % (11853)Time elapsed: 0.002 s
% 0.20/0.38 % (11853)Instructions burned: 3 (million)
% 0.20/0.38 % (11853)------------------------------
% 0.20/0.38 % (11853)------------------------------
% 0.20/0.40 % (11855)First to succeed.
% 0.20/0.40 % (11855)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11845"
% 0.20/0.40 % (11855)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Theorem for theBenchmark
% 0.20/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40 % (11855)------------------------------
% 0.20/0.40 % (11855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.40 % (11855)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (11855)Memory used [KB]: 959
% 0.20/0.40 % (11855)Time elapsed: 0.039 s
% 0.20/0.40 % (11855)Instructions burned: 25 (million)
% 0.20/0.40 % (11845)Success in time 0.039 s
%------------------------------------------------------------------------------