TSTP Solution File: ARI734_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI734_1 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 18:51:22 EDT 2024
% Result : Theorem 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 124 ( 94 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 160 ( 72 ~; 51 |; 24 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 287 ( 7 atm; 104 fun; 130 num; 46 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 35 !; 11 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f1187,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f61,f145,f1180]) ).
tff(f1180,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f1179]) ).
tff(f1179,plain,
( $false
| spl1_2 ),
inference(evaluation,[],[f1174]) ).
tff(f1174,plain,
( ( $product(2,sK0) != $product(2,$sum(1,$sum(-1,sK0))) )
| spl1_2 ),
inference(superposition,[],[f71,f326]) ).
tff(f326,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f19,f17]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f71,plain,
( ( $product(2,sK0) != $sum(2,$product(2,$sum(-1,sK0))) )
| spl1_2 ),
inference(superposition,[],[f53,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f53,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(-1,sK0)),2) )
| spl1_2 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f51,plain,
( spl1_2
<=> ( $product(2,sK0) = $sum($product(2,$sum(-1,sK0)),2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f145,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f144]) ).
tff(f144,plain,
( $false
| spl1_1
| ~ spl1_3 ),
inference(evaluation,[],[f125]) ).
tff(f125,plain,
( ( 0 != $product(2,0) )
| spl1_1
| ~ spl1_3 ),
inference(backward_demodulation,[],[f49,f59]) ).
tff(f59,plain,
( ( 0 = sK0 )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f57,plain,
( spl1_3
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f49,plain,
( ( 0 != $product(2,sK0) )
| spl1_1 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f47,plain,
( spl1_1
<=> ( 0 = $product(2,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f61,plain,
( ~ spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f39,f57,f47]) ).
tff(f39,plain,
( ( 0 != sK0 )
| ( 0 != $product(2,sK0) ) ),
inference(equality_resolution,[],[f38]) ).
tff(f38,plain,
! [X3: $int] :
( ( 0 != sK0 )
| ( 0 != $product(2,sK0) )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f37]) ).
tff(f37,plain,
! [X2: $int,X3: $int] :
( ( 0 != sK0 )
| ( 0 != $product(2,sK0) )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f27]) ).
tff(f27,plain,
! [X2: $int,X3: $int,X1: $int] :
( ( $product(2,sK0) != X1 )
| ( 0 != sK0 )
| ( 0 != X1 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ! [X1: $int] :
( ( $product(2,sK0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != sK0 ) )
| ( ( 0 != X1 )
& ( 0 = sK0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ) ) )
& ~ $less(sK0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f22,f23]) ).
tff(f23,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( ( $product(2,X0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != X0 ) )
| ( ( 0 != X1 )
& ( 0 = X0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(X0,$uminus(1)) != X3 ) ) ) )
& ~ $less(X0,0) )
=> ( ! [X1: $int] :
( ( $product(2,sK0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != sK0 ) )
| ( ( 0 != X1 )
& ( 0 = sK0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ) ) )
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f22,plain,
? [X0: $int] :
( ! [X1: $int] :
( ( $product(2,X0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != X0 ) )
| ( ( 0 != X1 )
& ( 0 = X0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(X0,$uminus(1)) != X3 ) ) ) )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ? [X1: $int] :
( ( $product(2,X0) = X1 )
& ? [X2: $int] :
( ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ? [X3: $int] :
( ( $product(2,X3) = X2 )
& ( $sum(X0,$uminus(1)) = X3 ) ) ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( $greatereq(X0,0)
=> ? [X1: $int] :
( ( $product(2,X0) = X1 )
& ? [X2: $int] :
( ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ? [X3: $int] :
( ( $product(2,X3) = X2 )
& ( $difference(X0,1) = X3 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( $greatereq(X0,0)
=> ? [X1: $int] :
( ( $product(2,X0) = X1 )
& ? [X2: $int] :
( ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ? [X3: $int] :
( ( $product(2,X3) = X2 )
& ( $difference(X0,1) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula) ).
tff(f60,plain,
( spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f55,f51,f57]) ).
tff(f55,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(-1,sK0)),2) )
| ( 0 = sK0 ) ),
inference(forward_demodulation,[],[f43,f4]) ).
tff(f43,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(sK0,-1)),2) )
| ( 0 = sK0 ) ),
inference(evaluation,[],[f36]) ).
tff(f36,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(sK0,$uminus(1))),2) )
| ( 0 = sK0 ) ),
inference(equality_resolution,[],[f35]) ).
tff(f35,plain,
! [X3: $int] :
( ( $product(2,sK0) != $sum($product(2,X3),2) )
| ( 0 = sK0 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f34]) ).
tff(f34,plain,
! [X2: $int,X3: $int] :
( ( $sum(X2,2) != $product(2,sK0) )
| ( 0 = sK0 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f28]) ).
tff(f28,plain,
! [X2: $int,X3: $int,X1: $int] :
( ( $product(2,sK0) != X1 )
| ( $sum(X2,2) != X1 )
| ( 0 = sK0 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI734_1 : TPTP v8.2.0. Released v6.4.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n009.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 : Sun May 19 13:21:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (1786)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (1789)WARNING: value z3 for option sas not known
% 0.14/0.36 % (1791)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (1794)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)
% 0.14/0.36 % (1793)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)
% 0.14/0.36 % (1792)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)
% 0.14/0.36 % (1789)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)
% 0.14/0.36 % (1788)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (1787)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (1791)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36 % (1791)Terminated due to inappropriate strategy.
% 0.14/0.36 % (1791)------------------------------
% 0.14/0.36 % (1791)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (1788)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36 % (1791)Termination reason: Inappropriate
% 0.14/0.36 % (1788)Terminated due to inappropriate strategy.
% 0.14/0.36 % (1788)------------------------------
% 0.14/0.36 % (1788)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (1788)Termination reason: Inappropriate
% 0.14/0.36
% 0.14/0.36 % (1788)Memory used [KB]: 728
% 0.14/0.36 % (1788)Time elapsed: 0.003 s
% 0.14/0.36 % (1788)Instructions burned: 2 (million)
% 0.14/0.36
% 0.14/0.36 % (1791)Memory used [KB]: 728
% 0.14/0.36 % (1791)Time elapsed: 0.003 s
% 0.14/0.36 % (1791)Instructions burned: 2 (million)
% 0.14/0.36 % (1787)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36 % (1787)Terminated due to inappropriate strategy.
% 0.14/0.36 % (1787)------------------------------
% 0.14/0.36 % (1787)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (1787)Termination reason: Inappropriate
% 0.14/0.36
% 0.14/0.36 % (1787)Memory used [KB]: 728
% 0.14/0.36 % (1787)Time elapsed: 0.002 s
% 0.14/0.36 % (1787)Instructions burned: 2 (million)
% 0.14/0.36 % (1788)------------------------------
% 0.14/0.36 % (1788)------------------------------
% 0.14/0.37 % (1791)------------------------------
% 0.14/0.37 % (1791)------------------------------
% 0.14/0.37 % (1787)------------------------------
% 0.14/0.37 % (1787)------------------------------
% 0.14/0.38 % (1795)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.38 % (1796)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)
% 0.14/0.38 % (1795)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (1795)Terminated due to inappropriate strategy.
% 0.14/0.38 % (1795)------------------------------
% 0.14/0.38 % (1795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (1795)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (1795)Memory used [KB]: 728
% 0.14/0.38 % (1795)Time elapsed: 0.002 s
% 0.14/0.38 % (1795)Instructions burned: 2 (million)
% 0.14/0.38 % (1795)------------------------------
% 0.14/0.38 % (1795)------------------------------
% 0.14/0.39 % (1797)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)
% 0.20/0.40 % (1798)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.20/0.44 % (1797)First to succeed.
% 0.20/0.44 % (1797)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1786"
% 0.20/0.44 % (1797)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Theorem for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (1797)------------------------------
% 0.20/0.44 % (1797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44 % (1797)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (1797)Memory used [KB]: 1254
% 0.20/0.44 % (1797)Time elapsed: 0.053 s
% 0.20/0.44 % (1797)Instructions burned: 90 (million)
% 0.20/0.44 % (1786)Success in time 0.081 s
%------------------------------------------------------------------------------